[ { "id": "6", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "D" }, { "id": "39", "category": "deductive", "image_path": "MathVision_images/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?\nA. red\nB. blue\nC. green\nD. Yellow", "answer": "A" }, { "id": "71", "category": "deductive", "image_path": "MathVision_images/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. GDA\nB. ADG\nC. GAD\nD. GAG", "answer": "D" }, { "id": "117", "category": "deductive", "image_path": "MathVision_images/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?\nA. Person A\nB. Person B\nC. Person C\nD. Person D", "answer": "C" }, { "id": "131", "category": "deductive", "image_path": "MathVision_images/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\n\nA. A\nB. B\nC. C\nD. D", "answer": "B" }, { "id": "140", "category": "deductive", "image_path": "MathVision_images/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?\nA. square $A$\nB. square $B$\nC. square $C$\nD. square $D$", "answer": "D" }, { "id": "162", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "C" }, { "id": "223", "category": "deductive", "image_path": "MathVision_images/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. 16\nB. 51\nC. 54\nD. 55", "answer": "D" }, { "id": "235", "category": "deductive", "image_path": "MathVision_images/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. Amy\nB. Ben\nC. Carol\nD. David", "answer": "C" }, { "id": "341", "category": "deductive", "image_path": "MathVision_images/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. 49\nB. 70\nC. 75\nD. 105", "answer": "B" }, { "id": "409", "category": "deductive", "image_path": "MathVision_images/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. 4:45\nB. 5:05\nC. 5:25\nD. 5:40", "answer": "B" }, { "id": "477", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "B" }, { "id": "500", "category": "deductive", "image_path": "MathVision_images/500.jpg", "question": "Anna has .\nBarbara gave Eva .\nJosef has a .\nBob has .\nWho is Barbara?\n\nA. A\nB. B\nC. C\nD. D", "answer": "D" }, { "id": "521", "category": "deductive", "image_path": "MathVision_images/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. ... only be 3.\nB. ... be 3 or 4.\nC. ... be 4 or 5.\nD. ... only be 5.", "answer": "C" }, { "id": "561", "category": "deductive", "image_path": "MathVision_images/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. Azra\nB. Bernhard\nC. Christa\nD. David", "answer": "B" }, { "id": "587", "category": "deductive", "image_path": "MathVision_images/587.jpg", "question": "Albert places these 5 figures , , , , 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\nA. A\nB. B\nC. C\nD. D", "answer": "A" }, { "id": "600", "category": "deductive", "image_path": "MathVision_images/600.jpg", "question": "Each of the four balls weighs either 10 or 20 or 30 or 40 grams. Which ball weighs 30 grams?\nA. A\nB. B\nC. C\nD. D", "answer": "C" }, { "id": "661", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "C" }, { "id": "671", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "A" }, { "id": "761", "category": "deductive", "image_path": "MathVision_images/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?\nA. It is impossible to do this\nB. T\nC. M\nD. H", "answer": "D" }, { "id": "815", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "D" }, { "id": "941", "category": "deductive", "image_path": "MathVision_images/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. K\nB. E\nC. N\nD. G", "answer": "D" }, { "id": "1075", "category": "deductive", "image_path": "MathVision_images/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 $X$?\nA. red\nB. blue\nC. green\nD. orange", "answer": "A" }, { "id": "1126", "category": "deductive", "image_path": "MathVision_images/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?\nA. only green\nB. only red\nC. only blue\nD. either red or blue", "answer": "A" }, { "id": "1197", "category": "deductive", "image_path": "MathVision_images/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?\nA. $12 \\mathrm{~km}$\nB. $21 \\mathrm{~km}$\nC. $29 \\mathrm{~km}$\nD. $41 \\mathrm{~km}$", "answer": "D" }, { "id": "1229", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "B" }, { "id": "1302", "category": "deductive", "image_path": "MathVision_images/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. GRGR\nB. RGRG\nC. GRRG\nD. RGGR", "answer": "A" }, { "id": "1564", "category": "deductive", "image_path": "MathVision_images/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?\nA. only $Q$\nB. only $R$\nC. only $S$\nD. either $R$ or $S$, but no others", "answer": "D" }, { "id": "1582", "category": "deductive", "image_path": "MathVision_images/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:\nA. red\nB. orange\nC. green\nD. yellow", "answer": "A" }, { "id": "1623", "category": "deductive", "image_path": "MathVision_images/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 $x$ ?\nA. only green\nB. only blue\nC. only red\nD. either blue or red", "answer": "A" }, { "id": "1696", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "B" }, { "id": "1754", "category": "deductive", "image_path": "MathVision_images/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. P\nB. R\nC. I\nD. S", "answer": "B" }, { "id": "1780", "category": "deductive", "image_path": "MathVision_images/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?\nA. P\nB. Q\nC. R\nD. S", "answer": "B" }, { "id": "1787", "category": "deductive", "image_path": "MathVision_images/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. A\nB. B\nC. C\nD. D", "answer": "D" }, { "id": "1834", "category": "deductive", "image_path": "MathVision_images/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 $Y$ ?\nA. $X=0, Y=0$\nB. $X=0, Y=1$\nC. $X=1, Y=0$\nD. $X=1, Y=1$", "answer": "A" }, { "id": "2509", "category": "deductive", "image_path": "MathVision_images/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?\nA. $3$\nB. $4$\nC. $6$\nD. $\\text{P}$", "answer": "A" } ]