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[
{
"id": "1",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1.jpg",
"question": "Which number should be written in place of the question mark?\nA. 54\nB. 57\nC. 60\nD. 63",
"answer": "C"
},
{
"id": "2",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_2.jpg",
"question": "Which bike is most expensive?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "3",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_3.jpg",
"question": "Which kite has the longest string?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "4",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_4.jpg",
"question": "How many different digits can you find in this picture?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "6",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_6.jpg",
"question": "Misty the cat has five kittens: two of them are striped, one spotty, the rest of them are absolutely white. In which picture can we see the kittens of Misty, knowing that the ears of one of them are of different colour?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "7",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_7.jpg",
"question": "How many bricks are missing in the wall?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "9",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_9.jpg",
"question": "A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "11",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_11.jpg",
"question": "Mike has built a construction, shown in the upper picture, from equal cubes. Lily has taken several cubes out of it, thus Mike's construction became such as we see in the lower picture. How many cubes has Lily taken?\nA. 5\nB. 7\nC. 9\nD. 11",
"answer": "B"
},
{
"id": "12",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_12.jpg",
"question": "Now it is 2008. What is the total sum of these digits?\nA. 8\nB. 9\nC. 10\nD. 12",
"answer": "C"
},
{
"id": "14",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_14.jpg",
"question": "Mary has written all the numbers from 1 to 30 . How many times has she written digit 2?\nA. 11\nB. 12\nC. 13\nD. 14",
"answer": "C"
},
{
"id": "19",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_19.jpg",
"question": "Eve has taken 2 bananas to school. At first she changed each of them into 4 apples, later on she exchanged each apple into 3 mandarins. How many mandarins has Eve got?\n$2+4+3$\n$2 \\cdot 4+3$\n$2+4 \\cdot 3$\n$2 \\cdot 4 \\cdot 3$\n$2+4-3$",
"answer": "D"
},
{
"id": "20",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_20.jpg",
"question": "How many plums (see the picture) weigh as much as an apple?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "23",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_23.jpg",
"question": "Tom bought a chocolate heart (see the picture) to Mary on her birthday.\n\nHow many grams did the chocolate weigh, if each square weighs 10 grams?\nA. 120 grams\nB. 130 grams\nC. 140 grams\nD. 150 grams",
"answer": "C"
},
{
"id": "26",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_26.jpg",
"question": "The ladybird would like to sit on his flower. The flower has five petals and the stem has three leaves. On which flower should the ladybird sit?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "28",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_28.jpg",
"question": "There are more grey squares than white. How many more?\nA. 6\nB. 8\nC. 9\nD. 10",
"answer": "C"
},
{
"id": "29",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_29.jpg",
"question": "A big square is made from 25 small squares put together. A few of the small squares have been lost. How many have been lost?\nA. 8\nB. 9\nC. 10\nD. 12",
"answer": "C"
},
{
"id": "30",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_30.jpg",
"question": "Put the animals in order of size. Begin with the smallest. Which animal will be in the middle?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "31",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_31.jpg",
"question": "How many ducks weigh the same as a crocodile?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "32",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_32.jpg",
"question": "The kangaroo is inside how many circles?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "35",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_35.jpg",
"question": "Seven sticks lay on top of each other. Stick 2 lays right at the bottom. Stick 6 lays right on top. Which stick lays exactly in the middle?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "39",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_39.jpg",
"question": "Ingrid has 4 red, 3 blue, 2 green and 1 yellow cube. She uses them to build the following object:\n\nCubes with the same colour don't touch each other. Which colour is the cube with the question mark?\nred\nblue\ngreen\nYellow\nThis cannot be worked out for certain.",
"answer": "A"
},
{
"id": "40",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_40.jpg",
"question": "Which shape cannot be seen in every picture?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "41",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_41.jpg",
"question": "How many triangles can you find in the picture?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "43",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_43.jpg",
"question": "How many dots do all ladybirds have together?\nA. 16\nB. 17\nC. 19\nD. 21",
"answer": "C"
},
{
"id": "44",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_44.jpg",
"question": "Florian has 10 equally long metal strips with equally many holes.\n<image1>\nHe bolts the metal strips together in pairs. Now he has five long strips (see the diagram).\n<image2>\nWhich of the long strips is the shortest?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "47",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_47.jpg",
"question": "How many numbers are outside the square?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "48",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_48.jpg",
"question": "Michael has two building blocks. Each building block is made up of two cubes glued together. Which figure can he not make using the blocks?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "49",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_49.jpg",
"question": "Every one of these six building blocks consists of 5 little cubes. The little cubes are either white or grey. Cubes of equal colour don't touch each other. How many little white cubes are there in total?\nA. 10\nB. 11\nC. 12\nD. 13",
"answer": "C"
},
{
"id": "50",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_50.jpg",
"question": "Which piece is missing?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "52",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_52.jpg",
"question": "Which point in the labyrinth can we get to, starting at point $O$?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "53",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_53.jpg",
"question": "Max has 10 dice. Which one of the following solids can he build with them?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "56",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_56.jpg",
"question": "Konrad has some pieces of cardboard which all look like this:\n<image1>\nWhich of the shapes below can he not make out of these pieces?\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "57",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_57.jpg",
"question": "Five sparrows are sitting on a rope (see picture). Some of them are looking to the left, some of them are looking to the right. Every sparrow whistles as many times as the number of sparrows he can see sitting in front of him. For example, the third sparrow whistles exactly twice. How often do all sparrows whistle altogether?\nA. 8\nB. 9\nC. 10\nD. 12",
"answer": "C"
},
{
"id": "60",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_60.jpg",
"question": "Ellen wants to decorate the butterfly Which butterfly can she make?\n<image1>\nusing these 6 stickers\n<image2>\n<image3>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "61",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_61.jpg",
"question": "Into how many pieces will the string be cut?\nA. 7\nB. 8\nC. 9\nD. 10",
"answer": "C"
},
{
"id": "62",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_62.jpg",
"question": "How many blocks are missing in this igloo?\nA. 8\nB. 9\nC. 10\nD. 11",
"answer": "C"
},
{
"id": "65",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_65.jpg",
"question": "Jim and Ben are sitting in a ferris wheel (see picture on the right). The ferris wheel is turning. Now Ben is in the position where Jim was beforehand. Where is Jim now?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "66",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_66.jpg",
"question": "Alfred turns his building block 10 times. The first three times can be seen in the picture.\nWhat is the final position of the building block?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "69",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_69.jpg",
"question": "Lisa has several sheets of construction paper like this\n<image1>\nand\n<image2>\nShe wants to make 7 identical crowns:\n<image3>\nFor that she cuts out the necessary parts.\nWhat is the minimum number of sheets of construction paper that she has to cut up?\nA. 7\nB. 8\nC. 9\nD. 10",
"answer": "C"
},
{
"id": "70",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_70.jpg",
"question": "Simon has two identical tiles, whose front look like this: The back is white.\n<image1>\nWhich pattern can he make with those two tiles?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "71",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_71.jpg",
"question": "Each one of the four keys locks exactly one padlock. Every letter on a padlock stands for exactly one digit. Same letters mean same digits.\nWhich letters must be written on the fourth padlock?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "72",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_72.jpg",
"question": "Alice draws lines between the beetles. She starts with the beetle with the fewest points. Then she continues drawing to the beetle with one more point. Which figure is formed?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "73",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_73.jpg",
"question": "The same amount of kangaroos should be in both parks. How many kangaroos have to be moved from the left park to the right park for that to happen?\nA. 3\nB. 5\nC. 6\nD. 8",
"answer": "B"
},
{
"id": "74",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_74.jpg",
"question": "Which beetle has to fly away so that the remaining beetles have 20 dots altogether?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "75",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_75.jpg",
"question": "Peter has drawn this pattern:\n\nHe draws exactly the same pattern once more.\nWhich point is on his drawing?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "76",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_76.jpg",
"question": "Theodor has built this tower made up of discs. He looks at the tower from above. How many discs does he see?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "77",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_77.jpg",
"question": "This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "79",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_79.jpg",
"question": "Lisa needs exactly 3 pieces to complete her jigsaw.\nWhich of the 4 pieces is left over?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "80",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_80.jpg",
"question": "Charles cuts a rope into 3 equally long pieces. Then he makes one knot in one of the pieces, 2 in the next and in the third piece 3 knots. Then he lays the three pieces down in a random order. Which picture does he see?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "82",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_82.jpg",
"question": "The number of spots on the fly agarics (toadstools) shows how many dwarfs fit under it. We can see one side of the fungi. The other side has the same amount of spots. When it rains 36 dwarfs are trying to hide under the fungi. How many dwarfs get wet?\nA. 3\nB. 6\nC. 12\nD. 18",
"answer": "B"
},
{
"id": "83",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_83.jpg",
"question": "Susi makes this pattern using ice-lolly sticks. Each stick is $5 \\mathrm{~cm}$ long and $1 \\mathrm{~cm}$ wide. How long is Susi's pattern?\n$20 \\mathrm{~cm}$\n$21 \\mathrm{~cm}$\n$22 \\mathrm{~cm}$\n$23 \\mathrm{~cm}$\n$25 \\mathrm{~cm}$",
"answer": "B"
},
{
"id": "85",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_85.jpg",
"question": "Which of these clouds contain only numbers that are smaller than 7 ?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "86",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_86.jpg",
"question": "Which of the 5 pictures shows a part of this chain?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "89",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_89.jpg",
"question": "J\u00f6rg is sorting his socks. Two socks with the same number are one pair.\n\nHow many pairs can he find?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "B"
},
{
"id": "93",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_93.jpg",
"question": "Which of the figures can be cut into these 3 pieces?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "95",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_95.jpg",
"question": "There are white, grey and black squares. Three children use these to make this pattern.\n<image1>\nFirst Anni replaces all black squares with white squares.\nThen Bob replaces all grey squares with black squares.\nFinally Chris replaces all white squares with grey squares.\nWhich picture have the three children now created?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "97",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_97.jpg",
