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873 | [{"role": "user", "question": "A furniture shop sells 3-seater, 2-seater and 1-seater sofas that each have an equally wide armrest on the left and the right hand side. Each seat is equally wide (see picture). Together with the armrests the 3-seater sofa is $220 \\mathrm{~cm}$ and the 2-seater sofa $160 \\mathrm{~cm}$ w... | D | mcq | 5 | solid geometry | |
874 | [{"role": "user", "question": "Boris wants to increase his pocket money. To achieve this a fairy gives him three magic wands. He has to use every single one exactly once.\n<image1>\nIn which order does he have to use the magic wands, in order to get the most money?\n<image2>", "hint": "", "options": {"A": "A", "B": "B"... | D | mcq | 3 | arithmetic | |
875 | [{"role": "user", "question": "Raphael has three squares. The first one has side length $2 \\mathrm{~cm}$, the second one has side length $4 \\mathrm{~cm}$ and one corner is the centre of the first square. The third square has side length $6 \\mathrm{~cm}$ and one corner is the centre of the second square. What is the ... | A | mcq | 2 | metric geometry - area | |
876 | [{"role": "user", "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>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | A | mcq | 2 | combinatorial geometry | |
877 | [{"role": "user", "question": "The numbers $1,2,3,4$ and 5 have to be written into the five fields of this diagram according to the following rules: If one number is below another number, it has to be greater; if one number is to the right of another, it has to be greater. How many ways are there to place the numbers?\... | 6 | numeric | 3 | combinatorics | |
878 | [{"role": "user", "question": "There are eight kangaroos in a row, as seen in the picture.\n<image1>\nTwo kangaroos, that are standing next to each other and that are looking into each others eyes, are changing places by hopping past each other. This is carried out until no more jumps are possible. How often did a chan... | 13 | numeric | 2 | counting | |
879 | [{"role": "user", "question": "A square floor is made up of triangular and square tiles in grey and white. What is the smallest number of grey tiles that have to be swapped with white tiles, so that the floor looks the same from all four given viewing directions?\n<image1>", "hint": "", "options": {"A": "three triangle... | C | mcq | 5 | descriptive geometry | |
88 | [{"role": "user", "question": "There are 12 children in front of a zoo. Susi is the 7th from the front and Kim the $2 \\mathrm{nd}$ from the back. <image1>\nHow many children are there between Susi and Kim?", "hint": "", "options": {}, "choices": []}] | 3 | numeric | 2 | arithmetic | |
880 | [{"role": "user", "question": "Each one of the 5 keys locks exactly one padlock. Every letter on a padlock stands for exactly one digit, same letters mean same digits. Which digits are on the key with the question mark?\n<image1>", "hint": "", "options": {}, "choices": []}] | 284 | numeric | 2 | algebra | |
881 | [{"role": "user", "question": "The first kangaroo is repeatedly mirrored along the dotted lines. Two reflections were already carried out. In which position is the kangaroo in the grey triangle?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | E | mcq | 1 | transformation geometry | |
882 | [{"role": "user", "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?\n<image1>", "hint": "", "options": {}, "choices": []}] | 3 | numeric | 2 | counting | |
883 | [{"role": "user", "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>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | C | mcq | 5 | descriptive geometry | |
884 | [{"role": "user", "question": "If you hit the target board, you score points. The number of points depends on which one of the three areas you hit. Diana throws two darts, three times at the target board. On the first attempt she scores 14 points and on the second 16 points. How many points does she score on the third ... | 18 | numeric | 2 | algebra | |
885 | [{"role": "user", "question": "A garden is split into equally sized square-shaped lots. A fast and snail crawls $1 \\mathrm{~m}$ in one hour and the fast one crawls $2 \\mathrm{~m}$ in one hour. In which position will the two snails meet for the first time?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "... | B | mcq | 2 | algebra | |
