Split (2)

standard · 109k rows

level int32	language string	text_only bool	id string	text string	label string
2	eng	true	lvl-2_2019_12	12. We write the first six odd numbers, one on each face of a die that was blank. Toni rolls the die three times and adds up the results. Which of the following results cannot be the sum?	E
2	eng	true	lvl-2_2019_13	13. Normally, the Cookie Monster eats a pack of 5 cookies every day. However, if the Monster is very hungry, on that day he eats two full packs. If the Monster has eaten 60 cookies over 9 days, how many days has he been very hungry?	E
2	eng	true	lvl-2_2019_14	14. Ernest has square pieces, all of the same size, some white and others black. With all of them, he has constructed a larger square in such a way that all the pieces on the edges are black, and the others are white. If he has used 24 black pieces, how many white pieces has he used?	E
2	eng	false	lvl-2_2019_15	15. A hallway has the shape and dimensions shown in the figure. A cat walks along the dashed line, from M to N, staying exactly in the center of the hallway the entire time. What distance will it cover?	C
2	eng	false	lvl-2_2019_16	16. Sixteen strips of paper are linked together, forming a weave that, when viewed from the front, looks like the figure on the right. How does the weave look if viewed from the back?	D
2	eng	true	lvl-2_2019_17	17. In a daycare center, there are 14 girls and 12 boys. If half of the children go out to the playground, what is the minimum number of them that we can be sure are girls?	D
2	eng	true	lvl-2_2019_19	19. A group of Kangaroo enthusiasts calls their mascot "rugnac" a curious animal they have designed. A friend arrives and asks them: How many legs do six kittens and seven rugnacs have in total? She gets the answers 44, 51, 64, 76, and 80, because she knows that four of them told her a lie and one told the truth. How ...	C
2	eng	false	lvl-2_2019_2	2. The Mayans represented numbers with dots and lines. They used one symbol for 1 and another symbol for 5. How did they represent 17?	B
2	eng	false	lvl-2_2019_20	20. In the figure, you can see some disordered books. To rearrange them, we pick up two misplaced books, one in each hand, and swap them. What is the minimum number of successive swaps needed to arrange them from 1 to 9, from left to right?	B
2	eng	false	lvl-2_2019_21	21. Using blocks that measure 1 cm × 1 cm × 2 cm, Joana has made the four constructions shown in the image. What height will the construction made in this way with 28 blocks have?	D
2	eng	false	lvl-2_2019_22	22. In the subtraction of two four-digit numbers indicated to you, some digits are represented by letters (a, b, c, d). What is the value of a + b + c + d?	C
2	eng	false	lvl-2_2019_23	23. The large equilateral triangle in the figure is divided into eleven equilateral triangles. The side of the small gray triangle measures 1 m. What is the length of the side of the black triangle?	A
2	eng	true	lvl-2_2019_24	24. We have built a metal structure. It consists of two cubes of different sizes, placed one inside the other, with the edges made of wire. Additionally, each vertex of one cube is connected to a vertex of the other cube, also with wire. How many wires make up this structure?	C
2	eng	false	lvl-2_2019_27	27. On each face of the cube in the image, there is a natural number written. The products of the pairs of numbers found on opposite faces are equal in all three cases. What is the smallest sum that the six numbers on the cube can have?	A
2	eng	false	lvl-2_2019_29	29. Five equal squares are divided into smaller squares. Which of the squares has the largest area painted black?	E
2	eng	false	lvl-2_2019_3	3. Paula and Pau have built a sandcastle and decorated it with a flag. They have stuck the flag into the sand at the highest point of the castle, and exactly half of the pole is buried. The highest part of the pole is 80 cm above the ground, and the lowest part of the pole is 20 cm above the ground. What is the height ...	E
2	eng	false	lvl-2_2019_4	4. The figure shows a numeric puzzle known as the factorization puzzle. Which piece should we place in the empty spot of the figure?	D
2	eng	false	lvl-2_2019_6	6. Taking as a base each side of a regular hexagon with an area of 2 cm², we construct six equilateral triangles outward from the hexagon. What is the total area of the star that has been drawn (gray area plus white area)?	A
2	eng	false	lvl-2_2019_9	9. Patricia folds a sheet of paper in half twice and then cuts it, as shown in the figure. How many pieces of paper will she end up with?	E
2	eng	false	lvl-2_2020_1	1. Which tile is missing?	B
2	eng	false	lvl-2_2020_11	11. All the numbers from 1 to 10 are placed in small circles, one number per circle, as shown in the figure. The sum of two numbers in adjacent circles is equal to the sum of the numbers in diametrically opposite circles. What number is in the circle marked with a question mark?	A
