BUSOGA EXAMINATION COUNCIL

PRE-PLE EXAMINATION, 2024

MATHEMATICS (NAIROBI)
Time Allowed: 2 hours 30 minutes
Random No. Personal No.

Candidates’ Name: -------------------------------------------------------------------------------------------------------

FOR EXAMINER’S USE ONLY
Read the following instructions carefully: A

1. This paper is made up of section A and B.

B

2. Section A has 20 short answer questions (40 marks). TOTAL

3. Section B has 12 questions (60 marks).

4. All answers to both section A and B must be written in the spaces provided.

5. All answers must be written in blue ink and diagrams should be drawn in pencil.

6. Any handwriting that cannot easily be read will lead to loss of marks.

7. Unnecessary alteration of work may lead to loss of marks.

8. No calculators are allowed in the examination room.

BUSOGA EXAMINATION COUNCIL

©2024 BECO PRE-PLE Page 1

1
 SECTION A (40MARKS)
1. Work out: 8 6 2. Write “Four hundred five thousand eighty six” in
-1 4 figures.

3. 2𝑘 4. In the Venn diagram below, shade set z

Solve for K: = 10
5 complement.

Z N

5. 2 1 6. Find the median of -6, 2,-8,3,-1 and 0

Add: +
3 4

7. Work out the value of P in the 8. Expand 7345 using values.

figure below.

700 400

+ -
9. Simplify: 6 - 4 10. Mr.Wekesa bought 100 litres of milk and sold
them in quarter litres. How many quarter litres
did he sell?

2
11. Round off 32.46to the nearest 12. Given that half dozen of books cost sh.7200.
tenths. Find the cost of 8 similar books.

13. Find the next two numbers in 14. The perimeter of a rectangle below is 24cm.
the sequence below. Find its width „W‟
2, 6, 12, 20, ____, ____
W

8cm

15. A bus covered a distance of 16. If 𝑥 = 4 = y, workout; 𝒙𝒚

120km from Kampala to
Masaka at an average speed of
40km/hr. How long did it take
to reach its destination?

17. Given that set M has 4 18. Multiply: 24five x 3five

elements. How many proper
susbsets has set M?

3
 0
19. Find the percentage of the 20. Given that 2𝒙 and 50 are complementary angles.
unshaded part in the figure Find the value of 𝒙.
below.

SECTION B (60 marks)

(Marks for each question are indicated in the brackets.)
21. At a birth day party attended by 48 guests, 36 guests took soda (S), 15 guests
took water (W) , 2𝑥 guests took both water and soda while 5 guests took
neither of the two drinks.
a) Use the above information to complete the Venn diagram below. (3marks)
n(Ԑ) =
n (S)=3650 n (W)=15

_______ 2𝑥 _______
______

b) How many guests took both drinks? (3marks)

22. Charlotte, Joan and Tetal shared some money in the ratio of 3:4:5 respectively.
a) If they shared a total of sh.144, 000, how much did each get? (3marks)

4
 b) Express Charlotte‟s shared as a percentage. (1mark)

23. a) Using a pair of compasses, a ruler and a pencil only, construct a triangle
MAP, where line MA = 8cm, line AP = 6cm and MAP is a right angle.
(4marks)

b) Measure MP ______ cm. (1mark)

24. a) Jannet went shopping and bought the items as shown in the table below.
Study it carefully and complete. (4marks)

Item Quantity Unit price Amount

Rice 3kg sh.5000 sh._________
Sugar 2kg sh. ________ sh.12000
Bread ______ loaves sh.3500 sh.10500
Total Expenditure sh. _________
b) If she went with 2 notes of twenty thousand shillings each, find her change. (2marks)

5
25. The sum of three consecutive counting numbers is 48. Find the numbers. (4marks)

1 1 1
26. a) Simplify: - + (3marks)
2 3 4

0.18 × 2.4
b) Work out; (3marks)
0.12

27. Below is a number line, use it to answer the questions that follow.
b
a

-6 -5 0- -3 -2 -1 0 1 2 3 4 5 6
4
c
a) Write down the integers represented by the arrows. (1mark @)
i) a = ______________________________________________________________

ii) b = ______________________________________________________________

iii) c = _______________________________________________________________

6
 b) Write the mathematical statement indicated on the number line above.
(2marks)

28. A taxi driver left Mpigi for Mbarara at 7:45am driving at a steady speed of
60km/hr for 4 hours.
a) At what time did he reach Mbarara? (2marks)

b) If he rested for an hour and drove back to Mpigi at a speed of 80km/h. Calculate his
average speed for the whole journey. (3marks)

29. The pie chart below show Mr. Osuku‟s monthly salary distribution of
sh.720, 000

Saving
Rent
600

1100 P
Fees
Food

a) Find the value of P. (2marks)

7
 b) How much is spent on fees? (2marks)

c) How much less money is spent on food than rent? (2marks)

30. Kato is 20 years older than Juma. In 4 years to come, their total age will be 50
years. How old is each now?
(3marks)

31. At Kamuli Girls School-Kamuli , two bells are used to change lessons at an interval of 45
minutes and an hour for lower and upper primary respectively.
a) If they last rung together at 8:30a.m., after how many minutes will they ring together
again? (2marks)

8
 b) At what time will they ring together again? (3 marks)

32. The volume of a box below is 180cm3. Use it to answer the questions about it.

5cm

W
9cm

a) Find its width. (2marks)

b) Workout its total surface area. (3marks)

END
9