Yuting6/geoqa-r1v-8k-rotated huggingface dataset:
Problem: <image>Question: The numbers $1,2,3,4$ and 9 are written into the squares on the following figure. The sum of the three numbers in the horizontal row, should be the same as the sum of the three numbers in the vertical column. Which number is written in the middle?
<image1>
Answer: 9
Problem: <image>Question: The shape in the picture is to be split into three identical pieces. What does one of these pieces look like?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Which picture shows a single large loop?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: In this square there are 9 dots. The distance between the points is always the same. You can draw a square by joining 4 points. How many different sizes can such squares have?
<image1>
Answer: 3
Problem: <image>Question: Thomas drew a pig and a shark. He cuts each animal into three pieces. Then he takes one of the two heads, one of the two middle sections and one of the two tails and lays them together to make another animal. How many different animals can he make in this way?
<image1>
Answer: 8
Problem: <image>Question: Amy, Bert, Carl, Doris and Ernst each throw two dice. Who has got the biggest total altogether?
<image1>
Choices:
A. Amy
B. Bert
C. Carl
D. Doris
E. Ernst
Answer: E
Problem: <image>Question: <image1>
What is the final result?
Answer: 24
Problem: <image>Question: Clown Pipo looks like this:
<image1>
He looks at himself in the mirror. Which picture does he see?
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>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?
<image1>
<image2>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: D
Problem: <image>Question: Part of a rectangle is hidden by a curtain. The hidden part is a
<image1>
Choices:
A. triangle
B. square
C. hexagon
D. circle
E. rectangle
Answer: A
Problem: <image>Question: Which of the following sentences fits to the picture?
<image1>
Choices:
A. There are equally many circles as squares.
B. There are fewer circles than triangles.
C. There are twice as many circles as triangles.
D. There are more squares than triangles.
E. There are two more triangles than circles.
Answer: C
Problem: <image>Question: A mouse wants to escape a labyrinth. On her way out she is only allowed to go through each opening once at most. How many different ways can the mouse choose to go to get outside?
<image1>
Answer: 4
Problem: <image>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?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>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?
<image1>
Answer: 3
Problem: <image>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?
<image1>
Answer: 4
Problem: <image>Question: Hannes has a game board with 11 spaces. He places one coin each on eight spaces that lie next to each other. He can choose on which space to place his first coin. No matter where Hannes starts some spaces will definitely be filled. How many spaces will definitely be filled?
<image1>
Answer: 5
Problem: <image>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?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Karin wants to place five bowls on a table so that they are ordered according to their weight. She has already placed the bowls $Q, R, S$ and $T$ in order, where $Q$ is lightest and $T$ is heaviest. Where does she have to place bowl Z?
<image1>
Choices:
A. to the left of bowl Q
B. between bowls Q and R
C. between bowls R and S
D. between bowls S and T
E. to the right of bowl T
Answer: B
Problem: <image>Question: Leo has built a stick made up of 27 building blocks.
<image1>
He splits the stick into two pieces in a way so that one part is twice as long as the other. He keeps repeating this again and again. He takes one of the two pieces and splits it up so that one piece is twice as long as the other. Which of the following pieces can never result in this way?
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>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?
<image1>
Choices:
A. Azra
B. Bernhard
C. Christa
D. David
E. Elsa
Answer: B
Problem: <image>Question: Which one of the domino piece's A to $E$ has to be placed in between the shown pieces, so that both calculations are correct?
<image1>
<image2>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: D
Problem: <image>Question: If John looks out the window he can see half of the kangaroos in the park. How many kangaroos in total are there in the park?
<image1>
Answer: 12
Problem: <image>Question: Two square sheets are made up of seethrough and black little squares. Both are placed on top of each other onto the sheet in the middle. Which shape can then still be seen?
<image1>
<image2>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: E
Problem: <image>Question: The picture above rotated. The picture below shows the new position after the rotation. Which footprints are missing after the rotation?
<image1>
<image2>
<image3>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: C
Problem: <image>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?
<image1>
Answer: 3
Problem: <image>Question: Which number is hidden behind the panda?
<image1>
Answer: 16
Problem: <image>Question: The following picture shows a necklace with six pearls:
<image1>
Which of the following diagrams shows the same necklace?
<image2>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: A
Problem: <image>Question: This picture shows you Anna's house from the front: At the back it has three windows but no door. Which picture shows Anna's house from the back?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>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?