2	eng	false	lvl-2_2020_14	14. Maria has exactly 10 white cubes, 9 gray cubes, and 8 black cubes, all of the same size. She sticks all these cubes together to build a larger cube. What cube has she built?	D
2	eng	false	lvl-2_2020_15	15. The following diagram shows the friendship between Anna, Berta, Carla, Diana, Elisabeth, and Flor. Each line connecting two girls represents that they are friends. Carla, Diana, and Flor have four friends. Carla and Diana are friends with Berta. And Berta has no other friends. Which of the images represents Flor?	A
2	eng	false	lvl-2_2020_16	16. We have five paths to go from X to Y marked with a thick line. Which of the paths is the shortest?	C
2	eng	false	lvl-2_2020_18	18. Jordi has two wire pieces identical to the one shown in the drawing on the right. Which of the following figures CANNOT be formed by joining the two pieces?	A
2	eng	false	lvl-2_2020_20	20. Núria pours the same amount of liquid into three box-shaped containers with all rectangular faces. The figure on the right shows the front view, and it can be seen that all three have the same width and height, but the liquid has reached different levels because the third dimension is different. Which of the follow...	D
2	eng	false	lvl-2_2020_21	21. How will the object in the figure on the right appear if we look at it from above?	E
2	eng	false	lvl-2_2020_22	22. Which key would be impossible to divide into three different shapes, each consisting of five shaded squares?	D
2	eng	true	lvl-2_2020_23	23. We say that a three-digit number is beautiful if the middle digit is greater than the sum of the other two digits. What is the largest number of consecutive beautiful numbers that we can find?	C
2	eng	false	lvl-2_2020_24	24. Inside a square, we have drawn three attached squares. Based on the measurements indicated in the figure, calculate the length of the segment marked with the question mark.	E
2	eng	false	lvl-2_2020_26	26. Which of the response options balances the third weighing on the scales in the figure?	E
2	eng	true	lvl-2_2020_28	28. In a chess tournament, Magnus has to play 15 games. At a certain point, of the games he has played, he has won half, lost a third, and 2 have ended in a draw. How many games does Magnus still have left to play?	A
2	eng	false	lvl-2_2020_3	3. The square on the right is made up of small white and gray squares. What would this square look like if the colors were swapped?	C
2	eng	true	lvl-2_2020_4	Miquel wants to prepare 24 muffins for his birthday party. To bake six muffins, two eggs are needed. Eggs are sold in boxes of 6. How many boxes does Miquel need to buy, at a minimum?	A
2	eng	false	lvl-2_2020_5	5. Flora places the letter F in front of two mirrors as shown in the image on the right. What will the reflected images look like?	E
2	eng	false	lvl-2_2020_6	6. Quim has several chains of lengths 5 and 7. If he joins chains side by side, he can create chains of different lengths. Which of these lengths is impossible to achieve?	D
2	eng	true	lvl-2_2020_7	Maria has 10 sheets of paper. She cuts some of the sheets into five parts each. After that, Maria has a total of 22 pieces. How many sheets has she cut?	B
2	eng	true	lvl-2_2020_8	8. Four baskets contain 1, 4, 6, and 9 apples, respectively. What is the minimum number of apples that need to be moved between baskets so that each basket has the same number of apples?	D
2	eng	false	lvl-2_2020_9	9. Cristina colors each region of the plate with red, blue, or yellow. She paints neighboring regions with different colors. If she colors the outer ring of the plate blue, how many regions will end up being blue?	D
2	eng	true	lvl-2_2021_11	11. The number 5021972970 is written on a sheet of paper. Júlia wants to cut the sheet twice so that she obtains three separate numbers, one on each piece of paper. What is the smallest sum she can achieve by adding these three numbers?	B
2	eng	false	lvl-2_2021_16	16. Three rectangles of the same height are placed side by side, as shown in the figure. Inside each of the three rectangles, the respective areas are indicated in cm². If segment AB is 6 cm, what is the length of segment CD in cm?	E
2	eng	false	lvl-2_2021_18	18. Maria has four white pieces and Berta has four gray ones. Each of them has placed a piece in turns, and they have built two stacks. If Maria placed the first piece, which pair of stacks could not have been built in this game?	D
2	eng	false	lvl-2_2021_19	19. My little brother locks the bicycle with a four-digit wheel lock. On each position, the digits range from 0 to 9. Once he has locked it, he rotates each wheel in the same direction and by the same number of positions. After doing this, the number 6348 is visible. Which of these combinations is definitely not the co...	B
