Yuting6/geoqa-r1v-8k-rotated huggingface dataset:
Problem: <image>Question: Six congruent rhombuses, each of area $5 \mathrm{~cm}^{2}$, form a star. The tips of the star are joined to draw a regular hexagon, as shown. What is the area of the hexagon?
<image1>
Choices:
A. $36 \mathrm{~cm}^{2}$
B. $40 \mathrm{~cm}^{2}$
C. $45 \mathrm{~cm}^{2}$
D. $48 \mathrm{~cm}^{2}$
E. $60 \mathrm{~cm}^{2}$
Answer: C
Problem: <image>Question: A rectangle with perimeter $30 \mathrm{~cm}$ is divided into four parts by a vertical line and a horizontal line. One of the parts is a square of area $9 \mathrm{~cm}^{2}$, as shown in the figure. What is the perimeter of rectangle $A B C D$?
<image1>
Choices:
A. $14 \mathrm{~cm}$
B. $16 \mathrm{~cm}$
C. $18 \mathrm{~cm}$
D. $21 \mathrm{~cm}$
E. $24 \mathrm{~cm}$
Answer: C
Problem: <image>Question: Ally drew 3 triangles on a grid. Exactly 2 of them have the same area, exactly 2 of them are isosceles, and exactly 2 are right-angled triangles. 2 of the triangles are shown. Which could be the third one?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: The numbers from 1 to 6 are placed in the circles at the intersections of 3 rings. The position of number 6 is shown. The sums of the numbers on each ring are the same. What number is placed in the circle with the question mark?
<image1>
Answer: 1
Problem: <image>Question: The figure shows a semicircle with center $O$. Two of the angles are given. What is the size, in degrees, of the angle $\alpha$?
<image1>
Choices:
A. $9^{\circ}$
B. $11^{\circ}$
C. $16^{\circ}$
D. $17.5^{\circ}$
E. $18^{\circ}$
Answer: A
Problem: <image>Question: Five cars participated in a race, starting in the order shown.
<image1>. Whenever a car overtook another car, a point was awarded. The cars reached the finish line in the following order: <image2>. What is the smallest number of points in total that could have been awarded?
Answer: 6
Problem: <image>Question: A $3 \times 3$ square initially has the number 0 in each of its cells. In one step all four numbers in one $2 \times 2$ sub-square such as the shaded one, for example, are then increased by 1. This operation is repeated several times to obtain the arrangement on the right. Unfortunately, some numbers in this arrangement are hidden. What number is in the square with the question mark?
<image1>
Answer: 16
Problem: <image>Question: What is the sum of the six marked angles in the picture?
<image1>
Choices:
A. $360^{\circ}$
B. $900^{\circ}$
C. $1080^{\circ}$
D. $1120^{\circ}$
E. $1440^{\circ}$
Answer: C
Problem: <image>Question: There are eight boxes in the strip shown. Numbers in adjacent boxes have suma or $a+1$ as shown. The numbers in the first box and the eighth box are both 2021. What is the value of $a$?
<image1>
Answer: 4045
Problem: <image>Question: An ant climbs from $C$ to $A$ on path $C A$ and descends from $A$ to $B$ on the stairs, as shown in the diagram. What is the ratio of the lengths of the ascending and descending paths?
<image1>
Choices:
A. 1
B. $\frac{1}{2}$
C. $\frac{1}{3}$
D. $\frac{\sqrt{2}}{2}$
E. $\frac{\sqrt{3}}{3}$
Answer: E
Problem: <image>Question: In the $4 \times 4$ table some cells must be painted black. The numbers next to and below the table show how many cells in that row or column must be black. In how many ways can this table be painted?
<image1>
Answer: 5
Problem: <image>Question: Karo has a box of matches with 30 matches. Using some of the matches she forms the number 2022. She has already formed the first two digits (see picture). How many matches will be left in the box when she has finished the number?
<image1>
Answer: 9
Problem: <image>Question: Various symbols are drawn on a piece of paper (see picture). The teacher folds the left side along the vertical line to the right. How many symbols of the left side are now congruent on top of a symbol on the right side?
<image1>
Answer: 3
Problem: <image>Question: Karin places tables of size $2 \times 1$ according to the number of participants in a meeting. The diagram shows the table arrangements from above for a small, a medium and a large meeting. How many tables are used in a large meeting?