<image1>
Answer: 15
Problem: <image>Question: Bob folds a piece of paper, then punches a hole into the paper and unfolds it again. The unfolded paper then looks like this:
<image1>
Along which dotted line has Bob folded the paper beforehand?
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: Ben wants to cut out two identical pieces out of the $4 \times 3$ grid. For which of the following shapes can he not achieve that?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Which number must be written into the circle with the question mark so that the calculation is correct?
<image1>
Answer: 9
Problem: <image>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?
<image1>
Answer: 5
Problem: <image>Question: Georg starts his training at 5 o'clock in the afternoon. It takes him 5 minutes to get to the bus stop. The bus journey takes 15 minutes. Then he has to walk for 5 minutes to get to the pitch. The bus comes at 6 o'clock in the morning for the first time and then every 10 minutes. What is the latest possible time he has to leave the house in order to be at the pitch on time?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Five boys share 10 bags of marbles between themselves. Everyone gets exactly two bags:
<image1>
Alex gets 5 marbles, Bob 7, Charles 9 and Dennis 15. Eric gets the two bags that are left over. How many marbles does he get?
Answer: 19
Problem: <image>Question: Kate has four flowers, which have $6,7,8$ and 11 petals respectively. She now tears off one petal from each of three different flowers. She repeats this until it is no longer possible to tear off one petal from each of three different flowers. What is the minimum number of petals left over?
<image1>
Answer: 2
Problem: <image>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?
<image1>
Answer: 5
Problem: <image>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?
<image1>
Answer: 6
Problem: <image>Question: The diagram shows a wooden block with 5 screws. 4 of which are equally long, one screw is shorter.
<image1>
Which is the shorter screw?
Answer: 5
Problem: <image>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?
<image1>
Answer: 6
Problem: <image>Question: On the right you can see a picture of ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Lucy folds a piece of paper exactly half way and then cuts out a figure:
<image1>
Then she unfolds the paper again. Which of the five pictures can she see?
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Mike sets the table for 8 people: The fork has to lie to the left and the knife to the right of the plate. For how many people is the cutlery set correctly?
<image1>
Answer: 5
Problem: <image>Question: Using these tiles <image1> Robert makes different patterns. How many of the patterns shown below can he make?
<image2>
Answer: 4
Problem: <image>Question: Diana shoots 3 darts, three times at a target board with two fields. The first time she scores 12 points, the second time 15. The number of points depends on which field she has hit. How many points does she score the third time?
<image1>
Answer: 21
Problem: <image>Question: <image1>
Albert 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?
<image7>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Tom wants to completely cover his paper boat using the shapes
<image1>
What is the smallest number of shapes he needs for that?
<image2>
Answer: 6
Problem: <image>Question: The two colours of this picture are swapped. Then the picture is turned. Which of the pictures below is obtained?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: <image1>
Felix the rabbit has 20 carrots. Every day he eats 2 of them. He has eaten the 12th carrot on a Wednesday. On which day of the week did he start eating the carrots?
Choices:
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday
Answer: E
Problem: <image>Question: A rose bush has 8 flowers on which butterflies and dragonflies are sitting. On every flower there is at most one insect sitting on it. More than half of the flowers are occupied. The number of butterflies is twice as big as the number of dragonflies. How many butterflies are sitting on the rose blossoms?
<image1>
Answer: 4
Problem: <image>Question: <image1>
The map shows the roundtrip that Captain Bluebear covers during his journey. Three distances are given on the map. He sails from island to island and starts at the island Berg. In total he covers a distance of $100 \mathrm{~km}$. The distances between the islands Wüste and Wald is equal to the distance between the islands Berg and Blume via Vulkan. How big is the distance between Berg and Wald?
Choices:
A. $17 \mathrm{~km}$
B. $23 \mathrm{~km}$
C. $26 \mathrm{~km}$
D. $33 \mathrm{~km}$
E. $35 \mathrm{~km}$
Answer: D
Problem: <image>Question: Tobias glues 10 cubes together so that the following object is formed: He paints all of it, even the bottom. How many cubes then have exactly 4 faces coloured in?
<image1>
Answer: 8
Problem: <image>Question: The big rectangle consists of various squares of different sizes. Each of the three smallest squares has area 1. How big is the area of the big rectangle?