2	eng	false	lvl-2_2021_25	25. The figure on the right shows the initial position of three gears, one with 10 teeth and the other two with 13 teeth. Each gear has one black tooth. Which of the following images shows the position of the gears, indicated by the black teeth, when the smallest gear of the three has completed exactly one full turn in...	B
2	eng	false	lvl-2_2021_26	26. We have a square board of 6 × 6 on which we have painted three squares gray. How many more squares do we need to paint to make the board with the gray squares have four axes of symmetry?	E
2	eng	true	lvl-2_2021_27	27. We asked three pirates how many coins and diamonds their friend Barbaroja has. Each of them told the truth about one thing and lied about the other. Their answers were as follows: Pirate 1: 8 coins and 6 diamonds; Pirate 2: 7 coins and 4 diamonds; Pirate 3: 7 coins and 7 diamonds. What is the sum of the number ...	C
2	eng	false	lvl-2_2021_28	28. On each shelf, there is a total of 64 deciliters of apple juice. All the bottles are filled with apple juice and come in three different sizes: small, medium, and large. What is the capacity in deciliters of a medium-sized bottle?	D
2	eng	true	lvl-2_2021_29	29. We have a cube with an edge length of 7 cm. On each of the six faces of this cube, we draw, in red, the two diagonals. Then, we cut the cube into small cubes, each with an edge length of 1 cm. How many of these small cubes have red paint on at least one of their faces?	E
2	eng	false	lvl-2_2021_3	3. In how many places in the drawing are there two people holding hands, both with their left hand?	B
2	eng	true	lvl-2_2021_30	30. Ten characters have been found, each of them holding a card with a number from 1 to 10. Each card has a different number. Among the characters, some are trolls, who always lie, and the rest are elves, who always tell the truth. A visitor asked each of the characters what number was on their card; all of them respon...	D
2	eng	false	lvl-2_2021_4	4. In the square on the right, the digits from 1 to 9 are written. We form a number like this: starting where the star is, and following the line, we write the digits we encounter from left to right. In the example provided, the resulting number is 42685. With which of the following lines can the largest number be obta...	E
2	eng	false	lvl-2_2022_1	1. We have six numbered points, positioned as shown in the image on the right. We draw two triangles: one connecting the points with even numbers, and the other connecting the points with odd numbers. Which of the following five figures will we obtain?	E
2	eng	true	lvl-2_2022_10	10. In a pastry shop, chocolates are sold in three types of boxes: 5, 10, and 25 units. Toni wants to buy exactly 95 chocolates. What is the minimum number of boxes he needs to buy to achieve this?	B
2	eng	true	lvl-2_2022_13	13. The year 2022 is a special year because the digit 2 appears three times. This is the third time that the turtle Eva has lived in a year with three identical digits. How old will Eva be, at least, by the end of the year 2022?	D
2	eng	true	lvl-2_2022_14	14. Lisa has four dogs. Each of them weighs an integer number of kilograms, and no two of them weigh the same. The total weight of the four is 60 kg. Ordered by increasing weight, the third one weighs 28 kg. How much does the second one weigh?	A
2	eng	false	lvl-2_2022_15	15. The area of the square is 100 cm². What is the area of the gray figure?	B
2	eng	false	lvl-2_2022_16	16. The image on the right you a transparent sheet with a drawing. If the sheet is folded twice as indicated, what will the folded sheet look like?	A
2	eng	false	lvl-2_2022_17	17. Mohamed has built the number 2022 using 66 cubes. Then, he painted the entire outer surface yellow. How many cubes have exactly four faces painted yellow?	E
2	eng	false	lvl-2_2022_19	19. Five big elephants and four small ones are walking in a line along a path, as shown in the drawing. When they reach the intersection, each elephant turns either left or right. After all of them have passed the intersection, which of the following situations cannot occur?	C
2	eng	false	lvl-2_2022_20	20. An orthogonal water tank has dimensions of 1 × 2 × 4 m. If it rests on a face measuring 2 × 4 m, the water it contains reaches a height of 25 cm. If we tilt the tank so that the base is a face measuring 1 × 2 m, what will be the height of the water level?	D
2	eng	false	lvl-2_2022_22	22. In the image, each letter represents a positive integer, and different letters represent different numbers. The sum of the two numbers in each column is indicated below that column. What is the largest possible result of the sum of the four numbers in the first row?	C
2	eng	false	lvl-2_2022_24	24. Anna has the figure shown on the right side of the page. Which of the following figures is the same as Anna's?	D
2	eng	false	lvl-2_2022_26	26. The numbers 3, 4, 5, 6, 7 must be placed in the five circles of the diagram so that the number inside each triangle, respectively 105, 84, 168, and 210, is the product of the three numbers at its vertices. What is the sum of the three numbers at the vertices of the gray triangle?	D
