Yuting6/geoqa-r1v-8k-rotated huggingface dataset:
Problem: <image>Question: Each of these two pieces of wire is made of 8 segments of length 1. One of the pieces is placed one above the other so that they coincide partially. What is the largest possible length of their common part?
<image1>
Answer: 5
Problem: <image>Question: Six numbers are written on the following cards, as shown:
<image1>
What is the largest number you can form with the given cards?
Answer: 7685413092
Problem: <image>Question: Choose the picture where the angle between the hands of a watch is $150^{\circ}$.
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: With how many ways one can get a number 2006 while following the arrows on the figure?
<image1>
Answer: 8
Problem: <image>Question: We need $9 \mathrm{~kg}$ of ink (in kilograms) to paint the whole cube. How much ink do you need to paint the white surface?
<image1>
Answer: 2
Problem: <image>Question: What is the perimeter of the star (in centimetres) if you know that the star on the picture is formed by four equal circles with radius $5 \mathrm{~cm}$, one square and four equilateral triangles?
<image1>
Answer: 160
Problem: <image>Question: A paper in the shape of a regular hexagon, as the one shown, is folded in such a way that the three marked corners touch each other at the centre of the hexagon. What is the obtained figure?
<image1>
Choices:
A. Six corner star
B. Dodecagon
C. Hexagon
D. Square
E. Triangle
Answer: E
Problem: <image>Question: A square consists of 10 by 10 little squares. Those little squares are coloured in diagonals: red, white, blue, green, purple, red, white,
blue,... What will be the colour of the square in the right corner below?
<image1>
Choices:
A. Red
B. White
C. Blue
D. Green
E. Purple
Answer: D
Problem: <image>Question: $|A B|=4 \mathrm{~m},|B C|=1 \mathrm{~m}$. $E$ is a midpoint of $A B, F$ is a midpoint of $A E, G$ is a midpoint of $A D$ and $H$ is a midpoint of $A G$. The area of the black rectangle is equal to:
<image1>
Choices:
A. $\frac{1}{4} \mathrm{~m}^{2}$
B. $1 \mathrm{~m}^{2}$
C. $\frac{1}{8} \mathrm{~m}^{2}$
D. $\frac{1}{2} \mathrm{~m}^{2} $
E. $\frac{1}{16} \mathrm{~m}^{2}$
Answer: A
Problem: <image>Question: Which will be the result?
<image1>
Choices:
A. 111 111 111
B. 1 010 101 010
C. 100 000 000
D. 999 999 999
E. 1 000 000 000
Answer: B
Problem: <image>Question: The diameter of the circle from the picture is $10 \mathrm{~cm}$. What is the perimeter of the figure which is marked with double line, if the rectangles in the picture are coincident?
<image1>
Choices:
A. $8 \mathrm{~cm}$
B. $16 \mathrm{~cm}$
C. $20 \mathrm{~cm}$
D. $25 \mathrm{~cm}$
E. $30 \mathrm{~cm}$
Answer: C
Problem: <image>Question: Six cars are parked on a parking. Someone wants to move from $S$ to $F$. His route must be as short as possible. Which of the following routes is the shortest?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. All routes are equal
Answer: B
Problem: <image>Question: A river goes through a city and there are two islands. There are also six bridges how it is shown in the attached image. How many paths there are going out of a shore of the river (point $A$ ) and come back (to point $B$ ) after having spent one and only one time for each bridge?
<image1>
Answer: 6
Problem: <image>Question: Belinda is building squares with matches adding small squares that it already has built according to the schema of the figure. How many matches does she have to add to the 30th square to build the 31st?
<image1>
Answer: 124
Problem: <image>Question: On the faces of a cube are written letters. First figure represents one possibility of its net. What letter should be written instead of the question mark in the other version of its net?
<image1>
Choices:
A. A
B. B
C. C
D. E
E. Impossible to determine
Answer: D
Problem: <image>Question: In the square below the numbers 1,2 and 3 must be written in the cells. In each row and in each column each of the numbers 1 , 2 and 3 must appear. Harry started to fill in the square. In how many ways can he complete this task?
