2021 Kadett Test | Test and Chat

Back to KangarooMath

2021 Kadett (Grade 7 - 8)

Questions: 30 | Answered: 0

Q1. Which of the following symbols for signs of the Zodiac has an axis of symmetry?

3 points

ABCDE

Question 1

Q2. The figure shows three concentric circles with four lines passing through their com- mon centre. What percentage of the figure is shaded?

3 points

ABCDE

Question 2

Q3. What is the value of ?

3 points

ABCDE

Question 3

Q4. How many four - digit numbers have the property that their digits, from left to right, are consecutive and in ascending order?

3 points

ABCDE

Question 4

Q5. When the 5 pieces are fitted together correctly, the result is a rectangle with a calculation written on it. What is the answer to this calculation?

3 points

ABCDE

Question 5

Q6. Each of t he five vases shown has the same height and each has a volume of 1 litre. Half a litre of water is poured into each vase. In which vase would the level of the water be the highest?

3 points

ABCDE

Question 6

Q7. A student correctly added the two two - digit numbers on the left of the board and got the answer 137. What answer will he get if he adds the two four - digit numbers on the right of the board?

3 points

ABCDE

Question 7

Q8. A cube 333  is made from 111  white, grey and black cu- bes, as shown in the first diagram. The other two diagrams show the white part and the black part of the cube. Which of the fol- lowing diagrams shows the grey part?

3 points

ABCDE

Question 8

Q9. A bike lock has four wheels numbered with the digits 0 to 9 in order. Each of the four wheels is rotated by 180° from the code shown in the first diagram to get the correct code. What is the correct code for the bike lock?

3 points

ABCDE

Question 9

Q10. Byron is 5cm taller than Aaron, but 10cm shorter than Caron. Darren is 10cm taller than Caron, but 5cm shorter than Erin. Which of the following statements is true?

3 points

ABCDE

Question 10

Q11. A rectangular chocolate bar is made of equal squares. Neil breaks off two complete strips of squares and eats the 12 squares he obtains. Later, Jack breaks off one complete strip of squares from the same bar and eats the 9 squares he o btains. How many squares of chocolate are left in the bar?

4 points

ABCDE

Question 11

Q12. A jar one fifth filled with water weighs 560 g. The same jar four fifths filled with water weighs 740 g. What is the weight of the empty jar?

4 points

ABCDE

Question 12

Q13. The area of the large square is 16 cm 2 and the area of each small square is 1 cm 2 . What is the total area of the central flower in cm 2 ? 7 11

4 points

ABCDE

Question 13

Q14. Costa is building a new fence in his garden. He uses 25 planks of wood, each of which are 30 cm long. He arranges these planks so that there is the same slight overlap between any two adjacent planks. The total length of Costa's new fence is 6.9 metres. What is the length in centimetres of the overlap between any pair of adjacent planks?

4 points

ABCDE

Question 14

Q15. Five identical right - angled triangles can be arranged so that their larger acute angles touch to form the star shown in the diagram. It is also possible to form a different star by arranging more of these triangles so that their smaller acute angles touch. How many triangles are needed to form the second star?

4 points

ABCDE

Question 15

Q16. Five squares are positioned as shown. The small square indicated has area 1. What is the value of ℎ ?

4 points

ABCDE

Question 16

Q17. There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores − 4 points, and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he leave blank?

4 points

ABCDE

Question 17

Q18. A rectangular strip of paper of dimensions 4cm  13cm is folded as shown in the diagram. 2 rectangles are formed with areas 푃 and 푄 where PQ = 2 . What is the value of x ?

4 points

ABCDE

Question 18

Q19. A box of fruit contains twice as many apples as pears. Christy and Lily divided them up so that Christy had twice as many pieces of fruit as Lily. Which one of the following statements is always true?

4 points

ABCDE

Question 19

Q20. Three villages are connected by paths as shown. From Downend to Uphill, the detour via Middleton is 1km longer than the direct path. From Downend to Middle- ton, the detour via Uphill is 5km longer than the direct path. From Uphill to Middle- ton, the detour via Dow nend is 7km longer than the direct path. How long is the shortest of the three direct paths between the villages?

4 points

ABCDE

Question 20

Q21. 5 friend s talk about their collected astro - pins planets: , moons: or stars: . Xenia says: "I have an even number of pins", Zach: "Half of my pins are planets, Sue: "I don't have any moons", Paul: "I have more moons than stars" and Yvonne: "I have more stars than planets". Below are the collections of the 5 friends. Which set of pins belongs to Yvonne?

5 points

ABCDE

Question 21

Q22. In a particular fraction the numerator and denominator are both positive. The numerator of this fraction is increased by 40%. By what percentage should its denominator be decreased so that the new fraction is double the original fraction?

5 points

ABCDE

Q23. A triangular pyramid is built with 20 cannon balls, as shown. Each cannon ball is labelled with one of A, B, C, D or E. There are 4 cannon balls with each type of label. The picture shows the labels on the cannon balls on 3 of the faces of the pyramid. What is the label on the hidden cannon ba ll in the middle of the fourth face?

5 points

ABCDE

Q24. The 6 - digit number 2ABCDE is multiplied by 3 and the result is the 6 - digit number ABCDE2 . What is the sum of the digits of this number?

5 points

ABCDE

Q25. A box contains only green, red, blue and yellow counters. There is always at least one green counter amongst any 27 counters chosen from the box; always at least one red counter amongst any 25 counters chosen; always at least one blue amongst any 22 counters chosen and always at least one yellow amongst any

5 points

ABCDE

Q26. 2021 coloured kangaroos are arranged in a row and are numbered from 1 to 2021. Each kangaroo is col- oured either red, grey or blue. Amongst any three consecutive kangaroos, there are always kangaroos of all three colours. Bruce guesses the colours of five kangaroos. These are his guesses: Kangaroo 2 is grey; Kanga- roo 20 is blue; Kangaroo 202 is red; Kangaroo 1002 is blue; Kangaroo 2021 is grey. Only one of his guesses is wrong. What is the number of the kangaroo whose colour he guessed incorrectly?

5 points

ABCDE

Question 26

Q27. A 3  4 5 cuboid consists of 60 identical small cubes. A termite eats its way along the diagonal from 푃 to 푄 .This diagonal does not intersect the edges of any small cube inside the cuboid. How many of the small cubes does it pass through on its journey?

5 points

ABCDE

Question 27

Q28. In a town there are 21 knights who always tell the truth and 2000 knaves who always lie. A wizard divided

5 points

ABCDE

Question 28

Q29. In a tournament each of the 6 teams plays one match against every other team. In each round of matches, 3 take place simultaneously. A TV station has already decided which match it will broadcast for each round, as shown in the diagram. In which round will team D play against team F?

5 points

ABCDE

Question 29

Q30. The diagram shows a quadrilateral divided into 4 smaller quadrilaterals with a com- mon vertex K . The other labelled points divide the sides of the large quadrilateral into three equal parts. The numbers indicate the areas of the corresponding small quadrilat- erals. What is the area of the shaded quadrilateral?

5 points

ABCDE

Question 30

2021 Kadett Test | Test and Chat