2025 Kadett Test | Test and Chat

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2025 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. Lisa can make the number 2025 out of four wooden di gits as shown. Which of the following numbers is the largest that she can make with these digits?

3 points

ABCDE

Question 1

Q2. Isabelle is playing a game with a hexagonal sheet of paper. She rotates the hexagon by the same angle and in the same direction with ea ch move. The illustration shows the sheet at the beginning and after the first move . After how many moves does the sheet look the same a s it did at the beginning?

3 points

ABCDE

Question 2

Q3. Alex rolls three standard dice and gets a total of 8. All three dice show different numbers. What num ber is definitely not shown on any of the three dice?

3 points

ABCDE

Question 3

Q4. The regular hexagon shown is divided into a number of triangles with equal areas. What fraction of the hexagon is grey?

3 points

ABCDE

Q5. In Kangaroo Town, instead of kilometres the unit u sed is ‘ hops’ . Kangaroo Klaus needs 12 minutes to cover one hop. How many hops can he cover in 12 hours?

3 points

ABCDE

Q6. Daniel is 5 years old. His brother Dominik is 6 ye ars older. How old will they both be in total in 7 years’ tim e?

3 points

ABCDE

Question 6

Q7. Ohad wants to write the four digits 2, 0, 2 and 5 in the four boxes of the calculation shown. What is the smallest result Ohad could obtain?

3 points

ABCDE

Question 7

Q8. The picture on the right shows the menu of a burge r restaurant. The rain has washed away some of the numbers. The burgers are ordered by pri ce in ascending order, the cheapest being the "veggie" burger. What is the smallest possible price of the "deluxe " burger?

3 points

ABCDE

Q9. Five circles, each with an area of 8 cm 2 , overlap to form the figure shown. Each overlappin g section has an area of 1 cm 2 . What is the total area of the figure in cm 2 ?

3 points

ABCDE

Q10. , 11 and 12. Their arithmetic mean is 7.0. In the right bowl there are five balls with the numbers 3, 4, 5, 8 and 9; their arithmetic mean is 5.8. Sanja wants to increase the arithmetic mean of the numbers in both bowls. Which ball must she transfer from the left bowl to the right to do this?

3 points

ABCDE

Question 10

Q11. A mouse wants to get to a piece of cheese. From eac h square it can only move to the square to the right of it or directly below it. How many different paths lead the mouse to a piece of cheese?

4 points

ABCDE

Question 11

Q12. In a 60 m hurdles race, there are 5 hurdles. The first hurdle is 12 m after the start. The distance between any two consecutive hurdles is 8 m . How far is the last hurdle from the finish line?

4 points

ABCDE

Question 12

Q13. Emma wants to write a number in each circle (see d iagram). She wants each number to be equal to the sum of the numbers in the two adjacent circles. She has already written two numbers. Which number will she write in the grey ci rcle?

4 points

ABCDE

Question 13

Q14. Sanja has two bowls containing numbered balls. In the left bowl, there are seven balls with the numbe rs 1, 2, 6, 7,

4 points

ABCDE

Question 14

Q15. Theo is standing on a treadmill in the gym. He sees two stopwatches. The left one shows the time that has elapsed since he started his workout. The right one shows the time remaining until the end of his work out. At some point both stopwatches will display the sam e time. What will they display at that point?

4 points

ABCDE

Question 15

Q16. In a room, there are 10 more people who always tel l the truth than there are people who always lie. E veryone in the room was asked: "Are you telling the truth?" an d all 20 people answered yes. How many liars are there in the room?

4 points

ABCDE

Question 16

Q17. A bee, a mouse, a beetle and a cat want to take a group photo. To do this, they line up next to each other. The cat is not allowed to st and next to the mouse. In how many different ways can the animals line up ?

4 points

ABCDE

Question 17

Q18. The two bookworms Linki and Rechti eat their way th rough the books. Linki starts on the left, and Rech ti starts on the right. They start at the same time. Linki eats his way through a book cover in 3 days and through all the pages of a book in 2 days. Rechti eats his way through a book cover in 1 day and through all the pages of a book in 2 days. In which book (see illustration) do the two meet?

4 points

ABCDE

Question 18

Q19. Emus, snakes and kangaroos live together on an Aus tralian farm. Emus have two legs but no tail. Kanga roos have four legs and a tail. Snakes have no legs but a tai l. All animals have two eyes. Together they have 18 eyes, 7 tails and 24 legs. How many kangaroos live on the farm?

4 points

ABCDE

Question 19

Q20. Elke draws quarter circles on a sheet of paper mea suring 12 cm x 9 cm. The centres of the quarter circles are in the four corners. He paints the resulting area in the middle of the illustration, which is not to scale. How long is the distance with the question mark?

4 points

ABCDE

Question 20

Q21. In the six-digit number PAPAYA , different letters stand for different digits and identical letters stand for identical digits. Furthermore, . What is the value of ?

5 points

ABCDE

Question 21

Q22. Manuela shoots at a goal a total of 17 times in two soccer training sessions. In the first training se ssion, she hits the goal with 60% of her shots. In the second train ing session, she hits the goal with 75% of her shot s. How often does she hit the goal in the second training sessio n?

5 points

ABCDE

Question 22

Q23. Louise places three rectangular pictures as shown in the figure. What is the size of angle α?

5 points

ABCDE

Question 23

Q24. Anurag lives 1 km from his school. He sets off for school at the same time every day. If he walks, he walks at a speed of 4 km/h. If he cycles, he cycles at a speed of 15 km/h. When he walks, he arrives 5 minutes before school starts. How many minutes before school starts does he arri ve if he cycles?

5 points

ABCDE

Question 24

Q25. In the rectangle the points and lie on the side (see diagram), so that ∠ ∠ 45° and 20 cm . How long is the side ?

5 points

ABCDE

Question 25

Q26. If the height of a cuboid is reduced by 3 cm , its surface area decreases by 60 cm 2 and a cube is formed. What is the volume of the original cuboid in cm 3 ?

5 points

ABCDE

Question 26

Q27. In the quadrilateral , the points and are marked on the sides and , so that 2⋅ and . The areas of the two triangles and are known (see graphic). What is the area of the quadrilateral ?

5 points

ABCDE

Question 27

Q28. Martin wants to fill the cells in the diagram show n such that each cell contains either a cross or a circle. No column, row or diagonal should cont ain a series of four consecutive identical symbols. What will the grey column contain in the c ompleted diagram?

5 points

ABCDE

Question 28

Q29. The letters !,#,$,% and & stand for five consecutive positive integers, but not necessarily in this order. The following applies: ! # 69 and % & 72 . Which number does $ stand for?

5 points

ABCDE

Question 29

Q30. The friends Annie, Bibi, Clara and Doris each live on a different floor of a four-story building. There are also other people living in the building. 25 people live above Annie. 5 people live below Bibi. 17 people live below Clara. 22 people live ab ove Doris. How many people live in the building in total?

5 points

ABCDE

Question 30

2025 Kadett Test | Test and Chat