886 | [{"role": "user", "question": "A star consist of a square and four triangles. All sides of the triangles are equally long. The perimeter of the square is $36 \\mathrm{~cm}$. What is the perimeter of the star?\n<image1>", "hint": "", "options": {"A": "$144 \\mathrm{~cm}$", "B": "$120 \\mathrm{~cm}$", "C": "$104 \\mathrm... | E | mcq | 3 | metric geometry - length | |
887 | [{"role": "user", "question": "A big spot of ink covers most of a calendar page of a certain month. Which day of the week does the 25th day of that month fall on?\n<image1>", "hint": "", "options": {"A": "Monday", "B": "Wednesday", "C": "Thursday", "D": "Saturday", "E": "Sunday"}, "choices": []}] | D | mcq | 3 | arithmetic | |
888 | [{"role": "user", "question": "A figure is made up of three squares. The side length of the smallest square is $6 \\mathrm{~cm}$. How long is the side length of the biggest square?\n<image1>", "hint": "", "options": {"A": "$8 \\mathrm{~cm}$", "B": "$10 \\mathrm{~cm}$", "C": "$12 \\mathrm{~cm}$", "D": "$14 \\mathrm{~cm}... | C | mcq | 3 | metric geometry - length | |
889 | [{"role": "user", "question": "Alice subtracts one two-digit number from another two-digit number. Afterwards she paints over two digits in the calculation. How big is the sum of the two painted digits?\n<image1>", "hint": "", "options": {}, "choices": []}] | 13 | numeric | 2 | algebra | |
89 | [{"role": "user", "question": "Jörg is sorting his socks. Two socks with the same number are one pair.\n<image1>\nHow many pairs can he find?", "hint": "", "options": {}, "choices": []}] | 5 | numeric | 1 | counting | |
890 | [{"role": "user", "question": "In the diagram the circles represent light bulbs which are connected to some other light bulbs. Initially all light bulbs are switched off. If you touch a light bulb then that light bulb and all directly adjacent light bulbs switch themselves on. What is the minimum number of light bulbs ... | 2 | numeric | 2 | graph theory | |
891 | [{"role": "user", "question": "Four equally big squares are partially coloured in black. In which of the four squares is the total area of the black parts biggest?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "The total area of the black parts is always equally big."}, "choices": []}... | E | mcq | 2 | combinatorial geometry | |
892 | [{"role": "user", "question": "The four smudges hide four of the numbers $1,2,3,4,5$. The calculations along the two arrows are correct. Which number hides behind the smudge with the star?\n<image1>", "hint": "", "options": {}, "choices": []}] | 5 | numeric | 2 | algebra | |
893 | [{"role": "user", "question": "The faces of a die are either white, grey or black. Opposite faces are always a different colour. Which of the following nets does not belong to such a die?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | E | mcq | 5 | descriptive geometry | |
894 | [{"role": "user", "question": "Emily wants to write a number into every free small triangle. The sum of the numbers in two triangles with a common side should always be the same. Two numbers are already given. How big is the sum of all numbers in the figure?\n<image1>", "hint": "", "options": {}, "choices": []}] | 21 | numeric | 3 | arithmetic | |
895 | [{"role": "user", "question": "Instead of digits Hannes uses the letters A, B, C and D in a calculation. Different letters stand for different digits. Which digit does the letter B stand for?\n<image1>", "hint": "", "options": {}, "choices": []}] | 0 | numeric | 2 | algebra | |
896 | [{"role": "user", "question": "Four ladybirds each sit on a different cell of a $4 \\times 4$ grid. One is asleep and does not move. On a whistle the other three each move to an adjacent free cell. They can crawl up, down, to the right or to the left but are not allowed on any account to move back to the cell that they... | A | mcq | 2 | graph theory | |
897 | [{"role": "user", "question": "The five balls weigh $30 \\mathrm{~g}$, $50 \\mathrm{~g}, 50 \\mathrm{~g}, 50 \\mathrm{~g}$ and $80 \\mathrm{~g}$. Which of the balls weighs $30 \\mathrm{~g}$ ?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | C | mcq | 2 | algebra | |
