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KJSEA Grade 9 Mathematics revision paper set 2 - solved in video format

A group of students are making posters to advertise for a bake sale. 12 large signs and 60 small signs are needed. It takes 10 minutes to paint a small sign and 30 minutes to paint a large sign. How many students will be needed to paint all of the signs in 2 hours or less? (2mks)

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1. A teacher wrote the work below on a card and showed to her class. Calculate the answer in the following task: 895 + 1 025 ÷ 5? A. 384 B. 1 100 C. 380 D. 95 ( free video lesson)

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6. The ratio between the number of Anita’s cousins and the number of John’s cousins is 5:8. If Anita has 15 cousins, how many cousins does John have? A. 5 B. 8 C. 24 D. 40 ( free video lesson)

7. If 25 learners took an exam and 4 of them failed. What percentage of them have passed the exam? A. 80% B. 84% C. 85% D. None ( free video lesson)

8. What is the volume of a rectangular box whose length, breadth and height is 2p, 4q and 8r respectively? A. 14pqr B. 2p + 4q + 8r C. 64pqr D. 64 ( free video lesson)

9. Which of the following best describes the solutions to the inequality shown below? 3l - 6 ≥ 8 A. l ≥ 1 B. l ≥ 2 C. l ≥ 4 D. 3l ≥ 14 ( free video lesson)

10. Solve the equation : 2x + 8 = 20 A. x = 14 B. x = 8 C. x = 6 D. x = 10 ( free video lesson)

11. A ship sails 6 km East and then 8 km North. Find the ship’s distance from its starting point. A. 14 km B. 10 km C. 29 km D. 2 km ( free video lesson)

12. What is the length of the pair of scissors below? A. 9 cm B. 7 m C. 8 cm D. 7 cm ( free video lesson)

13. The following figure is a parallelogram. Find its area in m2 #A.36^2 B.41.76m^2 C.29m^2 D.3600m^2# ( free video lesson)

14. Compare the volume of liquid in the containers below and write them in an increasing order; A. D, B, C, A B. C, A, B, D C. C, A, D, B D. A, B, C, D ( free video lesson)

15. A helicopter flies 18 km in 20 minutes. Calculate its average speed in km/h. A. 0.9 km/hr. B. 1.1 km/hr. C. 90 km/hr. D. 54 km/hr. ( free video lesson)

16. Find the radius of the circle if area of sector is 924 cm² and angle at the center is 60°. A. 42 B. 21 C. 22 D. 46 ( free video lesson)

17. A bottle of cola costs sh. 35.50 and a bag of crisps costs sh. 70.50. Lamia buys 3 bottles of cola and 5 bags of crisps. She pays with a sh. 500 note. Calculate the balance Lamia got. A. Sh. 459 B. Sh. 31.50 C. Sh. 41.50 D. Sh. 41 ( free video lesson)

18. Triangle ABC below is an isosceles triangle. Angle ABC is 32° and AB = AC. Find angle BAC. A. 1160 B.320 C.1580 D.1640 ( free video lesson)

19. Jayden play in a golf tournament. Find his average score for the four rounds if his scores were 72, 66, 70 and 68. A. 276 B. 92 C. 1 D. 69 ( free video lesson)

20. Given the following activities in integers, find their solutions showing the correct way: a) (- 9) + (- 4) - (- 3) = (1 mk) b) (-6) x (-3) = (1 mk) ( free video lesson)

21. The restaurant sells 142.46 litres of milk on Sunday and 17.23 litres more than this amount on Monday. The following day, 18.81 litres less milk than on Monday were sold. How many litres of milk did they sell on Tuesday? (2mks) ( free video lesson)

22. One face of a cube has an area of 225 #m^2#.What is the volume of the cube? (2mks) ( free video lesson)

23. Given an index below to express in logarithm form, show the way. 5³ = 125 (2mks) ( free video lesson)

24. Five (5) photocopiers can produce 90,000 copies in 6 hours a day. How many photocopiers will be required to produce 168,000 copies working 8 hours a day? (2mks) ( free video lesson)

25. Simplify each of the following algebraic expressions: a) #(4x^2y^3 – 2x) – (2x+2x^2y^3)# (2mks) b) #(- 2 - 2u^3) - (- 5u^3 + 5) #(2mks) c) #(- 3 + 3x) - (- 7x + 2).# (2mks) ( free video lesson)

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27. The radius of a circle is 3.5cm. Work out the area of the circle. Give your answer correct to 3 significant figures. (3mks) ( free video lesson)

28. Jesse throws a ball that moves at an average speed of 35 meters per second and travels for a total of 4.5 seconds. Work out the distance travelled by the ball. (2mks) ( free video lesson)

29. The circle is 21 cm and the angle subtending the arc is 60°. The arc is the angle subtending. Find the area of the sector. (3mks) ( free video lesson)

30. Jonathan went to America. He exchanged £750 into American dollars. The exchange rate was £1 = $1.23. a) Exchange £750 into American dollars. Give your answer to the nearest 10 dollars. b) Jonathan brings $147 back home. Exchange $147 into UK pounds. Give your answer correct to the nearest pence. ( free video lesson)

31. a)Given triangle PQE . calculate the size of angle Q. b)Work out the values of angles marked with letters. ( free video lesson)

32. A group of students are making posters to advertise for a bake sale. 12 large signs and 60 small signs are needed. It takes 10 minutes to paint a small sign and 30 minutes to paint a large sign. How many students will be needed to paint all of the signs in 2 hours or less? (2mks) ( free video lesson)

33. Andrew has 3/4 of a candy bar left. He gives 1/2 of the remaining bit of the candy bar to his sister. What fraction of the whole candy bar does Andrew have left now? ( free video lesson)

34. Mr. Green was hanging Christmas lights. One strand of light was 2 m long. A second strand of light was 120 cm long. If Mr. Green strung the lights from end to end, how many centimeters did both strand span? (3mks) ( free video lesson)

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