level int32 | language string | text_only bool | image image | id string | text string | label string |
|---|---|---|---|---|---|---|
1 | eng | true | lvl-1_2020_23 | 23. In a family, the mother is 36 years old and has two sons, aged 13 and 4, and a daughter, aged 6. How many years must pass for the sum of the ages of the two sons and the daughter to exceed the mother's age? | C | |
1 | eng | false | lvl-1_2020_3 | 3. You can build different figures using the pieces you see on the right.
Which of the following figures can you build? | E | |
1 | eng | false | lvl-1_2020_5 | 5. Carles has the 7 gray pieces that you can see in the figure. He wants to cover the grid, which you can also see, consisting of 17 squares, using the maximum number of pieces possible without overlapping any. How many pieces will he use? | C | |
1 | eng | true | lvl-1_2020_9 | Clàudia has 10 sheets of paper. She cuts some of the sheets into five parts each. After that, Clàudia has a total of 22 pieces. How many sheets has she cut? | A | |
1 | eng | false | lvl-1_2021_13 | 13. We have eighteen black, white, and gray cubes that make up a rectangular prism. The images on the right show the white and black parts that form it. Which of the following images corresponds to the gray part? | C | |
1 | eng | true | lvl-1_2021_16 | 16. The kangaroo had, for lunch, three branches with 20 leaves each. It ate some leaves from the first branch. Then, from the second branch, it ate as many leaves as were left on the first branch. Finally, from the third branch, it ate two leaves. How many uneaten leaves were left across the three branches? | E | |
1 | eng | false | lvl-1_2021_2 | 2. If we pull the rope, how many fish will have their heads pointing towards the ring? | C | |
1 | eng | false | lvl-1_2021_20 | 20. We have the seven cards shown in the image. Each card has two numbers, one written upright and the other upside down. The teacher wants to flip one card upside down so that the sum of the numbers on the top matches the sum of the numbers on the bottom. Which card should she flip? | E | |
1 | eng | true | lvl-1_2021_21 | 21. A box contains fewer than 50 cookies. These cookies can be evenly distributed among 2, 3, or 4 children. However, 6 more cookies would be needed to distribute them evenly among 7 children. How many cookies are in the box? | D | |
1 | eng | false | lvl-1_2021_22 | 22. Elena wants to write all the numbers from 1 to 9 in the squares we see.
The arrows go from a smaller number to a larger number. So far, she has written 5 and 7. What number will she need to place where the question mark is? | D | |
1 | eng | false | lvl-1_2021_24 | 24. Three rectangles of the same height are placed as shown in the figure. Inside the rectangles, their respective areas are indicated. If segment AB measures 6 cm, how long is segment CD? | C | |
1 | eng | false | lvl-1_2021_3 | 3. Laia draws a sun like the one you have on the right. Which of the answer options is not part of her drawing? | D | |
1 | eng | false | lvl-1_2021_4 | 4. We wrap a measuring tape around a cylinder, as shown in the figure on the right. What number will appear at the spot where the question mark is? | C | |
1 | eng | false | lvl-1_2021_5 | 5. Rosanna is going to buy a volleyball. There are three types.
Each type is a different color and has a different price. When she asks about the prices, they show her the sign on the right. If Rosanna finally decides to buy a black volleyball, how much will it cost her? | C | |
1 | eng | false | lvl-1_2021_7 | 7. In the square on the right, the digits from 1 to 9 are written. We form a number by starting where the star is and following the line, writing the digits we encounter from left to right. In the example on the right, the resulting number is 42685. Which of the following lines forms the largest number? | E | |
1 | eng | true | lvl-1_2021_8 | 8. At the kiosk, they sell all the comics at the same price, and at the start of the day, they already had money in the cash register.