898 | [{"role": "user", "question": "The figure shown on the right consists of one square part and eight rectangular parts. Each part is $8 \\mathrm{~cm}$ wide. Peter assembles all parts to form one long, $8 \\mathrm{~cm}$ wide rectangle. How long is this rectangle?\n<image1>", "hint": "", "options": {"A": "$150 \\mathrm{~cm... | D | mcq | 2 | combinatorial geometry | |
899 | [{"role": "user", "question": "Carina has started to draw a cat. <image1> She then adds some eyes. Which picture could show her finished drawing?\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 2 | combinatorial geometry | |
9 | [{"role": "user", "question": "A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 1 | graph theory | |
90 | [{"role": "user", "question": "Five equally big square pieces of card are placed on a table on top of each other. The picture on the side is created this way. The cards are collected up from top to bottom. In which order are they collected?\n<image1>", "hint": "", "options": {"A": "5-4-3-2-1", "B": "5-2-3-4-1", "C": "5... | E | mcq | 2 | descriptive geometry | |
900 | [{"role": "user", "question": "The Mayas used points and lines to write numbers. A point stands for 1, a line for 5. Which of the following Maya-numbers stands for 17?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 2 | algebra | |
901 | [{"role": "user", "question": "A digital clock shows the following time: <image1> What time is it when it uses the exactly same digits again for the first time after that?\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | C | mcq | 3 | combinatorics | |
902 | [{"role": "user", "question": "The sum of the dots on opposite sides of an ordinary die is 7. Which of the following dice could be an ordinary die?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | E | mcq | 5 | solid geometry | |
903 | [{"role": "user", "question": "Which of the following geometrical figures does not appear in the big picture?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 2 | combinatorial geometry | |
904 | [{"role": "user", "question": "Laura wants to colour in exactly one $2 \\times 2$ square <image1> in the figure given <image2>. How many ways are there for her to do that?", "hint": "", "options": {}, "choices": []}] | 8 | numeric | 2 | counting | |
905 | [{"role": "user", "question": "On each of the three separate pieces of paper there is a three-digit number. The sum of the three numbers is 826. What is the sum of the two hidden digits?\n<image1>", "hint": "", "options": {}, "choices": []}] | 9 | numeric | 2 | algebra | |
906 | [{"role": "user", "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>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | A | mcq | 2 | combinatorial geometry | |
907 | [{"role": "user", "question": "Which of the five squares has the biggest proportion of black area?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 2 | combinatorial geometry | |
908 | [{"role": "user", "question": "Maxi builds towers made up of little $1 \\mathrm{~cm} \\times 1 \\mathrm{~cm} \\times 2 \\mathrm{~cm}$ building blocks as can be seen in the picture.\n<image1>\nHe continues to build his towers in the same way. Finally he uses 28 building blocks for one tower. What is the height of this t... | C | mcq | 2 | algebra | |
909 | [{"role": "user", "question": "Bridget folds a square piece of paper twice and subsequently cuts it along the two lines as shown in the picture.\n<image1>\nHow many pieces of paper does she obtain this way?", "hint": "", "options": {}, "choices": []}] | 9 | numeric | 1 | transformation geometry | |
91 | [{"role": "user", "question": "The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? <image1>", "hint": "", "options": {"A": "$6 \\mathrm{~m}$", "B": "$8 \\mathrm{~m}$", "C": "$10 \\mathrm{~m}$", "D": "$11 \\mathrm{~m}$", "E": "$12 \\mathrm{~m}$"}, "choices": []}] | E | mcq | 1 | combinatorial geometry | |
910 | [{"role": "user", "question": "Each of the nets of a cube has a line drawn on. For which net does the line form a closed loop when the net is folded up to make a cube?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 5 | descriptive geometry | |
911 | [{"role": "user", "question": "A natural number greater than 0 is written on each side of the die shown. All products of opposite numbers are of the same value. What is the smallest possible sum of all 6 numbers?\n<image1>", "hint": "", "options": {}, "choices": []}] | 41 | numeric | 2 | algebra | |
