2022 Kadett Test | Test and Chat

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2022 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. What is (20+22) ÷ (20−22) = ?

3 points

ABCDE

Question 1

Q2. Meike padd les around five buoys with her boat (see diagram) . Which of the buoys does she paddle around in a clockwise direction ?

3 points

ABCDE

Question 2

Q3. Beate arranges the five cards so that the smallest nine - digit number is created. Which card is furthest on the right ?

3 points

ABCDE

Question 3

Q4. The numbers 3, 4, 5, 6, 7 are written inside the five circles of the shape . The product of the numbers in the four outer circles is 360. W hich number is in the inner circle ?

3 points

ABCDE

Question 4

Q5. Anna, Beatrice a nd Clara altogether are 15 years old . Anna a nd Beatrice together are 11 years old . Beatrice a nd Clara together are 12 years old . How old is the oldest of the three ?

3 points

ABCDE

Question 5

Q6. Kengu likes to jump on the number line. He starts at 0 , then always starts with two big jumps and then three small jumps (see diagram) . He keeps repeating this in the same way , over and over again . On which of the following number s will he land in the course of his jumps ?

3 points

ABCDE

Question 6

Q7. Otto attaches the number plate to his car the wrong way round, i.e. upside down. Luckily it doesn’t matter because the number plate looks exactly the same this way. W hich of the following number plates could be the one from Otto ?

3 points

ABCDE

Question 7

Q8. Sonja builds the cube shown , out of equal ly sized bricks . The shortest side of one brick is 4 cm l o ng . W hat dimensions in cm does one brick have ?

3 points

ABCDE

Question 8

Q9. The black - white caterpillar shown , rolls up to go to sleep . W hich diagram could show the rolled - up caterpillar ?

3 points

ABCDE

Question 9

Q10. Gerhard writes down the sum of the squares of two numbers . Unfortunately , some ink has run out (see diagram) and therefore we cannot read all the digits . What is the last digit of the first num b er ?

3 points

ABCDE

Question 10

Q11. There are five gaps in the following calculation . Adriana wants to write a „+“ into four of the gaps and a „−“ into one of the gaps so that the equation is correct . Where does she have to insert the „−“?

4 points

ABCDE

Question 11

Q12. There are 5 trees and 3 paths in a park as shown on the map . Another tree is planted so that there is an equal number of trees on both side s of each path . In which section of the park will the new tree be planted ?

4 points

ABCDE

Question 12

Q13. The distance between two shelves in Monika’s kitchen is 36 cm. She knows that a stack of 8 identical glasses is 42 cm high and a stack of 2 such glasses is 18 cm high . How many glasses has the biggest stack that will fit between two shelves ?

4 points

ABCDE

Question 13

Q14. On an ordinary die the numbers on opposite sides always add up to 7. Four such dice are glued together as shown. A ll numbers that can still be seen on the outside of the solid are added together . W hat is the minimum of that total?

4 points

ABCDE

Question 14

Q15. How many integers between 100 a nd 300 have only odd digits ?

4 points

ABCDE

Question 15

Q16. Gardener Toni plants tulips a nd sunflowers in a square flowerbed with side length 12 m, as shown in the diagram . How big is the entire area where sunflowers are planted ?

4 points

ABCDE

Question 16

Q17. There are two clocks in my office. One of which is one minute fast every hour and the other one is two minutes behind every hour. Yesterday I have set them both on the correct time but when I checked today, one clock said

4 points

ABCDE

Question 17

Q18. Werner ha s written some numbers on a piece of paper whose sum is 22. Ria ha s then subtracted each number from 7 and has also written down the results. The sum of Ria ’s number s is 34. How many numbers has Werner written down ?

4 points

ABCDE

Question 18

Q19. The big rectangle ABCD is made up of 7 congruent smaller rectangles (see diagram) . 퐴퐵 What is the ratio ? 퐵퐶

4 points

ABCDE

Question 19

Q20. Two identical bricks can be placed side by side in three different ways as shown in the diagrams. The surface areas of the resulting cuboids are 72, 96 a nd 102 cm² . What is the surface area ( in cm² ) of one brick ?

4 points

ABCDE

Question 20

Q21. Jenny writes numbers into a 3  3 t able so that the sums of the four numbers in each 2  2 area of the table are the same. The numbers in three of the cells in the corner can already be seen in the diagram . W hich number does she write into the cell in the fourth corner ?

5 points

ABCDE

Question 21

Q22. A shape is made up of a triangle and a circle that partially overlap. The grey area is 45 % of the entire area of the shape . The white part of the triangle is 40 % of the tota l area of the shape . What percent of the area of the circle is the white part , outside the triangle ?

5 points

ABCDE

Question 22

Q23. T he numbers 1 to 8 are written into the circles shown so that there is one number in each circle. Along each of the five straight arrows the three numbers in the circles are multiplied. Their product is written next to the tip of the arrow. How big is the sum of the numbers in the three circles on the lowest row of the diagram ?

5 points

ABCDE

Question 23

Q24. By bike it takes Marc 20 minutes to go from home to school and back. He rides the entire distance with a constant speed. By foot it takes him 60 minutes for the same distance . He also walks with a constant speed. Yesterday Marc took his bike to go to Eva’s house which is on the way to school. He left the bike there and continued on foot to school. On the way home he first walked to Eva’s house and then cycled the rest of the way back home. He needed 52 minutes for the entire journey (from home to school and back home). Which part of his journey did he cover by bike ?

5 points

ABCDE

Question 24

Q25. The four villages A, B, C a nd D are situated (n o t n ecessarily in this order) along a straight road . The village s A a nd C are 75 km away from each other , B a nd D 45 km away from each other a nd B a nd C 20 km away from each other . W hich of the following distances cannot be the distance from A to D ?

5 points

ABCDE

Question 25

Q26. A painter wants to mix 2 litres of blue paint with 3 litres of yellow paint to obtain 5 litres of green paint. He accidentally uses 3 litres of blue paint and 2 litres of yellow paint and thus produces the wrong shade of green. What is the minimum amount o f this green paint he has to throw away so that he can use the rest to add blue or yellow paint in order to get exactly 5 litres of the correct shade of green ?

5 points

ABCDE

Question 26

Q27. What is the minimum number of cells of a 5  5 grid that have to be coloured in so that every possible 1  4 rectangle and every 4  1 rectangle respectively in the grid has at least one cell coloured in ?

5 points

ABCDE

Question 27

Q28. Mowgli asks a bear and a panther which day of the week it is. The bear always lies on Monday, Tuesday and Wednesday. The panther always lies on Thursday, Friday and Saturday. On all other days the y both always speak the truth. The bear says : „ Yesterday was one of my lying days .“ The panther says : „ Yesterday was also one of my lying days .“ On which day of the week did this conversation take place ?

5 points

ABCDE

Question 28

Q29. Some points are marked on a straight line . Renate ma rks another point between every pair of adjacent points. She repeats this process three more times . Now 225 points are marked on the straight line. How many points were there to begin with ?

5 points

ABCDE

Question 29

Q30. In total there are 2022 kangaroos and some koalas living within seven parks. A s many kangaroos live i n each park as there are koalas in all other parks together . How many koalas in total live in the seven parks ?

5 points

ABCDE

Question 30

2022 Kadett Test | Test and Chat