2024 Kadett Test | Test and Chat

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2024 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. The diagram on the right is made up of five - sided tiles of equal size . Which tile can be inserted in the missing spot so that two closed lines are formed ?

3 points

ABCDE

Question 1

Q2. × 0 + 2 × 4

3 points

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Question 2

Q3. Which figure shown below cann ot be formed from the rope shown on the right without cutting ?

3 points

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Question 3

Q4. Julio cuts off four corners of a regular tetra hedron . How many corners does the object now have?

3 points

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Question 4

Q5. A square has a perimeter of 32 cm. The square is cut into 4 equal strips (see diagram). What is the perimeter of once such strip ?

3 points

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Question 5

Q6. Ria ha s three cards with the numbers 1, 5 a nd 11. She wants to pla c e the cards next to each ot her to form a 4 - digit number . How many different 4 - digit numbers can she form ?

3 points

ABCDE

Question 6

Q7. Manuel ha s a round transparent piece of paper with some circ les (see diagram on the right) . He folds it along the dashed line . What does it lo ok like once it has been folded ?

3 points

ABCDE

Question 7

Q8. There are five different kinds of fruit in a bowl: apples, grapes, cherries, strawberries and bananas. Anna likes apples, cherries, strawberries and bananas . Berta likes apples. Conny likes grap es, cherries, strawberries and bananas . Doris likes apples, grapes and cherries . Eva likes apples and cherries . The fruits are shared out so that each person gets a different kind of fruit but everybody gets a ki nd of fruit that they like. Who gets th e cherries ?

3 points

ABCDE

Question 8

Q9. 50 children are sitting in a circle . They throw a ball. Each child that gets the ball , throws the ball to the child sitting six places to the ir left . Frida gets the ball 100 times during the game . How many children never get the ball during this time ?

3 points

ABCDE

Question 9

Q10. The diagram shows a rhombus . The area of the rhombus is increa sed by adding two right - angled tria ngles (see diagram). We know that ∡ 푁푀퐴 = ∡ 퐵푀푁 = 90° . By which percentage does this increase the area ?

3 points

ABCDE

Question 10

Q11. Carina has baked a cake and cut it into 10 equal pieces. She ate one piece of cake and re arranged the remainin g pieces evenly (see diagram) . How big is the angle between two neighbouring pieces ?

4 points

ABCDE

Question 11

Q12. Four different positive whole numbers are written into the grid and are then covered up. The product s of the two numbers in each row or column , respectively , are stated n ext to or below the grid . What is the sum of the four covered numbers ?

4 points

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Q13. Uli can buy exactly 12 packages of jelly bab ies or exactly 20 choc o late bars with her pocket money. Uli buy s 9 packages of jelly babies . How many chocolate bars can she buy with the remaining money ?

4 points

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Question 13

Q14. Which of the shapes shown o n the right can you put togeth er to form a cuboid ?

4 points

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Q15. A ll trolleys in a shop are the same. Four trolleys slid together have a total length of

4 points

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Q16. Johann ha s several light and dark cubes . He use d them to form the solid shown on the right. H e made it by glu ing a light cube on each side of a dark cube . Now he wants to glue on dark cubes so that no light areas can be seen from the outside . What is the minimum number of dark cubes that he will need ?

4 points

ABCDE

Q17. The digits 0 - 9 can be drawn using horizontal and vertical lines as shown . Greg chooses two digits. Together , his digits have 1 horizontal line and 5 vertical lines. What is the sum of his two digits ?

4 points

ABCDE

Question 17

Q18. The diagram shows three semi - circles inside a rectangle. The semi - circle in the middle touches the other two semi - circles , which each touch a short side of the rectangle . The biggest semi - circle also touches the upper long side of th e rectangle . The shortest distances from that side of the rectangle to the two other semi - cir cles are 5 cm and 7 cm , respectively (see diagram). How big is the perimeter of the rectangle in cm?

4 points

ABCDE

Q19. Daniel forms a 4×4 - square out of the three pieces shown on the right and another piece . The sum of the four numbers in each row and in each column is the same. W hat does the fourth piece look like ?

4 points

ABCDE

Q20. Every day , pe nguin Paula catches 12 fish for her two children. Every day she gives one of her children

4 points

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Question 20

Q21. A kangaroo jumps up a mountain and back down again on the same path. Upwards , it covers 1 metre per jump. Downwards , it covers 3 metre s per jump. In total it jumped 2024 times . How many metres did it cover in total ?

5 points

ABCDE

Question 21

Q22. Tarek wants to colour two more cells of the 4 × 4 - s quare in black so that the pattern made by white and black cells in the 4 × 4 - square has exactly one axis of symmetry . In how many ways can he do that ?

5 points

ABCDE

Question 22

Q23. F resh mushrooms consist of 80 percent water. In d ried mushrooms, however, the amount of water is on ly 20 percent of its mass. By what percentage does the mass of a mushroom decrease during drying ?

5 points

ABCDE

Question 23

Q24. Tiler Teri wants to cover a square floor with a regular pattern (see diagram) using six - sided and three - sided tiles. She estimates that she will be needing approximately 3000 six - sided tiles for the entire floor. Approximately, h ow many three - sided ti l es will she be needing ?

5 points

ABCDE

Question 24

Q25. Dagobert wants to complete the diagram so that numbers in each box in the middle and top 36 row are equal to the product of the values of the two box e s underneath . Each box should contain a positive whole number . He wants the top box to contain the number 36. How many different values can the number 푛 have ? 푛

5 points

ABCDE

Question 25

Q26. Three angles 훼 , 훽 a nd 훾 are drawn on squared paper (see diagram). How big is 훼 + 훽 + 훾 ?

5 points

ABCDE

Q27. A farmer sells chicken eggs and duck eggs . In different baskets he h as 4, 6, 12, 13, 22 and 29 , respec tively , eggs of one kind in each . Christoph buys all the eggs in one basket. The farmer then realises that he now was twice as many chicken eggs as duck eggs . How many eggs did Christoph buy ?

5 points

ABCDE

Question 27

Q28. Captain Flint asks four of his pirates to note down how many gold, silver and bron z e coins there were in the treas ure chest on a piece of paper . Their answers are shown in the diagram . Unfortunately, a part of the paper was damaged. Only one of the four pirates told the truth. The other three lied on every single one of their answers. The total number of coins was 30. Who told the truth ?

5 points

ABCDE

Question 28

Q29. Anne drives from point A to point B and then immediately back to A. Benni drives from point B to point A and then immediately back to B. They drive on the same road, start at the same ti me und both drive with constant spe ed. Anne’s speed is three times as high as Benni’s speed . T hey meet for the first time 15 minutes after the y start . How long after the start will they meet for the seco nd time ?

5 points

ABCDE

Question 29

Q30. Consider the pentagon 퐴퐵퐶퐷퐸 w ith ∡ 퐵퐴퐸 = ∡ 퐶퐵퐴 = 90° , ̅ 퐴퐸 ̅ ̅ ̅ = 퐵퐶 ̅ ̅ ̅ ̅ a nd 퐸퐷 ̅ ̅ ̅ ̅ = 퐷퐶 ̅ ̅ ̅ ̅ . Four points are marked along 퐴퐵 , dividing 퐴퐵 in t o five pieces of equal length . Vertical lines are then drawn through these points as shown in the diagram. The dark part in the middle has an area of 13 cm 2 a nd the lightly shaded part to the left of it has an area of 10 cm 2 . What is the area of the entire pentagon in cm 2 ?

5 points

ABCDE

Question 30

2024 Kadett Test | Test and Chat