912 | [{"role": "user", "question": "4 equally heavy black pearls, 1 white pearl and a piece of iron weighing $30 \\mathrm{~g}$ are placed on a beam balance as shown in the diagram. The beam balance is balanced. How heavy are 6 black and 3 white pearls altogether?\n<image1>", "hint": "", "options": {"A": "$100 \\mathrm{~g}$"... | E | mcq | 2 | algebra | |
913 | [{"role": "user", "question": "Benjamin writes a number into the first circle. He then carries out the calculations as instructed and each time writes down the results in the respective circles. How many of the six numbers are divisible by 3?\n<image1>", "hint": "", "options": {}, "choices": []}] | 2 | numeric | 3 | arithmetic | |
914 | [{"role": "user", "question": "The cardboard is folded up into a $2 \\times 1 \\times 1$ box. Which of the pictures does not show the box?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 5 | descriptive geometry | |
915 | [{"role": "user", "question": "Jette and Willi throw balls at two identically built pyramids each made up of 15 tins. Jette hits 6 tins and gets 25 points. Willi hits 4 tins. How many points does Willi get?\n<image1>", "hint": "", "options": {}, "choices": []}] | 26 | numeric | 3 | arithmetic | |
916 | [{"role": "user", "question": "Which tile below completes the wall next to it?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | E | mcq | 2 | combinatorial geometry | |
917 | [{"role": "user", "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?\n<image1>", "hint": "", "options": {}, "choices": []}] | 7 | numeric | 3 | arithmetic | |
918 | [{"role": "user", "question": "The board beside is formed by little white and dark squares. After a ninety-degree turn, how can this board appear?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 1 | transformation geometry | |
919 | [{"role": "user", "question": "Bia has five coins as shown beside. She went to the grocery store to buy a fruit, using only three coins, without having to receive change. Among the prices of the following fruits, which one can she NOT buy?\n<image1>", "hint": "", "options": {"A": "1,30", "B": "1,35", "C": "1,40", "D": ... | C | mcq | 3 | combinatorics | |
92 | [{"role": "user", "question": "The picture shows a mouse and a piece of cheese. The mouse is only allowed to move to the neighbouring fields in the direction of the arrows. How many paths are there from the mouse to the cheese?\n<image1>", "hint": "", "options": {}, "choices": []}] | 6 | numeric | 1 | combinatorics | |
920 | [{"role": "user", "question": "Cynthia paints each region of the figure in a single color: red, blue or yellow. She paints the regions that touch each other with different colors. In how many different ways can she color the figure?\n<image1>", "hint": "", "options": {}, "choices": []}] | 6 | numeric | 2 | graph theory | |
921 | [{"role": "user", "question": "Two little mice, one white and one dark, leave, at the same time, towards the cheese, through different paths, as indicated in the picture, in which the little squares are equal. The two arrive at the same time to the cheese. If the dark mouse runs 4.5 meters per second, how many meters p... | 1.5 | numeric | 2 | algebra | |
922 | [{"role": "user", "question": "The circles of the figure should be numbered from 0 to 10 , each with a different number. The five sums of the three numbers written on each diameter must be odd numbers. If one of these sums is the smallest possible, what will be the largest possible value of one of the remaining sums?\n... | 21 | numeric | 2 | algebra | |
923 | [{"role": "user", "question": "When the bat Elisa left its cave at night, the digital clock showed <image1>. When she came back in the morning and hung herself upside down, she looked at her watch and saw <image1>. How long did she stay out of the cave?", "hint": "", "options": {"A": "2h 48m", "B": "2h 59m", "C": "3h 3... | D | mcq | 3 | arithmetic | |
924 | [{"role": "user", "question": "Maria has exactly 9 white cubes, 9 light gray cubes and 9 dark gray cubes, all the same size. She glues all these cubes together to form a larger cube. Which of the cubes below is the one she made?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "cho... | A | mcq | 5 | solid geometry | |
