Before you begin ✍️
You are about to practice the questions set for
PLE Math 2022.
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Be honest with yourself, Don't cheat, 🤥
⏱️Time limit: 2 hours
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At the end of your examination practice, you will
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4. Given that PυQ = {1, 2, 3, 4, 5, 6, 7, 8}, PՈQ = {1, 4, 7} and p’ = {5, 6, 8}, list the elements of set P.
5. Find the next number in the sequence: 1, 3, 7, 13, 21, ……
6. Using a ruler and a pair of compasses only, construct a line through point T parallel to line AB.
Select the accurate drawing
7. Write the number whose standard form is 7.43 x 10² .
8. Represent the number operation -5 ++7 on the number line below.
10. A packet of biscuits weighs 200 grammes. Calculate the total weight in kilogrammes of 30 packets of biscuit.
11. The drawings below show cards with numbers written on them.
The cards were then put in a bag. Find the probability that a card
picked at random from the bag has a composite number.
13. A poultry farmer sells 30 eggs at sh 12,000. Find the cost of 25 eggs.
14. Round off 2498 to the nearest hundreds.
15. The weight of a teacher is 72 kg. The average weight of the teacher and three pupils is 50 kg. Calculate the total weight of the pupils.
16. Town M is South East of town V. Find the bearing of town V from town M.
17. A businesswoman borrowed sh 100,000 from a savings group which charged her an interest rate of 3% per month. Calculate the interest she paid after a period of six months.
18. Peter walked a distance of 2 km in 20 minutes. Find his speed in kilometers per hour.
19. Given that m = 8 and n = 6, find the value of √mn+1.
20. Calculate the volume of the cylinder below. (Use rr=22/7 )
SECTION B: 60 MARKS
Answer all the questions in this Section.
Marks for each question are indicated in brackets.
21. In a village, 3 farmers grow both rice (R) and sunflower (S). 24 farmers grow rice and y farmers grow sunflower only. 2y + 9 farmers grow none of the two crops.
(a) Use the given information to complete the Venn diagram below. select the correct alternatives to the spaces in the diagram (02 marks)
(b) Given that the number of farmers who grow rice only is equal to the number of farmers who grow none of the two crops, find the value of y. (02 marks)
(c) How many farmers grow sunflower? (01 mark)
22. A trader bought 500 mangoes a sh 250 each. The trader then sold 100 of the mangoes at sh 350 each and the rest at sh 300 each. Calculate the profit the trader made. (05 marks)
23. Work out 0.75 + 0.25/0.65 - 0.4. (04 marks)
24. A motorist left his home at 7:40 a.m. and travelled to town for 3 hours at an average speed of 64 km/h. He stayed in town for 30 minutes and then travelled back home.
a) Calculate the distance from the motorist’s home to the tow. (02 marks)
(b) At what time did the motorist leave the town? (01 mark)
(c) Calculate the speed at which the motorist travelled back if he reached home at 3:10 p.m. (03 marks)
25. The sum of the three consecutive counting numbers is 78. Find the largest number. (04 marks)
26. (a) Using a ruler and a pair of compasses only, construct triangle ABC in which line AB= 7 cm, AC = 6 cm angle CAB = 45°. And choose the correct of the diagrams below.(04 marks)
Select the illustration that best show the process
(b) Measure angle ACB. (01 mark)
(a) Find the length of the photograph. (02 marks)
(b) Calculate the area of the frame not covered by the photograph. (04 marks)
28. A mathematical set costs sh 2000 more than an exercise book. The cost of two exercise books is the same as 2/5 of the cost of a mathematical set. Find the cost of an exercise book. (04 marks)
(a) Find the number of pupils who did the test. (02 marks)
(b) Calculate the mean mark of the pupils. (03 marks)
(a) Find the number of text books supplied by the company. (03 marks)
(b) Calculate the number of books school H got ? (02 marks)
(a) Find the capacity of the tank in litres. (02 marks)
(i) Calculate the amount of water in litres that will leak out of the tank in 12 hours. (01 mark)
(ii) Calculate the height of water that remains in the tank after 12 hours. (03 marks)
Please proceed to view your grade. Fingers crossed🤗
