2016 Kadett Test | Test and Chat

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2016 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. How many natural numbers are there between 3 . 17 an d 20 . 16?

3 points

ABCDE

Question 1

Q2. W hich of the road signs has the most ax e s of symmetry ?

3 points

ABCDE

Question 2

Q3. W hat is the sum of the two marked angles ?

3 points

ABCDE

Question 3

Q4. Jim should have add ed 26 to a certain number. Instead he subtract ed 26 and obtained  14. What is the result he would have obtained had he added 26 ?

3 points

ABCDE

Question 4

Q5. A card has a diagram printed on one side and the other side is plain white. The card is first flipped over downwards and then to the right (see diagram) . W hich picture is obtain ed ?

3 points

ABCDE

Question 5

Q6. 45 teachers at Anna ’ s school, that ’ s 60% of all teachers, come to school by bike. Only 12% of the teachers come to school by car. How many teachers from Anna ’ s school come to school by car ?

3 points

ABCDE

Question 6

Q7. Renate puts 555 little piles of 9 ston es each together on one big pile . Then she splits this big pile into little groups of 5 stones each. How many such groups does Renate obtain ?

3 points

ABCDE

Question 7

Q8. I n the rectangle ABCD the side AD is 10 cm l o ng. M a nd N are the midpoints of the sides AB a nd CD respectively . How big is the grey area?

3 points

ABCDE

Question 8

Q9. Alex ha s a 1 m lo ng a nd a 2 m l o ng rope . He cuts up both ropes so that all pieces are of equal length. Which of the following number of pieces can he not obtain in this way?

3 points

ABCDE

Question 9

Q10. During a cycle race starting at D and finishing at B every connecting road (between the towns A, B, C and

3 points

DABCE

Question 10

Q11. Within the square ABCD there are four identical rectangle s (see diagram). The perimeter of each rectangle is 16 cm. What is the perimeter of this square ?

4 points

ABCDE

Question 11

Q12. Petra ha s 49 blue a nd one red pea rl. How many of the blue pearl s does Petra have to take away so that 90 % of the pearls are blue ?

4 points

ABCDE

Question 12

Q13. W hich of the following fractions is closest to ? 2

4 points

ABCDE

Question 13

Q14. Igor writes down all results of the quarter finals, the semi finals and the final of a tennis tournament. The results are listed in random order . Bert beats Anton, Carl beats Damien, Glen beats Henry, Glen beats Carl, Carl beats Bert, Edon beats Fred, Glen beats Edon. W ho is playing th e final ?

4 points

ABCDE

Question 14

Q15. Anne ha s glued together some cubes and has obtained the solid shown on the right. She turns it around to check it out from different sides. Which view can she not obtain ?

4 points

ABCDE

Question 15

Q16. Tim, Tom a nd Jim are triplets . Their twin brothers John a nd James are 3 years younger . All five are having their birthday s today. Which of the following numbers could be the sum of the ages of the five brothers ?

4 points

ABCDE

Question 16

Q17. A 3 cm wide strip of paper is dark on one side and light on the other . The folded strip of paper lies exactly within a rectangle with length 27 cm a nd width 9 cm (see diagram ). How long is the strip of paper ?

4 points

ABCDE

Question 17

Q18. The two kangaroos Jump a nd Hop both jump at the same time from the same starting line in the same direction . Both of them jump exactly once per second . Jump always jumps 6 m . Hop first jumps 1 m, then 2 m, then 3 m etc. After how many jumps does Hop catch up with Jump?

4 points

ABCDE

Question 18

Q19. S even identical dice ( each with 1, 2, 3, 4, 5 a nd 6 points on their faces ) are glued together to form the solid shown . Faces that are glued together each have the same number of points . How many points can be seen on the surface of the solid ?

4 points

ABCDE

Question 19

Q20. There are 20 girls and boys in total in a class . Always two students share a desk so that one third of the boys share a table with a girl and half the girls share a desk with a boy. How many boys are in this class ?

4 points

ABCDE

Question 20

Q21. In a square with area 36 there are grey parts as shown in the diagram . The sum of the areas of all grey parts is 27 . How long are the distances a, b, c a nd d together ?

5 points

ABCDE

Question 21

Q22. Theos watch runs 10 minutes slow but he thinks it runs 5 minutes fast. Leos watch runs 5 minutes fast but he thinks it runs 10 minutes slow . Both check their own watch at the same time . Theo thinks it is 12:00 o ’ clock . What time does Leo think it is ?

5 points

ABCDE

Question 22

Q23. Twelve girls met up in a pastry shop . On average they ate 1. 5 m uffins. None of them ate more than two muffins and two ate nothing. How many girls ate two muffins ?

5 points

ABCDE

Question 23

Q24. Little Red Riding Hood is taking waffles to three grandmothers. Initially her basket is completely full . Just before she reaches the houses of each grandmother, the wolf each time eats half of the waffles that are in the basket . When she leaves the house of the third grandmother, the basket is empty. Each grandmother gets the same amound of w affles . The original amount of waffles can definitely be divided by which of the following numbers ?

5 points

ABCDE

Question 24

Q25. A big cube is made up of 64 small cubes. Exactly one of these cubes is grey (see diagram). Two cubes are neighbours if they share a common face. On day one the grey cube colours all its neighbouring cubes grey . On day two all grey cubes again colour all their neighbouring cubes grey. How many of the 64 little cubes are grey at the end of t he second day ?

5 points

ABCDE

Question 25

Q26. Natural numbers are w ritten on a board, of which no two are the same . The product of the two smallest numbers is 16, the product of the two biggest is 225 . What is the sum of all numbers written on t he board ?

5 points

ABCDE

Question 26

Q27. The diagram shows a pentagon and indicates the length of each side. Five circles are drawn with centres A, B, C, D a nd E. On each side of the pentagon the two circles that are draw n around the ends of that side touch each other. W hich point is the centre of the biggest circle ?

5 points

ABCDE

Question 27

Q28. Susi writes a different positive whole number on each of the 14 cubes of the pyramid (see diagram ). The sum of the numbers, which she writes on the nine cubes that lie on the bottom, is 50. The number on every remaining cube is equal to the sum of the numbers of the four cub es that are directly underneath . What is the biggest number that can be written o n the topmost cube ?

5 points

ABCDE

Question 28

Q29. In every one of the five carriages of a t rain there is at least one passe nger. Two passengers are said to be neighbouring i f they are either in the same carriage or in two successive carriag es . Each passenger has either got exactly 5 or exactly 10 neighbours . How many passengers are on the train ?

5 points

ABCDE

Question 29

Q30. A cube of side length 3 consists of 15 black and 12 white unit cubes . In the diagram fi v e of the six faces of the big cube can be seen . W hich of the regions shown below is the 6th face of the big cube ?

5 points

ABCDE

Question 30

2016 Kadett Test | Test and Chat