The document contains 20 math word problems with multiple choice answers. The problems cover a range of math topics including algebra, geometry, trigonometry, percentages, and ratios.

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

2. The sum of two numbers is twice their
difference. If the difference of the
number is p, find the larger of the two
numbers A.
𝒑
𝟐
B.
𝟑𝒑
𝟐
C.
𝟓𝒑
𝟐
D. 𝟑𝒑

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

4. If 𝟒𝟑𝒙
= 𝟏𝟔𝒙+𝟏
, find the value of 𝒙 A. -2 B. 2 C. 1 D. -1

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. If 𝒂 = 𝟑 and 𝒃 = 𝟕, find the
value of
𝟓𝒃+ 𝒂+𝒃 𝟐
𝒂−𝒃 𝟐
A. 0.51 B. 0.19 C. -0.19 D. -0.51

7. Three boys shared $ 10,500 in
the ratio 6 : 7 : 8. Find the
largest share
A. $4,000 B. $5,000 C. $4,500
D. $3,500

8. The length of a piece of stick is
1.75𝒎. A boy measured it as 1.80 𝒎.
Find the percentage error
A. 4
4
7
% B. 2
6
7
% C. 2
7
7
% D. 4
7
9
%

9. If 𝟓𝒙 + 𝟑𝒚 = 𝟒 and 𝟓𝒙 − 𝟑𝒚 =
𝟐, what is the value of
𝟐𝟓𝒙𝟐
− 𝟗𝒚𝟐
?
A. 20 B. 16 C. 2 D. 8

10. Find the principal which amounts
to N 5, 500 at a simple interest in
5 years at 2% per annum
A. N 4,900 B. N 5,000 C. N 4,700
D. N 4,800

11. If 𝒕𝒂𝒏 𝜽 =
𝟒
𝟑
, calculate 𝒔𝒊𝒏𝟐
𝜽 −
𝒄𝒐𝒔𝟐
𝜽
A.
16
25
B.
24
25
C.
7
25
D.
9
25

12. The sum of interior angles of a
regular polygon is 20 right
angles. How many sides does
the polygon have?
A. 12 B. 20 C. 40 D. 10

13. In the diagram, |𝑿𝒀| = |𝒀𝒁| and
∠𝑿𝒀𝒁 = 𝟏𝟑𝟎°. Find the value of
𝒚
A. 50° B. 65° C. 25° D. 155°
Y
X
W
𝑦
Z
130°

14. An exterior angle of a regular
polygon is 22.5°. find the
number of sides
A. 13 B. 14 C. 15 D. 16

15. A ladder 6 𝒎 long leans against a
vertical wall at an angle of 53° to the
horizontal. How high up the wall
does the ladder reach?
A. 3.611 𝑚 B. 4.521 𝑚 C. 4.792 𝑚 D.
3.962 𝑚

16. 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

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

18. Find the mean of 7, -3,
4, -2, 5, -9, 4, 8, -6, 12
A. 3 B. 4 C. 1 D. 2

19. 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

20. If the equations 𝒙𝟐
− 𝟓𝒙 + 𝟔 =
𝟎 and 𝒙𝟐
+ 𝒑𝒙 + 𝟔 = 𝟎 have
common roots, find the value of
𝒑 A. 5 B. 6 C. -6 D. -5

21. Solve 𝟔𝒙𝟐
= 𝟓𝒙 − 𝟏
A. 𝑥 = 2,3 B. 𝑥 = 0,3 C. 𝑥 =
1
2
,
1
3
D. 𝑥 =
1
2
, −
1
3

22. Solve the simultaneous equations
𝒙 + 𝒚 = 𝟐 and 𝟑𝒙 − 𝟐𝒚 = 𝟏
A. 𝑥 = 2 and 𝑦 = 1 B. 𝑥 = 1 and
𝑦 = 1 C. 𝑥 = 1 and 𝑦 = 2 D. 𝑥 =
− 1 and 𝑦 = 1

23. A casting is made up of copper and
zinc. If 65% of the casting is zinc and
there are 147g of copper, what is the
mass of the casting?
A. 320g B. 420g C. 520g D. 620g

24. Alfred spent
𝟏
𝟒
of his money on food,
𝟏
𝟑
on clothing and saved the rest. If he
saved N 72, 000, how much did he
spend on food?
A.N 43, 200 B. N 43, 000 C. N 42, 200
D. N 40, 000

25. Evaluate
𝒍𝒐𝒈𝟏𝟎 𝟓 + 𝒍𝒐𝒈𝟏𝟎 𝟐𝟎
A. 2 B. 3 C. 4 D. 5

26. The interior angles of a
pentagon are 126°, 114°, y°,
92° and 83°. Find the value of
the value of 𝒚
A. 95° B. 105° C. 115° D. 125°

27. Find the quadratic equation
whose roots are −𝟐 and 𝟕
A. 𝑥2
− 2𝑥 + 7 = 0 B. 𝑥2
+ 5𝑥 +
14 = 0 C. 𝑥2
− 5𝑥 − 14 = 0
D. 𝑥2
− 5𝑥 − 14 = 0

28. Simplify
𝟐𝒙𝟐−𝟓𝒙−𝟏𝟐
𝟒𝒙𝟐−𝟗
A.
𝑥+4
2𝑥+3
B.
𝑥+4
2𝑥−3
C.
𝑥−4
2𝑥−3
D.
𝑥−4
2𝑥+3

29. If 𝒍𝒐𝒈𝒒 𝒑 = 𝒓, express 𝒑 in
terms of 𝒒 and 𝒓
A. 𝑝 = 𝑞𝑟 B. 𝑝 = 𝑟𝑞
C. 𝑝 =
𝑟
𝑞
D. 𝑝 = 𝑞𝑟

30. In a particular year, the exchange rate of
Naira varies directly with the Dollar. If
N 1122 is equivalent to $ 8.00, how much
Naira is equivalent to $ 36.00
A. N 8,976.00 B. N 5,049.00 C. N 140.25
D. N 31.17

31. If 𝟐𝒙: (𝒙 + 𝟏) = 3 : 2,
what is the value of 𝒙
A. 1 B. 1
1
2
C. 3 D.
1
2