"question": "Four strips of paper are used to make a pattern (see picture).\n<image1>\nWhat do you see when you look at it from behind?\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "98",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_98.jpg",
"question": "The kangaroo goes up three steps each time the rabbit goes down two steps. When the kangaroo is on step 9, on which step will the rabbit be?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "B"
},
{
"id": "99",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_99.jpg",
"question": "Julia has 5 pieces of plastic and has stacked these pieces on a table, as shown beside. What was the second piece she put on the table?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "101",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_101.jpg",
"question": "Every night the wizard Tilim makes the weather forecast for the king. When Tilim gets it right he gets 3 gold coins, but when he makes a mistake, he pays a fine of 2 gold coins. After making the prediction for 5 days, Tilim did the math and discovered that he neither won nor lost coins. How many times did he get the weather forecast right in those 5 days?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "103",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_103.jpg",
"question": "Ana has the cards shown on the left. She chooses several of them to assemble the tower shown on the right. Which cards did she not use?\n<image1>\n<image2>\n<image3>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "105",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_105.jpg",
"question": "Ana draws some shapes on a sheet. Her drawing has fewer squares than triangles. What could be her drawing?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "107",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_107.jpg",
"question": "A village of 12 houses has four straight streets and four circular streets. The map shows 11 houses. In each straight street there are three houses and in each circular street there are also three houses. Where should the 12th house be placed on this map?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "108",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_108.jpg",
"question": "Five blocks are built with equal cubes glued face to face. In which of them was the smallest number of cubes used?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "110",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_110.jpg",
"question": "Six figures were drawn, one on each side of a cube, as shown beside, in different positions. On the side that does not appear beside is this drawing:\n<image1>\nWhat is the figure on the face opposite to it?\n<image2>\n<image3>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "111",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_111.jpg",
"question": "Maria wants to write whole numbers in the squares of the figure, so that the sum of the numbers in three consecutive squares is always 10. She has already written a number. What number should she write on the gray square?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "112",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_112.jpg",
"question": "Turning a card around on the top side, we see the photo of the kangaroo. Instead, if we turn the card around on the right side, what will appear?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "115",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_115.jpg",
"question": "Six different numbers, chosen from integers 1 to 9 , are written on the faces of a cube, one number per face. The sum of the numbers on each pair of opposite faces is always the same. Which of the following numbers could have been written on the opposite side with the number 8 ?\nA. 2\nB. 3\nC. 5\nD. 7",
"answer": "B"
},
{
"id": "117",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_117.jpg",
"question": "In the figure, an arrow pointing from one person to another means that the first person is shorter than the second. For example, person $B$ is shorter than person $A$. Which person is the tallest?\nPerson A\nPerson B\nPerson C\nPerson D\nPerson E",
"answer": "C"
},
{
"id": "120",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_120.jpg",
"question": "The picture shows 2 mushrooms. What is the difference between their heights?\nA. 2\nB. 4\nC. 5\nD. 7",
"answer": "C"
},
{
"id": "121",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_121.jpg",
"question": "Which of the paths shown in the pictures is the longest?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "122",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_122.jpg",
"question": "Four identical pieces of paper are placed as shown. Michael wants to punch a hole that goes through all four pieces. At which point should Michael punch the hole?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "124",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_124.jpg",
"question": "These children are standing in a line. Some are facing forwards and others are facing backwards. How many children are holding another child's hand with their right hand?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "125",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_125.jpg",
"question": "In the Kangaroo constellation, all stars have a number greater than 3 and their sum is 20 . Which is the Kangaroo constellation?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "130",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_130.jpg",
"question": "Which figure can be made from the 2 pieces shown on the right?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "131",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_131.jpg",
"question": "The picture shows the five houses of five friends and their school. The school is the largest building in the picture. To go to school, Doris and Ali walk past Leo's house. Eva walks past Chole's house. Which is Eva's house?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "132",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_132.jpg",
"question": "Mara built the square by using 4 of the following 5 shapes. Which shape was not used?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "135",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_135.jpg",
"question": "Each participant in a cooking contest baked one tray of cookies like the one shown beside. What is the smallest number of trays of cookies needed to make the following plate?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "136",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_136.jpg",
"question": "Stan has five toys: a ball, a set of blocks, a game, a puzzle and a car. He puts each toy on a different shelf of the bookcase. The ball is higher than the blocks and lower than the car. The game is directly above the ball. On which shelf can the puzzle not be placed?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "137",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_137.jpg",
"question": "In which box are the most triangles?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "140",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_140.jpg",
"question": "In the four squares of a row there always have to be exactly two coins. In the four squares below each other there also always have to be exactly two coins.\n\nOn which square does one more coin have to be placed?\nsquare $A$\nsquare $B$\nsquare $C$\nsquare $D$\nsquare $E$",
"answer": "D"
},
{
"id": "141",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_141.jpg",
"question": "A monkey has torn off a piece of Captain Jack's map.\n<image1>\nWhat does the piece the monkey has torn off look like?\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "142",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_142.jpg",
"question": "These five animals are made up from different shapes. There is one shape which is only used on one animal. On which animal is this shape used?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "144",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_144.jpg",
"question": "The picture shows one object made up of 5 identical building blocks.\n\nHow many building blocks touch exactly 3 others?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "146",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_146.jpg",
"question": "Carl writes down a five-digit number.\nHe then places a shape on each of the five digits (see picture).\nHe places different shapes on different digits.\nHe places the same shape on the same digits.\nWhich number did Carl hide?\nA. 33426\nB. 34426\nC. 35426\nD. 34436",
"answer": "B"
},
{
"id": "148",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_148.jpg",
"question": "Below you see five pieces of lawn. Which one has the smallest area of grass?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "151",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_151.jpg",
"question": "Out of how many circles is the beaver made of?\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "C"
},
{
"id": "153",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_153.jpg",
"question": "Each bowl has 4 balls. Add up the numbers on the balls. In which bowl is the result biggest?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "154",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_154.jpg",
"question": "Mr Beaver re-arranges the parts to build a kangaroo.\n<image1>\nWhich part is missing?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "156",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_156.jpg",
"question": "The bee on the right has a few pieces missing. Each piece costs points (Punkte).\n\nHow many points does Maya need to complete the bee?\nA. 9 Punkte\nB. 11 Punkte\nC. 13 Punkte\nD. 16 Punkte",
"answer": "C"
},
{
"id": "158",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_158.jpg",
"question": "Hansi sticks 12 cubes together to make this figure. He always puts one drop of glue between two cubes. How many drops of glue does he need?\nA. 9\nB. 10\nC. 11\nD. 12",
"answer": "C"
},
{
"id": "160",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_160.jpg",
"question": "Max wants to complete the jigsaw shown. He has different pieces.\n<image1>\nWhich pieces does he have to use?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "161",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_161.jpg",
"question": "Elvis has 6 triangles with this pattern\n<image1>\nWhich picture can he make with them?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "162",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_162.jpg",
"question": "Each of the children Ali, Lea, Josef, Vittorio and Sophie get a birthday cake. The number on top of the cake shows how old the child is. Lea is two years older than Josef, but one year younger than Ali. Vittorio is the youngest. Which cake belongs to Sophie?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "185",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_185.jpg",
"question": "There are four cards on the table as in the picture. Every card has a letter on one side and a number on the other side. Peter said: \"For every card on the table it is true that if there is a vowel on one side, there is an even number on the other side.\" What is the smallest number of cards Alice must turn in order to check whether Peter said the truth?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "A"
},
{
"id": "223",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_223.jpg",
"question": "The sum of the number in each line, column and diagonal in the \u0102magic square\u00f1on the right is always constant. Only two numbers are visible. Which number is missing in field $a$?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "225",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_225.jpg",
"question": "In the box are seven blockss. You want to rearrange the blocks so that another block can placed. What is the minimum number of blocks that have to be moved?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "235",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_235.jpg",
"question": "Jan cannot draw very accurately but nevertheless he tried to produce a roadmap of his village. The relative position of the houses and the street crossings are all correct but three of the roads are actually straight and only Qurwik street is not. Who lives in Qurwik street?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "305",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_305.jpg",
"question": "Nine whole numbers were written into the cells of a $3 \\times 3$-table. The sum of these nine numbers is 500. We know that the numbers in two adjacent cells (with a common sideline) differ by exactly 1. Which number is in the middle cell?\nA. 54\nB. 56\nC. 57\nD. 59",
"answer": "B"
},
{
"id": "307",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_307.jpg",
"question": "The diagram shows the floor plan of Renate's house. Renate enters her house from the terrace (Terrasse) and walks through every door of the house exactly once. Which room does she end up in?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "334",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_334.jpg",
"question": "Numbers are to be placed into the square grid shown, so that each of the numbers $1,2,3,4$ and 5 appears exactly once in each row and in each column. Furthermore sthe sum of all numbers in the three black-bordered sections should always be the same. Which number has to be written into the top right cell?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "341",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_341.jpg",
"question": "Matias wrote 15 numbers on the wheel represented beside. Only one of them is visible, the 10 on top of the wheel. The sum of the numbers in any seven consecutive positions, such as the gray positions in the figure, does not vary. When seven numbers in consecutive positions are summed up, which of the following results is possible?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "356",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_356.jpg",