<image1>
Answer: 77
Problem: <image>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?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: The symbols <image1> <image2> <image3> <image4> <image5> stand for one of the digits 1, 2, 3, 4 or 5. It is known that
<image6>
Which symbol stands for the digit 3?
<image7>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: A belt can be joined together in 5 different ways.
<image1>
How many $\mathrm{cm}$ is the belt longer if it is only closed in the first hole instead of in all 5 holes?
<image2>
Choices:
A. $4 \mathrm{~cm}$
B. $8 \mathrm{~cm}$
C. $10 \mathrm{~cm}$
D. $16 \mathrm{~cm}$
E. $20 \mathrm{~cm}$
Answer: B
Problem: <image>Question: A decorated glass tile is mirrored several times along the boldly printed edge. The first mirror image is shown.
<image1>
What does the tile on the far right look like after the third reflection?
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: Lea should write the numbers 1 to 7 in the fields of the given figure. There is only one number allowed in every field. Two consecutive numbers are not allowed to be in adjacent fields. Two fields are adjacent if they have one edge or one corner in common. Which numbers can she write into the field with the question mark?
<image1>
Choices:
A. all 7 numbers
B. only odd numbers
C. only even numbers
D. the number 4
E. the numbers 1 or 7
Answer: E
Problem: <image>Question: Each of the four balls weighs either 10 or 20 or 30 or 40 grams. Which ball weighs 30 grams?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. It can be A or B.
Answer: C
Problem: <image>Question: The higher someone stands on the podium, the better the ranking. Which number got third place?
<image1>
Answer: 5
Problem: <image>Question: The diagram <image1> shows the number 8. A dot stands for the number 1 and a line for the number 5. Which diagram represents the number 12?
<image2>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: C
Problem: <image>Question: There are two holes in the cover of a book. The book lies on the table opened up (see diagram).
<image1>
After closing up the book which vehicles can Olaf see?
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Three people walked through the snow in their winter boots. In which order did they walk through the snow?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>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?
<image2>
<image3>
Choices:
A. (A)
B. (B)
C. (C)
D. (D)
E. (E)
Answer: B
Problem: <image>Question: Using the connected sticks shown, Pia forms different shapes. Which shape can she not make?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Which number goes into the field with the question mark, if all calculations are solved correctly?
<image1>
Answer: 5
Problem: <image>Question: Linda fixes 3 photos on a pin board next to each other. She uses 8 pins to do so. Peter wants to fix 7 photos in the same way. How many pins does he need for that?
<image1>
Answer: 16
Problem: <image>Question: Dennis takes off one of the squares of this shape <image1>
How many of these 5 shapes can he get?
<image2>
Answer: 3
Problem: <image>Question: Mother halves the birthday cake. One half she then halves again. Of that she again halves one of the smaller pieces. Of these smaller pieces she once more halves one of them (see diagram). One of the two smallest pieces weighs $100 \mathrm{~g}$.
How much does the entire cake weigh?
<image1>
Choices:
A. $600 \mathrm{~g}$
B. $800 \mathrm{~g}$
C. $1200 \mathrm{~g}$
D. $1600 \mathrm{~g}$
E. $2000 \mathrm{~g}$
Answer: D
Problem: <image>Question: All dogs are equally heavy.
<image1>
How much could one dog weigh?
Choices:
A. $7 \mathrm{~kg}$
B. $8 \mathrm{~kg}$
C. $9 \mathrm{~kg}$
D. $10 \mathrm{~kg}$
E. $11 \mathrm{~kg}$
Answer: E
Problem: <image>Question: Steven wants to write each of the digits $2,0,1$ and 9 into the boxes of this addition:
<image1>
He wants to obtain the biggest result possible. Which digit does he have to use for the single-digit number?
Choices:
A. either 0 or 1
B. either 0 or 2
C. only 0
D. only 1
E. only 2
Answer: A
Problem: <image>Question: A full glass of water weighs 400 grams. An empty glass weighs 100 grams.
<image1>
How much does a half-full glass of water weigh?
Choices:
A. $150 \mathrm{~g}$
B. $200 \mathrm{~g}$
C. $225 \mathrm{~g}$
D. $250 \mathrm{~g}$
E. $300 \mathrm{~g}$
Answer: D
Problem: <image>Question: The pictures show how much 2 pieces of fruit cost altogether.
<image1>
Choices:
A. 8 Taler
B. 9 Taler
C. 10 Taler
D. 11 Taler
E. 12 Taler
Answer: D
Problem: <image>Question: Each shape represents exactly one digit. The sum of the digits in each row is stated on the right hand-side of each row.