<image1>
Answer: 12
Problem: <image>Question: The midpoints of both longer sides of a rectangle are connected with the vertices (see diagram). Which fraction of the rectangle is shaded?
<image1>
Choices:
A. $\frac{1}{5}$
B. $\frac{1}{4}$
C. $\frac{2}{7}$
D. $\frac{1}{3}$
E. $\frac{2}{5}$
Answer: B
Problem: <image>Question: Sonja's smartphone displays the diagram on the right. It shows how long she has worked with four different apps in the previous week. This week he has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures could be the diagram for the current week?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: In the multiplication grid displayed, each white cell should show the product of the numbers in the grey cells that are in the same row and column respectively. One number is already entered. The integer $x$ is bigger than the positive integer $y$. What is the value of $y$?
<image1>
Answer: 6
Problem: <image>Question: Five squares and two right-angled triangles are placed as shown in the diagram. The numbers 3, 8 and 22 in the squares state the size of the area in $\mathrm{m}^{2}$. How big is the area (in $\mathrm{m}^{2}$ ) of the square with the question mark?
<image1>
Answer: 17
Problem: <image>Question: The diagram shows three big circles of equal size and four small circles. Each small circle touches two big circles and has radius 1. How big is the shaded area?
<image1>
Choices:
A. $\pi$
B. $2 \pi$
C. $3 \pi$
D. $4 \pi$
E. $6 \pi$
Answer: B
Problem: <image>Question: A bee called Maja wants to hike from honeycomb $X$ to honeycomb $Y$. She can only move from one honeycomb to the neighbouring honeycomb if they share an edge. How many, different ways are there for Maja to go from $X$ to $Y$ if she has to step onto every one of the seven honeycombs exactly once?
<image1>
Answer: 5
Problem: <image>Question: The rectangle $A B C D$ is made up of 12 congruent rectangles (see diagram). How big is the ratio $\frac{A D}{D C}$?
<image1>
Choices:
A. $\frac{8}{9}$
B. $\frac{5}{6}$
C. $\frac{7}{8}$
D. $\frac{2}{3}$
E. $\frac{9}{8}$
Answer: A
Problem: <image>Question: There are three paths running through our park in the city (see diagram). A tree is situated in the centre of the park. What is the minimum number of trees that have to be planted additionally so that there are the same number of trees on either side of each path?
<image1>
Answer: 3
Problem: <image>Question: The diagram shows a square $P Q R S$ with side length 1. The point $U$ is the midpoint of the side $R S$ and the point $W$ is the midpoint of the square. The three line segments, $T W, U W$ and $V W$ split the square into three equally big areas. How long is the line segment $S V$?
<image1>
Choices:
A. $\frac{1}{2}$
B. $\frac{2}{3}$
C. $\frac{3}{4}$
D. $\frac{4}{5}$
E. $\frac{5}{6}$
Answer: E
Problem: <image>Question: Veronika wears five rings as shown. How many, different ways are there for her to take off the rings one by one?
<image1>
Answer: 20
Problem: <image>Question: One square is drawn inside each of the two congruent isosceles right-angled triangles. The area of square $P$ is 45 units. How many units is the area of square R?
<image1>
Answer: 40
Problem: <image>Question: Twelve weights have integer masses of $1 \mathrm{~g}, 2 \mathrm{~g}, 3 \mathrm{~g}, \ldots, 11 \mathrm{~g}$ and $12 \mathrm{~g}$ respectively. A vendor divides those weights up into 3 groups of 4 weights each. The total mass of the first group is $41 \mathrm{~g}$, the mass of the second group is $26 \mathrm{~g}$ (see diagram). Which of the following weights is in the same group as the weight with $9 \mathrm{~g}$?
<image1>
Choices:
A. $3 \mathrm{~g}$
B. $5 \mathrm{~g}$
C. $7 \mathrm{~g}$
D. $8 \mathrm{~g}$
E. $10 \mathrm{~g}$
Answer: C
Problem: <image>Question: The diagonals of the squares $A B C D$ and $E F G B$ are $7 \mathrm{~cm}$ and $10 \mathrm{~cm}$ long respectively (see diagram). The point $P$ is the point of intersection of the two diagonals of the square $A B C D$. How big is the area of the triangle $F P D$ (in $\mathrm{cm}^{2}$)?
