WAEC: MATHEMATICS
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Question 1 of 11
1. Question
(a) If A = {multiples of 2}, B = {multiples of 3} and C = {factors of 6} are subsets of μ = {x: 1 ≤ x ≤ 10}, find \( \scriptsize A’ \cap B’ \cap C’ \)
(b) Tickets for a movie premiere cost $18.50 each while a bulk purchase price for 5 tickets is $80.00. If 4 gentlemen decide to get a fifth person to join them so that they can share the bulk purchase price equally, how much would each person save?

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Question 2 of 11
2. Question
(a) Given that P = \( \left ( \frac{rk}{Q} \: – \: ms\right)^{\frac{2}{3}} \)
(i) Make Q the subject of the relation;
(ii) Find, correct to two decimal places the value of Q when P = 3, m = 15, s = 0.2, k = 4 and r = 10
(b) Given that \( \frac{x \: + \: 2y}{5} \scriptsize = x \: – \: 2y \)
find x: y

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Question 3 of 11
3. Question
(a)
In the diagram, O is the centre of the circle ABCDE, \( \scriptsize \bar{BC} = \bar{CD} \) and ∠BCD = 108º. Find ∠CDE
(b) Given that tan x = √3, \( \scriptsize \; \; \; \; 0^o \leq x \leq 90^o \)
Evaluate \( \frac{(cosx)^2 \: – \: sinx}{(sinx)^2 \: + \: cosx} \)

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Question 4 of 11
4. Question
The total surface area of a cone of slant height 1 cm and base radius r cm is 224𝛑 cm2. If r : l = 2 : 5, find:
(a) Correct to one decimal place, the value of r,
(b) Correct to the nearest whole number, the volume of the cone
Take π = \( \frac{22}{7} \)

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Question 5 of 11
5. Question
A die was rolled a number of times. The outcomes are as shown in the table.
Number
1
2
3
4
5
6
outcomes
32
m
25
40
28
45
If the probability of obtaining 2 is 0.15, find the:
(a) Value of m;
(b) Number of times the die was rolled;
(c) Probability of obtaining an even number

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Question 6 of 11
6. Question
(a) Copy and complete the table of value for the relation y = 3sin2x
x
0ᵒ
15ᵒ
30ᵒ
45ᵒ
60ᵒ
75ᵒ
90ᵒ
105ᵒ
120ᵒ
135ᵒ
150ᵒ
y
0.0
1.5
2.6
(b) Using a scale of 2 cm to 15ᵒ on the xaxis and 2 cm to 1 unit on the yaxis, draw the graph of y = 3 sin 2x for 0º ≤ x ≤ 150º
(c) Use the graph to find the truth set of
(i) 3 sin 2x + 2 = 0
(ii) \( \frac{3}{2} \scriptsize sin2x \: – \: 0.25 \)
CorrectIncorrect 
Question 7 of 11
7. Question
(a) The diagram shows a wooden structure in the form of a cone, mounted on a hemispherical base. The vertical height of the cone is 48m and the base radius is 14m. Calculate, correct to three significant figures, the surface area of the structure.
Take π = \( \frac{22}{7} \)
(b)Five years ago, Musah was twice as old as Sesay’s. If the sum of their ages is 100. Find Sesay’s present age.

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Question 8 of 11
8. Question
(a) Ms. Maureen spent \( \frac{1}{4}\) of her monthly income at a shopping mall. \( \frac{1}{3}\) at an open market and \( \frac{2}{5}\) of the remaining amount at a Mechanic workshop. If she had ₦225,000.00 left, find:
(i) her monthly income;
(ii) the amount spent at the open market.
(b) The third term of an Arithmetic Progression (A.P) is 4m – 2n. If the ninth term of the progression is 2m – 8n. Find the common difference in terms of m and n
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Question 9 of 11
9. Question
Two cyclists X and Y leave town Q at the same time. Cyclist X travels at the rate of 5 km h on a bearing of 049ᵒ and cyclist Y travels at a rate of 9 km h on a bearing of 319ᵒ.
(a) Illustrate the information on a diagram.
(b) After travelling for two hours, calculate correct to the nearest whole number. The:
(i) Distance between cyclists X and Y
(ii) Bearing of cyclists X and Y.
(c) Find the average speed at which cyclist X will get to Y in 4 hours.

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Question 10 of 11
10. Question
The table shows the distribution of marks obtained by students in an examination
(a) Construct a cumulative frequency table for the distribution

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Question 11 of 11
11. Question
In the diagram, MNPQ is a circle with center O, MN=NP and ∠OMN=50ᵒ. Find: (i) ∠MNP (ii) ∠POQ
(b)Find the equation of the line which has the same gradient as 8y + 4x = 24 and passes through the point (8, 12)

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