id stringlengths 1 4 | media images listlengths 1 1 | messages stringlengths 136 1.63k |
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963 | [{"role": "user", "question": "In the 13th century, monks used to write numbers in the following way: <image>\nFor the numbers 1 to 99 they used the signs shown here or a combination of two of these signs. E.g. the number 24 was written like <image2>, the number 81 like <image3> and the number 93 like <image4>. What di... | |
964 | [{"role": "user", "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?\n<image>", "answer": "4", "hint": "", "options": {}, "choic... | |
965 | [{"role": "user", "question": "How much does this Ferris wheel need to turn so that a white gondola is on top for\nthe first time?\n<image>", "answer": "D", "hint": "", "options": {}, "choices": [], "level": 3, "subject": "arithmetic"}] | |
966 | [{"role": "user", "question": "The sides of the square $A B C D$ are $10 \\mathrm{~cm}$ long. What is the total area of the shaded part?\n<image>", "answer": "C", "hint": "", "options": {}, "choices": [], "level": 3, "subject": "arithmetic"}] | |
967 | [{"role": "user", "question": "Five big and four small elephants are marching along a path. Since the path is narrow the elephants cannot change their order. At the fork in the path each elephant either goes to the right or to the left. Which of the following situations cannot happen?\n<image>\n<image2>", "answer": "C"... | |
968 | [{"role": "user", "question": "Marc builds the number 2022 as seen in the picture by glueing together 66 cubes of the same size. Afterwards he paints the entire surface of his work. On how many of the 66 cubes has Marc painted exactly four faces?\n<image>", "answer": "60", "hint": "", "options": {}, "choices": [], "lev... | |
969 | [{"role": "user", "question": "In a box-shaped water tank with dimensions $4 \\mathrm{~m} \\times 2 \\mathrm{~m} \\times 1 \\mathrm{~m}$, the height of the water is $25 \\mathrm{~cm}$. The tank is then turned on its side (see picture on the right). How high is the water in the tank now?\n<image>", "answer": "D", "hint"... | |
97 | [{"role": "user", "question": "Four strips of paper are used to make a pattern (see picture).\n<image>\nWhat do you see when you look at it from behind?\n<image2>", "answer": "D", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "descriptive geometry"}] | |
970 | [{"role": "user", "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<image>\n<image2>", "answer": "A", "hint": "", "options": {}, "choices": [], "level": 1, "subje... | |
971 | [{"role": "user", "question": "Four circles are always connected by a line to form chains of four in a drawing. The numbers 1, 2, 3 and 4 appear in each row, each column and each chain of four.\nWhich number is in the circle with the question mark?\n<image>", "answer": "2", "hint": "", "options": {}, "choices": [], "le... | |
972 | [{"role": "user", "question": "Some identical glasses are stacked on top of each other. A stack with eight glasses is $42 \\mathrm{~cm}$ high. A stack with two glasses is $18 \\mathrm{~cm}$ high. How high is a stack with six glasses?\n<image>", "answer": "D", "hint": "", "options": {}, "choices": [], "level": 2, "subje... | |
973 | [{"role": "user", "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<image>\n<image2>", "answer": "C", "hint": "", "options": {}, "choices": [], "level": 5, "subject": "descriptive geometry"}] | |
974 | [{"role": "user", "question": "Werner inserts numbers in various ways into the empty squares <image> in such a way that the calculation is correct. He always uses four of the numbers 2,3, 4, 5 or 6 where in each calculation each number is only allowed to appear once. How many of the five numbers can Werner insert into ... | |
975 | [{"role": "user", "question": "A building is made up of cubes of the same size. The three pictures show it from above (von oben), from the front (von vorne) and from the right (von rechts). What is the maximum number of cubes used to make this building?\n<image>", "answer": "19", "hint": "", "options": {}, "choices": [... | |
976 | [{"role": "user", "question": "Each animal in the picture on the right represents a natural number greater than zero. Different animals represent a different numbers. The sum of the two numbers of each column is written underneath each column. What is the maximum value the sum of the four numbers in the upper row can h... | |
977 | [{"role": "user", "question": "Kai has to insert the numbers $3,4,5,6$ and 7 into the five circles of the diagram on the right in the following way: The product of the three numbers in the vertices of each triangle has to be equal to the number stated within the triangle. How big is the sum of the numbers in the vertic... | |
978 | [{"role": "user", "question": "Matchsticks are arranged to form numbers as shown. To form the number 15 one needs 7 matchsticks. To form the number 8 one needs the same amount. What is the biggest number that one can build using 7 matchsticks? <image>", "answer": "711", "hint": "", "options": {}, "choices": [], "level"... | |
979 | [{"role": "user", "question": "Which of the shapes cannot be split into two triangles using a single straight line?\n<image>", "answer": "A", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "combinatorial geometry"}] | |
98 | [{"role": "user", "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?\n<image>", "answer": "4", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "arithmetic"}] | |
980 | [{"role": "user", "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? <image>", "answer": "12", "hint": "", "options": {}, "choices": [], "level": 5, "subject": "solid geo... | |
