2011 Kadett Test | Test and Chat

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2011 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. Which of the following calculations give the biggest result?

3 points

ABCDE

Question 1

Q2. Elsa has 3 tetrahedra and 5 dice. How many faces do these eight objects have altogether?

3 points

ABCDE

Question 2

Q3. A zebra crossing has alternating white and black stripes each 50 cm wide. The first stripe is white and the last one is white. The zebra crossing in front of our school has 8 white stripes. How wide is the road?

3 points

ABCDE

Question 3

Q4. My calculator has gone mad. If I want to multiply, it divi des and if I want to add, it subtracts. I type in (12 × 3)+(4 × 2)=. Which result will it give me?

3 points

ABCDE

Question 4

Q5. My digital clock just showed 20:11. In how many minut es will it again show the digits 0, 1, 1, 2 in any order?

3 points

ABCDE

Question 5

Q6. In the picture on the right we can see three squares. The corners of the middle square are on the midpoints of the sides of the larg er square, and the corners of the smaller square are on the midpoints of the sides of the middle square. The area of the small 2 square is 6 cm . What is the area of the big square?

3 points

ABCDE

Question 6

Q7. The 17 houses in my street are numbered consecutively on one side with the odd num bers 1, 3, 5… and on the other side with the numbers 2, 4, 6, …. My hou se is the last one on the even side and has the number

3 points

ABCDE

Question 7

Q8. Felix the Tomcat catches 12 fish in 3 days. On the second day he catches more than on the first. On the third day he catches more than on the second but less than on the first two days together. How many fish does he catch on day three?

3 points

ABCDE

Question 8

Q9. From all whole numbers between 100 and 1000 whose dig its sum to 8, the smallest and the largest number are chosen. How big is the sum of those two numbers?

3 points

ABCDE

Question 9

Q10. In the picture on the right we see an L-shaped object which is made up of four squares. We would like to add another equally big square so that the new object has a line of symmetry. How many ways are there to achieve this?

3 points

ABCDE

Question 10

Q11. =

4 points

ABCDE

Question 11

Q12. Marie has 9 pearls which weigh in order 1 g, 2 g, 3 g, 4 g, 5 g, 6 g, 7 g, 8 g and 9 g. She makes four rings each with two pearls. The pearls on those rings weigh in order 17 g, 13 g, 7 g and 5 g. How much does the pearl which has not been used weigh?

4 points

ABCDE

Question 12

Q13. Fridolin the hamster runs through the maze shown on the right. On the path there are 16 pumpkin seeds. He is only allowed to cross each junction once. What is the maximum number of pumpkin s eeds that he can collect?

4 points

ABCDE

Question 13

Q14. The list 17, 13, 5, 10, 14, 9, 12, 16 are the points scored in a test. Which two scores can be removed without changing the average value of the list?

4 points

ABCDE

Question 14

Q15. Each area in the picture on the right should be coloured using one of the colours, red (R), green (G), blue

4 points

BACDE

Question 15

Q16. A square piece of paper is cut into six rectangular pieces as shown on the right. The sum of the perimeters of the six pieces is 120 cm. How big is the area of the square?

4 points

ABCDE

Question 16

Q17. In a tournament FC Barcelona scored three goals and conceded one goal. The team won once, lost once and drew once in the tourname nt. What was the score in the game that FC Barcelona won?

4 points

ABCDE

Question 17

Q18. Louise draws a line DE of length 2cm. How many ways are there for her to add a point F so that a right- angled triangle DEF with area 1 cm² can be formed?

4 points

ABCDE

Question 18

Q19. The positive number a is smaller than 1 and the number b is greater than 1. Which of the following numbers is biggest?

4 points

ABCDE

Question 19

Q20. The dark line halves the surface area of the dice shown on the right. Which drawing could represent the net of the die?

4 points

ABCDE

Question 20

Q21. The five-digit number 24X8Y is divisible by 4, 5 and 9. What is the sum of X and Y?

5 points

ABCDE

Question 21

Q22. Lina has placed two tiles on a square ga me board. Which one of the 5 counters shown, can she add, so that none of the remaining four counters can be placed anymore?

5 points

ABCDE

Question 22

Q23. Each one of the three birds Isaak, Max and Oskar has its own nest. Isaak says: “I am more than twice as far away from Max as I am from Oskar”. Max says: “I am more than twice as far away from Oskar as I am from Isaak”. Oskar says: ”I am more than twice as far away from Max as I am from Isaak”. At least two of them speak the truth. Who is lying?

5 points

ABCDE

Question 23

Q24. On the inside of a square with side length 7 cm another square is drawn with side length 3 cm. Then a third square with side length 5 cm is drawn so that it cuts the first two as shown in the picture on the right. How big is the difference between the black area and the grey area?

5 points

ABCDE

Question 24

Q25. Myshko shoots at a target board. He only hits the numbe rs 5, 8 and 10. In doing so he hits the numbers 8 and 10 equally often and scores a total of 99 points. For 25% of his shots he missed the target board completely. How often did he shoot at the target board?

5 points

ABCDE

Question 25

Q26. In a convex quadrilateral ABCD with AB = AC, the following holds true: ∠ BAD = 80 , ∠ ABC = 75 ,  ∠ ADC = 65 . How big is ∠ BDC ? (Note: In a convex quadrilateral all internal angles are less than

5 points

ABCDE

Question 26

Q27. Seven years ago Eva’s age was a multiple of 8. In ei ght years it will be a multiple of 7. Eight years ago Raffi’s age was a multiple of 7. In seven years it will be a multiple of 8. Which of the following statements can be true?

5 points

ABCDE

Question 27

Q28. Which is the smallest possible positive, whole number value of the K × A × N × G × A × R × O × O expression, if different letters stand for different digits not equal to G × A × M × E 0 and the same letters stand for the same digits?

5 points

ABCDE

Question 28

Q29. The figure on the left consists of two rectangles. Two side lengths are marked: 11 and 13. The figure is cut into three parts along the two lines drawn inside. These can be put together to make the triangle shown on the right. How long is the side marked x?

5 points

ABCDE

Question 29

Q30. Mark plays a computer game in a 4 × 4 table. The cells each have a colour which is initially hidden. If he clicks into a cell it changes to red or blue. He knows that there are exactly two blue fields and that they share one side line. Which is the smallest number of clicks with which he can definitely find the blue cells?

5 points

ABCDE

Question 30

2011 Kadett Test | Test and Chat