2	eng	false	lvl-2_2022_27	27. Which of the response option unfoldings cannot correspond to the solid represented in the figure on the right?	B
2	eng	true	lvl-2_2022_30	30. A group of 30 people are sitting around a round table. Some of them are wearing hats. Those who are not wearing hats must tell the truth, and those who are wearing hats can either tell the truth or lie. All of the people say: "At least one of my two neighbors is wearing a hat." What is the minimum number of people ...	B
2	eng	true	lvl-2_2022_5	5. Bruna has seven tiles, each with one of the following numbers: 4, 69, 9, 51, 113, 5, and 67. She forms twelve-digit numbers by placing the tiles side by side. If she has created the smallest possible twelve-digit number, what are the last three digits of this number?	A
2	eng	false	lvl-2_2022_6	6. What fraction of a turn must the Ferris wheel rotate, in the direction indicated by the arrow, to bring the black cabin to the top of the wheel?	B
2	eng	false	lvl-2_2022_7	7. The sides of the square ABCD measure 10 cm. What is the area of the gray part?	C
2	eng	false	lvl-2_2023_10	10. Joana wants to attach the semicircle and the two circle quadrants on top of the black circle. Which of the following figures cannot be obtained?	D
2	eng	true	lvl-2_2023_12	12. Five friends try to guess how many kangaroos are in a zoo, and they have said the following numbers: 2, 4, 5, 8, and 9. The kangaroo keeper at the park tells them: One of you has guessed four too many, and another has guessed two too few. How many kangaroos are there in the park?	B
2	eng	false	lvl-2_2023_13	13. The Riera family has a tiled courtyard with square tiles of three different sizes. The smallest tiles have a perimeter of 80 cm. A snake is resting in the courtyard as shown in the figure. What is the length of the snake?	C
2	eng	false	lvl-2_2023_16	16. In the multiplication on the right, the letters A, B, C, D, and E represent different digits. If the multiplication is correct, what is the value of A + B + C?	E
2	eng	false	lvl-2_2023_17	17. In the figure, we see a large square divided into four rectangles. Lluc wants to color the four rectangles using red, blue, or yellow. Two rectangles that share a side or part of a side cannot be the same color. In how many different ways can Lluc paint the rectangles?	B
2	eng	false	lvl-2_2023_20	20. On a street 120 meters long, there are four streetlights: one at the beginning, one at the end, and two in the middle, positioned at the distances shown in the figure. What is the minimum number of new streetlights that need to be installed so that every two consecutive streetlights are equidistant?	C
2	eng	false	lvl-2_2023_22	22. Tìaha made drawings in the squares that form the pyramid in the figure, in such a way that each block contains exactly all the figures from the two blocks directly below it. However, someone has covered three squares, and we cannot directly see what they contain. What figures are in the central square of the bottom...	D
2	eng	true	lvl-2_2023_23	23. Martí has three cards with a number on each side. The first card has 1 on one side and 4 on the other; the second card has 2 and 5; and the third card has 3 and 6. Martí shuffles and flips the cards randomly, places them on the table, and adds up the three numbers that are visible. How many different sums can he ob...	D
2	eng	false	lvl-2_2023_24	24. I am sitting in front of a mirror and I see reflected a digital clock that is behind me, as shown in the figure on the right. If I remain seated in the same position in front of the mirror for the next 30 minutes, how will I see the time displayed on the clock?	D
2	eng	false	lvl-2_2023_30	30. In the country of Cangurl`andia, they have an alphabet with only three letters: K, G, R. The crossword puzzle on the right is filled with four of the following five words: KKG, KGK, GRK, RGK, and RGG (written either left to right or top to bottom). Which of the above words does not appear in the crossword puzzle?	A
2	eng	false	lvl-2_2023_4	4. Rosa has a piece of paper cut out like the figure on the right, which can be folded to form a cube. Which of the following five cubes can be obtained from Rosa's unfolded piece?	B
2	eng	false	lvl-2_2023_6	6. Anna has five discs, all of different diameters, and she wants to build a tower using four of the five discs in such a way that each disc is smaller than the one directly below it. How many different towers can Anna build?	D
2	eng	false	lvl-2_2024_1	1. Fold the figure on the right over the dotted line. Which of the following squares will match an identical square?	B
2	eng	false	lvl-2_2024_13	13. Using identical rectangles, A Rosa draws the figure on the right, which is 18 inches wide and 12 inches high. What is the area of each rectangle?	B