"question": "In the $5 \\times 5$ square shown the sum of the numbers in each row and in each column is the same. There is a number in every cell, but some of the numbers are not shown. What is the number in the cell marked with a question mark?\nA. 8\nB. 10\nC. 12\nD. 14",
"answer": "B"
},
{
"id": "361",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_361.jpg",
"question": "Five kangaroos named A, B, C, D and E have one child each, named a, b, c, d and e, not necessarily in that order. In the first group photo shown exactly 2 of the children are standing next to their mothers. In the second group photo exactly 3 of the children are standing next to their mothers. Whose child is a?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "375",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_375.jpg",
"question": "Which two building blocks can be joined together so that the object shown is created?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "394",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_394.jpg",
"question": "The numbers from 1 to 11 are written in the empty hexagons. The sums of the three numbers in three hexagons with a common bold point are always equal. Three of the eleven numbers are already written in (see diagram). Which number is written in the hexagon with the question mark?\nA. 7\nB. 8\nC. 9\nD. 10",
"answer": "C"
},
{
"id": "399",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_399.jpg",
"question": "This table shows the quantity of different types of flowers in the botanical garden. Ted was told by the gardener that there were 35 azaleas, 50 irises and 85 roses in the garden. What is the number of gerberas growing in the garden?\nA. 100\nB. 110\nC. 120\nD. 130",
"answer": "B"
},
{
"id": "403",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_403.jpg",
"question": "The picture on the right has been drawn on paper and cut out to make a house. Which of the houses does it make?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "406",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_406.jpg",
"question": "Which numbers are written in the area that belongs to the rectangle and to the circle but doesn't belong to the triangle?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "408",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_408.jpg",
"question": "Which of the rectangles $\\mathbf{A}$ to $\\mathbf{E}$ can be covered by the pattern on the right-hand side in such a way that the result is a totally black rectangle?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "409",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_409.jpg",
"question": "In this picture there is what I saw on four different clocks at the same time. Only one of them had the right time. One was 20 minutes fast. Another 20 minutes slow. One had stopped some time ago.\n\nWhat was the right time?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "426",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_426.jpg",
"question": "Betty keeps drawing three different figures in the same order. Which figure should be the next?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "427",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_427.jpg",
"question": "How many cubes have been taken from the block?\nA. 5\nB. 6\nC. 7\nD. 9",
"answer": "C"
},
{
"id": "434",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_434.jpg",
"question": "You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle?\n<image1>\n<image2>\nA. Triangle\nB. Rectangle\nC. Trapezoid\nD. Circle",
"answer": "C"
},
{
"id": "439",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_439.jpg",
"question": "Zita walks from left to right and puts the numbers into her basket. Which of the following numbers can be in her basket?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "440",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_440.jpg",
"question": "In which figure can you find the largest number of small squares?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "448",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_448.jpg",
"question": "How many stars are inside the figure?\nA. 90\nB. 93\nC. 95\nD. 98",
"answer": "C"
},
{
"id": "450",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_450.jpg",
"question": "The storm made a hole on the front side of the roof. There were 10 roof tiles in each of 7 rows. How many tiles are left on the front side of the roof?\nA. 53\nB. 55\nC. 57\nD. 60",
"answer": "C"
},
{
"id": "452",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_452.jpg",
"question": "Anna made the figure on the right out of five cubes. Which of the following figures (when seen from any direction) cannot she get from the figure on the right side if she is allowed to move exactly one cube?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "453",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_453.jpg",
"question": "Which of the figures is shown most often in the sequence?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "458",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_458.jpg",
"question": "Where is the Kangaroo?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "459",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_459.jpg",
"question": "In the picture you see the number 930 . How many small squares must be changed so that the number becomes 806?\n<image1>\n<image2>\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "463",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_463.jpg",
"question": "Thomas has made a table out of small cubes. How many small cubes did he use?\nA. 29\nB. 31\nC. 32\nD. 34",
"answer": "C"
},
{
"id": "468",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_468.jpg",
"question": "Which square contains 3 quadrilaterals, 3 circles and 4 hearts?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "469",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_469.jpg",
"question": "Six coins build a triangle (see picture). What is the smallest number of coins that must be moved to create the circle?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "470",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_470.jpg",
"question": "I have tiles that look like this...\n<image1>\nWhich pattern can I not create with them?\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "476",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_476.jpg",
"question": "A game is played on a board as shown in the picture. I move the counter from square to square according to the following rules. First, one square to the right, then one square up, then one square left, then one square down, and then once again one square right. Which picture shows where the counter can then be found?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "477",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_477.jpg",
"question": "Maria describes one of these five shapes in the following way: \"It is not a square. It is grey. It is either round or three sided.\" Which shape did she describe?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "478",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_478.jpg",
"question": "Which shape has the biggest area?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "480",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_480.jpg",
"question": "In each square of the maze there is a piece of cheese. Ronnie the mouse wants to enter and leave the maze as shown in the picture. He doesn't want to visit a square more than once, but would like to eat as much cheese as possible. What is the maximum number of pieces of cheese that he can eat?\nA. 32\nB. 35\nC. 37\nD. 40",
"answer": "C"
},
{
"id": "484",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_484.jpg",
"question": "Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "485",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_485.jpg",
"question": "The picture shows a Fortress made from cubes. How many cubes were used to make it?\nA. 52\nB. 55\nC. 56\nD. 59",
"answer": "C"
},
{
"id": "488",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_488.jpg",
"question": "In which of the five pictures is the white area bigger than the grey area?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "492",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_492.jpg",
"question": "A Wall was tiled alternately with grey and striped tiles. Some tiles have fallen from the wall. How many grey tiles have fallen off?\nA. 5\nB. 6\nC. 7\nD. 8",
"answer": "C"
},
{
"id": "494",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_494.jpg",
"question": "You need 3 pieces to build this shape. Each piece is made out of 4 , equally sized cubes of the same colour. What is the shape of the white piece?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "D"
},
{
"id": "498",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_498.jpg",
"question": "How many more bricks does the right hand pyramid have than the left hand pyramid?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "499",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_499.jpg",
"question": "In which picture are there more black Kangaroos than white ones?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "500",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_500.jpg",
"question": "Anna has <image1>.\nBarbara gave Eva <image2>.\nJosef has a <image3>.\nBob has <image4>.\nWho is Barbara?\n<image5>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "501",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_501.jpg",
"question": "Anna starts in the direction of the arrow. At each crossing she turns either right or left. At the first crossing she turns right, at the next left, then left again, then right, then left and left again. What will she find at the next crossing that she comes to?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "503",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_503.jpg",
"question": "The rectangular mirror has broken. Which piece is missing?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "B"
},
{
"id": "504",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_504.jpg",
"question": "How many triangles can be seen in the picture on the right? (Be careful! A triangle can be also be made by joining several smaller triangles together.)\nA. 8\nB. 9\nC. 10\nD. 12",
"answer": "C"
},
{
"id": "510",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_510.jpg",
"question": "Luisa draws a star. She cuts a piece out of the middle of the drawing. What does this piece look like?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "511",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_511.jpg",
"question": "For which houses, were exactly the same building blocks used?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "512",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_512.jpg",
"question": "Christopher solved the sums next to the dots that you can see on the right, and got the answers 0 to 5 . He joined the dots in order. He started with the dot that had the answer 0 and finished with the dot that had the answer 5 . Which shape was he left with?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "A"
},
{
"id": "514",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_514.jpg",
"question": "With which square do you have to swap the question mark, so that the white area and the black area are the same size?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "517",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_517.jpg",
"question": "Katja throws darts at the target pictured on the right. If she does not hit the target she gets no points. She throws twice and adds her points. What can her total not be?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "518",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_518.jpg",
"question": "Erwin has got the following paper pieces:\n<image1>\nWith these four pieces he must exactly cover a special shape. In which drawing will he manage this, if the piece <image2> is placed as shown?\n<image3>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "C"
},
{
"id": "520",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_520.jpg",
"question": "How many dots are in the picture?\nA. 177\nB. 181\nC. 185\nD. 189",
"answer": "B"
},
{
"id": "521",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_521.jpg",
"question": "Seven children stand in a circle. Nowhere are two boys found standing next to each other. Nowhere are three girls found standing next to each other. What is possible for the number of girls? The number of girls can...\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "529",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_529.jpg",
"question": "Florian has 10 identical metal strips, each with the same amount of holes (picture above). He bolts these strips in pairs. That way he gets the 5 long strips in the picture below. Which of the long strips is the longest?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "532",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_532.jpg",
"question": "The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "536",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_536.jpg",
"question": "Jack makes a cube from 27 small cubes. The small cubes are either grey or white as shown in the diagram. Two small cubes with the same colour are not allowed to be placed next to each other. How many small, white cubes has Jack used?\nA. 11\nB. 12\nC. 13\nD. 14",
"answer": "C"
},
{
"id": "537",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_537.jpg",
"question": "Peter rides his bike along a cycle path in a park. He starts at point $S$ and rides in the direction of the arrow. At the first crossing he turns right, then at the next left, and then again to the right and then again to left. Which crossing does he not reach?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "540",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_540.jpg",