<image1>
Answer: 17.5
Problem: <image>Question: Consider the five circles with midpoints $A, B, C, D$ and $E$ respectively, which touch each other as displayed in the diagram. The line segments, drawn in, connect the midpoints of adjacent circles. The distances between the midpoints are $A B=16, B C=14, C D=17, D E=13$ and $A E=14$ Which of the points is the midpoint of the circle with the biggest radius?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: A hemispheric hole is carved into each face of a wooden cube with sides of length 2. All holes are equally sized, and their midpoints are in the centre of the faces of the cube. The holes are as big as possible so that each hemisphere touches each adjacent hemisphere in exactly one point. How big is the diameter of the holes?
<image1>
Choices:
A. 1
B. 2
C. $\sqrt{2}$
D. $\frac{3}{2}$
E. $\sqrt{\frac{3}{2}}$
Answer: C
Problem: <image>Question: A dark disc with two holes is placed on the dial of a watch as shown in the diagram. The dark disc is now rotated so that the number 10 can be seen through one of the two holes. Which of the numbers could one see through the other hole now? <image1>
Choices:
A. 2 and 6
B. 3 and 7
C. 3 and 6
D. 1 and 9
E. 2 and 7
Answer: A
Problem: <image>Question: On her way to school Maria first had to run to the underground, she exited from that after two stops and subsequently walked the rest of the way by foot all the way to school. Which of the following speed-time-diagrams best describes her journey to school?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: A small square with side length $4 \mathrm{~cm}$ is drawn within a big square with side length $10 \mathrm{~cm}$; their sides are parallel to each other (see diagram). What percentage of the figure is shaded? <image1>
Choices:
A. $25 \%$
B. $30 \%$
C. $40 \%$
D. $42 \%$
E. $45 \%$
Answer: D
Problem: <image>Question: The big rectangle shown is divided into 30 equally big squares. The perimeter of the area shaded in grey is $240 \mathrm{~cm}$. How big is the area of the big rectangle? <image1>
Choices:
A. $480 \mathrm{~cm}^{2}$
B. $750 \mathrm{~cm}^{2}$
C. $1080 \mathrm{~cm}^{2}$
D. $1920 \mathrm{~cm}^{2}$
E. $2430 \mathrm{~cm}^{2}$
Answer: D
Problem: <image>Question: A straight wooden fence is made up of vertical beams stuck in the ground which are each connected to the next beam by 4 horizontal beams. The fence begins and ends with a vertical beam. Out of how many beams could such a fence be made? <image1>
Choices:
A. 95
B. 96
C. 97
D. 98
E. 99
Answer: B
Problem: <image>Question: The diagram shows three adjacent squares with side lengths $3 \mathrm{~cm}, 5 \mathrm{~cm}$ and $8 \mathrm{~cm}$. How big is the area of the shaded in trapezium? <image1>
Choices:
A. $13 \mathrm{~cm}^{2}$
B. $\frac{55}{4} \mathrm{~cm}^{2}$
C. $\frac{61}{4} \mathrm{~cm}^{2}$
D. $\frac{65}{4} \mathrm{~cm}^{2}$
E. $\frac{69}{4} \mathrm{~cm}^{2}$
Answer: B
Problem: <image>Question: The points $M$ and $N$ are the midpoints of two sides of the big rectangle (see diagram). Which part of the area of the big rectangle is shaded? <image1>
Choices:
A. $\frac{1}{6}$
B. $\frac{1}{5}$
C. $\frac{1}{4}$
D. $\frac{1}{3}$
E. $\frac{1}{2}$
Answer: C
Problem: <image>Question: The pentagon $A B C D E$ is split into four triangles that all have the same perimeter (see diagram). Triangle $A B C$ is equilateral and the triangles $A E F, D F E$ and $C D F$ are congruent isosceles triangles. How big is the ratio of the perimeter of the pentagon $A B C D E$ to the perimeter of the triangle $A B C$ ? <image1>
Choices:
A. 2
B. $\frac{3}{2}$
C. $\frac{4}{3}$
D. $\frac{5}{3}$
E. $\frac{5}{2}$
Answer: D
Problem: <image>Question: A tower consists of blocks that are labelled from bottom to top with the numbers from 1 to 90 . Bob uses these blocks to build a new tower. For each step he takes the top three blocks from the old tower and places them on the new tower without changing their order (see diagram). How many blocks are there in the new tower between the blocks with the numbers 39 and 40 ? <image1>
Answer: 4
Problem: <image>Question: A staircase has 2023 steps. Every third step is coloured in black. The first seven steps of this staircase can be fully seen in the diagram. Anita walks up the staircase and steps on each step exactly once. She can start with either the right or the left foot and then steps down alternately with the right or left foot. What is the minimum number of black steps she sets her right foot on? <image1>
Answer: 337
Problem: <image>Question: A square with side length $30 \mathrm{~cm}$ is split into 9 squares. The big square contains three circles with radii $5 \mathrm{~cm}$ (bottom right), $4 \mathrm{~cm}$ (top left) as well as $3 \mathrm{~cm}$ (top right) as seen in the diagram. How many $\mathrm{cm}^{2}$ are shaded in grey?
