WAEC: MATHEMATICS
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2021 Mathematics WAEC Objective Past Questions

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2014 Mathematics WAEC Theory Past Questions
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Question 1 of 50
1. Question
Correct, 0.00798516 to three significant figures.
CorrectIncorrect 
Question 2 of 50
2. Question
Simplify: (11_{two})^{2}
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Question 3 of 50
3. Question
Solve: \( \scriptsize 2^{\sqrt{2x\:+\:1}} = 32 \)
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Question 4 of 50
4. Question
If log_{10}2 = m and log_{m}3 = n
find log_{10}24 in terms of m and n
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Question 5 of 50
5. Question
Find the 5th term of the sequence: 2, 5, 10, 17, … .
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Question 6 of 50
6. Question
If P = {3 < x < 1} and Q = {1 < x < 3}, where is a real number, find P ∩ Q
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Question 7 of 50
7. Question
Factorise 6pq – 3rs – 3ps + 6qr
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Question 8 of 50
8. Question
What number should be subtracted from the sum of
\( \scriptsize 2 \frac{1}{6} \: and \: 2\frac{7}{12} \: to \: give \: 3\frac{1}{4} \: ? \)
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Question 9 of 50
9. Question
Mensah is 5 years old and Joyce is thrice as old as Mensah. In how many years will Joyce be twice as old as Mensah?
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Question 10 of 50
10. Question
If \( \scriptsize 16 \: \times \: 2^{x+1} = 4^x \: \times \: 8^{(1 \: \:x)} \)
find the value of x
CorrectIncorrect 
Question 11 of 50
11. Question
The circumference of a circular track is 9km. A cyclist rides round it a number of times and stops after covering a distance of 302km. How far is the cyclist from the starting point?
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Question 12 of 50
12. Question
Simplify: \( \scriptsize 2 \sqrt{7} \: \: \normalsize \frac{14}{\sqrt{7}} \: + \: \frac{7}{\sqrt{21}} \)
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Question 13 of 50
13. Question
If 4x + 2y = 16 and 16x – 2y = 4, find the value of (y – x)
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Question 14 of 50
14. Question
Given that R is directly proportional to L and inversely proportional to P,R when L = 9 and P = 0.8, find R when L = 15 and P = 1.8
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Question 15 of 50
15. Question
NOT DRAWN TO SCALE
In the diagram, ∠ABC and ∠BCD are right angles, ∠BAD = t and ∠EDF = 70º. Find the value of t.
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Question 16 of 50
16. Question
The sum of the interior angles of a regular polygon with k sides is (3k – 10) right angles. Find the size of the exterior angle.
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Question 17 of 50
17. Question
Make U the subject of the relation:
x = \( \frac{2U \: – \: 3}{3U \: + \: 2}\)
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Question 18 of 50
18. Question
A trader paid import duty of 38kobo in the naira on the cost of an engine. If a total of ₦22,800.00 was paid as import duty, calculate the cost of the engine.
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Question 19 of 50
19. Question
The height of an equilateral triangle is 10√3cm. Calculate its perimeter
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Question 20 of 50
20. Question
In ΔLMN, LM = 6cm, ∠LNM = x and sinx = \( \frac{3}{5} \)
Find the area of ΔLMN
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Question 21 of 50
21. Question
Consider the statements:
P: All students offering Literature (L) also offer History (H);
Q: Students offering History (H) do not offer Geography (G).
Which of the Venn diagrams correctly illustrates the two statements?
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Question 22 of 50
22. Question
Find the quadratic equation whose roots are 2q and 5q.
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Question 23 of 50
23. Question
If tan θ = \( \frac{3}{4}\scriptsize , \: 180^o < \theta < 270^o \)
Find the value of cos θ
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Question 24 of 50
24. Question
If \( \frac{2}{x3} \: – \: \frac{3}{x2} = \frac{P}{(x3)(x2)} \)
Find P
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Question 25 of 50
25. Question
The diagonals of a rhombus are 12cm and 5cm. Calculate its perimeter.
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Question 26 of 50
26. Question
NOT DRAWN TO SCALE
In the diagram, ΔXYZ is produced to T. If XY = ZY and ∠XYT = 40º, find ∠XZT
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Question 27 of 50
27. Question
A solid brass cube is melted and recast as a solid cone of height h and base radius r. If the height of the cube is h, find r in terms of h.