<image1>
Which digit does the star <image2> stand for?
Answer: 6
Problem: <image>Question: Anna uses 32 small grey squares to frame a $7 \mathrm{~cm}$ by $7 \mathrm{~cm}$ big picture. How many small grey squares does she have to use to frame a $10 \mathrm{~cm}$ by $10 \mathrm{~cm}$ big picture?
<image1>
Answer: 44
Problem: <image>Question: Six paper strips are used to weave a pattern (see diagram). What do you see when you look at the pattern from behind?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>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?
<image1>
Answer: 3
Problem: <image>Question: From above, the corridor of a school looks like in the diagram. A cat walks along the dotted line drawn in the middle of the room. How many meters does the cat walk?
<image1>
Choices:
A. $75 \mathrm{~m}$
B. $77 \mathrm{~m}$
C. $79 \mathrm{~m}$
D. $81 \mathrm{~m}$
E. $83 \mathrm{~m}$
Answer: E
Problem: <image>Question: A mushroom grows up every day. For five days Maria took a picture of this mushroom, but she wrongly ordered the photos beside. What is the sequence of photos that correctly shows the mushroom growth, from left to right?
<image1>
Choices:
A. 2-5-3-1-4
B. 2-3-4-5-1
C. 5-4-3-2-1
D. 1-2-3-4-5
E. 2-3-5-1-4
Answer: A
Problem: <image>Question: John paints the squares of the board next to it if the result of the calculation inside them is 24. How did the painting of the board look?
\begin{tabular}{|l|l|l|}
\hline $28-4$ & $4 \times 6$ & $18+6$ \\
\hline $19+6$ & $8 \times 3$ & $29-6$ \\
\hline
\end{tabular}
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: Which of the following pictures can you NOT do with all the pieces beside?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: Eli drew a board on the floor with nine squares and wrote a number on each of them, starting from 1 and adding 3 units to each new number he wrote, until he filled the board. In the picture, three of the numbers that Eli wrote appear. Which number below can be one of the numbers she wrote in the colored box?
<image1>
Choices:
A. 10
B. 14
C. 17
D. 20
E. 22
Answer: E
Problem: <image>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.
<image1>
After 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?
Answer: 8
Problem: <image>Question: Five children should paint three quarters of the total amount of the little squares on their trays. One of the children A, B, C, D or E was wrong. Which one?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: Gaspar has these seven different pieces, formed by equal little squares.
<image1>
He uses all these pieces to assemble rectangles with different perimeters, that is, with different shapes. How many different perimeters can he find?
Answer: 3
Problem: <image>Question: Janaína made the construction on a grid, using some lighted colored cubes and others darker. Looking from above the construction, what can she see?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: Cynthia paints each region of the figure in a single color: red, blue or yellow. She paints with different colors the regions that touch each other. In how many different ways can Cyntia paint the figure?
<image1>
Answer: 6
Problem: <image>Question: Denis ties his dog, using an 11-meter rope, one meter away from a corner of about 7 meters by 5 meters, as illustrated. Denis places 5 bones near the fence, as shown in the picture. How many bones can the dog catch?
<image1>
Answer: 5
Problem: <image>Question: Luana builds a fence using pieces of wood 2 meters long by half a meter wide, just like this one: <image1>. The picture beside shows this fence, after it is ready. How long is the fence, in meters?
<image2>
Answer: 6.5
Problem: <image>Question: Amelia built a crown using 10 copies of this piece <image1>. The parts were joined together so that the sides in contact had the same number, as shown in the picture, where four parts are visible. What is the number that appears in the colored triangle?
<image2>
Answer: 1
Problem: <image>Question: Julia drew the picture on the side of a cardboard sheet, cut, folded and glued to form a cube. Which of the cubes below can be the one she did?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Whenever the kangaroo goes up seven steps, the rabbit goes down three steps. When the kangaroo is on step number 56 , on which step will the rabbit be?
<image1>
Answer: 76
Problem: <image>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?
<image1>
Answer: 12
Problem: <image>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?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: The sum of the points on the opposite sides of a common dice is 7 . This dice is placed in the first square as shown in the figure, and then rolled as shown in the figure, to the fifth square. When the dice reach the last square, what is the product of the numbers of points shown on the two colored vertical faces?
<image1>
Answer: 18