981 | [{"role": "user", "question": "Anna has five discs of different sizes. She wants to use 4 of them to build a tower. <image> She always has to place a smaller one on top of a bigger one. How many ways are there for Anna to build the tower?", "answer": "5", "hint": "", "options": {}, "choices": [], "level": 3, "subject":... | |
982 | [{"role": "user", "question": "Four ribbons $\\mathrm{M}, \\mathrm{N}, \\mathrm{P}$ and $\\mathrm{Q}$ are wrapped around a box. <image> In which order were they wrapped around the box?", "answer": "D", "hint": "", "options": {}, "choices": [], "level": 5, "subject": "descriptive geometry"}] | |
983 | [{"role": "user", "question": "Alice has four jigsaw pieces. <image> Which two can be fitted together to form a hexagon?", "answer": "B", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "combinatorial geometry"}] | |
984 | [{"role": "user", "question": "A dark disc with three holes is placed on top of a dial of a watch (see diagram). Then the disc is rotated around its centre. Which numbers can be seen at the same time? <image>", "answer": "A", "hint": "", "options": {}, "choices": [], "level": 1, "subject": "transformation geometry"}] | |
985 | [{"role": "user", "question": "Jan sticks these three pieces of paper <image> Which picture can he not obtain?\n<image2>", "answer": "C", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "combinatorial geometry"}] | |
986 | [{"role": "user", "question": "A terrace is covered with square tiles of different sizes. The smallest tile has a perimeter of $80 \\mathrm{~cm}$. A snake lay down along the edges of the tiles (see diagram). How long is the snake? <image>", "answer": "C", "hint": "", "options": {}, "choices": [], "level": 2, "subject":... | |
987 | [{"role": "user", "question": "The picture of a digital watch can be seen in a mirror:\n<image> Which picture of the watch can be seen in the mirror 30 minutes later?", "answer": "D", "hint": "", "options": {}, "choices": [], "level": 1, "subject": "transformation geometry"}] | |
988 | [{"role": "user", "question": "The sums of the numbers in the white and in the grey fields should be equally big. Which two numbers have to be swapped so that the sums are equally big? <image>", "answer": "A", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "algebra"}] | |
989 | [{"role": "user", "question": "The big rectangle is made up of five small rectangles (see diagram). Lukas wants to colour in the small rectangles in red, blue and yellow. Two rectangles next to each other should be coloured in different colours.\n<image> How many ways are there for Lukas to do that?", "answer": "6", "h... | |
99 | [{"role": "user", "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<image>\n<image2>", "answer": "C", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "descriptive geometry"}] | |
990 | [{"role": "user", "question": "4 posts are placed along a $120 \\mathrm{~m}$ long running track. How many more posts have to be placed so that the running track is split into equally long sections that way? <image>", "answer": "17", "hint": "", "options": {}, "choices": [], "level": 2, "subject": "algebra"}] | |
991 | [{"role": "user", "question": "In a game one is allowed to take (some or all) building blocks from the top of a stack of building blocks, turn them upside down and place them back in the same position within one move. Goran starts with this stack of building blocks: <image> In the end all building blocks should be orde... | |
992 | [{"role": "user", "question": "A rabbit, a beaver and a kangaroo are having a competition. All three begin at the same time from the \"Start\" and hop in the same direction. The beaver always moves one position forwards with each jump. The rabbit always moves two positions forwards with one jump and the kangaroo always... | |
993 | [{"role": "user", "question": "Tina draws shapes into each field of the pyramid. Each field in the second and third row contains exactly the shapes of the two fields below. Some fields are already done. Which shapes does she draw into the empty field of the bottom row? <image>\n<image2>", "answer": "D", "hint": "", "op... | |
994 | [{"role": "user", "question": "A tower is made up of bricks that are labelled with the numbers from 1 to 50 from bottom to top. Bob uses these bricks to build a new tower. Each time he takes the two topmost bricks off the old tower and places them down on top of the new tower without changing their order (see diagram).... | |
995 | [{"role": "user", "question": "Martin has three cards that are labelled on both sides with a number. Martin places the three cards on the table without paying attention to back or front. He adds the three numbers that he can then see. How many different sums can Martin get that way?\n<image>", "answer": "E", "hint": ""... | |
996 | [{"role": "user", "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. <image> (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 A... | |
997 | [{"role": "user", "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 di... | |
998 | [{"role": "user", "question": "A folded napkin was cut through (see picture). What does it look like when unfolded?\n<image>\n<image2>", "answer": "C", "hint": "", "options": {}, "choices": [], "level": 3, "subject": "transformation geometry"}] | |
999 | [{"role": "user", "question": "The composite board shown in the picture consists of 44 fields $1 \\times 1$. How many possibilities are there to cover all 40 white fields with 20 rectangular stones $1 \\times 2$? (The board cannot be turned. Two possibilities are different if at least one stone lies in another way.)\n<... |
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