<image1>
Answer: 500
Problem: <image>Question: The numbers from 1 to 9 should be distributed among the 9 squares in the diagram according to the following rules: <image1> There should be one number in each square. The sum of three adjacent numbers is always a multiple of 3 . The numbers 3 and 1 are already placed. How many ways are there to place the remaining numbers?
Answer: 24
Problem: <image>Question: How many different ways are there to read the word BANANA in the following table if we can only cross to a field that shares an edge with the current field and we can use fields several times? <image1>
Answer: 128
Problem: <image>Question: Seven pairwise different single-digit numbers are distributed among the circles shown so that the product of the three numbers that are connected by a straight line is the same in all three cases. Which number is written in the circle with the question mark? <image1>
Answer: 2
Problem: <image>Question: Consider the two touching semicircles with radius 1 and their diameters $A B$ and $C D$ respectively that are parallel to each other. The extensions of the two diameters are also tangents to the respective other semicircle (see diagram). How big is the square of the length $A D$ ? <image1>
Choices:
A. 16
B. $8+4 \sqrt{3}$
C. 12
D. 9
E. $5+2 \sqrt{3}$
Answer: B
Problem: <image>Question: Leon has drawn a closed loop on the surface of a cuboid.
Which net cannot show his loop? <image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: The diagram shows the map of a big park. The park is split into several sections and the number in each section states its perimeter in $\mathrm{km}$. How big is the perimeter of the entire park in $\mathrm{km}$ ? <image1>
Answer: 26
Problem: <image>Question: This piece of paper was folded in half twice, and then had two equilateral triangles cut out of it. Which diagram shows how the paper will look when it is unfolded again? <image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: For a hexagon (with six sides like these) the greatest possible number of interior right-angles is:
<image1>
Answer: 5
Problem: <image>Question: There used to be 5 parrots in my cage. Their average value was $€ 6000$. One day while I was cleaning out the cage the most beautiful parrot flew away. The average value of the remaining four parrots was $€ 5000$. What was the value of the parrot that escaped? <image1>
Choices:
A. $€ 1000$
B. $€ 2000$
C. $€ 5500$
D. $€ 6000$
E. $€ 10000$
Answer: E
Problem: <image>Question: The net on the right can be cut out and folded to make a cube. Which face will then be opposite the face marked $\mathbf{x}$ ? <image1>
Choices:
A. a
B. b
C. c
D. d
E. e
Answer: E
Problem: <image>Question: A transparent square sheet of film lies on a table. The letter $\mathbf{Y}$ is drawn (like this) on the sheet. We turn the sheet clockwise through $90^{\circ}$, then turn it over what is now the left edge of the sheet, and then turn it through $180^{\circ}$. Which figure can we now see?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Jeffrey fires three arrows at each of four archery targets. He scores 29 points on the first target, 43 on the second and 47 on the third. How many points does Jeffrey score on the fourth target? <image1>
Answer: 36
Problem: <image>Question: Two squares of the same size, and with their edges parallel, cover a circle with a radius of $3 \mathrm{~cm}$, as shown. In square centimetres, what is the total shaded area? <image1>
Choices:
A. $8(\pi-1)$
B. $6(2 \pi-1)$
C. $(9 \pi-25)$
D. $9(\pi-2)$
E. $\frac{6\pi}{5}$
Answer: D
Problem: <image>Question: A cuboid has been built using 3 shapes (not necessarily different) each made from 4 little cubes as shown. The shape shaded black is completely visible, but both of the others are only partially visible. Which of the following shapes is the unshaded one? <image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: In a rectangle $A B C D$, the points $P, Q, R$ and $S$ are the midpoints of sides $A B, B C, C D$ and $A D$ respectively, and $T$ is the midpoint of the line $R S$. What fraction of the area of $A B C D$ is the triangle $P Q T$ ? <image1>
