2020 Benjamin Test | Test and Chat

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2020 Benjamin (Grade 5 - 6)

Questions: 24 | Answered: 0

Q1. Which tile below completes the wall next to it?

3 points

ABCDE

Question 1

Q2. Amira is traveling from Atown to Betown and passes by two indica- tive signs along the road. One of them has a hidden number. What is this number?

3 points

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Question 2

Q3. The board beside is formed by little white and dark squares. After a ninety-degree turn, how can this board appear?

3 points

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Question 3

Q4. Ana starts lighting a candle every 10 minutes. Each candle lasts 40 minutes. After 55 minutes, how many candles will be lit?

3 points

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Question 4

Q5. Ten people order an ice cream for each one. They ask for four vanilla ice creams, three chocolate ice creams, two lemon ice creams and one mango ice cream. As a topping, they ask for four umbrellas, three cherries, two wafers and a chocolate gum, one topping for each ice cream. Since they don't want two ice creams the same, which of the following combinations is possible?

3 points

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Question 5

Q6. Bia has five coins as shown beside. She went to the grocery store to buy a fruit, using only three coins, without having to receive change. Among the prices of the following fruits, which one can she NOT buy?

3 points

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Question 6

Q7. Janaina bought three toys, spending all her money. For the first one she paid half of the money she had plus one Real, for the second one she paid half of what was left plus two Reais and for the third one she paid half of what was left plus three Reais. How much money did she have?

3 points

ABCDE

Question 7

Q8. Dirce built the sculpture on the side by gluing cubic boxes of half a meter on the side. Then she painted the sculpture minus the support base, with a special paint sold in cans. Each can allow to paint 4 square meters of surface. How many cans of paint did she have to buy?

3 points

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Question 8

Q9. Vania has a sheet of paper divided into nine equal squares. She wants to fold the sheet as shown in the picture, initially with horizontal folds and then with vertical folds, un- til she leaves the colored square on top of the layers. Vania wants to write the numbers from 1 to 9, one in each square, so that these numbers are in ascending order, starting with the number 1 at the top, after the folds are made above. On the open sheet, indicated at the side, which numbers should she write in place of a , b and c ?

4 points

ABCDE

Question 9

Q10. Two little mice, one white and one dark, leave, at the same time, towards the cheese, through different paths, as indicated in the pic- ture, in which the little squares are equal. The two arrive at the same time to the cheese. If the dark mouse runs 4.5 meters per second, how many meters per second does the white mouse run?

4 points

ABCDE

Question 10

Q11. The circles of the figure should be numbered from 0 to 10, each with a dif- ferent number. The five sums of the three numbers written on each diameter must be odd numbers. If one of these sums is the smallest possible, what will be the largest possible value of one of the remaining sums?

4 points

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Question 11

Q12. When the bat Elisa left its cave at night, the digital clock showed . When she came back in the morning and hung herself upside down, she looked at her watch and saw . How long did she stay out of the cave?

4 points

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Question 12

Q13. On a distant island, 2020 kangaroos, holding hands, form a large circle. These kangaroos are either brown and always tell the truth, or they are grey and only tell lies. Each one of them says the same thing: "One of my neighbors is brown and the other is gray". What is the number of brown kangaroos in this circle?

4 points

ABCDE

Question 13

Q14. Maria has exactly 9 white cubes, 9 light gray cubes and 9 dark gray cubes, all the same size. She glues all these cubes together to form a larger cube. Which of the cubes below is the one she made?

4 points

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Question 14

Q15. The following figures show five paths, indicated by the thickest lines, between the X and Y points. Which of these paths is the longest?

4 points

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Question 15

Q16. Mary numbered the sides of three cards from 1 to 6. Using these cards, she can compose three digit numbers, for example 135 or 234. But some numbers cannot be obtained, like 126. Which of the following numbers CANNOT be obtained?

4 points

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Question 16

Q17. Which of the following indeformable pieces of wire, when duplicated, allows to make a closed piece without crosses, with the two pieces joined by their ends?

5 points

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Question 17

Q18. Amelia glues these six stickers on the faces of a cube: . The fig- ure shows this cube in two different positions. Which adhesive is on the opposite side of the duck?

5 points

ABCDE

Question 18

Q19. Beatriz has five sisters with ages of 2, 3, 5, 8, 10 and 17. Beatriz writes these ages in the circles of the opposite diagram, so that the sum of the ages in the four corners of the square is equal to the sum of the ages in the four circles aligned horizontally. What is this sum?

5 points

ABCDE

Question 19

Q20. Maria puts 4 liters of water in vase I, 3 liters of water in vase II and 4 liters of water in vase III, represented on the side. Seen from the front, these three vases seem to have the same size. Which of the following images can represent the three vases, when seen from above?

5 points

ABCDE

Question 20

Q21. Inside the gray square there are three white squares and the numbers inside them indicate their areas. The white squares have sides parallel to the sides of the gray square. If the area of the gray square is 81, what is the area of the gray area not covered by the white squares?

5 points

ABCDE

Question 21

Q22. John made a construction with wooden cubes of the same size, with the three views shown beside, using as many cubes as possible. Ana, John´s sister, wants to remove all the cubes she can, without modifying these three views. At most, how many cubes can she remove?

5 points

ABCDE

Question 22

Q23. A panel is composed of 4 circles. When Lucy touches a circle, this circle and the others that touch this circle change their color from white to black or from black to white, as shown in the picture. Starting with all white circles, at least how many circles must Lucy touch, one after the other, so that all circles turn black?

5 points

ABCDE

Question 23

Q24. Which set of weights below balances the third scale, in the picture beside?

5 points

ABCDE

Question 24

2020 Benjamin Test | Test and Chat