925 | [{"role": "user", "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?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | A | mcq | 2 | counting | |
926 | [{"role": "user", "question": "Which of the following indeformable pieces of wire, when duplicated, allows to make a closed piece without crosses, with the two pieces joined by their ends?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 2 | combinatorial geometry | |
927 | [{"role": "user", "question": "Amelia glues these six stickers on the faces of a cube: <image1>. The figure shows this cube in two different positions. Which adhesive is on the opposite side of the duck?\n<image2>\n<image3>", "hint": "", "options": {"A": "(A)", "B": "(B)", "C": "(C)", "D": "(D)", "E": "(E)"}, "choices"... | E | mcq | 5 | solid geometry | |
928 | [{"role": "user", "question": "Beatriz has five sisters with ages of 2, 3, 5, 8, 10 and 17. Beatriz writes these ages in the circles of the opposite diagram, so that the sum of the ages in the four corners of the square is equal to the sum of the ages in the four circles aligned horizontally. What is this sum?\n<image1... | 32 | numeric | 2 | algebra | |
929 | [{"role": "user", "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>\... | A | mcq | 5 | solid geometry | |
93 | [{"role": "user", "question": "Which of the figures can be cut into these 3 pieces?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | C | mcq | 1 | combinatorial geometry | |
930 | [{"role": "user", "question": "Inside the gray square there are three white squares and the numbers inside them indicate their areas. The white squares have sides parallel to the sides of the gray square. If the area of the gray square is 81, what is the area of the gray area not covered by the white squares?\n<image1>... | 52 | numeric | 2 | metric geometry - area | |
931 | [{"role": "user", "question": "John made a construction with wooden cubes of the same size, with the three views shown beside, using as many cubes as possible. Ana, John's sister, wants to remove all the cubes she can, without modifying these three views. At most, how many cubes can she remove?\nfront:\n<image1>\nright... | 12 | numeric | 5 | descriptive geometry | |
932 | [{"role": "user", "question": "A panel is composed of 4 circles. When Lucy touches a circle, this circle and the others that touch this circle change their color from white to black or from black to white, as shown in the picture. Starting with all white circles, at least how many circles must Lucy touch, one after the... | 4 | numeric | 2 | combinatorial geometry | |
933 | [{"role": "user", "question": "Which set of weights below balances the third scale, in the picture beside?\n<image1>\n<image2>", "hint": "", "options": {"A": "(A)", "B": "(B)", "C": "(C)", "D": "(D)", "E": "(E)"}, "choices": []}] | D | mcq | 2 | algebra | |
934 | [{"role": "user", "question": "Ten people order an ice cream for each one. They ask for four vanilla ice creams, three chocolate ice creams, two lemon ice creams and one mango ice cream. As a topping, they ask for four umbrellas, three cherries, two wafers and a chocolate gum, one topping for each ice cream. Since they... | E | mcq | 2 | logic | |
935 | [{"role": "user", "question": "Dirce built the sculpture on the side by gluing cubic boxes of half a meter on the side. Then she painted the sculpture minus the support base, with a special paint sold in cans. Each can allow to paint 4 square meters of surface. How many cans of paint did she have to buy?\n<image1>", "h... | 4 | numeric | 5 | solid geometry | |
936 | [{"role": "user", "question": "Vania has a sheet of paper divided into nine equal squares. She wants to fold the sheet as shown in the picture, initially with horizontal folds and then with vertical folds, until she leaves the colored square on top of the layers. Vania wants to write the numbers from 1 to 9 , one in ea... | C | mcq | 1 | transformation geometry | |
937 | [{"role": "user", "question": "The figure shows a map with some islands and how they are connected by bridges. A navigator wants to pass through each of the islands exactly once. He started at Cang Island and wants to finish at Uru Island. He has just arrived at the black island in the center of the map. In which direc... | C | mcq | 2 | graph theory | |
