NAME ____________________________________________ SCHOOL__________________
MATAPWATA CLUSTER EXAMINATIONS BOARD
2022 JUNIOR CERTIFICATE MOCK EXAMINATIONS
MATHEMATICS
(100 marks)
Time Allowed 2 hours
(08:00– 10:00 am)
WEDNESDAY, 25 May, 2022
Instructions:
i. This paper contains 8 printed pages. Please check!
ii. Write your name and school on top of each question paper.
iii. Answer questions in section A and B.
iv. All working must be shown clearly.
v. Fill in the table to the right the question number you have tacked.
vi. Stop writing when time is called to stop writing.
©2022 MATAPWATA CLUSTER MOCK EXAMS
NAME ____________________________________________________ SCHOOL ___________________
SECTION A (70 MARKS)
Answer all fifteen Questions
1
1. (a) Given that 𝑥 = 3 and 𝑦 = , find the value of 𝑥 − √𝑦 (3 marks)
4
(b) Evaluate 45 × 28 ÷ 82 (4 marks)
2. (a) Simplify 2
𝑝𝑞
5
− 𝑚𝑞 (4 marks)
(b) Make z subject of formula 𝑦 = 2(𝑧 + 1) (3 marks)
3. Work out the following, giving your answer to base 10 (4 marks)
20314 − 3114
4. Find nth term of the sequence 1, 8, 27, 64, 125, … (3 marks)
Page 2 of 9
NAME ____________________________________________________ SCHOOL ___________________
5. Solve the equation 𝑚2 − 4𝑚 + 3 = −1 (6 marks)
6. Betzsxavbg ina has 42 kg of rice costing k 640 per kg. How many kilograms of rice costing
K 820 will she add in order to have a mixture costing k 760 per kg?
(5 marks)
7. Solve the equation 7 = 15−𝑟
2𝑟
(4 marks)
8. The mean volume of 3 bottles of cooking oil is 750ml. if the volume of 2 bottles is 1400,
find the volume of third bottle.
(3 marks)
Page 3 of 9
NAME ____________________________________________________ SCHOOL ___________________
9. A sales man earned K 3, 00 as commission from sales worth K 12, 000. Calculate his
commission on a sale worth K 17, 000.
(4 marks)
2
10. (a) Using logarithms evaluate 17.43 (5 marks)
2
(b) Evaluate 83 − 2 (3 marks)
11. The table below shows values of x and y for the equation 2𝑥 + 𝑦 = 1
𝑥 −2 −1 0
𝑦 5 1
(a) Complete the table above
(2 marks)
Page 4 of 9
NAME ____________________________________________________ SCHOOL ___________________
(b) Using a scale of 2 cm to represent 1 unit on both axes, plot a graph of 2𝑥 + 𝑦 = 1
(4 marks)
12. In the figure below, ABC and ADE are triangles
If BC is parallel to DE, show that triangle ABC is similar to triangle ADE
(4 marks)
Page 5 of 9
NAME ____________________________________________________ SCHOOL ___________________
13. A photograph measuring 4 cm by 3 cm is enlarged so that the shorter side becomes 12,
what has the longer side become? (3 marks)
14. Given the following sets;
(a) List down elements
(i) M ∪ G (2 marks)
(ii) M∩G (2 marks)
(b) Find n(M ∩ G) (2 marks)
15. Present the following inequality on number line.
3−𝑥 <5 (4 marks)
Page 6 of 9
NAME ____________________________________________________ SCHOOL ___________________
SECTION B (30 MARKS)
Answer all five questions
16. Using a ruler and a pair of compass only, construct in the same diagram;
(a) A triangle ABC such that AB = 4 cm, BC = 6 cm and angle ABC = 60 o (3 marks)
(b) Construct the inscribe circle (5 marks)
Page 7 of 9
NAME ____________________________________________________ SCHOOL ___________________
17. Calculate the surface area of the right pyramid shown below.
7 cm
5 cm
(6 marks)
18. The interior angle of a regular polygon is 612 times the exterior angle.
(a) Calculate the value of exterior angle. (4 marks)
(b) How many sides has the polygon? (2marks)
Page 8 of 9
NAME ____________________________________________________ SCHOOL ___________________
19. A boy on his way to school, travels 10km by bus for 40 minutes and then got a lift on a
motor bike which travels 4 km for 30 minutes. He then walks 0.5 km for 10 minutes.
Present this information on the graph.
(6 marks)
20. Figure below is a parallelogram. Calculate value of 𝑥
(4 marks)
END OF QUESTION PAPER
Page 9 of 9
