2013 Kadett Test | Test and Chat

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2013 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. Triangle ABC is equilateral and has area 9. The dividing lines are parallel to the sides, and divide the sides into three equal lengths. What is the area of the grey shaded part of the triangle?

3 points

ABCDE

Question 1

Q2. We know that 1111 = 11 . How big is the sum += ?

3 points

ABCDE

Question 2

Q3. In sea water the ratio of Salt to fresh water is 7 : 193. How many kilograms of salt will be found in 1000kg of sea water?

3 points

ABCDE

Question 3

Q4. Melanie has a square piece of paper with a 4x4 grid drawn on it. She cuts along the gridlines and cuts several shapes out which all look either the same as the one pictured, or the same as its mirror image. How many squares are left over if she cuts out as many shapes as possible?

3 points

ABCDE

Question 4

Q5. Matthias catches fish. If he had caught three times as many fish as he has actually caught, he would have 12 fish more. How many fish has he caught?

3 points

ABCDE

Question 5

Q6. A sack cont ains marbles in five different colours: 2 red, 3 blue, 10 white, 4 green, and 3 black marbles. You take marbles out of the bag without looking and without putting them back. What is the smallest number of marbles you must remove from the sack to be sure of having two of the same colour?

3 points

ABCDE

Question 6

Q7. Alex lights a candle every 10 minutes. Each candle burns for 40 minutes before going out. How many candles are burning 55 minutes after he lit the first candle?

3 points

ABCDE

Question 7

Q8. Marie calculates the average number of children in families in her village. Five families live in the village. Which answer could she not get?

3 points

ABCDE

Question 8

Q9. Tom a nd Laura stand directly opposite each other around a circular well. At the same time, they begin to run 9 clockwise around the well. Tom's speed is 8 of Laura's speed. How many time full laps of the well will laura run before Tom catches her for the first time?

3 points

ABCDE

Question 9

Q10. For the positive whole numbers x, y, z the following is true: x × y = 14 , y × z = 10 und z × x = 35. What is the value of x + y + z?

3 points

ABCDE

Question 10

Q11. Anne plays 'sink the ship' with a friend, on a 5 × 5 grid. She has already drawn in a 1 × 1 ship and a 2 × 2 ship (as shown in the picture). She must also draw a (rectangular) 3 × 1 ship. Ships may be neither directly nor diagonally adjacent to each other. Ho w many possible positions are there for the 3 × 1 ship?

4 points

ABCDE

Question 11

Q12. 04.2000 a nd 23.04.2000 respectively . Andi a nd Edi have their birthday in the same month. Berti a nd Christa also have their birthday in the same month. An di a nd Christa were born on the same day in different months . Doris a nd Edi were also born on the same day in different months. Which of these children is the youngest?

4 points

ABCDE

Question 12

Q13. The perimeter of a trapezium is 5, and the side lengths are whole numbers. How many degrees do the smallest angles measure?

4 points

ABCDE

Question 13

Q14. The five shapes pictured were cut out of paper . Four of them can be folded to form a cube. For which shape is this not possible.

4 points

ABCDE

Question 14

Q15. Willi wrote down a few consecutive whole numbers. A certain percentage of these numbers are odd. Which of the following values cannot be the calculated percentage?

4 points

ABCDE

Question 15

Q16. Aron, Ben a nd Carl always lie. Each of them picks a red or a green stone. Aron says : " My stone has the same colour as Bens stone ." Ben says : " My stone has the same colour as Carls stone ." Carl says : " Exactly two of us have red stones ." Which of the following is correct ?

4 points

ABCDE

Question 16

Q17. All four digit positive numbers, which have the same digits as 2013 were written on a blackboard in ascending order. Determine the largest possible difference between two consecutive numbers on the blackboard.

4 points

ABCDE

Question 17

Q18. In the 8 × 6 grid pictured, there are 24 squares that have not been cut by either of the two diagonals. Now we draw the two diagonals on a 10 × 6 grid. How many squares in this grid will not be cut by either of the two diagonals?

4 points

ABCDE

Question 18

Q19. Andi, Berti, Christa, Doris a nd Edi were born on the following days; 20.02.2000, 12.0 3.2000, 20.03 .2000,

4 points

ABCDE

Question 19

Q20. Johann stacked 1 × 1 cubes on the squares of a 4 × 4 grid. The diagram on the right shows the number of cubes th at were stacked on top of each other above each square. What will Johann see if he looks from the back (hinten) at the tower?

4 points

ABCDE

Question 20

Q21. Ralf wants to say a number to Karl, such that the product of its digits is exactly 24. What is the digit sum of the smallest number that Ralf can say?

5 points

ABCDE

Question 21

Q22. The sides of the rectangle ABCD are pa rallel to the co - ordinate axes. The rectangle is positioned below the x - axis and to the right of the y - axis, as shown in the picture. The co - ordinates of the points A, B, C, D are whole numbers. For each of the points we calculate the value of (y co - ordin ate) ÷ (x co - ordinate). Which of the points will give the smallest value?

5 points

ABCDE

Question 22

Q23. On a sheet of paper a grid is drawn such that each of the squares has sides 2cm long. How big is the area of the grey shaded quadrilateral ABCD?

5 points

ABCDE

Question 23

Q24. Robert chose a five digit positive number. He remo ved one of the digits so that a four digit number remained. The sum of this four digit and the original five digit number is 52713. What is the digit sum of the original five digit number?

5 points

ABCDE

Question 24

Q25. A gardener wants to plant a row of 20 trees (linden and oak) in a park. There must never be exactly three trees between any two oak trees. What is the maximum number of the 20 trees which could be oak?

5 points

ABCDE

Question 25

Q26. In the finishing order of a cross countr y race, there are twice as many runners behind Alex as there are before Daniel, and 1 ⋅ 5 as many behind Daniel as before Alex. Alex finished in 21st place. How many runners finished the race?

5 points

ABCDE

Question 26

Q27. A sequence of numbers be gins with 1, - 1, - 1, 1, - 1. Each new number is found by taking the product of the two preceding numbers. For instance the sixth number is the product of the fourth and fifth numbers. What is the sum of the first 2013 numbers?

5 points

ABCDE

Question 27

Q28. Dad made 6 pancakes, one after the other, and numbered them 1 to 6 in the order that they were made. Sometimes while he did this his children ran into the kitchen and ate the hottest pancakes. In which of the following orders could the pancakes not have b een eaten.

5 points

ABCDE

Question 28

Q29. Each of the 4 vertices and 6 edges of a tetrahedron is labelled with one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 11. ( The number 10 is left out ). Each number is only used once. The number on each edge is the sum of the numbers on the two vertices which are connected by that edge. The edge AB has the number 9. With which number is the edge CD labelled?

5 points

ABCDE

Question 29

Q30. Four cars drive into a roundabout at the sam e point in time, each one coming from a different direction (see diagram). No car drives all the way around the roundabout, and no two cars leave at the same exit. In how many different ways can the cars exit the roundabout?

5 points

ABCDE

Question 30

2013 Kadett Test | Test and Chat