2	eng	false	lvl-2_2024_17	The figure shows the plan of the 7 bus lines that are in a city. The black circles indicate the stops. We want to paint the lines in colors, but they do not have to be all different colors, but only it must be fulfilled that if two lines coincide in some stop, these lines have different colors. What is the minimum numb...	A
2	eng	false	lvl-2_2024_19	19. What is the area of the grey region?	E
2	eng	false	lvl-2_2024_2	2. The Maia jumps through the boxes as shown in the image: first with her feet together, then on her left foot, then again with her feet together, then on her right foot, and so on. If the Maia continues to jump in the same pattern, which of the following boxes is it certain that she will land on only her right foot?	C
2	eng	false	lvl-2_2024_22	22. In a MNPQ square of gray paper Jesus has cut a square in each corner, with the measurements of 1 cm, 2 cm, 3 cm and 6 cm, which are shown in the image on the right. If the area of the paper figure left to him is equal to the area of the cut part, what is the perimeter of the gray figure?	B
2	eng	false	lvl-2_2024_24	24. If we deploy a cube, we have the figure on the right. When we assemble the cube, each triangle of one face is attached by one side to a triangle of the same color on the adjacent face. Which of the following squares, exactly with the orientation with which it is drawn, corresponds to the face with the question?	B
2	eng	false	lvl-2_2024_25	25. Anna wants to write the numbers from 1 to 10 in the circles of the figure, one in each circle. What number should she place in the circle with the question mark if in each branch the four numbers she writes there should add up to 23?	D
2	eng	false	lvl-2_2024_26	26. Maria writes the numbers from 1 to 8 on the vertices of a cube, such that for each face the sum of the numbers of its vertices is the same. The numbers 6, 7 and 8 are already placed. Which number will go to the vertex with the questioner?	C
2	eng	true	lvl-2_2024_27	27. A grandmother has a certain number of candies and wants to distribute them among her children, so that each one has a bag with the same number of candies. After putting in each bag the maximum possible number of candies, she sees that there are 20 in each bag and that she has 12 left. What is the minimum number of ...	C
2	eng	true	lvl-2_2024_28	28. Daniel wants to cut a rope into 12 equal pieces and marks the points where he should make the cuts. Mohamed wants to cut the same rope into 16 equal pieces and also marks the points where he should make the cuts. Then Amaia cuts the rope in all the marked points. In how many pieces does the rope cut Amaia?	A
2	eng	true	lvl-2_2024_30	LAda writes a three-digit number on the board. Then Ferran writes a fourth digit to the right of the previous three and observes that the number has increased by 2024 units. What number has Ferran written?	D
2	eng	false	lvl-2_2024_6	6. Mia wants to draw the figure on the right and the measurements that are shown. She wants to do it without lifting the pencil from the paper, although she will have to pass over some line more than once. What is the shortest total length that she can do it with?	B
2	eng	false	lvl-2_2024_7	7. Two identical rectangles, each with an area of 18 cm2, overlap to form a new rectangle with the size of three identical squares. What is the area of the new rectangle?	B
3	eng	true	lvl-3_2016_1	1. At the reception of a hotel, there is a board that displays the number of all the rooms. First floor: 101 to 110 and 123 to 133. Second floor: 202 to 241. Third floor: 300 to 333. How many rooms are there in the hotel?	D
3	eng	true	lvl-3_2016_12	12. How many two-digit numbers have the tens digit greater than the units digit?	A
3	eng	false	lvl-3_2016_15	15. We divide the rectangle ABCD into 6 squares. We paint the squares either yellow or black, ensuring that the same number of squares are painted in each color. In how many ways can we paint the rectangle ABCD?	D
3	eng	true	lvl-3_2016_19	19. Joan has two glasses: one full of water and the other empty. He pours half of the water from the first glass into the second. Then, he returns half of the water from the second glass to the first. Finally, he drinks half of the water that is now in the first glass. What fraction of the first glass remains filled wi...	D
3	eng	true	lvl-3_2016_2	2. A digital clock displays two numbers, one for the hours and the other for the minutes; for example, 16:07. It always uses two digits for the hours and two digits for the minutes. How many times a day are the hour number and the minute number displayed equal?	A
3	eng	true	lvl-3_2016_21	21. Between Antoni, Beatriu, and Clara, they have 30 balls. Beatriu gives 5 to Clara, Clara gives 4 to Antoni, and Antoni gives 2 to Beatriu, and then all three have the same number of balls. How many balls did Antoni have at the beginning?	A

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