Choices:
A. $\frac{5}{16}$
B. $\frac{1}{4}$
C. $\frac{1}{5}$
D. $\frac{1}{6}$
E. $\frac{3}{8}$
Answer: B
Problem: <image>Question: Carl tries to divide the large shape of squares into smaller pieces using only copies of the T-piece and the F-piece shown on the right. (Pieces may be turned over or around.) What is the smallest possible number of the T-pieces that he can achieve? <image1>
Answer: 2
Problem: <image>Question: In the diagram the large square is divided into 25 smaller squares. Adding up the sizes of the five angles $X P Y, X Q Y, X R Y, X S Y$ and $X T Y$, what total is obtained? <image1>
Choices:
A. $30^{\circ}$
B. $45^{\circ}$
C. $60^{\circ}$
D. $75^{\circ}$
E. $90^{\circ}$
Answer: B
Problem: <image>Question: The diagram shows a spiral of isosceles triangles. The largest angle in each of the triangles is $100^{\circ}$. The grey triangle is number 0 . Each of the following triangles (numbered 1, 2, 3, ...) join by one edge to the previous one, as shown. As you can see triangle 3 only partially covers triangle 0. What is the number of the first triangle that exactly covers triangle 0 ? <image1>
Answer: 18
Problem: <image>Question: In triangle $ABC, AB=AC, AE=AD$ and angle $BAD=30^{\circ}$. What is the size of angle $CDE$ ? <image1>
Choices:
A. $10^{\circ}$
B. $15^{\circ}$
C. $20^{\circ}$
D. $25^{\circ}$
E. $30^{\circ}$
Answer: B
Problem: <image>Question: In order to get 50 in the last box of the following chain, what positive number do you have to start with?
<image1>
Answer: 42
Problem: <image>Question: Roo has 16 cards: 4 spades ( $(\boldsymbol{*}), 4$ clubs ( $*$ ), 4 diamonds ( $\bullet$ ) and 4 hearts $(\boldsymbol{v})$. He wants to place them in the square shown, so that every row and every column has exactly one card of each suit. The diagram shows how Roo started. How many of the 4 cards can be put in place of the question mark?
<image1>
Answer: 2
Problem: <image>Question: The diagram shows a net of a cube, with three dotted lines added. If you folded the net into a cube and then cut along the dotted lines you would have a hole in the cube. What would be the shape of the hole? <image1>
Choices:
A. an equilateral triangle
B. a rectangle, but not a square
C. a right-angled triangle
D. a square
E. a hexagon
Answer: A
Problem: <image>Question: A chain is made from circular links, with external radius $3 \mathrm{~cm}$ and internal radius $2 \mathrm{~cm}$, as shown in the diagram. The length of the chain is $1.7 \mathrm{~m}$.
<image1>
How many rings are used?
Answer: 42
Problem: <image>Question: The diagram shows a square $A B C D$ and two semicircles with diameters $A B$ and $A D$.
<image1>
If $A B=2$, what is the area of the shaded region?
Answer: 2
Problem: <image>Question: Alfonso the Ostrich has been training for the Head in the Sand Competition in the Animolympiad. He buried his head in the sand last week and pulled it out at 8.15 am on Monday to find he had reached a new personal record - he had been underground for 98 hours and 56 minutes. When did Alfonso bury his head in the sand? <image1>
Choices:
A. On Thursday at 5.19 am
B. On Thursday at $5.41 \mathrm{am}$
C. On Thursday at $11.11 \mathrm{am}$
D. On Friday at 5.19 am
E. On Friday at 11.11 am
Answer: A
Problem: <image>Question: Boris has a big box of building bricks. Each brick is $1 \mathrm{~cm}$ long, $2 \mathrm{~cm}$ wide and $3 \mathrm{~cm}$ high. What is the smallest number of bricks he would need to build a cube? <image1>
Answer: 36
Problem: <image>Question: In a square with sides of length $6 \mathrm{~cm}$ the points $A$ and $B$ are on one of the axes of symmetry, as shown. The shaded area is equal to each of the two unshaded areas.