After selling 6 comics, they have €70 in the cash register. By the end of the day, they have sold a total of 16 comics, and there is €120 in the cash register. How much money was in t... | C | |
1 | eng | false | lvl-1_2022_1 | 1. Choose the correct sequence of movements to help the bee reach the flower. | D | |
1 | eng | false | lvl-1_2022_10 | 10. Aladdin's carpet is square-shaped. Each side of this carpet has the same number of dots arranged in two rows. How many dots are there on this carpet? | E | |
1 | eng | true | lvl-1_2022_11 | 11. The students in a class are seated in rows. There is the same number of students in each row. There are 2 rows of students in front of Robert, 1 row of students behind him, 3 students to his left, and 5 students to his right. How many students are there in this class? | E | |
1 | eng | false | lvl-1_2022_12 | 12. The cube in the image on the right has been built using the three types of wooden blocks shown further to the left. How many white wooden blocks have been used? | B | |
1 | eng | true | lvl-1_2022_13 | 13. Three football teams participate in a tournament. Each team plays only once against the other two.
In each match, the winner earns 3 points, and the loser earns none. In the case of a draw, each team earns 1 point.
After all the matches, what number of points can no team have obtained? | D | |
1 | eng | false | lvl-1_2022_14 | 14. Joana folds the numbered grid twice as shown in the figure. Then she makes a hole at the black dot indicated by the arrow. Which numbers will be affected? | B | |
1 | eng | false | lvl-1_2022_15 | 15. The stepped pyramid in the figure is built with cubes that have a side length of 10 cm.
An ant climbed to the top on one side and descended on the other, following
the thick line shown in the image. How many centimeters did the ant walk
to complete this journey? | E | |
1 | eng | false | lvl-1_2022_20 | 20. Each different symbol in the figure represents a different number, but repeated symbols always have the same value. The numbers indicate the sum of the rows and columns. What number does the triangle represent? | D | |
1 | eng | false | lvl-1_2022_22 | 22. Marc writes the seven numbers 3, 4, 5, 6, 7, 8, and 9 inside the circles in the image so that the sums of the three numbers in each line are equal. What is the largest result of the sum of three numbers in a line that Marc can achieve? | E | |
1 | eng | false | lvl-1_2022_24 | 24. We have some glasses stacked one inside the other. We know that a stack of 2 glasses measures 18 cm in height and a stack of 8 glasses measures 42 cm. What will be the height of a stack with 6 glasses? | D | |
1 | eng | false | lvl-1_2022_4 | 4. On the number line in the figure, Kangu makes one big jump followed by two small jumps, as we see in the image. If today Kangu starts at point 0 and ends at point 16, how many jumps has he made in total? | E | |
1 | eng | false | lvl-1_2022_6 | 6. Arnau has made the construction we see in the figure on the right. What will Arnau see if he looks at it from above? | C | |
1 | eng | false | lvl-1_2022_8 | 8. During the holidays, I sent five postcards to my friends, and I know that:
• There are no ducks on Miquel's postcard.
• Caterina's postcard has a sun.
• There are exactly two living beings on Paula's postcard.
• Laia's postcard has a dog.
• There are kangaroos on Mireia's postcard.