"question": "Luca wants to cut the shape in figure 1 into equally sized small triangles (like those in figure 2). One of these triangles is already drawn on figure 1. How many of these triangles will he get?\nA. 12\nB. 14\nC. 15\nD. 18",
"answer": "C"
},
{
"id": "541",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_541.jpg",
"question": "Some of the small squares on each of the square transparencies have been coloured black. If you slide the three transparencies on top of each other, without lifting them from the table, a new pattern can be seen. What is the maximum number of black squares which could be seen in the new pattern?\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "C"
},
{
"id": "543",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_543.jpg",
"question": "The shape in the picture is to be split into three identical pieces. What does one of these pieces look like?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "548",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_548.jpg",
"question": "What is the final result?\nA. 22\nB. 23\nC. 24\nD. 25",
"answer": "C"
},
{
"id": "550",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_550.jpg",
"question": "Georg goes to the circus with his father. They have the seat numbers 71 and 72 . Which arrow do they have to follow to get to their seats?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "D"
},
{
"id": "552",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_552.jpg",
"question": "Which of the following sentences fits to the picture?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "554",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_554.jpg",
"question": "In the middle of the big diagram one piece is missing and should be replaced. You are only allowed to do this by connecting light-grey lines with light-grey lines, dark-grey lines with dark-grey lines and black lines with black lines. Which piece fits?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "555",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_555.jpg",
"question": "Five children each have a black square, a grey triangle and a white circle made up of paper. The children place the three shapes on top of each other as seen in the pictures. In how many pictures was the triangles placed after the square?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "C"
},
{
"id": "556",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_556.jpg",
"question": "Chantal has placed numbers in two of the nine cells (see diagram). She wants to place the numbers 1, 2, 3 in every row and every column exactly once. How big is the sum of the two numbers in the grey cells?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "558",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_558.jpg",
"question": "A card has a diagram printed on one side and the other side is plain white. The card is first flipped over to the left and then upwards (see diagram). Which picture do you get this way?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "561",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_561.jpg",
"question": "Five sparrows on a rope look in one or the other direction (see diagram). Every sparrow whistles as many times as the number of sparrows he can see in front of him. Azra therefore whistles four times. Then one sparrow turns in the opposite direction and again all sparrows whistle according to the same rule. The second time the sparrows whistle more often in total than the first time. Which sparrow has turned around?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "565",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_565.jpg",
"question": "The picture above rotated. The picture below shows the new position after the rotation. Which footprints are missing after the rotation?\n<image1>\n<image2>\n<image3>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "C"
},
{
"id": "566",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_566.jpg",
"question": "How many white squares need to be coloured in black, so that there are exactly twice as many white squares as there are black squares?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "570",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_570.jpg",
"question": "Every box shows the result of the addition of the numbers on the very left and on the very top (for example: $6+2=8$ ). Which number is written behind the question mark?\nA. 13\nB. 14\nC. 15\nD. 16",
"answer": "C"
},
{
"id": "574",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_574.jpg",
"question": "Max builds this construction using some small equally big cubes. If he looks at his construction from above, the plan on the right tells the number of cubes in every tower. How big is the sum of the numbers covered by the two hearts?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "578",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_578.jpg",
"question": "Leonie has hidden a Smiley behind some of the grey boxes. The numbers state how many Smileys there are in the neighbouring boxes. Two boxes are neighbouring if they have one side or one corner in common. How many Smileys has Leonie hidden?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "579",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_579.jpg",
"question": "As seen in the diagram, 3 darts are flying towards 9 fixed balloons. If a balloon is hit by a dart, it bursts and the dart continues in the same direction it had beforehand. How many balloons are hit by the darts?\nA. 3\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "580",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_580.jpg",
"question": "The diagram shows a wooden block with 5 screws. 4 of which are equally long, one screw is shorter.\n\nWhich is the shorter screw?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "581",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_581.jpg",
"question": "Leonie has one stamp for each of the digits $0,1,2,3,4,5,6,7,8,9$. Using them, she stamps the date of the kangaroocompetition. How many of the stamps does Leonie use to do that?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "582",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_582.jpg",
"question": "On the right you can see a picture of ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "585",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_585.jpg",
"question": "Using these tiles <image1> Robert makes different patterns. How many of the patterns shown below can he make?\n<image2>\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "587",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_587.jpg",
"question": "<image1>\nAlbert places these 5 figures <image2>, <image3>, <image4>, <image5>, <image6> on a 5x5-grid. Each figure is only allowed to appear once in every column and in every row. Which figure does Albert have to place on the field with the question mark?\n<image7>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "588",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_588.jpg",
"question": "Tom wants to completely cover his paper boat using the shapes\n<image1>\nWhat is the smallest number of shapes he needs for that?\n<image2>\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "595",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_595.jpg",
"question": "The rooms in Kanga's house are numbered. Eva enters the house through the main entrance. Eva has to walk through the rooms in such a way that each room that she enters has a number higher than the previous one. Through which door does Eva leave the house?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "600",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_600.jpg",
"question": "Each of the four balls weighs either 10 or 20 or 30 or 40 grams. Which ball weighs 30 grams?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "603",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_603.jpg",
"question": "There are two holes in the cover of a book. The book lies on the table opened up (see diagram).\n<image1>\nAfter closing up the book which vehicles can Olaf see?\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "604",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_604.jpg",
"question": "Three people walked through the snow in their winter boots. In which order did they walk through the snow?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "605",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_605.jpg",
"question": "Karina cuts out a piece of this form <image1> from the diagram on the right. Which one of the following pieces can she cut out?\n<image2>\n<image3>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "B"
},
{
"id": "606",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_606.jpg",
"question": "Using the connected sticks shown, Pia forms different shapes. Which shape can she not make?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "609",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_609.jpg",
"question": "Dennis takes off one of the squares of this shape <image1>\nHow many of these 5 shapes can he get?\n<image2>\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "618",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_618.jpg",
"question": "Marta sticks several triangles on top of each other and makes a star that way. What is the minimum number of triangles she has used?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "622",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_622.jpg",
"question": "Which of the following pictures can you NOT do with all the pieces beside?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "624",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_624.jpg",
"question": "Paulo took a rectangular sheet of paper, yellow on one side and green on the other side and, with several folds shown in the dotted lines in the figure below, made a little paper plane. To give the airplane a charm, Paulo made a circular hole, marked on the last figure.\n\nAfter playing a lot with the plane, Paulo unfolded the sheet and realized that there were several holes in it. How many holes did he count?\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "C"
},
{
"id": "634",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_634.jpg",
"question": "There are three flowers on the back of the left cactus. In total, the cactus on the right has six more flowers than the cactus on the left. How many flowers are on the back of the right cactus?\nA. 7\nB. 9\nC. 12\nD. 14",
"answer": "C"
},
{
"id": "635",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_635.jpg",
"question": "The $4 \\times 4$ grid without a little square, shown beside, was divided into three equal pieces. Which of the following figures represents one of these pieces?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "643",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_643.jpg",
"question": "Alaya draws a picture of the sun. Which of the following answers is part of her picture?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "B"
},
{
"id": "650",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_650.jpg",
"question": "The 5 balls shown begin to move simultaneously in the directions indicated by their arrows.\n<image1>\nWhen two balls going in opposite directions collide, the bigger ball swallows the smaller one and increases its value by the value of the smaller ball. The bigger ball continues to move in its original direction, as shown in the following example.\n<image2>\nWhat is the final result of the collisions of the 5 balls shown?\n<image3>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "652",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_652.jpg",
"question": "Nora plays with 3 cups on the kitchen table. She takes the left-hand cup, flips it over, and puts it to the right of the other cups. The picture shows the first\nmove. What do the cups look like after 10 moves?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "B"
},
{
"id": "653",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_653.jpg",
"question": "Eva has the 5 stickers shown: <image1>. She stuck one of them on each of the 5 squares of this board <image2> so that <image3> is not on square 5, <image4> is on square 1, and <image5> is adjacent to <image6> and <image7>. On which square did Eva stick <image5>?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "658",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_658.jpg",
"question": "Elena wants to write the numbers from 1 to 9 in the squares shown. The arrows always point from a smaller number to a larger one. She has already written 5 and 7. Which number should she write instead of the question mark?\nA. 4\nB. 6\nC. 8\nD. 9",
"answer": "B"
},
{
"id": "661",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_661.jpg",
"question": "One of the five coins $A, B, C, D$ or $E$ shall be placed in an empty square so that there are exactly two coins in each row and in each column. Which coin should be moved?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "664",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_664.jpg",
"question": "In the diagram below two neighbouring squares are never allowed to have the same number. Which puzzle piece has to be placed in the gap so that this rule is followed?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "D"
},
{
"id": "665",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_665.jpg",
"question": "John uses some building blocks to form a work of art. What does John see when he looks at his work of art from above?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "666",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_666.jpg",
"question": "Five cars are labelled with the numbers 1 to 5 . They drive in the direction of the arrow.\n\nFirst the last car overtakes the two cars in front of it.\nThen the now second to last car overtakes the two in front of it.\nIn the end the car that is now in the middle overtakes the two in front of it.\nIn which order do the cars now drive?\n$1,2,3,4,5$\n$2,1,3,5,4$\n$2,1,5,3,4$\n$3,1,4,2,5$\n$4,1,2,5,3$",
"answer": "B"
},
{
"id": "671",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_671.jpg",