<image1>
What is the length of $A B$ ?
Choices:
A. $3.6 \mathrm{~cm}$
B. $3.8 \mathrm{~cm}$
C. $4.0 \mathrm{~cm}$
D. $4.2 \mathrm{~cm}$
E. $4.4 \mathrm{~cm}$
Answer: C
Problem: <image>Question: Consecutive numbers have been entered diagonally criss-crossing the square on the right. Which of the following numbers could $x$ not be? <image1>
Choices:
A. 128
B. 256
C. 81
D. 121
E. 400
Answer: A
Problem: <image>Question: In the diagram on the right, the triangle is equilateral.
<image1>
What is the area of the large circle divided by the area of the small circle?
Answer: 16
Problem: <image>Question: In the diagram, $A B C D$ is a parallelogram. If $A A_{1}=4 \mathrm{~cm}, D D_{1}=5 \mathrm{~cm}$ and $C C_{1}=7 \mathrm{~cm}$, what is the length of $B B_{1}$ ? <image1>
Choices:
A. $9 \mathrm{~cm}$
B. $11 \mathrm{~cm}$
C. $12 \mathrm{~cm}$
D. $16 \mathrm{~cm}$
E. $21 \mathrm{~cm}$
Answer: D
Problem: <image>Question: The diagram shows a cube with edges of length $12 \mathrm{~cm}$. An ant crawls from the point $P$ to the point $Q$ along the route shown. What is the length of the ant's path? <image1>
Choices:
A. $40 \mathrm{~cm}$
B. $48 \mathrm{~cm}$
C. $50 \mathrm{~cm}$
D. $60 \mathrm{~cm}$
E. more information is needed
Answer: D
Problem: <image>Question: The diagram shows the ground plan of a room. Adjoining walls are perpendicular to each other. The letters $a$ and $b$ on the plan show the lengths of some of the walls. What is the area of the room? <image1>
Choices:
A. $3 a b+a^{2}$
B. $8 a+2 b$
C. $3 a b-a^{2}$
D. $b^{2}-a^{2}$
E. $3 a b$
Answer: E
Problem: <image>Question: Which of the following cubes can be folded from the net on the right?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: The diagram shows an equilateral triangle and a regular pentagon. What is the value of $x$ ? <image1>
Answer: 132
Problem: <image>Question: The diagram shows a length of string wound over and under $n$ equal circles. The sum of the diameters of the circles is $d \mathrm{~cm}$. What is the length of the string in $\mathrm{cm}$ ?
<image1>
Choices:
A. $\frac{1}{2} \pi d$
B. $\pi d n$
C. $2 \pi d n$
D. $\pi d$
E. $d n$
Answer: A
Problem: <image>Question: Two rectangles $A B C D$ and $D B E F$ are shown in the diagram. What is the area of the rectangle $D B E F$ ? <image1>
Choices:
A. $10 \mathrm{~cm}^{2}$
B. $12 \mathrm{~cm}^{2}$
C. $13 \mathrm{~cm}^{2}$
D. $14 \mathrm{~cm}^{2}$
E. $16 \mathrm{~cm}^{2}$
Answer: B
Problem: <image>Question: Five straight lines intersect at a common point and five triangles are constructed as shown. What is the total of the 10 angles marked on the diagram? <image1>
Choices:
A. $300^{\circ}$
B. $450^{\circ}$
C. $360^{\circ}$
D. $600^{\circ}$
E. $720^{\circ}$
Answer: E
Problem: <image>Question: Gregor's computer is tracing out a path in the first quadrant as shown in the diagram. In the first second the computer draws the line from the origin to $(1,0)$ and after that it continues to follow the directions indicated in the diagram at a speed of 1 unit length per second.
Which point will the traced path reach after exactly 2 minutes? <image1>
Choices:
A. $(10,0)$
B. $(1,11)$
C. $(10,11)$
D. $(2,10)$
E. $(11,11)$
Answer: A