2017 Benjamin Test | Test and Chat

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2017 Benjamin (Grade 5 - 6)

Questions: 24 | Answered: 0

Q1. Four cards are placed in this order: Which order cannot be obtained, if only two cards are swapped?

3 points

ABCDE

Question 1

Q2. A fly has 6 legs, a spider 8. Therefore 3 flies and 2 spiders together have the same amount of legs as 9 chickens and

3 points

ABCDE

Question 2

Q3. Anna has four identical building blocks that each look like th is: Which shape can she not form with them?

3 points

ABCDE

Question 3

Q4. Kevin knows that 1111 x 1111 = 1234321. Which result does he g et for 1111 x 2222?

3 points

ABCDE

Question 4

Q5. The 10 islands are connected by 12 bridges (see diagram). All bridges are open for traffic. What is the minimum number of bridges that need to be closed of f, so that the traffic between A and B comes to a halt?

3 points

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Question 5

Q6. Jane, Kate and Lynn go for a walk. Jane walks at the very fron t, Kate in the middle and Lynn at the very back. Jane wei ghs 500 kg more than Kate and Ka te weighs 1000 kg less than Lynn. Which of the following pictures s hows Jane, Kate and Lynn in th e right order?

3 points

ABCDE

Question 6

Q7. Max colours in the squares of the grid, so that one third of a ll squares are blue and one half of all squares are yellow. The rest he colours in red. How many squares does he have to colour in red?

3 points

ABCDE

Question 7

Q8. Bob folds a piece of paper, then pun ches a hole into the paper and unfolds it again. The unfolded paper then looks like this: Along which dotted line has Bob folded the paper beforehand?

3 points

ABCDE

Question 8

Q9. A rectangle is twice as long as wide. Which fraction of the re ctangle is coloured in grey? ଵ ଷ ଷ ଵ ଷ

4 points

ABCDE

Question 9

Q10. Only four players score goals in a handball game. Each one sco red a different number of goals. Michael scored the fewest number of goals. If the other players altogether managed to score 20 goals in total, what is the maximum number of goals Michael could have scored?

4 points

ABCDE

Question 10

Q11. A furniture shop sells 3-seater, 2-seater and 1-seater sofas t hat each have an equally wide armrest on the left and the right han d side. Each seat is equally wide (see picture). Together with th e

4 points

ABCDE

Question 11

Q12. 567891011121314151617181920. Then he deletes 24 digits of the number, so that the remaining number is as big as possible. Which number does he obtain?

4 points

ABCDE

Question 12

Q13. There is a number written on every face of a special die. The sum of the numbers, which are on opposite sides to each other, is always equally big. Five of the six numbers are 5, 6, 9, 11 and 14. Which number is on the sixth face?

4 points

ABCDE

Question 13

Q14. Paul goes on a 5-day hiking trek. He starts on Monday and finis hes on Friday. Every day he covers 2 km more than the day before. In total he hikes 70 km. Which distance does he cover on Thursday?

4 points

ABCDE

Question 14

Q15. Boris wants to increase his pocket money. To achieve this a fa iry gives him three magic wands. He has to use every single one exactly once. Magic wand “  1 ” Magic wand “  1 ” Magic wand “ ∙ 2 ” increases his decreases it by 1 €. doubles it. money by 1 € •2 +1 –1 In which order does he have to use the magic wands, in order t o get the most money? •2 +1 –1 +1 –1 •2 •2 –1 +1 +1 •2 –1 –1 +1 •2

4 points

ABCDE

Question 15

Q16. Raphael has three squares. The f irst one has side length 2 cm, the second one has side length 4 cm and one co rner is the centre of the first square. The third square has side length 6 cm and one corner is the ce ntre of the second square. What is the total area of the figure shown?

4 points

ABCDE

Question 16

Q17. A big cube is made up of 9 ident ical building blocks. Each bui lding block looks like this: Which big cube is possible?

5 points

ABCDE

Question 17

Q18. The numbers 1, 2, 3, 4 and 5 ha ve to be written into the five fields of this diagram according to the following rules: If one number is below another number, it has to be greater; if one number is to the right of another, it has to be greater. How many ways are there to place the numbers?

5 points

ABCDE

Question 18

Q19. There are eight kangaroos in a row, as seen in the picture. Two kangaroos, that are standing next to each other and that a re looking into each others eyes, are changing places by hopping past each othe r. This is carried out until no more jumps are possible. How often did a change of places occur?

5 points

ABCDE

Question 19

Q20. A square floor is made up of triangular and square tiles in gr ey and white. What is the smallest number of grey tiles that have to be swapped with white tiles, so that the floor looks the same from all four given viewing directions?

5 points

ABCDE

Question 20

Q21. In a bag there are only red and green marbles. If one randomly takes out five marbles, there is at least one red one. If one randomly takes out six marbles, there is at least o ne green one. What is the maximum number of marbles in the bag?

5 points

ABCDE

Question 21

Q22. Each one of the 5 keys locks exactly one padlock. Every letter on a padlock stands for exactly one digit, same letters mean same digits. Which digits are on the key with the question mark?

5 points

ABCDE

Question 22

Q23. Petra likes even numbers, Ina likes numbers that are divisible by three and Celina numbers that are divisible by 5. In a basket there are 8 balls, each with one number written on them. Each one of the three girls went to the basket on their own and took all balls according to their prefe rences. Petra took 32 and 52, Ina took 24, 33 and 45, and Celina took 20, 25 and 35. In which order did they go to th e basket?

5 points

ABCDE

Question 23

Q24. The first kangaroo is repeatedly mirrored along the dotted lines. Two reflections were already carried out. In which position is the kangaroo in the grey triangle?

5 points

ABCDE

Question 24

2017 Benjamin Test | Test and Chat