938 | [{"role": "user", "question": "Which of the following solid shapes can be made with these 6 bricks?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 2 | combinatorial geometry | |
939 | [{"role": "user", "question": "In how many places in the picture are two children holding each other with their left hands?\n<image1>", "hint": "", "options": {}, "choices": []}] | 1 | numeric | 2 | counting | |
94 | [{"role": "user", "question": "The giants Tim and Tom build a sandcastle and decorate it with a flag. They insert half the flagpole into the highest point of the sandcastle. The highest point of the flagpole is now $16 \\mathrm{~m}$ above the floor, the lowest $6 \\mathrm{~m}$ (see diagram). How high is the sandcastle?... | A | mcq | 1 | metric geometry - length | |
940 | [{"role": "user", "question": "In the square you can see the digits from 1 to 9 <image1>. A number is created by starting at the star, following the line and writing down the digits along the line while passing. For example, the line shown represents the number 42685 <image2>. Which of the following lines represents th... | E | mcq | 2 | algebra | |
941 | [{"role": "user", "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?\n<image1>", "hint": "", "options": {"A": "K", "B": "E", "C": "N", "D": "G", "E": "U"}, "choices": []}] | D | mcq | 2 | logic | |
942 | [{"role": "user", "question": "When the 5 pieces <image1> are fitted together correctly, the result is a rectangle with a calculation written on it. What is the answer to this calculation?", "hint": "", "options": {}, "choices": []}] | 32 | numeric | 3 | arithmetic | |
943 | [{"role": "user", "question": "A measuring tape is wound around a cylinder. What number should be at the place shown by the question mark?\n<image1>", "hint": "", "options": {}, "choices": []}] | 69 | numeric | 5 | solid geometry | |
944 | [{"role": "user", "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?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 1 | transformation geometry | |
945 | [{"role": "user", "question": "Mary had a piece of paper. She folded it exactly in half. Then she folded it exactly in half again. She got this shape <image1>. Which of the shapes P, Q or R could have been the shape of her original piece of paper?\n<image2>", "hint": "", "options": {"A": "only P", "B": "only Q", "C": "... | E | mcq | 1 | transformation geometry | |
946 | [{"role": "user", "question": "There is a square with line segments drawn inside it. The line segments are drawn either from the vertices or the midpoints of other line segments. We coloured $\\frac{1}{8}$ of the large square. Which one is our coloring?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", ... | D | mcq | 2 | combinatorial geometry | |
947 | [{"role": "user", "question": "The map shows three bus stations at points $A, B$ and $C$. A tour from station $A$ to the Zoo and the Port and back to $A$ is $10 \\mathrm{~km}$ long. $A$ tour from station $B$ to the Park and the Zoo and back to B is $12 \\mathrm{~km}$ long. A tour from station C to the Port and the Park... | B | mcq | 2 | graph theory | |
948 | [{"role": "user", "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>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | D | mcq | 2 | combinatorial geometry | |
949 | [{"role": "user", "question": "The diagram shows 3 hexagons with numbers at their vertices, but some numbers are invisible. The sum of the 6 numbers around each hexagon is 30. What is the number on the vertex marked with a question mark?\n<image1>", "hint": "", "options": {}, "choices": []}] | 4 | numeric | 2 | algebra | |
95 | [{"role": "user", "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 ... | A | mcq | 1 | combinatorial geometry | |
950 | [{"role": "user", "question": "3 rectangles of the same height are positioned as shown. The numbers within the rectangles indicate their areas in $\\mathrm{cm}^{2}$. If $A B=6 \\mathrm{~cm}$, how long is the distance $C D$?\n<image1>", "hint": "", "options": {"A": "$7 \\mathrm{~cm}$", "B": "$7.5 \\mathrm{~cm}$", "C": "... | C | mcq | 3 | metric geometry - length | |