<image1>
Answer: 1
Problem: <image>Question: The robot starts walking over white cells of the table from the cell A2 in the direction of the arrow, as shown in the picture. It goes always forward. If it meets an obstacle (a black cell or the border of the table), it turns right. The robot stops in case, it cannot go forward after turning right (i.e., it stops in the cell where the obstacles appear in front of him and on the right). In which cell will it stop?
<image1>
Choices:
A. B2
B. B1
C. A1
D. D1
E. It never stops
Answer: D
Problem: <image>Question: The carpenter's machine can perform two operations: $\mathrm{P}$ and $\mathrm{T}$. The operation $\mathrm{P}$ is "printing" and $\mathrm{T}$ is "turning" (see the figure). What is the right sequence of operations to obtain <image1> starting from <image2>?
<image3>
Choices:
A. TTP
B. PTT
C. TPT
D. TPP
E. TPTTT
Answer: B
Problem: <image>Question: Diagonals are drawn in three adjacent faces of a cube as shown in the picture. Which of the following nets is that of the given cube?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Kelly had a paper ribbon of $27 \mathrm{~cm}$ long. She divided it into four rectangles of different size and drew two segments both of which connected the centres of the two adjacent rectangles (see the picture). Find the sum of lengths of the two segments.
<image1>
Choices:
A. $12 \mathrm{~cm}$
B. $13.5 \mathrm{~cm}$
C. $14 \mathrm{~cm}$
D. $14.5 \mathrm{~cm}$
E. The number depends on the division
Answer: B
Problem: <image>Question: Two squares $9 \mathrm{~cm} \times 9 \mathrm{~cm}$ overlap so as to form a rectangle $9 \mathrm{~cm} \times 13 \mathrm{~cm}$ as shown. Find the area of the region in which the two squares overlap.
<image1>
Choices:
A. $36 \mathrm{~cm}^{2}$
B. $45 \mathrm{~cm}^{2}$
C. $54 \mathrm{~cm}^{2}$
D. $63 \mathrm{~cm}^{2}$
E. $72 \mathrm{~cm}^{2}$
Answer: B
Problem: <image>Question: A parallelogram is divided in two parts $P_{1}$ and $P_{2}$, as shown in the picture. Which sentence is always true?
<image1>
Choices:
A. $P_{2}$ has a longer perimeter than $P_{1}$
B. $P_{2}$ has a smaller perimeter than $P_{1}$
C. $P_{2}$ has a smaller area than $P_{1}$
D. $P_{1}$ and $P_{2}$ have the same perimeter
E. $P_{1}$ and $P_{2}$ have the same area
Answer: D
Problem: <image>Question: The squares are formed by intersecting the segment $A B$ of $24 \mathrm{~cm}$ by the broken line $A A_{1} A_{2} \ldots A_{12} B$ (see the figure). Find the length of $A A_{1} A_{2} \ldots A_{12} B$.
<image1>
Choices:
A. $48 \mathrm{~cm}$
B. $72 \mathrm{~cm}$
C. $96 \mathrm{~cm}$
D. $56 \mathrm{~cm}$
E. $106 \mathrm{~cm}$
Answer: B
Problem: <image>Question: Figure $\mathrm{S}$ is made from four paper ribbons $10 \mathrm{~cm}$ wide. Each of the ribbons is $25 \mathrm{~cm}$ longer than the previous one (see the picture). By how many centimetres will the perimeter of figure $\mathrm{T}$ (made from the same ribbons) exceed that of figure $\mathrm{S}$?
<image1>
Answer: 50
Problem: <image>Question: The side of the square $A B C D$ is $10 \mathrm{~cm}$. The inner point $E$ of the square is such that $\angle E A B=75^{\circ}, \angle A B E=30^{\circ}$. The length of the segment $E C$ is:
<image1>
Choices:
A. $8 \mathrm{~cm}$
B. $9 \mathrm{~cm}$
C. $9.5 \mathrm{~cm}$
D. $10 \mathrm{~cm}$
E. $11 \mathrm{~cm}$
Answer: D
Problem: <image>Question: In the picture, $A B C D$ and $E F G H$, with $A B$ parallel to $E F$, are two equal squares. The shaded area is equal to 1. What is the area of the square $A B C D$?
