This document contains 40 multiple choice questions covering a wide range of mathematics topics including: arithmetic, algebra, geometry, trigonometry, and probability. The questions range in difficulty from basic calculations to more complex problem solving questions involving multiple steps.

1. 1. Change 432five to a number in base
three
A. 10100three B. 11100 three
C. 11101 three D. 10110 three

2. 2. Find the equation whose roots are -8
and 5. A. x2 – 13x + 40 = 0 B. x2 – 13x –
40 = 0 C. x2 – 3x + 40 = 0 D. x2 + 3x – 40
= 0

3. 3. Evaluate
𝟑
𝟒
𝒍𝒐𝒈 𝟏𝟔 A. 𝒍𝒐𝒈 𝟖
B. 𝒍𝒐𝒈 𝟐𝟑 C. 𝒍𝒐𝒈 𝟑𝟐 D. 𝒍𝒐𝒈 𝟒

4. 4. Evaluate 23×54 (mod
7) A. 2 B. 3 C. 5 D. 6

5. 5. 𝑴 varies directly as 𝒏 and inversely as the
square of 𝒑. If 𝑴 = 𝟑 when 𝒏 = 𝟐 and 𝒑 = 𝟏,
find 𝑴 in terms of 𝒏 and 𝒑 A. 𝑴 =
𝟑𝒏
𝟐𝒑𝟐
B. 𝑴 =
𝟐𝒏
𝟑𝒑𝟐 C. 𝑴 =
𝟐𝒏
𝟑𝒑
D. 𝑴 =
𝟑𝒏𝟐
𝟐𝒑𝟐

6. 6. If 𝒔𝒊𝒏 𝒙 = 𝒄𝒐𝒔 𝟓𝟎°, then 𝒙
equals A. 𝟒𝟎° B. 𝟓𝟎° C. 𝟗𝟎° D.
𝟏𝟑𝟎°

7. 7. Given that 𝒕𝒂𝒏 𝒙 =
𝟓
𝟏𝟐
, what is
the value of If 𝒔𝒊𝒏 𝒙 + 𝒄𝒐𝒔 𝒙 A.
𝟓
𝟏𝟑
B.
𝟕
𝟏𝟑
C.
𝟏𝟐
𝟏𝟑
D.
𝟏𝟕
𝟏𝟑

8. 8. If the simple interest on a sum of money for 2 years at 5%
per annum is Rs. 50, what is the compound interest on the
same at the same rate and for the same time? (A) Rs 51.25
(B) Rs 52 (C) Rs 54.25 (D) Rs 60

9. 9. The quantity R varies directly as the square of s and
inversely proportional as the root of T. Given that s =
2.5, when R = 10, T = 625, find the value of the
constant of proportionality (A)40 (B)50 (C)60 (D)70

10. 10. A regular polygon has each of its interior
angles as 108°. How many sides has the
polygon? (A) 5 (B) 17 (C) 9 (D) 14

11. 11. A number is squared and added to twice the
number to give 8. Find the number A. -2 or-4 B. -4 or
2 C. -2 or 4 D. 4 or 2

12. 12. Factorise 𝟐𝟕𝒑𝟐
𝒙𝟐
− 𝟒𝟖𝒚𝟐
. 𝑨. 𝟗 𝟑𝒑𝒙 −

13. 13. Simplify
𝒍𝒐𝒈 𝟒− 𝒍𝒐𝒈 𝟗
𝒍𝒐𝒈 𝟑−𝒍𝒐𝒈 𝟐
A. 3 B. 2 C.
𝟑
𝟐
D.
𝟐
𝟑

14. 14. If 𝒍𝒐𝒈𝒂 𝟐𝟕𝟎 − 𝒍𝒐𝒈𝒂 𝟏𝟎 + 𝒍𝒐𝒈𝒂
𝟏
𝟑
=
𝟐, what is the value of a? A. 3 B. 4 C. 5
D. 6

15. 15. Evaluate 𝟑. 𝟒𝟓𝟔 + 𝟒. 𝟔𝟑𝟗 A. 𝟕. 𝟎𝟗𝟓
B. 𝟓. 𝟎𝟗𝟓 C. 𝟔. 𝟎𝟗𝟓 D.
𝟖. 𝟎𝟗𝟓

16. 16. 𝟐𝟕 𝟏+𝒙
= 𝟗, 𝒇𝒊𝒏𝒅 𝒙. A. -3 B. -1/3 C. 5/3 D. 2

17. 17. Given that P = {b, d, e, f} and Q = {a, c, f, g}
are subsets of the universal set U = {a, b, c, d, e,
f, g}. find P’∩Q. A. {a, e} B. {a, c, d, g} C. {c, d,
g} D. {a, c, g}