"question": "Jan sends five postcards to his friends during his holiday.\nThe card for Michael does not have ducks.\nThe card for Lexi shows a dog.\nThe card for Clara shows the sun.\nThe card for Heidi shows kangaroos.\nThe card for Paula shows exactly two animals.\nWhich card does Jan send to Michael?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "672",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_672.jpg",
"question": "Wanda chooses some of the following shapes. She says: \"I have chosen exactly 2 grey, 2 big and 2 round shapes.\" What is the minimum number of shapes Wanda has chosen?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "673",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_673.jpg",
"question": "The little caterpillar <image1> rolls up to go to sleep. What could it look like then?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "675",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_675.jpg",
"question": "A road leads away from each of the six houses (see diagram). A hexagon showing the roads in the middle is however, missing. Which hexagons fit in the middle so\nthat one can travel from $A$ to $B$ and to $E$, but not to $D$?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "677",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_677.jpg",
"question": "The big cube is made up of three different kinds of building blocks (see diagram). How many of the little white cubes are needed for this big cube?\nA. 10\nB. 11\nC. 12\nD. 13",
"answer": "B"
},
{
"id": "681",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_681.jpg",
"question": "A black disc with two holes is placed on top of a dial of a watch.\nThe black disc is turned.\nWhich two numbers can be seen at the same time?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "689",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_689.jpg",
"question": "The diagram shows four cars 1, 2, 3 and 4. The arrows show where the cars move to in 5 seconds. Which cars will crash into each other?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "698",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_698.jpg",
"question": "Else has two machines R and S. If she puts a square piece of paper into machine $R$ it is rotated: <image1>\nIf she puts the piece of paper in machine $S$ it is printed on: <image2>\nShe wants to produce the following picture: <image3>\nIn which order does Else use the two machines so that she gets this picture?\n<image4>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "707",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_707.jpg",
"question": "The square was cut out from a page in a squared exercise book. Then two figures in the picture were cut out from the square. Which ones?\n1 and 3\n2 and 4\n2 and 3\n1 and 4\nImpossible to cut out",
"answer": "C"
},
{
"id": "712",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_712.jpg",
"question": "Caroline wants to write the numbers 1, 2, 3, 4 in the square $4 \\times 4$ in such a way that every row and every column has each number. You see how she started. What number must be put in the place of $x$?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "713",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_713.jpg",
"question": "You have two identical pieces that you can turn around but not upside down. Which picture can you not make with these two pieces?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "718",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_718.jpg",
"question": "Snail quadruplets have gone hiking on a path paved with identical rectangular tiles. The shape and length of each snail's trip is shown below.\n\nHow many decimeters has the snail Tin hiked?\nA. 32\nB. 34\nC. 35\nD. 38",
"answer": "C"
},
{
"id": "725",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_725.jpg",
"question": "There are seven squares in the picture. How many more triangles than squares are there in the picture?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "C"
},
{
"id": "739",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_739.jpg",
"question": "Six cars are parked on a parking. Someone wants to move from $S$ to $F$. His route must be as short as possible. Which of the following routes is the shortest?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "745",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_745.jpg",
"question": "The carpenter's machine can perform two operations: $\\mathrm{P}$ and $\\mathrm{T}$. The operation $\\mathrm{P}$ is \"printing\" and $\\mathrm{T}$ is \"turning\" (see the figure). What is the right sequence of operations to obtain <image1> starting from <image2>?\n<image3>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "757",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_757.jpg",
"question": "Numbers 2, 3, 4 and one more unknown number are written in the cells of $2 \\times 2$ table. It is known that the sum of the numbers in the first row is equal to 9 , and the sum of the numbers in the second row is equal to 6 . The unknown number is\nA. 3\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "758",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_758.jpg",
"question": "At a pirate school, each student had to sew a black and white flag. The condition was, that the black colour had to cover exactly three fifths of the flag. How many of the following flags fulfilled this condition?\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "760",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_760.jpg",
"question": "In a shop selling toys a four-storey black and white \"brickflower\" is displayed (see picture on the left). Each storey is made of bricks of the same colour. In the picture on the right, the flower is shown from the top. How many white bricks were used to make the flower?\nA. 12\nB. 13\nC. 14\nD. 15",
"answer": "C"
},
{
"id": "761",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_761.jpg",
"question": "There are 5 boxes and each box contains some cards labeled K, M, H, P, T, as shown below. Peter wants to remove cards out of each box so that at the end each box contained only one card, and different boxes contained cards with different letters. Which card remains in the first box?\nIt is impossible to do this\nT\nM\nH\nP",
"answer": "D"
},
{
"id": "765",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_765.jpg",
"question": "Which of the \"buildings\" A-E, each consisting of 5 cubes, cannot be obtained from the building on the right, if you are allowed to move only one cube?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "768",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_768.jpg",
"question": "Betty walked around the park once, starting from the marked point in the direction of the arrow. She took 4 pictures. In which order did she take the pictures?\nA. 1234\nB. 1324\nC. 2143\nD. 2341",
"answer": "C"
},
{
"id": "770",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_770.jpg",
"question": "How many faces has the object shown? (Prism with a hole)\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "C"
},
{
"id": "772",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_772.jpg",
"question": "The different digits are build using sticks as shown. The \u00f1weight\u00f2 of a number describes the number of sticks used to build\nit. How heavy is the heaviest two digit number?\nA. 12\nB. 13\nC. 14\nD. 15",
"answer": "C"
},
{
"id": "779",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_779.jpg",
"question": "The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5 ?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "780",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_780.jpg",
"question": "Kangi goes directly from the zoo to school (Schule) and counts the flowers along the way. Which of the following numbers can he not obtain this way?\nA. 9\nB. 10\nC. 11\nD. 12",
"answer": "C"
},
{
"id": "781",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_781.jpg",
"question": "Anna has connected all the upper and lower points with straight lines. How many lines has she drawn?\nA. 28\nB. 29\nC. 30\nD. 31",
"answer": "C"
},
{
"id": "792",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_792.jpg",
"question": "In the grid, how many grey squares have to be coloured white, so that in each row and each column there is exactly one grey square?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "804",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_804.jpg",
"question": "A blackboard has a total unfolded length of $6 \\mathrm{~m}$. The middle section is $3 \\mathrm{~m}$ long. How long is the section labelled with a questionmark?\n$1 \\mathrm{~m}$\n$1.25 \\mathrm{~m}$\n$1.5 \\mathrm{~m}$\n$1.75 \\mathrm{~m}$\n$2 \\mathrm{~m}$",
"answer": "C"
},
{
"id": "807",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_807.jpg",
"question": "Which three puzzle pieces do you need to complete the large puzzle?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "811",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_811.jpg",
"question": "The numbers 1 to 7 should be written in the small circles so that the sum of the numbers along each line is the same. Which number should be written in the uppermost circle on the triangle?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "815",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_815.jpg",
"question": "A few fields of a $4 \\times 4$ grid were painted red. The numbers in the bottom row and left column give the number of fields coloured red. The red was then rubbed away. Which of the following could grids could be a solution?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "816",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_816.jpg",
"question": "What's the final answer?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "817",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_817.jpg",
"question": "Nathalie wanted to build a large cube out of lots of small cubes. How many cubes are missing from the picture on the right that would be needed to build the large cube on the left?\nA. 5\nB. 6\nC. 7\nD. 8",
"answer": "C"
},
{
"id": "825",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_825.jpg",
"question": "Which of the figures below will cover the most dots when laid on the square shown on the right.\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "C"
},
{
"id": "826",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_826.jpg",
"question": "Numbers are written in the $4 \\times 4$ grid: any two numbers in neighbouring squares should have a difference of 1 , that is squares that share an edge. The number 3 is already given. The number 9 will be used somewhere in the grid. How many different numbers will have been used once the grid is filled in completely?\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "B"
},
{
"id": "829",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_829.jpg",
"question": "Arno lays out the word KANGAROO using 8 cards. However, some cards are turned.\n<image1>\nBy turning it twice the letter $\\mathrm{K}$ can be corrected, letter $\\mathrm{A}$ can be corrected by turning it once (see drawing). How often does he have to turn so that the word KANGAROO can be read correctly?\n<image2>\nA. 5\nB. 6\nC. 7\nD. 8",
"answer": "B"
},
{
"id": "830",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_830.jpg",
"question": "A white and a grey ring are interlinked with one another. Peter sees the two rings from the front as they are seen in the diagram on the right. Paul sees the rings from the back. What does he see?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "833",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_833.jpg",
"question": "Grey and white pearls are threaded on a piece of string.\n\nMonika wants to have 5 grey pearls. However, she can only pull off pearls from the end of the string. Therefore she has to pull off some white pearls as well. What is the minimum number of white pearls she has to pull off, to get 5 grey pearls?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "835",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_835.jpg",
"question": "The kangaroos $A, B, C, D$ and $E$ sit in this order in a clockwise direction around a round table. After a bell sounds all but one kangaroo change seats with a neighbour. Afterwards they sit in the following order in a clockwise direction: A, E, B, D, C. Which kangaroo did not change places?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "838",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_838.jpg",
"question": "Daniela fills a $3 \\times 3$ table using the digits 1 to 9 so that each field contains only one digit. She has already placed the digits 1, 2, 3 and 4 in the table as shown in the diagram. Two numbers count as \"adjacent\" if the fields which they fill have one common side. When she has finished filling the table she realised: the sum of the numbers adjacent to 5 is 9 . How big is the sum of the numbers adjacent to 6?\nA. 19\nB. 25\nC. 29\nD. 31",
"answer": "C"
},
{
"id": "840",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_840.jpg",
"question": "The word KANGAROO is written on the top side of my umbrella. Which of the following pictures does not show my umbrella?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "856",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_856.jpg",
"question": "Lisa has mounted 7 postcards on her fridge door using 8 strong magnets (black dots). What is the maximum amount of magnets she can remove without any postcards falling on the floor?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "B"
},
{
"id": "876",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_876.jpg",
"question": "A big cube is made up of 9 identical building blocks. Each building block looks like this: <image1> Which big cube is possible?\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "882",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_882.jpg",