<image1>
Answer: 1
Problem: <image>Question: A rectangular section was cut out of a rectangular block as shown in the diagram. Find the decrease percentage of the surface area.
<image1>
Choices:
A. Less than $12.5 \%$
B. $12.5 \%$
C. More than $12.5 \%$, but less than $25 \%$
D. $25 \%$
E. More than $25 \%$
Answer: B
Problem: <image>Question: The die is a cube, the faces of which are numbered by $1,2, \ldots, 6$, the sum of the numbers in any two opposite faces being 7. Using 4 such identical dice, Nick composed a parallelepiped $2 \times 2 \times 1$ as shown in the figure, the numbers on any two touching faces of the dice being equal. The numbers on some faces are shown in the figure. Which number is written in the face denoted by the question mark?
<image1>
Answer: 5
Problem: <image>Question: The multiplication <image1> uses each of the digits from 1 to 9 exactly once. What is digit $Y$?
Answer: 5
Problem: <image>Question: Numbers 2, 3, 4 and one more unknown number are written in the cells of $2 \times 2$ table. It is known that the sum of the numbers in the first row is equal to 9 , and the sum of the numbers in the second row is equal to 6 . The unknown number is
<image1>
Answer: 6
Problem: <image>Question: At a pirate school, each student had to sew a black and white flag. The condition was, that the black colour had to cover exactly three fifths of the flag. How many of the following flags fulfilled this condition?
<image1>
Choices:
A. None
B. One
C. Two
D. Three
E. Four
Answer: C
Problem: <image>Question: This is a small piece of the multiplication table and another one, in which, unfortunately, some numbers are missing. What is the number in the square with the question mark?
<image1>
Answer: 54
Problem: <image>Question: In a shop selling toys a four-storey black and white "brickflower" is displayed (see picture on the left). Each storey is made of bricks of the same colour. In the picture on the right, the flower is shown from the top. How many white bricks were used to make the flower?
<image1>
Answer: 14
Problem: <image>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?
<image1>
Choices:
A. It is impossible to do this
B. T
C. M
D. H
E. P
Answer: D
Problem: <image>Question: The triangle and the square have the same perimeter. What is the perimeter of the whole figure (a pentagon)?
<image1>
Choices:
A. $12 \mathrm{~cm}$
B. $24 \mathrm{~cm}$
C. $28 \mathrm{~cm}$
D. $32 \mathrm{~cm}$
E. It depends on the lengths of triangle sides
Answer: B
Problem: <image>Question: A river starts at point $A$. As it flows the river splits into two. One branch takes $\frac{1}{3}$ of the water and the second takes the rest. Later the second branch splits into two, one taking $\frac{3}{4}$ of the branch's water, the other the rest. The map below shows the situation. What part of the original water flows at the point $B$?
<image1>
Choices:
A. $\frac{1}{4}$
B. $\frac{2}{9}$
C. $\frac{1}{2}$
D. $\frac{1}{6}$
E. Cannot be determined
Answer: D
Problem: <image>Question: By shooting two arrows at the shown target on the wall, how many different scores can we obtain?
<image1>
Answer: 9
Problem: <image>Question: Which of the "buildings" A-E, each consisting of 5 cubes, cannot be obtained from the building on the right, if you are allowed to move only one cube?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: Suppose you make a trip over the squared board shown, and you visit every square exactly once. Where must you start, if you can move only horizontally or vertically, but not diagonally?
<image1>
Choices:
A. Only in the middle square
B. Only at a corner square
C. Only at an unshaded square
D. Only at a shaded square
E. At any square
Answer: D
Problem: <image>Question: The picture shows the plan of a town. There are four circular bus routes in the town. Bus 1 follows the route $C D E F G H C$, which is $17 \mathrm{~km}$ long. Bus 2 goes $A B C F G H A$, and covers $12 \mathrm{~km}$. The route of bus 3 is $A B C D E F G H A$, and is equal to $20 \mathrm{~km}$. Bus 4 follows the route $C F G H C$. How long is this route?