Which postcard did Mi... | A | |
1 | eng | false | lvl-1_2023_10 | 10. In the figure, we can see a package on which four ribbons, M, N, P, and Q, were placed. From the first to the last, in what order were they placed? | D | |
1 | eng | true | lvl-1_2023_11 | 11. Jasmina has to transport 20 books from an encyclopedia from her classroom to the school library, which is 40 meters away. She can only carry 3 books per trip. How many meters will she travel to transport all the books? | B | |
1 | eng | false | lvl-1_2023_15 | 15. A person wants to climb the spiral staircase that surrounds a cylindrical tower. In the image, 9 steps of this staircase are visible, all of which are identical, including the first two and the last one. How many steps are not visible? | C | |
1 | eng | false | lvl-1_2023_16 | 16. The Riera family has a tiled patio with square tiles of three different sizes. The small tiles have a side length of 10 cm. A snake is resting in the patio as shown in the figure. What is the length of the snake? | C | |
1 | eng | false | lvl-1_2023_17 | 17. Aunt Tìa has drawn pictures in the squares that make up the pyramid in the figure, such that in each block she has copied exactly all the figures from the two blocks immediately below it. However, there are three covered squares, and we cannot directly see what they contain. What figures are in the central square o... | D | |
1 | eng | false | lvl-1_2023_18 | 18. Raül wants to take a route that, starting at the door marked with an arrow, passes through the sixteen rooms of the house without repeating any of them, meaning he passes through each room only once. Doing so, what number is on the door he will exit through? | D | |
1 | eng | false | lvl-1_2023_3 | 3. We have an ordered series of cards. What will be the next card in the series? | B | |
1 | eng | false | lvl-1_2023_6 | 6. Blai has started filling a grid of 40 squares by writing a number in each square, as shown on the right. If he fills the entire grid in the same way, which of the following pieces will he be able to cut out from the grid? | D | |
1 | eng | false | lvl-1_2023_7 | 7. Which of the following polygons cannot be divided into two triangles by cutting it with a straight line? | D | |
1 | eng | false | lvl-1_2024_1 | 1. What square is divided into two pieces that don't have the same shape? | D | |
1 | eng | false | lvl-1_2024_12 | A truck has six boxes stacked as shown in the figure on the right. A worker must unload them from the truck, but can only take out one box at a time, as long as it is a box that has no other boxes on top. The box he takes out is left on the ground or on top of one of the boxes he has already unloaded. Which of the foll... | C | |
1 | eng | true | lvl-1_2024_16 | 16. The four-digit number 2024 has three special properties: all the digits are even numbers; it has three different digits, one of which is repeated, and the last digit is equal to the sum of the first three. How many four-digit numbers (including 2024) have these three properties? | D | |
1 | eng | false | lvl-1_2024_19 | The Rose has a normal die, of those whose opposite faces always add up to 7 points. He rolls it following the route drawn with the arrow. He starts with 4 points at the top. How many points will remain at the top when the course is finished? | E | |
1 | eng | false | lvl-1_2024_2 | 2. Helena paints two rows and three columns of a grid of 40 squares. How many are left unpainted? | C | |
1 | eng | false | lvl-1_2024_20 | 20 Jaume has the three pieces of the puzzle represented on the right. He can rotate them in any direction. He builds a figure with the three pieces. Which of the following five figures cannot be the one he made? | E | |
1 | eng | true | lvl-1_2024_23 | 23. Jordin has a certain number of candies and wants to distribute them among her nets, 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 8 in each bag and that there are 5 left over. What is the minimum number of candie... | B | |
1 | eng | false | lvl-1_2024_24 | The mayor of Quadratsburg must organize the surveillance of the neighborhood of the Pythagorean. He must ensure that all the streets that we see in the plan are guarded under the watchful eye of the guards, who will not be able to move from their place of guard. In addition, they must follow the instruction that in no ... | A | |
1 | eng | false | lvl-1_2024_3 | Three: There is a set of papers attached to a classroom window, and from the inside they look like the picture on the right. Each paper is black on one side and white on the other. What does the set look like from the outside? | D | |
1 | eng | false | lvl-1_2024_8 | 8. 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? | D | |
2 | eng | false | lvl-2_2016_10 | 10. Which of the pieces from the answer options fits with the one on the right to form a rectangle? | B | |
2 | eng | false | lvl-2_2016_11 | 11. A rectangular frame has a width of 2 cm. What is the perimeter of the outer part of this frame if the inner rectangle has dimensions of 32 × 24 cm? | E | |
2 | eng | true | lvl-2_2016_13 | 13. In the country of Kangaroos, every June the population doubles, and every December one gets upset with the others and leaves. Today, in the country of Kangaroos, there are exactly three kangaroos. How many will there be on March 15, 2018? | B | |
2 | eng | true | lvl-2_2016_16 | 16. In a class, each of the boys has shaken hands with each of the girls.