"question": "As seen in the diagram, three darts are thrown at nine fixed balloons. If a balloon is hit it will burst and the dart continues in the same direction it had beforehand. How many balloons will not be hit by a dart?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "883",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_883.jpg",
"question": "Peter places three building blocks on a table, as shown. What does he see when he is looking at them from above?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "899",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_899.jpg",
"question": "Carina has started to draw a cat. <image1> She then adds some eyes. Which picture could show her finished drawing?\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "903",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_903.jpg",
"question": "Which of the following geometrical figures does not appear in the big picture?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "906",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_906.jpg",
"question": "Pia has a folding yardstick consisting of 10 equally long pieces. Which of the following figures can she not make?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "907",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_907.jpg",
"question": "Which of the five squares has the biggest proportion of black area?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "917",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_917.jpg",
"question": "Amira is traveling from Atown to Betown and passes by two indicative signs along the road. One of them has a hidden number. What is this number?\nA. 5\nB. 6\nC. 7\nD. 8",
"answer": "C"
},
{
"id": "925",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_925.jpg",
"question": "The following figures show five paths, indicated by the thickest lines, between the $X$ and $Y$ points. Which of these paths is the longest?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "929",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_929.jpg",
"question": "Maria puts 4 liters of water in vase I, 3 liters of water in vase II and 4 liters of water in vase III, represented on the side. Seen from the front, these three vases seem to have the same size. Which of the following images can represent the three vases, when seen from above?\n<image1>\n<image2>\n(A)\n(B)\n(C)\n(D)\n(E)",
"answer": "A"
},
{
"id": "939",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_939.jpg",
"question": "In how many places in the picture are two children holding each other with their left hands?\nA. 0\nB. 1\nC. 2\nD. 3",
"answer": "B"
},
{
"id": "941",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_941.jpg",
"question": "Sofie wants to write the word KENGU by using letters from the boxes. She can only take one letter from each box. What letter must Sofie take from box 4?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "944",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_944.jpg",
"question": "The 5 figures on the grid can only move in the directions indicated by the black arrows. Which figure can leave through gate G?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "948",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_948.jpg",
"question": "Rosa wants to start at the arrow, follow the line, and get out at the other arrow. Which piece is it NOT possible to put in the middle to obtain that?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "964",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_964.jpg",
"question": "All vehicles in the garage can only drive forwards or backwards. The black car wants to leave the garage (see diagram). What is the minimum number of grey vehicles that need to move at least a little bit so that this is possible?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "970",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_970.jpg",
"question": "Some art work can be seen on a square-shaped transparent piece of foil. The foil is folded over twice as shown in the diagram. What does the foil look like after it has been folded over twice?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "973",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_973.jpg",
"question": "Anna has glued together several cubes of the same size to form a solid (see picture). Which of the following pictures shows a different view of this solid?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "980",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_980.jpg",
"question": "Nine steps of a staircase arranged in a cylindrical order starting at the bottom and leading all the way to the top can be seen. All steps are equally high. How many steps cannot be seen?\nA. 9\nB. 11\nC. 12\nD. 14",
"answer": "C"
},
{
"id": "982",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_982.jpg",
"question": "Four ribbons $\\mathrm{M}, \\mathrm{N}, \\mathrm{P}$ and $\\mathrm{Q}$ are wrapped around a box. In which order were they wrapped around the box?\nM, N, Q, P\nN, M, P, Q\nN, Q, M, P\nN, M, Q, P\n$Q, N, M, P$",
"answer": "D"
},
{
"id": "983",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_983.jpg",
"question": "Alice has four jigsaw pieces. Which two can be fitted together to form a hexagon?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "996",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_996.jpg",
"question": "Anna has two machines $R$ and $S$. If she places a square piece of paper in machine $R$ it is rotated $90^{\\circ}$ in a clockwise direction. <image1> (Hint: Note the marking in the corner!) If she places the piece of paper in machine $S$, it gets printed on. <image2> In which order does Anna use the two machines so that this picture is made? <image3>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "997",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_997.jpg",
"question": "Monika wants to find a path through the labyrinth from 'Start' to 'Ziel'. She has to stick to the following rules: She is only allowed to move horizontally and vertically respectively. She has to enter every white circle exactly once but is not allowed to enter a black circle. In which direction does Monika have to move forwards when she reaches the circle marked with $x$ ?\n$\\downarrow$\n$\\uparrow$\n$\\rightarrow$\n$\\leftarrow$\nthere are several possibilities",
"answer": "A"
},
{
"id": "1003",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1003.jpg",
"question": "A rectangular parallelepiped was composed of 3 pieces, each consisting of 4 little cubes. Then one piece was removed (see picture). Which one?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "1010",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1010.jpg",
"question": "Caroline wants to write the numbers $1,2,3,4$ in the square $4 \\times 4$ in such a way that every row and every column has each of the numbers. You see how she started. How many of the 4 numbers can be written in place of $x$?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "1015",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1015.jpg",
"question": "In the picture we have 11 fields.\n\nIn the first field there is a 7, and in the ninth field we have a 6. What positive integer has to be written in the second field for the following condition to be valid: the sum of any three adjoining fields is equal to 21?\nA. 7\nB. 8\nC. 9\nD. 10",
"answer": "B"
},
{
"id": "1065",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1065.jpg",
"question": "Andrea wraps a band around a piece of wood. She then turns the wood around as pictured. What does the wood now look like?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "1075",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1075.jpg",
"question": "Each area in the picture on the right should be coloured using one of the colours, red (R), green (G), blue (B) or orange (O). Areas which touch must be different colours. Which colour is the area marked $X$?\nred\nblue\ngreen\norange\nThe colour cannot definitely be determined.",
"answer": "A"
},
{
"id": "1086",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1086.jpg",
"question": "A cuboid consists of three building blocks. Each building block has a different colour and is made up of 4 cubes. What does the white building block look like?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "1097",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1097.jpg",
"question": "Anne plays 'sink the ship' with a friend, on a $5 \\times 5$ grid. She has already drawn in a $1 \\times 1$ ship and a $2 \\times 2$ ship (as shown in the picture). She must also draw a (rectangular) $3 \\times 1$ ship. Ships may be neither directly nor diagonally adjacent to each other. How many possible positions are there for the $3 \\times 1$ ship?\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "C"
},
{
"id": "1100",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1100.jpg",
"question": "Johann stacked $1 \\times 1$ cubes on the squares of a $4 \\times 4$ grid. The diagram on the right shows the number of cubes that were stacked on top of each other above each square. What will Johann see if he looks from the back (hinten) at the tower?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "1105",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1105.jpg",
"question": "How many quadrilaterals of any size are to be found in the diagram pictured.\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "1114",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1114.jpg",
"question": "Andy fills a $3 \\times 3$ table with all the digits from 1 to 9 so that each cell only contains one digit. He has already put the digits 1, 2, 3 and 4 in the table as shown in the diagram. Two numbers are 'neighbouring' when the cells they are in share one side. After he had finished filling in the table he noticed: The sum of the numbers neighbouring 9 equals 15. How big is the sum of the numbers neighbouring 8?\nA. 15\nB. 24\nC. 27\nD. 30",
"answer": "C"
},
{
"id": "1126",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1126.jpg",
"question": "Each side of each triangle in the diagram is painted either blue, green or red. Four of the sides are already painted. Which colour can the line marked \"x\" have, if each triangle must have all sides in different colours?\nonly green\nonly red\nonly blue\neither red or blue\nThe question cannot be solved.",
"answer": "A"
},
{
"id": "1153",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1153.jpg",
"question": "Emily wants to insert nine numbers into the $3 \\times 3$ table so that the sum of the numbers in two adjacent cells (with a common side) is always the same. She has already written two numbers into the table. How big is the sum of all nine numbers?\nA. 18\nB. 22\nC. 24\nD. 28",
"answer": "B"
},
{
"id": "1155",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1155.jpg",
"question": "The diagram shows Maria's square tablecloth to scale. All small light squares are equally big and their diagonals are parallel to the sides of the table cloth. Which part of the whole table cloth is black?\n$16 \\%$\n$24 \\%$\n$25 \\%$\n$32 \\%$\n$36 \\%$",
"answer": "D"
},
{
"id": "1160",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1160.jpg",
"question": "The fence on the right has many holes. One morning the fence falls over and lies on the floor. Which of the following pictures shows the fallen down fence?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "1171",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1171.jpg",
"question": "Rita wants to write a number into every square of the diagram shown. Every number should be equal to the sum of the two numbers from the adjacent squares. Squares are adjacent if they share one edge. Two numbers are already given. Which number is she going to write into the square marked with $x$?\nA. 5\nB. 6\nC. 7\nD. 8",
"answer": "C"
},
{
"id": "1179",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1179.jpg",
"question": "Three rings are connected to each other as shown. Which of the following pictures also shows three rings connected in the same way?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "1187",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1187.jpg",
"question": "Anna has placed matches along the dotted lines to create a path. She has placed the first match as shown in the diagram. The path is in such a way that in the end it leads back to the left end of the first match. The numbers in the small squares state how many sides of the square she has placed matches on. What is the minimum number of matches she has used?\nA. 14\nB. 15\nC. 16\nD. 17",
"answer": "C"
},
{
"id": "1195",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1195.jpg",
"question": "Juca wrote a whole number greater than zero in each of the boxes on the $3 \\times 3$ board on the right, so that the sums of the numbers in each row and in each column are equal. The only thing Juca remembers is that there are no three numbers repeated. What number is written in the box of the center?\nA. 1\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "1197",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1197.jpg",
"question": "As soon as he left his city towards Caec\u00e1, Charles saw the sign on the left. When he came back from Caec\u00e1, he saw the sign on the right. At that point, how far was it to get to his city?\n$12 \\mathrm{~km}$\n$21 \\mathrm{~km}$\n$29 \\mathrm{~km}$\n$41 \\mathrm{~km}$\n$52 \\mathrm{~km}$",
"answer": "D"
},
{
"id": "1220",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1220.jpg",
"question": "In a tournament each of the 6 teams plays one match against every other team. In each round of matches, 3 take place simultaneously. A TV station has already decided which match it will broadcast for each round, as shown in the diagram. In which round will team D play against team F?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "A"
},
{
"id": "1229",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1229.jpg",
"question": "There are 5 trees and 3 paths in a park as shown on the map. Another tree is planted so that there is an equal number of trees on both sides of each path. In\nwhich section of the park will the new tree be planted?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "1238",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1238.jpg",