<image1>
Choices:
A. $5 \mathrm{~km}$
B. $8 \mathrm{~km}$
C. $9 \mathrm{~km}$
D. $12 \mathrm{~km}$
E. $15 \mathrm{~km}$
Answer: C
Problem: <image>Question: Betty walked around the park once, starting from the marked point in the direction of the arrow. She took 4 pictures. In which order did she take the pictures?
<image1>
Answer: 2143
Problem: <image>Question: The new TV screens have the sides $16: 9$ and the old ones have the sides 4:3.
<image1>
We have a DVD that occupies exactly all the screen 16:9. We want to watch this film on the old 4:3 screen. If the width of the film occupies exactly the width of the old screen, then the empty part of the screen is:
Choices:
A. $\frac{1}{2}$
B. $\frac{1}{5}$
C. $\frac{1}{4}$
D. $\frac{1}{3}$
E. It depends on the size of the screen
Answer: C
Problem: <image>Question: How many faces has the object shown? (Prism with a hole)
<image1>
Answer: 8
Problem: <image>Question: The diagram shows squares of different sizes. The side length of the smallest square is $20 \mathrm{~cm}$. How long is the black line?
<image1>
Choices:
A. $380 \mathrm{~cm}$
B. $400 \mathrm{~cm}$
C. $420 \mathrm{~cm}$
D. $440 \mathrm{~cm}$
E. $1680 \mathrm{~cm}$
Answer: C
Problem: <image>Question: The different digits are build using sticks as shown. The ñweightò of a number describes the number of sticks used to build
it. How heavy is the heaviest two digit number?
<image1>
Answer: 14
Problem: <image>Question: Which of the following is made using more than one piece of string?
<image1>
Choices:
A. I, III, IV and V
B. III, IV and V
C. I, III and V
D. all
E. None of these answers
Answer: C
Problem: <image>Question: The quadrilateral on the right has the following side lengths: $A B=11, B C=$ $7, \mathrm{CD}=9$ and $\mathrm{DA}=3$. The angles at points $\mathrm{A}$ and $\mathrm{C}$ are right angles. What is the area of the quadrilateral?
<image1>
Answer: 48
Problem: <image>Question: The "tower" in the diagram on the left is made up of a sqaure, a rectangle and an equlateral triangle. Each of those three shapes has the same perimeter. The side length of the square is $9 \mathrm{~cm}$. How long is the side of the rectangle indicated?
<image1>
Choices:
A. $4 \mathrm{~cm}$
B. $5 \mathrm{~cm}$
C. $6 \mathrm{~cm}$
D. $7 \mathrm{~cm}$
E. $8 \mathrm{~cm}$
Answer: C
Problem: <image>Question: Two rectangles with measurements $8 \times 10$ and $9 \times 12$ overlap to some extend. The dark grey area is 37. What is the area of the light grey part?
<image1>
Answer: 65
Problem: <image>Question: $A B C D$ is a square with side length $10 \mathrm{~cm}$. The distance of $\mathrm{N}$ to $\mathrm{M}$ measures $6 \mathrm{~cm}$. Each area not shaded grey is either a sqaure or an isosceles triangle. How big is the area shaded in grey?
<image1>
Choices:
A. $42 \mathrm{~cm}^{2}$
B. $46 \mathrm{~cm}^{2}$
C. $48 \mathrm{~cm}^{2}$
D. $52 \mathrm{~cm}^{2}$
E. $58 \mathrm{~cm}^{2}$
Answer: C
Problem: <image>Question: In the diagram on the left the total of each row and column is given. What is the value of <image1> ?
<image2>
Answer: 3
Problem: <image>Question: The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5 ?
<image1>
<image2>
Choices:
A. A)
B. B)
C. C)
D. D)
E. E)
Answer: C
Problem: <image>Question: Kangi goes directly from the zoo to school (Schule) and counts the flowers along the way. Which of the following numbers can he not obtain this way?
<image1>
Answer: 11
Problem: <image>Question: Anna has connected all the upper and lower points with straight lines. How many lines has she drawn?