If a total of 77 handshakes have been made, how many students are there in this class? | B | |
2 | eng | false | lvl-2_2016_17 | 17. A square is inscribed in another square with a side length of 8 cm, as shown in the drawing. What is the area of the smaller square? | E | |
2 | eng | true | lvl-2_2016_19 | 19. The sum of two natural numbers is 170. We know that one of the numbers ends in 5, and when this digit is removed, we obtain the second number. What is the difference between these two numbers? | C | |
2 | eng | false | lvl-2_2016_2 | 2. The two dice in the figure are like the ones we use to play Parcheesi. How many points are there, in total, on the faces we cannot see? | D | |
2 | eng | false | lvl-2_2016_20 | 20. Aina is building a cube measuring 6 × 6 × 6 using pieces of 1 × 1 × 2. She has already completed what is shown in the figure. How many more pieces will she need to complete the cube? | D | |
2 | eng | false | lvl-2_2016_22 | 22. In a square, we draw four identical rectangles, each with a perimeter of 16 cm. These rectangles surround a smaller square. What is the side length of the larger square? | B | |
2 | eng | true | lvl-2_2016_23 | 23. On the screen of a digital clock, two digits are displayed for the hour and two digits for the minutes; for example, 00:32 or 21:34. The four digits from the latter example appear at other times of the day in different positions: 21:43, 23:41, etc. How many times throughout the day do the digits 0, 1, 2, and 6 appe... | A | |
2 | eng | false | lvl-2_2016_24 | 24. Some square tablecloths have a perimeter of 320 cm. On the pattern, you can see that there are four identical circles drawn, one at each corner. Each of these circles has a radius of 5 cm. Additionally, there are four larger identical circles on the inside. What is the radius of each of these four larger circles? | A | |
2 | eng | true | lvl-2_2016_25 | 25. Joan was born on the same day his mother turned 20. Therefore, they always shared a birthday celebration. Both lived long lives. On how many birthdays was the mother's age a multiple of Joan's age? | C | |
2 | eng | true | lvl-2_2016_28 | 28. In an election, four candidates have run, and 2,000 valid votes have been counted.
The winner received 100 votes more than the second; the second received 100 more than the third, and the third received 100 more than the fourth. How many votes did the winner receive? | E | |
2 | eng | true | lvl-2_2016_3 | 3. Anna has painted the squares located on the diagonals of a grid. What are the dimensions of this grid if she has painted a total of nine squares? | C | |
2 | eng | false | lvl-2_2016_30 | 30. Pere is sitting in front of a mirror through which he sees a clock. The figure on the right shows the clock as Pere sees it now. How will he see it in 10 minutes? | A | |
2 | eng | false | lvl-2_2016_5 | 5. The figure on the right represents a geometric body made up of 18 small white cubes of the same size. If we paint the entire outer surface red, how many small cubes will have exactly two faces painted red? | D | |
2 | eng | true | lvl-2_2016_6 | 6. Antoni, Berta, Carles, Diana, and Ester have each made a paper airplane. One can fly 2 meters, another 3 meters, another 4 meters, another 6 meters, and another 8 meters. Antoni's airplane can fly exactly twice as far as Berta's airplane. Carles's airplane can fly exactly three times as far as Diana's airplane. How ... | B | |
2 | eng | false | lvl-2_2017_14 | 14. Each key only opens one lock, and its numbers correspond to the letters of its lock. What number is written on the last key? | B | |
2 | eng | true | lvl-2_2017_17 | 17. All of Miquel's pets, except for two, are cats. All of them, except for two, are dogs, and all of them, except for two, are hamsters. How many pets does Miquel have? | B | |
2 | eng | true | lvl-2_2017_2 | 2. Robert has written the following list of numbers on the board: 4, 5, 1, 5, 2, 3, 5, 4, 5, 5, 2, 3, 3, 1, 5, 4, 2. Call "coherent" those numbers that match the number of times they appear in the list. What is the sum of all the coherent numbers in this list, counting them every time they appear? | B | |