"question": "What is the minimum number of cells of a $5 \\times 5$ grid that have to be coloured in so that every possible $1 \\times 4$ rectangle and every $4 \\times 1$ rectangle respectively in the grid has at least one cell coloured in?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "1242",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1242.jpg",
"question": "Kristina has a piece of see-through foil on which some points and lines are drawn. She folds the foil along the dotted line. What can she see now?\n$2\\vdots6\\vdots9$\n$2\\vdots6\\vdots6$\n$5\\vdots6\\vdots6$\n$2\\vdots8\\vdots6$\n$5\\vdots8\\vdots9$",
"answer": "C"
},
{
"id": "1247",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1247.jpg",
"question": "Evita wants to write the numbers from 1 to 8 with one number in each field. The sum of the numbers in each row should be equal. The sum of the numbers in the four columns should also be the same. She has already written in the numbers 3, 4 and 8 (see diagram). Which number does she have to write in the dark field?\nA. 6\nB. 7\nC. 8\nD. 9",
"answer": "B"
},
{
"id": "1302",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1302.jpg",
"question": "The cells of the table are being coloured red (R) and green (G). In each row and in each column there must be two red and two green cells. What will the lowest row look like after colouring the table?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "1329",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1329.jpg",
"question": "Robert wants to place stones on a $4 \\times 4$ gameboard so that the number of stones in each row and column is different; i.e. there are 8 different amounts. To achieve this he can place one or several stones in any one field or even leave single fields empty. What is the minimum number of stones needed to do this?\nA. 12\nB. 13\nC. 14\nD. 15",
"answer": "C"
},
{
"id": "1344",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1344.jpg",
"question": "In the picture on the right a number should be written next to each point. The sum of the numbers on the corners of each side of the hexagon should be equal. Two numbers have already been written. Which number should be in the place marked ' $x$ '?\nA. 0\nB. 1\nC. 2\nD. 3",
"answer": "B"
},
{
"id": "1347",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1347.jpg",
"question": "In the picture on the left we see three dice on top of each other. The sum of the points on opposite sides of the dice is 7 as usual. The sum of the points of areas that face each other is always 5. How many points are on the area marked $\\mathrm{X}$?\nA. 4\nB. 5\nC. 6\nD. 8",
"answer": "C"
},
{
"id": "1349",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1349.jpg",
"question": "The cells of the $4 \\times 4$-table on the right should be coloured either in black or white. The numbers determine how many cells in each row/column should be black. How many ways are there to do the colouring in?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "B"
},
{
"id": "1350",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1350.jpg",
"question": "Nick wants to write whole numbers into the cells of the $3 \\times 3$-table on the right so that the sum of the digits in each in each $2 \\times 2$-sub-table is always 10. Five numbers have already been written. Determine the sum of the remaining four numbers.\nA. 10\nB. 11\nC. 12\nD. 13",
"answer": "C"
},
{
"id": "1353",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1353.jpg",
"question": "Three big boxes $P, Q$ and $R$ are stored in a warehouse. The upper picture on the right shows their placements from above. The boxes are so heavy that they can only be rotated $90^{\\circ}$ around a vertical edge as indicated in the pictures below. Now the boxes should be rotated to stand against the wall in a certain order. Which arrangement is possible?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "1357",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1357.jpg",
"question": "A cuboid is formed from 3 pieces (see picture). Each piece is made from 4 cubes of the same colour. What shape does the white piece have?\n<image1>\n<image2>\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "1361",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1361.jpg",
"question": "A number from 1 to 9 is to written into each of the 12 fields of the table so that the sum of each column is the same. Also the sum of each row must be the same. A few numbers have already been written in. Which number should be written in the grey square?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "B"
},
{
"id": "1382",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1382.jpg",
"question": "If you add the numbers on opposite faces of this special die, you will get the same total three times. The numbers on the hidden faces of the die are prime numbers. Which number is on the face opposite to 14?\nA. 11\nB. 17\nC. 23\nD. 29",
"answer": "C"
},
{
"id": "1389",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1389.jpg",
"question": "In the diagram one can see my decision-die in three different positions. What is the probability I get a \"YES\", when rolling this die once.\n$\\frac{1}{3}$\n$\\frac{1}{2}$\n$\\frac{5}{9}$\n$\\frac{2}{3}$\n$\\frac{5}{6}$",
"answer": "B"
},
{
"id": "1393",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1393.jpg",
"question": "In the diagram we can see seven sections which are bordered by three circles. One number is written into each section. It is known that each number is equal to the sum of all the numbers in the adjacent zones. (Two zones are called adjacent if they have more than one corner point in common.) Which number is written into the inner area?\nA. -2\nB. 0\nC. 1\nD. 4",
"answer": "B"
},
{
"id": "1409",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1409.jpg",
"question": "Jenny wants to write numbers into the cells of a $3 \\times 3$-table so that the sum of the numbers in each of the four $2 \\times 2$-squares are equally big. As it is shown in the diagram, she has already inserted three numbers. What number does she have to write into the cell in the fourth corner?\nA. -2\nB. 0\nC. 2\nD. 4",
"answer": "B"
},
{
"id": "1422",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1422.jpg",
"question": "Diana draws a rectangle made up of twelve squares onto a piece of squared paper. Some of the squares are coloured in black. She writes the number of adjacent black squares into every white square. The diagram shows an example of such a rectangle. Now she does the same with a rectangle made up of 2018 squares. What is the biggest number that she can obtain as the sum of all numbers in the white squares?\nA. 2800\nB. 2950\nC. 3025\nD. 3100",
"answer": "C"
},
{
"id": "1428",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1428.jpg",
"question": "Inside a unit square a certain area has been coloured in black. In which square is the black area biggest?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "1441",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1441.jpg",
"question": "The shortest way from Atown to Cetown is through Betown. Going back by this road from Cetown to Atown, we first find the signposts on the left side of the road. Further on we find the road signs on the right side of the road. How far is it from Betown to Atown?\n$1 \\mathrm{~km}$\n$2 \\mathrm{~km}$\n$3 \\mathrm{~km}$\n$4 \\mathrm{~km}$\n$5 \\mathrm{~km}$",
"answer": "D"
},
{
"id": "1442",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1442.jpg",
"question": "Toninho wants to write strictly positive and consecutive whole numbers, in the nine places of the figure, so that the sum of the three numbers in each diameter is equal to 24. What is the largest possible sum for all the nine numbers?\nA. 76\nB. 79\nC. 81\nD. 83",
"answer": "C"
},
{
"id": "1457",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1457.jpg",
"question": "The numbers from 1 to 6 are placed in the circles at the intersections of 3 rings. The position of number 6 is shown. The sums of the numbers on each ring are the same. What number is placed in the circle with the question mark?\nA. 0\nB. 1\nC. 2\nD. 3",
"answer": "B"
},
{
"id": "1460",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1460.jpg",
"question": "A $3 \\times 3$ square initially has the number 0 in each of its cells. In one step all four numbers in one $2 \\times 2$ sub-square such as the shaded one, for example, are then increased by 1. This operation is repeated several times to obtain the arrangement on the right. Unfortunately, some numbers in this arrangement are hidden. What number is in the square with the question mark?\nA. 13\nB. 15\nC. 16\nD. 18",
"answer": "C"
},
{
"id": "1464",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1464.jpg",
"question": "In the $4 \\times 4$ table some cells must be painted black. The numbers next to and below the table show how many cells in that row or column must be black. In how many ways can this table be painted?\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "1475",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1475.jpg",
"question": "There are three paths running through our park in the city (see diagram). A tree is situated in the centre of the park. What is the minimum number of trees that have to be planted additionally so that there are the same number of trees on either side of each path?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "1496",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1496.jpg",
"question": "Seven pairwise different single-digit numbers are distributed among the circles shown so that the product of the three numbers that are connected by a straight line is the same in all three cases. Which number is written in the circle with the question mark?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "1514",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1514.jpg",
"question": "Roo has 16 cards: 4 spades ( $(\\boldsymbol{*}), 4$ clubs ( $*$ ), 4 diamonds ( $\\bullet$ ) and 4 hearts $(\\boldsymbol{v})$. He wants to place them in the square shown, so that every row and every column has exactly one card of each suit. The diagram shows how Roo started. How many of the 4 cards can be put in place of the question mark?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "B"
},
{
"id": "1564",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1564.jpg",
"question": "In each of the squares in the grid, one of the letters $P, Q, R$ and $S$ must be entered in such a way that adjacent squares (whether connected by an edge or just a corner) do not contain the same letter. Some of the letters have already been entered as shown.\nWhat are the possibilities for the letter in the shaded square?\nonly $Q$\nonly $R$\nonly $S$\neither $R$ or $S$, but no others\nit is impossible to complete the grid",
"answer": "D"
},
{
"id": "1582",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1582.jpg",
"question": "Each region in the figure is to be coloured with one of four colours: red $(\\mathrm{R})$, green $(\\mathrm{G})$, orange $(\\mathrm{O})$ or yellow $(\\mathrm{Y})$. The colours of only three regions are shown. Any two regions that touch must have different colours. The colour of the region $\\mathrm{X}$ is:\nred\norange\ngreen\nyellow\nimpossible to determine",
"answer": "A"
},
{
"id": "1597",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1597.jpg",
"question": "Each cell of the $3 \\times 3$ grid shown has placed in it a positive number so that: in each row and each column, the product of the three numbers is equal to 1 ; and in each $2 \\times 2$ square, the product of the four numbers is equal to 2 . What number should be placed in the central cell?\nA. 4\nB. 8\nC. 16\nD. 24",
"answer": "C"
},
{
"id": "1603",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1603.jpg",
"question": "John has made a building of unit cubes standing on a $4 \\times 4$ grid. The diagram shows the number of cubes standing on each cell. When John looks horizontally at the building from behind, what does he see? <image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "1615",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1615.jpg",
"question": "Janet enters all the digits from 1 to 9 in the cells of a $3 \\times 3$ table, so that each cell contains one digit. She has already entered 1,2,3 and 4, as shown. Two numbers are considered to be 'neighbours' if their cells share an edge. After entering all the numbers, she notices that the sum of the neighbours of 9 is 15 . What is the sum of the neighbours of 8 ?\nA. 24\nB. 25\nC. 27\nD. 28",
"answer": "C"
},
{
"id": "1623",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1623.jpg",
"question": "Luis wants to make a pattern by colouring the sides of the triangles shown in the diagram. He wants each triangle to have one red side, one green side and one blue side. Luis has already coloured some of the sides as shown. What colour can he use for the side marked $x$ ?\nonly green\nonly blue\nonly red\neither blue or red\nThe task is impossible",
"answer": "A"
},
{
"id": "1624",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1624.jpg",
"question": "Ria wants to write a number in each of the seven bounded regions in the diagram. Two regions are neighbours if they share part of their boundary. The number in each region is to be the sum of the numbers in all of its neighbours. Ria has already written in two of the numbers, as shown.\nWhat number must she write in the central region?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "1644",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1644.jpg",
"question": "Ella wants to write a number into each cell of a $3 \\times 3$ grid so that the sum of the numbers in any two cells that share an edge is the same. She has already written two numbers, as shown in the diagram.\nWhen Ella has completed the grid, what will be the sum of all the\n\nnumbers in the grid?\nA. 18\nB. 22\nC. 26\nD. 30",
"answer": "B"
},
{