<image1>
Answer: 30
Problem: <image>Question: In the box are seven blocks. It is possible to slide the blocks around so that another block can be added to the box. What is the minimum number of blocks that must be moved?
<image1>
Answer: 2
Problem: <image>Question: lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. Along which lines were the cuts made?
<image1>
<image2>
Choices:
A. $1,3,5,7$
B. $2,4,6,8$
C. $2,3,5,6$
D. $3,4,6,7$
E. $1,4,5,8$
Answer: B
Problem: <image>Question: What is the perimeter of the figure shown (all angles are right angles)?
<image1>
Answer: 46
Problem: <image>Question: In the following figures you see five elastic bands, only one of which is tied in a knot. Which one?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: The figure should be rotated $180^{\circ}$ around point $\mathrm{F}$. What is the result?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: The numbers $1,4,7,10$ and 13 should be written into the squares so that the sum of the three numbers in the horizontal row is equal to the sum of the three numbers in the vertical column. What is the largest possible value of these sums?
<image1>
Answer: 24
Problem: <image>Question: In the adjacent picture we see that $1+3+5+7=4 \times 4$. How big is $1+3+5+7+\ldots+17+19$ ?
<image1>
Choices:
A. $10 \times 10$
B. $11 \times 11$
C. $12 \times 12$
D. $13 \times 13$
E. $14 \times 14$
Answer: A
Problem: <image>Question: Lydia draws a flower with 5 petals. She wants to colour in the flower using the colours white and black. How many different flowers can she draw with these two colours if the flower can also be just one colour?
<image1>
Answer: 8
Problem: <image>Question: What fraction of the square is grey?
<image1>
Choices:
A. $\frac{1}{3}$
B. $\frac{1}{4}$
C. $\frac{1}{5}$
D. $\frac{3}{8}$
E. $\frac{2}{9}$
Answer: A
Problem: <image>Question: The picture shows a hanging mobile. The mobile weighs 112 grams in total. (The weight of the sticks and threads is not taken into account.) How much does the star weigh?
<image1>
Choices:
A. $6 \mathrm{~g}$
B. $7 \mathrm{~g}$
C. $12 \mathrm{~g}$
D. $16 \mathrm{~g}$
E. It cannot be calculated.
Answer: B
Problem: <image>Question: In the grid, how many grey squares have to be coloured white, so that in each row and each column there is exactly one grey square?
<image1>
Answer: 6
Problem: <image>Question: A square piece of paper is cut in a straight line into two pieces. Which of the following shapes can not be created?
<image1>
Choices:
A. A Square
B. A rectangle
C. A pentagon
D. An equilateral triangle
E. A right-angled triangle
Answer: A
Problem: <image>Question: Which of the following pieces do I need to complete the cuboid?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: 1000 litres of water is passed through the water system as shown, into two identical tanks. At each junction the water separates into two equal amounts. How many litres of water end up in Tank Y?
<image1>
Answer: 750
Problem: <image>Question: A shape is made by fitting together the four pieces of card with no overlaps. Which of the following shapes is not possible?
<image1>
<image2>
Choices:
A. A)
B. B)
C. C)
D. D)
E. E)
Answer: E
Problem: <image>Question: Fridolin the hamster runs through the maze in the picture. 16 pumpkin seeds are laying on the path. He is only allowed to cross each junction once. What is the maximum number of pumpkin seeds that he can collect?
<image1>
Answer: 13
Problem: <image>Question: Nina made a wall around a square area, using 36 identical cubes. A section of the wall is shown in the picture. How many cubes will she now need to completely fill the square area.
<image1>
Answer: 64
Problem: <image>Question: Black and white tiles can be laid on square floors as shown in the pictures. We can see floors with 4 black and 9 black tiles respectively. In each corner there is a black tile, and each black tile touches only white tiles. How many white tiles would there be on a floor that had 25 black tiles?
<image1>
Answer: 56
Problem: <image>Question: The 8 corners of the shape in the picture are to be labelled with the numbers 1, 2, 3 or 4 , so that the numbers at the ends of each of the lines shown are different. How often does the number 4 appear on the shape?