18. 18. Simplify
𝟏𝟔
𝟖𝟏
−𝟑/𝟒
×
√𝟏𝟎𝟎
√𝟖𝟏
A.
𝟖𝟎
𝟐𝟒𝟑
B.
𝟐𝟎
𝟐𝟕
C.
𝟐𝟓
𝟔
D.
𝟏𝟓
𝟒

19. 19. Simplify
𝒙+𝟏
𝟐
÷
𝒙𝟐−𝟏
𝟔𝒙
(a)
𝟑𝒙
𝒙+𝟏
(b)
𝟐𝒙
𝒙+𝟏
(c)
𝟐𝒙
𝒙−𝟏
(d)
𝟑𝒙
𝒙−𝟏

20. 20. A chord of length 30cm is 8cm
away from the centre of the circle.
What is the radius of the circle? A.
16cm B. 17cm C. 18cm D. 20cm

21. 21. A tap leaks at the rate of 2cm2/s.
How long will it take the tap to fill a
container of 45litres [1litre = 1000cm2]
(a) 8hrs (b) 6hrs 15mins (c) 4hrs 25mins
(d) 3hrs

22. 22. Express the true bearing of
210̊ as a compass bearing A.
S30°W B. S30°E C. S60°E D.
S60°W

23. 23. Given the coordinates P (-3, 4)
and Q (5, -2) What is the distance
between P and Q? A. 10 units B. 6
units C. 8 units D. 100 units

24. 24. What must be added to 𝟒𝒙𝟐
-𝟐𝟎𝒙 to
make it a perfect square? A.
𝟐𝟓
𝟐
B. 𝟐𝟓 C. 𝟓𝟎 D. 100

25. 25. What is the probability
that a whole number selected
from 20 to 30 is divisible by 4?
A.
𝟑
𝟏𝟏
B.
𝟏
𝟓
C.
𝟏
𝟏𝟏
D.
𝟐
𝟏𝟏

26. 26. If 𝟓𝒙 + 𝟑𝒚 = 𝟒 and 𝟓𝒙 − 𝟑𝒚 =
𝟐, what is the value of 𝟐𝟓𝒙𝟐 −

27. 27. Three of the interior angles of a
pentagon are 1200 , 1400 , 1420
respectively. If the remaining three
angles are equal. What is the size of
each of these? A. 690 B. 420 C.
210 D. 1110

28. 28. The length of a rectangle is
10 𝒄𝒎. If its perimeter is 28 𝒄𝒎,
find the area
A. 30 𝒄𝒎𝟐 B. 40 𝒄𝒎𝟐 C. 60 𝒄𝒎𝟐
D. 80 𝒄𝒎𝟐

29. 29. The positions of three points P,Q and R
on a map are such that R lies N60OW of P
and N30OE of Q and Q lies S350W of P.
What is the size of angle RPQ? A. 650
B. 850 C. 900 D. 950

30. 30. Instead of recording 1.23cm for
the radius of a table, a student
recorded 1.32cm. find the percentage
error correct to 1 d.p A. 6.8%
B. 7.3% C. 9.6% D. 14.4%

31. 31. Write 0.10012 as a base ten fraction
A.
𝟕
𝟏𝟔
B.
𝟗
𝟏𝟔
C.
𝟏𝟏
𝟏𝟔
D.
𝟏𝟑
𝟏𝟔

32. 32. The mean height of a group of nine
people is 168cm. a new person joins the
group and the mean is now 168.4cm. find
the height of the new person.
A. 170cm B. 172cm C. 174cm D. 176cm

33. 33. Given that 𝒔𝒊𝒏 𝟓𝒙 − 𝟐𝟖 ° =
𝒄𝒐𝒔 𝟑𝒙 − 𝟓𝟎)° , 𝟎° ≤ 𝒙 ≤ 𝟗𝟎°, find the
value of 𝒙.
A. 39 B. 32 C. 21 D. 14

34. 34. A rectangle has width
𝟑
𝟒
𝒄𝒎 and an area
𝟑
𝟑
𝟖
𝒄𝒎𝟐
. Find the length.
A. 6 𝒄𝒎 B. 𝟒
𝟏
𝟐
𝒄𝒎 C. 𝟐
𝟓
𝟖
𝒄𝒎 D. 𝟏𝟐𝒄𝒎

35. 35. A bag contains 3 red, 4 black and 5
green identical balls. Two balls are
picked at random, one after the other
without replacement. Find the
probability that one is red and the
other is green
A.
𝟓
𝟐𝟐
B.
𝟐
𝟑
C.
𝟓
𝟏𝟏
D.
𝟓
𝟐𝟖

36. 36.A man is four times as old as his son. The
difference between their ages is 36 years.
Find the sum of their ages
A. 12 B. 60 C. 48 D. 45

37. 37. If
𝟑 𝟏−𝒏)
𝟗−𝟐𝒏 =
𝟏
𝟗
, find n
A. −𝟐 B. −
𝟏
𝟐
C. −𝟏 D. −𝟑

38. 38. If 2x + 101x = 130x, find the value
of x.
A.7 B. 6 C. 5 D. 4

39. 39. A market woman bought 558
eggs at $138 each and 348 eggs at
$158 each. How much did she
spend altogether?
A. $1,5388 B. $13118 C. $7578 D.
$5548

40. 40. A market woman bought 558
eggs at $138 each and 348 eggs at
$158 each. How much did she spend
altogether?
A. $1,5388 B. $13118 C. $7578 D.
$5548