[ { "id": "1", "question": "The total number of triangles of any size in the figure is ", "options": [8, 10, 12, 14], "answer": "C", "category": ["deductive"] }, { "id": "2", "question": "As shown in the diagram, 15 playing cards are arranged in a circle, with two of them already flipped over. Among these 15 cards, the sum of the numbers on every 3 adjacent cards is 21. Can you figure out the value of the card marked with a red question mark? ", "options": [8, 4, 5, 9], "answer": "B", "category": ["deductive"] }, { "id": "3", "question": "Roberta threw five darts. Each dart landed in a specific section of the dartboard, and each section corresponds to a score as shown in the diagram. At the bottom of the diagram, several possible total scores are listed. How many of these scores are impossible to achieve?", "options": [1, 2, 3, 4], "answer": "C", "category": ["deductive"] }, { "id": "4", "question": "The 4 x 4 grid shown below can be perfectly filled with three shapes made up of 1 x 1 squares, without any overlap. If shapes (1) and (2) are two of the three shapes, which shape is the third one?", "options": null, "answer": "A", "category": ["deductive"] }, { "id": "5", "question": "The rectangle ABCD can be divided into 12 small squares. How many small squares is the area of trapezoid EFBA equivalent to?", "options": [6, 7, 8, 9], "answer": "D", "category": ["deductive"] }, { "id": "6", "question":"A measuring tape is wrapped around a cylindrical object. What number should be at the location marked by the question mark?", "options": [53, 69, 77, 81], "answer": "B", "category": ["deductive"] }, { "id": "7", "question":"How many triangles are needed to balance one circle and one square?", "options": [8, 7, 6, 5], "answer": "D", "category": ["deductive"] }, { "id": "8", "question":"Martin placed 3 types of blocks (hexagons, squares, and triangles) on the balance scale, resulting in the two outcomes shown above. What blocks does he need to add to the left side of the balance in the third setup to keep the scale balanced?", "options": null, "answer": "A", "category": ["deductive"] }, { "id": "9", "question":"Which of the following shapes did Mara not use to construct the square?", "options": null, "answer": "D", "category": ["deductive"] }, { "id": "10", "question":"The cinema only sells two sizes of popcorn: a small cup for $4 and a large cup for $7. Which of the following is the largest amount that cannot be achieved with any combination of these two prices?", "options": null, "answer": "A", "category": ["deductive"] }, { "id": "11", "question":"Five consecutive numbers are written on five cards. If the sum of the smallest three numbers is 60, what is the sum of the largest three numbers?", "options": null, "answer": "C", "category": ["deductive"] }, { "id": "12", "question":"Linda used 8 pins to secure 3 photos side by side on a pinboard, as shown in the diagram. Peter wants to secure 7 photos using the same method. How many pins does he need?", "options": [14, 16, 18, 22], "answer": "B", "category": ["deductive"] }, { "id": "13", "question":"In the diagram, both gears have a black tooth. After the smaller gear completes one full rotation, where will the two black teeth be positioned?", "options": null, "answer": "C", "category": ["deductive"] }, { "id":"14", "question":"In this square, 9 even numbers (2, 4, 6, ..., 18) are placed such that the sum of the numbers in each row, column, and diagonal is the same. What is the sum of the two numbers in the shaded square?", "options": [20, 19, 18, 21], "answer": "C", "category": ["deductive"] }, { "id":"15", "question":"Amelia used 10 pentagon-shaped pieces to create a crown. The pieces are connected so that the touching sides have matching numbers, as shown in the diagram, with the numbers on four pieces visible. What number should appear in the red triangle?", "options": [1, 2, 3, 4], "answer": "A", "category": ["deductive"] }, { "id":"16", "question":"There are 53 residents living in the apartment. How many people live on the second floor?", "options": [5, 8, 10, 13], "answer": "A", "category": ["deductive"] }, { "id":"17", "question":"The diagram shows 3 hexagons, each with numbers at their vertices, though some numbers are missing. The sum of the 6 numbers surrounding each hexagon is 30. What number should be in the circle marked with a question mark?", "options": [3, 4, 5, 6], "answer": "C", "category": ["deductive"] }, { "id":"18", "question":"Conrad has several identical cardboard pieces (as shown in the diagram). Which of the options shows a pattern he cannot form?", "options": null, "answer": "D", "category": ["deductive"] }, { "id":"19", "question":"Five keys correspond to five padlocks. Each letter on the padlock represents a number, with the same letters indicating the same number. What numbers should be on the key marked with a question mark?", "options": [382, 284, 282, 824], "answer": "B", "category": ["deductive"] }, { "id":"20", "question":"There are 18 cubes colored white, blue, or green, arranged as shown in the diagram. The diagram displays the white and blue sections. Which option represents the green section?", "options": null, "answer": "B", "category": ["deductive"] }, { "id":"21", "question":"Each square contains a number from 1 to 6, with no repetitions. Except for the top row, the number in each square is the difference between the numbers in the two squares directly above it. What is the number in the square marked A?", "options": [6, 4, 3, 2], "answer": "D", "category": ["deductive"] } ]