2 | eng | false | lvl-2_2017_20 | 20. The ten numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 must be written in the 10 circles of the figure. If two circles are connected by a segment, then one of the numbers must be even and the other odd. In how many ways can the circles be filled while satisfying this property? | D | |
2 | eng | true | lvl-2_2017_21 | 21. How many times do the hands of a clock form a 90° angle between 8 a.m. and 12 noon? | D | |
2 | eng | true | lvl-2_2017_22 | 22. We have a special cubic die. Five faces are marked with the numbers 5, 6, 9, 11, and 14. Additionally, we know that the sum of the opposite faces of the die is the same. What is the number on the sixth face? | A | |
2 | eng | true | lvl-2_2017_23 | 23. We weigh a container that holds water up to one-third of its capacity, and the scale shows 600 g. Then we weigh it with water up to two-thirds of its capacity, and the scale shows 800 g. How much does the empty container weigh? | D | |
2 | eng | false | lvl-2_2017_24 | 24. The construction of the figure is made with ten cubes with an edge of 1 cm and is stored inside a box that fits it best. What are the dimensions, in cm, of this box? | E | |
2 | eng | true | lvl-2_2017_25 | 25. Pere went hiking in the mountains for 5 days. He started on Monday, and the last stage was on Friday. Each day, he walked 2 km more than the previous day. When he completed the entire route, the total distance he had covered was 70 km. How many kilometers did Pere walk on Thursday? | A | |
2 | eng | false | lvl-2_2017_26 | 26. In the first triangle of the figure on the right, a kangaroo has been drawn. If the dotted lines are mirrors, its image will be reflected in the other triangles. The first two reflections have been drawn for you. What will the drawing look like in the fifth triangle, marked with the question mark? | A | |
2 | eng | true | lvl-2_2017_27 | 27. Consider the integer 1234567891011..............99100 that results from writing consecutively and in order all the integers from 1 to 100, one after the other. From this number, we erase all the digits equal to 1. How many digits remain written? | C | |
2 | eng | false | lvl-2_2017_28 | 28. The square in the figure has an area of 36 cm². What is the area of the shaded rectangle? | A | |
2 | eng | false | lvl-2_2017_29 | 29. If in the scales of the figure the first two weighings are balanced,
which objects should we place on the right plate in the third weighing so that
it is also balanced? | A | |
2 | eng | false | lvl-2_2017_4 | 4. The railing of a bridge is built by alternating two balls and one ball on the various posts that support the railing, and, as shown in the figure, the first post has two balls. If there are 25 posts in total, how many balls can be counted? | D | |
2 | eng | false | lvl-2_2017_5 | 5. We have four cards in a row, arranged as shown in the figure on the right. Alba tells us that she has swapped the positions of two cards in the row (two and only two). What could the resulting row of cards be? | D | |
2 | eng | false | lvl-2_2017_8 | 8. In the cells of the 4 × 4 grid in the figure, we have placed the numbers that can be seen. Marga has found the 2 × 2 square in which the sum of the four numbers is the largest possible. What is the result of this sum? | C | |
2 | eng | true | lvl-2_2017_9 | 9. A printer is not working properly. When a new job starts, it makes 14 consecutive copies correctly, and the next one comes out defective; that is, the 15th, the 30th, the 45th, etc., are defective. Joan has requested 2,500 copies without knowing about the problem. How many copies will he be able to use? | D | |
2 | eng | false | lvl-2_2018_1 | 1. The drawing shows 3 flying arrows and 9 stationary balloons. When an arrow hits a balloon, the balloon bursts, and the arrow continues flying in the same direction. How many balloons will remain unburst by the arrows? | A | |
2 | eng | false | lvl-2_2018_10 | 10. In the figure, the circles represent light bulbs connected to other light bulbs.