"id": "1656",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1656.jpg",
"question": "James wrote a different integer from 1 to 9 in each cell of a table. He then calculated the sum of the integers in each of the rows and in each of the columns of the table. Five of his answers were 12, 13, 15, 16 and 17, in some order. What was his sixth answer?\nA. 14\nB. 16\nC. 17\nD. 18",
"answer": "C"
},
{
"id": "1668",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1668.jpg",
"question": "Cathie folded a square sheet of paper in half twice and then cut it through the middle twice, as shown in the diagram, before unfolding it all. How many of the pieces that she obtained were squares?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "B"
},
{
"id": "1677",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1677.jpg",
"question": "The shortest path from Atown to Cetown runs through Betown. The two signposts shown are set up at different places along this path. What distance is written on the broken sign?\n$1 \\mathrm{~km}$\n$3 \\mathrm{~km}$\n$4 \\mathrm{~km}$\n$5 \\mathrm{~km}$\n$9 \\mathrm{~km}$",
"answer": "A"
},
{
"id": "1684",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1684.jpg",
"question": "The statements on the right give clues to the identity of a four-digit number.\n\nWhat is the last digit of the four-digit number?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "C"
},
{
"id": "1691",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1691.jpg",
"question": "A triangular pyramid is built with 20 cannonballs, as shown. Each cannonball is labelled with one of A, B, C, D or E. There are four cannonballs with each type of label.\n\nThe diagrams show the labels on the cannonballs on three of the faces of the pyramid. What is the label on the hidden cannonball in the middle of the fourth face?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "1696",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1696.jpg",
"question": "There are five big trees and three paths in a park. It has been decided to plant a sixth tree so that there are the same number of trees on either side of each path. In which region of the park should the sixth tree be planted?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "1708",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1708.jpg",
"question": "Kristina has a piece of transparent paper with some lines marked on it. She folds it along the central dashed line, as indicated. What can she now see?\n$2: 6: 9$\n$2: 6: 6$\n$5: 6: 9$\n$2: 8: 6$\n$5: 8: 9$",
"answer": "C"
},
{
"id": "1715",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1715.jpg",
"question": "Some mice live in three neighbouring houses. Last night, every mouse left its house and moved to one of the other two houses, always taking the shortest route. The numbers in the diagram show the number of mice per house, yesterday and today. How many mice used the path at the bottom of the diagram?\nA. 9\nB. 10\nC. 11\nD. 12",
"answer": "C"
},
{
"id": "1747",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1747.jpg",
"question": "Rory uses four identical standard dice to build the solid shown in the diagram.\nWhenever two dice touch, the numbers on the touching faces are the same. The numbers on some of the faces of the solid are shown. What number is written on the face marked with question mark?\n(On a standard die, the numbers on opposite faces add to 7.)\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "1754",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1754.jpg",
"question": "The diagram below shows five rectangles, each containing some of the letters $\\mathrm{P}, \\mathrm{R}, \\mathrm{I}, \\mathrm{S}$ and $\\mathrm{M}$.\n\nHarry wants to cross out letters so that each rectangle contains only one letter and each rectangle contains a different letter. Which letter does he not cross out in rectangle 2?\nA\nB\nC\nD",
"answer": "B"
},
{
"id": "1755",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1755.jpg",
"question": "The two diagrams show a side view and a plan view of a tower made with light and dark coloured blocks. In the tower, only dark coloured blocks are placed on top of dark coloured blocks and only light coloured blocks are placed on top of light\n\ncoloured blocks. How many blocks in the tower are light coloured?\nA. 16\nB. 18\nC. 20\nD. 22",
"answer": "C"
},
{
"id": "1764",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1764.jpg",
"question": "Two of the following four facts about a positive integer $N$ are true and two are false. \nWhat is the value of $N$ ?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "B"
},
{
"id": "1780",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1780.jpg",
"question": "Claudette has eight dice, each with one of the letters $P, Q, R$ and $S$ written on all six faces. She builds the block shown in the diagram so that dice with faces which touch have different letters written on them.\nWhat letter is written on the faces of the one dice which is not shown on the picture?\nP\nQ\nR\nS\nIt is impossible to say",
"answer": "B"
},
{
"id": "1787",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1787.jpg",
"question": "Patricia painted some of the cells of a $4 \\times 4$ grid. Carl counted how many red cells there were in each row and in each column and created a table to show his answers.\nWhich of the following tables could Carl have created?\nA\nB\nC\nD",
"answer": "D"
},
{
"id": "1817",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1817.jpg",
"question": "In the grid on the right, there are eight kangaroos. A kangaroo may jump into any empty square. Find the least number of the kangaroos which have to jump into an empty square so that in each row and column there are exactly two kangaroos.\nA. 0\nB. 1\nC. 2\nD. 3",
"answer": "B"
},
{
"id": "1819",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1819.jpg",
"question": "In the diagram there are 7 squares. What is the difference between the number of triangles and the number of squares in the diagram?\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "C"
},
{
"id": "1834",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1834.jpg",
"question": "To complete the table, each cell must contain either 0 or 1 , and the total of each row and column must be 2 . What are the values of the entries $X$ and $Y$ ?\n$X=0, Y=0$\n$X=0, Y=1$\n$X=1, Y=0$\n$X=1, Y=1$\nIt is impossible to complete.",
"answer": "A"
},
{
"id": "1879",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_1879.jpg",
"question": "A cuboid is made of four pieces as shown. Each piece consists of four cubes and is a single colour. What is the shape of the white piece? <image1>\n<image2>\nA\nB\nC\nD",
"answer": "C"
},
{
"id": "1907",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1907.jpg",
"question": "The picture shows the same die in three different positions. When the die is rolled, what is the probability of rolling a 'YES'?\n$\\frac{1}{3}$\n$\\frac{1}{2}$\n$\\frac{5}{9}$\n$\\frac{2}{3}$\n$\\frac{5}{6}$",
"answer": "B"
},
{
"id": "1939",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_1939.jpg",
"question": "Inside each unit square a certain part has been shaded. In which square is the total shaded area the largest?\nA\nB\nC\nD",
"answer": "A"
},
{
"id": "1967",
"category": "spatial",
"image_path": "MathVision_ConvertedMCQ_images/math_1967.jpg",
"question": "Some shapes are drawn on a piece of paper. The teacher folds the left-hand side of the paper over the central bold line. How many of the shapes on the left-hand side will fit exactly on top of a shape on the right-hand side?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "B"
},
{
"id": "2011",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2011.jpg",
"question": "At each of the vertices of a cube sits a Bunchkin. Two Bunchkins are said to be adjacent if and only if they sit at either end of one of the cube's edges. Each Bunchkin is either a 'truther', who always tells the truth, or a 'liar', who always lies. All eight Bunchkins say 'I am adjacent to exactly two liars'. What is the maximum number of Bunchkins who are telling the truth?\nA. 2\nB. 3\nC. 4\nD. 5",
"answer": "C"
},
{
"id": "2013",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2013.jpg",
"question": "Each square in this cross-number can be filled with a non-zero digit such that all of the conditions in the clues are fulfilled. The digits used are not necessarily distinct.\n\nACROSS\n1. A square\n3. The answer to this Kangaroo question\n5. A square\nDOWN\n1. 4 down minus eleven\n2. One less than a cube\n4. The highest common factor of 1 down and 4 down is greater than one\nA. 728\nB. 821\nC. 829\nD. 931",
"answer": "C"
},
{
"id": "2020",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2020.jpg",
"question": "Each square in this cross-number can be filled with a non-zero digit such that all of the conditions in the clues are fulfilled. The digits used are not necessarily distinct. What is the answer to 3 ACROSS?\n\n\\section*{ACROSS}\n1. A composite factor of 1001\n3. Not a palindrome\n5. $p q^{3}$ where $p, q$ prime and $p \\neq q$\n\\section*{DOWN}\n1. One more than a prime, one less than a prime\n2. A multiple of 9\n4. $p^{3} q$ using the same $p, q$ as 5 ACROSS\nA. 194\nB. 269\nC. 295\nD. 314",
"answer": "C"
},
{
"id": "2024",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2024.jpg",
"question": "Each square in this cross-number can be filled with a non-zero digit such that all of the conditions in the clues are fulfilled. The digits used are not necessarily distinct.\nWhat is the answer to 3 ACROSS?\n\n\\section*{ACROSS}\n1. A multiple of 7\n3. The answer to this Question\n5. More than 10\n\\section*{DOWN}\n1. A multiple of a square of an odd prime; neither a square nor a cube\n2. The internal angle of a regular polygon; the exterior angle is between $10^{\\circ}$ and $20^{\\circ}$\n4. A proper factor of $5 \\mathrm{ACROSS}$ but not a proper factor of $1 \\mathrm{DOWN}$\nA. 859\nB. 961\nC. 987\nD. 1023",
"answer": "B"
},
{
"id": "2031",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2031.jpg",
"question": "Five cards have the numbers $101,102,103,104$ and 105 on their fronts. \nOn the reverse, each card has a statement printed as follows:\n101: The statement on card 102 is false\n102: Exactly two of these cards have true statements\n103: Four of these cards have false statements\n104: The statement on card 101 is false\n105: The statements on cards 102 and 104 are both false\nWhat is the total of the numbers shown on the front of the cards with TRUE statements?\nA. 206\nB. 102\nC. 104\nD. 105",
"answer": "A"
},
{
"id": "2034",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2034.jpg",
"question": "Each cell in this cross-number can be filled with a non-zero digit so that all of the conditions in the clues are satisfied. The digits used are not necessarily distinct.\n\n\\section*{ACROSS}\n1. Four less than a factor of 105.\n3. One more than a palindrome.\n5. The square-root of the answer to this Kangaroo question.\n\\section*{DOWN}\n1. Two less than a square.\n2. Four hundred less than a cube.\n4. Six less than the sum of the answers to two of the other clues.\nWhat is the square of the answer to 5 ACROSS?\nA. 729\nB. 784\nC. 841\nD. 900",
"answer": "C"
},
{
"id": "2320",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2320.jpg",
"question": "The following four statements, and only these are found on a card:\n\n(Assume each statement is either true or false.) Among them the number of false statements is exactly\nA. 1\nB. 2\nC. 3\nD. 4",
"answer": "C"
},
{
"id": "2417",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2417.jpg",
"question": "Consider the figure consisting of a square, its diagonals, and the segments joining the midpoints of opposite sides. The total number of triangles of any size in the figure is\nA. 12\nB. 14\nC. 16\nD. 18",
"answer": "C"
},
{
"id": "2509",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2509.jpg",
"question": "Five cards are lying on a table as shown. Each card has a letter on one side and a whole number on the other side. Jane said, \"If a vowel is on one side of any card, then an even number is on the other side.\" Mary showed Jane was wrong by turning over one card. Which card did Mary turn over?\n$3$\n$4$\n$6$\n$\\text{P}$\n$\\text{Q}$",
"answer": "A"
},
{
"id": "2510",
"category": "algorithmic",
"image_path": "MathVision_ConvertedMCQ_images/math_2510.jpg",
"question": "Using only the paths and the directions shown, how many different routes are there from $ M$ to $ N$?\nA. 4\nB. 5\nC. 6\nD. 7",
"answer": "C"
},
{
"id": "2597",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2597.jpg",
"question": "How many triangles are in this figure? (Some triangles may overlap other triangles.)\nA. 3\nB. 4\nC. 5\nD. 6",
"answer": "C"
},
{
"id": "2680",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2680.jpg",
"question": "Tiles I, II, III and IV are translated so one tile coincides with each of the rectangles $A, B, C$ and $D$. In the final arrangement, the two numbers on any side common to two adjacent tiles must be the same. Which of the tiles is translated to Rectangle $C$?\n$I$\n$II$\n$III$\n$IV$\n$\\text{ cannot be determined}$",
"answer": "D"
},
{
"id": "2715",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2715.jpg",
"question": "How many rectangles are in this figure?\nA. 9\nB. 10\nC. 11\nD. 12",
"answer": "C"
},
{
"id": "2852",
"category": "deductive",
"image_path": "MathVision_ConvertedMCQ_images/math_2852.jpg",
"question": "Charlotte is playing the hit new web number game, Primle. In this game, the objective is to guess a two-digit positive prime integer between $10$ and $99$, called the Primle. For each guess, a digit is highlighted blue if it is in the Primle, but not in the correct place. A digit is highlighted orange if it is in the Primle and is in the correct place. Finally, a digit is left unhighlighted if it is not in the Primle. If Charlotte guesses $13$ and $47$ and is left with the following game board, what is the Primle?\\n\nA. 73\nB. 79\nC. 83\nD. 89",
"answer": "B"
}
]