951 | [{"role": "user", "question": "A triangular pyramid is built with 10 identical balls, like this <image1>. Each ball has one of the letters A, $B, C, D$ and $E$ on it. There are 2 balls marked with each letter. The picture shows 3 side views of the pyramid. What is the letter on the ball with the question mark?\n<image2... | A | mcq | 5 | descriptive geometry | |
952 | [{"role": "user", "question": "Ronja had four white tokens and Wanja had four grey tokens. They played a game in which they took turns to place one of their tokens to create two piles. Ronja placed her first token first. Which pair of piles could they not create?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", ... | E | mcq | 3 | combinatorics | |
953 | [{"role": "user", "question": "In a railway line between the cities $X$ and $Y$, the trains can meet, traveling in opposite directions, only in one of its stretches, in which the line is double. The trains take 180 minutes to go from $X$ to $Y$ and 60 minutes to go from $Y$ to $X$, at constant speeds. On this line, a t... | B | mcq | 2 | algebra | |
954 | [{"role": "user", "question": "Maurice asked the canteen chef for the recipe for his pancakes. Maurice has 6 eggs, 400g flour, 0.5 liters of milk and 200g butter. What is the largest number of pancakes he can make using this recipe?\n<image1>", "hint": "", "options": {}, "choices": []}] | 8 | numeric | 3 | arithmetic | |
955 | [{"role": "user", "question": "The picture shows 3 gears with a black gear tooth on each. Which picture shows the correct position of the black teeth after the small gear has turned a full turn clockwise?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | A | mcq | 1 | transformation geometry | |
956 | [{"role": "user", "question": "What is the smallest number of shaded squares that can be added to the diagram to create a design, including the grid, with 4 axes of symmetry?\n<image1>", "hint": "", "options": {}, "choices": []}] | 21 | numeric | 2 | combinatorial geometry | |
957 | [{"role": "user", "question": "My little brother has a 4-digit bike lock with the digits 0 to 9 on each part of the lock as shown. He started on the correct combination and turned each part the same amount in the same direction and now the lock shows the combination 6348. Which of the following CANNOT be the correct co... | C | mcq | 2 | algebra | |
958 | [{"role": "user", "question": "Each shelf holds a total of 64 deciliters of apple juice. The bottles have three different sizes: large, medium and small. How many deciliters of apple juice does a medium bottle contain?\n<image1>", "hint": "", "options": {}, "choices": []}] | 10 | numeric | 2 | algebra | |
959 | [{"role": "user", "question": "There are rectangular cards divided into 4 equal cells with different shapes <image1> drawn in each cell. Cards can be placed side by side only if the same shapes appear in adjacent cells on their common side. 9 cards are used to form a rectangle as shown in the figure. Which of the follo... | E | mcq | 2 | logic | |
96 | [{"role": "user", "question": "Each figure is made up of 4 equally big cubes and coloured in. Which figure needs the least amount of colour?\n<image1>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 1 | solid geometry | |
960 | [{"role": "user", "question": "Six points are placed and numbered as shown on the right. Two triangles are drawn: one by connecting the even numbered points, and one by connecting the odd numbered points. Which of the following shapes is the result?\n<image1>\n<image2>", "hint": "", "options": {"A": "A", "B": "B", "C":... | E | mcq | 2 | combinatorial geometry | |
961 | [{"role": "user", "question": "Eva paddles around five buoys with her boat (see diagram). Which of the buoys does she paddle around in an anti-clockwise direction?\n<image1>", "hint": "", "options": {"A": "1 and 4", "B": "2, 3 and 5", "C": "2 and 3", "D": "1,4 and 5", "E": "1 and 3"}, "choices": []}] | E | mcq | 4 | topology | |
962 | [{"role": "user", "question": "The two-sided mirrors reflect the laser beams as shown in the\nsmall picture: <image1> . At which letter does the laser beam leave the picture: <image2> ?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": []}] | B | mcq | 2 | combinatorial geometry |
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