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Question 28 of 50
28. Question
Which of the following is not an exterior angle of a regular polygon?
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Question 29 of 50
29. Question
From a point T, a man moves 12km due West and then moves 12km due South to another point Q. Calculate the bearing of T from Q.
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Question 30 of 50
30. Question
NOT DRAWN TO SCALE
In the diagram, O is the centre of circle PQRS, ∠PQR = 72º and \( \scriptsize \bar{OR}// \bar{PS} \)
Find ∠OPS
CorrectIncorrect 
Question 31 of 50
31. Question
A trapezium of sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. Calculate the area of the region not covered by the trapezium.
\( \scriptsize Take \: \pi = \normalsize \frac{22}{7} \)
CorrectIncorrect 
Question 32 of 50
32. Question
Find, correct to two decimal places, the mean of
\( \scriptsize 1 \frac{1}{2}, \: 2 \frac{2}{3}, \: 4 \frac{4}{5} \: and \: 5 \frac{5}{6} \)
CorrectIncorrect 
Question 33 of 50
33. Question
A cyclist moved at a speed of X km/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours. If the total distance covered is 36km, calculate his initial speed, X.
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Question 34 of 50
34. Question
NOT DRAWN TO SCALE
Find the value of (x + y) in the diagram
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Question 35 of 50
35. Question
NOT DRAWN TO SCALE
In the diagram, \( \scriptsize \hat{MP}\) is a tangent to the circle NQR, ∠PNQ = 64° and \( \scriptsize \hat{RQ} = \hat{RN} \)
Find the angle marked t
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Question 36 of 50
36. Question
Find the first quartile of 7, 8, 7, 9, 11, 8, 7, 9, 6 and 8.
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Question 37 of 50
37. Question
NOT DRAWN TO SCALE
In the diagram, PQRS is a circle. Find the value of x
CorrectIncorrect 
Question 38 of 50
38. Question
A cone has a base radius of 8cm and height 11cm. Calculate, correct to two decimal places, the curved surface area.
π = \( \frac{22}{7}\)
CorrectIncorrect 
Question 39 of 50
39. Question
Given that sinx = \( \frac{3}{5}\scriptsize , \: 0^o \leq \: x \leq \: 90^o \)
Evaluate (tanx + 2cosx)
CorrectIncorrect 
Question 40 of 50
40. Question
NOT DRAWN TO SCALE
In the diagram, \( \scriptsize \bar{EC} \) is a diameter of the circle ABCDE.
If ∠ABC = 158º, find ∠ADE.
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Question 41 of 50
41. Question
The table shows the heights of thirtyseven players of a basketball team. Calculate, correct to one decimal place, the mean height of the players.
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Question 42 of 50
42. Question
\( \scriptsize \bar{XY} \) is a line segment with the coordinates X (8, 12) and Y (p, q). If the midpoint of \( \scriptsize \bar{XY} \) is (4, 2), find the coordinates of Y.
CorrectIncorrect 
Question 43 of 50
43. Question
Five hundred tickets were sold for a concert. Tickets for adults and children were sold at $4.50 and $3.00 respectively. If the total receipts for the concert was $1,987.50, how many tickets for adults were sold?
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Question 44 of 50
44. Question
The distance (d) between two villages is more than 18km but not more than 23km. Which of these inequalities represents the statement?
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Question 45 of 50
45. Question
NOT DRAWN TO SCALE
The pie chart represents the distribution of fruits on display in a shop. If there are 60 apples on display, how many oranges are there?
CorrectIncorrect 
Question 46 of 50
46. Question
A box contains 40 identical balls of which 10 are red and 12 are blue. If a ball is selected at random from the box, what is the probability that it neither red nor blue?
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Question 47 of 50
47. Question
A fair die is tossed twice. What is the probability of getting a sum of at least 10?
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Question 48 of 50
48. Question
A man will be (x + 10) years old in 8 years time. If 2 years ago, he was 63 years, find the value of x.
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Question 49 of 50
49. Question
The equation of a line is given as 3x = 5y = 7 . Find its gradient (slope).
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Question 50 of 50
50. Question
For what value of x is \( \frac{4 \: – \: 2x}{x \: + \: 1} \) undefined?
CorrectIncorrect
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