2018 Benjamin Test | Test and Chat

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2018 Benjamin (Grade 5 - 6)

Questions: 24 | Answered: 0

Q1. As seen in the diagram, three darts are thrown at nine fixed balloons. If a balloon is hit it will burst and the dart continues in the same direction it had beforehand. How many balloons will not be hit by a dart ?

3 points

ABCDE

Question 1

Q2. Peter places three building block s on a table, as shown . What does he see when he is looking at them from above ?

3 points

ABCDE

Question 2

Q3. If you hit the target board, you score points. The number of points depends on which one of the three areas you hit. Diana throws two darts, three times at the target board. On the first attempt she scores 14 points and on the second 16 points. How many points does she score on the third attempt ?

3 points

ABCDE

Question 3

Q4. A garden is split into equally sized square - shaped lots. A fast and a slow snail crawl in different directions along the outside edge of the garden. Both start at the corner S. The slow snail crawls 1 m in one hour and the fast one crawls 2 m in one hour. In which position will the two snails meet for the first time ?

3 points

ABCDE

Question 4

Q5. A star consist of a square and four triangles. All sides of the triangles are equally long. The perimeter of the square is 36 cm . What is the perimeter of the star ?

3 points

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Question 5

Q6. A big spot of ink covers most of a calendar page of a certain month. Which day of the week does the 25th day of that month fall on ?

3 points

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Question 6

Q7. How many times do you have to roll an ordinary die in order to be certain that at least one number is rolled twice ?

3 points

ABCDE

Question 7

Q8. A figure i s made up of three squares. The side length of the smallest square is 6 cm. How long is the side length of the biggest square ?

3 points

ABCDE

Question 8

Q9. Alice subtra cts one two - digit number from another two - digit number. Afterwards she paints over two digits in the calculation . How big is the sum of the two painted digits ?

4 points

ABCDE

Question 9

Q10. In the diagram the circles represent light bulbs which are connected to some other light bulbs. Initially all light bulbs are switched off. If you touch a light bulb then that light bulb and all directly adjacent light bulbs switch themselves on. What is the minimum number of light bulbs you ha ve to touch in order to switch on all the light bulbs ?

4 points

ABCDE

Question 10

Q11. Four equally big squares are partially coloured in black. In which of the four squares is the total area of the black parts biggest ?

4 points

ABCDE

Question 11

Q12. The four smudges hide four of the numbers 1, 2, 3, 4, 5. The calculations along the two arrows are correct. Which number hides behind the smudge with the star ?

4 points

ABCDE

Q13. A lion hides in one of three rooms. On the door to room number 1 a note reads : „ The lion is not here “. On the door to room number 2 a note reads: „The lion is here“. On the door to room number 3 a note reads: „ 2 + 3 = 5 “. Exactly one of the three notes i s true. In which room is the lion ?

4 points

ABCDE

Question 13

Q14. The two girls Eva a nd Olga a nd the three boys Adam, Isaac a nd Urban play together with a ball. If a girl has the ball she throws it either to the second girl or to a boy. Every boy only throws the ball to another boy, however not to the one where the ball has just come from. The first throw is made by Eva to Adam. Who makes the 5th throw ?

4 points

ABCDE

Question 14

Q15. The faces of a die are either white, grey or black. Opposite faces are always a different colour. Which of the following nets does not be long to such a die ?

4 points

ABCDE

Question 15

Q16. From a list with the numbers 1, 2, 3, 4, 5, 6, 7 , M onika chooses 3 differ e nt numbers whose sum is 8. From the same list Daniel chooses 3 different numbers whose sum is 7. How many of the numbers were chosen by both Monika and Daniel ?

4 points

ABCDE

Question 16

Q17. Emily wants to write a number into every free small triangle . The sum of the numbers in two triangles with a common side should always be the same. Two numbers are already given. How big is the sum of all numbers in the figure ?

5 points

ABCDE

Question 17

Q18. Instead of digits Hannes uses the letters A, B, C and D in a calculation. Different letters stand for different digits. Which digit does the letter B stand for ?

5 points

ABCDE

Question 18

Q19. Four ladybirds each sit on a different cell of a 4 x 4 grid . One is asleep and does not move. On a whistle the other three each move to an adjacent free cell. They can crawl up, down, to the right or to the left but are not allowed on any Initial After the first After the After the third account to move back to the cell that position whistle second whistle whistle they have just come from. Where could the ladybirds be after the fourth w h istle ?

5 points

ABCDE

Question 19

Q20. The five balls weigh 30 g, 50 g, 50 g, 50 g a nd 80 g. W hich of the balls weighs 30 g?

5 points

ABCDE

Question 20

Q21. Three different digits A, B a nd C are chosen . Then the biggest possible six - digit number is built where the digit A appears 3 times, the digit B 2 times and the digit C 1 time . Which representation is definitely not possible for this number ?

5 points

ABCDE

Question 21

Q22. The sum of Kathi ’ s age and the age of her mother is 36. The sum of the age of her mother and the age of her grandmother is 81. How old was Kathi ’ s grandmother when Kathi was born ?

5 points

ABCDE

Question 22

Q23. Nick wants to split the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10 in to some groups so that the sum of the numbers in each group is equally big . What is the biggest number of groups he can build this way ?

5 points

ABCDE

Question 23

Q24. The figure shown on the right consists of one square part and eight rectangular parts. Each part is 8 cm wide. Peter assembles all parts to form one long, 8 cm wide rectangle. How long is this rectangle ?

5 points

ABCDE

Question 24

2018 Benjamin Test | Test and Chat