Initially, all the light bulbs are off. When we touch a light bulb,
it and the ones directly connected to it turn on. How many light bulbs
will need to be touched, at a minimum, to turn them all on? | D | |
2 | eng | false | lvl-2_2018_12 | 12. New cars arrive at an intersection and leave following the directions indicated by the arrows. Which of the following situations represents the position of the cars after leaving the intersection? | D | |
2 | eng | false | lvl-2_2018_18 | 18. The faces of a cube are painted white, black, or gray, such that opposite faces have different colors. Four of the following nets could correspond to this cube, but one does not. Which one does not make it possible to construct this cube? | A | |
2 | eng | false | lvl-2_2018_19 | 19. Joan calculates this sum with the digits M, N, P, and Q. Each different letter corresponds to a different digit. What is the digit that corresponds to N? | D | |
2 | eng | false | lvl-2_2018_2 | 2. We have three objects placed on top of a table, as shown in the figure.
What is the profile view of the three objects on the table? | B | |
2 | eng | true | lvl-2_2018_23 | 23. A, B, and C are three different digits. We form 6-digit numbers using three A's, two B's, and one C. The largest number that can be obtained in this way can never be equal to | C | |
2 | eng | true | lvl-2_2018_24 | 24. The sum of the ages of Clàudia and her mother is 36, and the sum of the ages of her mother and her grandmother is 81. What was the grandmother's age when Clàudia was born? | B | |
2 | eng | false | lvl-2_2018_26 | 26. Pau divided a wooden plank 8 cm wide into 9 parts. One piece is a square, and the rest are rectangles. Then, he arranged the pieces to form a square, as shown in the figure. What was the total length of the wooden plank? | C | |
2 | eng | true | lvl-2_2018_28 | 28. There are 14 people sitting around a round table. Some people are liars and always lie, while others always tell the truth. Everyone says: "My two neighbors are liars." What is the maximum number of liars that can be at the table? | A | |
2 | eng | false | lvl-2_2018_29 | 29. Write the digits 0 or 1 in each cell of the 5 × 5 table, so that every 2 × 2 square within the 5 × 5 table contains exactly 3 identical numbers. What is the maximum possible sum of all the numbers in the table? | B | |
2 | eng | false | lvl-2_2018_30 | 30. Write the numbers 3, 4, 5, 6, 7, 8, and 9 inside the circles in such a way that you obtain the same sum along each of the three lines. What is the sum of all the possible numbers that can be placed in the central circle? | B | |
2 | eng | false | lvl-2_2018_5 | 5. Alicia has done this subtraction with two-digit numbers. Then she colored two of the digits. What is the sum of the two colored digits? | A | |
2 | eng | false | lvl-2_2018_6 | 6. An 8-pointed star has been constructed from four equilateral triangles and a square. The perimeter of the square is 36 cm. What is the perimeter of the star? | D | |
2 | eng | true | lvl-2_2018_8 | 8. How many times do we need to roll a die with faces numbered from 1 to 6 to be certain that we will get a number that has already appeared before? | D | |
2 | eng | false | lvl-2_2018_9 | 9. In the figure, there are three squares. The length of the side of the smallest square is 6 cm, and the figure provides some other measurements. What is the length of the side of the largest square? | B | |
2 | eng | false | lvl-2_2019_1 | 1. In which cloud is there a number that is the result of the multiplication of two other numbers from the same cloud? | B | |
2 | eng | true | lvl-2_2019_10 | Ali Baba and the 40 thieves have divided 42 identical bags of gold coins among themselves. Each of them receives exactly the same share of the loot: one bag and, in addition, 2 coins. How many coins are there in each bag? | C |
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