<image1>
Answer: 4
Problem: <image>Question: Daniel wants to make a complete square using pieces only like those shown. What is the minimum number of pieces he must use?
<image1>
Answer: 20
Problem: <image>Question: The picture shows a rectangle with four identical triangles. Determine the total area of the triangles.
<image1>
Choices:
A. $46 \mathrm{~cm}^{2}$
B. $52 \mathrm{~cm}^{2}$
C. $54 \mathrm{~cm}^{2}$
D. $56 \mathrm{~cm}^{2}$
E. $64 \mathrm{~cm}^{2}$
Answer: D
Problem: <image>Question: Lina has already laid two shapes on a square playing board. Which of the 5 shapes can she add to the board so that none of the remaining four shapes will have space to fit.
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: A blackboard has a total unfolded length of $6 \mathrm{~m}$. The middle section is $3 \mathrm{~m}$ long. How long is the section labelled with a questionmark?
<image1>
Choices:
A. $1 \mathrm{~m}$
B. $1.25 \mathrm{~m}$
C. $1.5 \mathrm{~m}$
D. $1.75 \mathrm{~m}$
E. $2 \mathrm{~m}$
Answer: C
Problem: <image>Question: Which pattern will you get if you join the centres of each of the neighbouring hexagons.
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: In addition to the weight of the basket a single balloon can lift $80 \mathrm{~kg}$. 2 balloons can lift $180 \mathrm{~kg}$ in addition to the weight of the basket. How heavy is the basket?
<image1>
Choices:
A. $60 \mathrm{~kg}$
B. $50 \mathrm{~kg}$
C. $40 \mathrm{~kg}$
D. $30 \mathrm{~kg}$
E. $20 \mathrm{~kg}$
Answer: E
Problem: <image>Question: Which three puzzle pieces do you need to complete the large puzzle?
<image1>
Choices:
A. 1, 3, 4
B. 1, 3, 6
C. 2, 3, 5
D. 2, 3, 6
E. 2, 5, 6
Answer: D
Problem: <image>Question: Lisa built a large cube out of 8 smaller ones. The small cubes have the same letter on each of their faces (A,B,C or D). Two cubes with a common face always have a different letter on them. Which letter is on the cube that cannot be seen in the picture?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. The picture is not possible.
Answer: B
Problem: <image>Question: The figure on the right has a perimeter of $42 \mathrm{~cm}$. The figure was made from eight equally sized squares. What is the area of the figure?
<image1>
Choices:
A. $8 \mathrm{~cm}^{2}$
B. $9 \mathrm{~cm}^{2}$
C. $24 \mathrm{~cm}^{2}$
D. $72 \mathrm{~cm}^{2}$
E. $128 \mathrm{~cm}^{2}$
Answer: D
Problem: <image>Question: The upper coin rolls without sliding around the fixed lower coin. Which position will the two coins have afterwards?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: The numbers 1 to 7 should be written in the small circles so that the sum of the numbers along each line is the same. Which number should be written in the uppermost circle on the triangle?
<image1>
Answer: 4
Problem: <image>Question: Four cogs are connected to each other as shown in the picture. The first has 30 teeth, the second 15, the third 60 and the fourth 10 . How many turns will the last cog make for each full turn of the first cog?
<image1>
Answer: 3
Problem: <image>Question: A regular octagon is folded three times down the middle as shown, until a triangle is formed. Then the rightmost corner is cut away. Which of the following shapes is formed when the paper is unfolded?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: Both the figures on the right were made out of the same 5 pieces. The rectangle has dimensions $5 \mathrm{~cm} \times 10 \mathrm{~cm}$. The other pieces are quarter circles with 2 different sized radii. What is the difference between the perimeters of the two figures?
<image1>
Choices:
A. $2.5 \mathrm{~cm}$
B. $5 \mathrm{~cm}$
C. $10 \mathrm{~cm}$
D. $15 \mathrm{~cm}$
E. $20 \mathrm{~cm}$
Answer: E
Problem: <image>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?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: What's the final answer?
<image1>
Answer: 6