WAEC: MATHEMATICS
Quizzes
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2021 Mathematics WAEC Objective Past Questions
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2021 Mathematics WAEC Essay Past Questions
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2020 Mathematics WAEC Objective Past Questions
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2020 Mathematics WAEC Theory Past Questions
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2019 Mathematics WAEC Objective Past Questions
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2019 Mathematics WAEC Theory Past Questions
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2018 Mathematics WAEC Objective Past Questions
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2018 Mathematics WAEC Theory Past Questions
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2017 Mathematics WAEC Objective Past Questions
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2017 Mathematics WAEC Theory Past Questions
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2016 Mathematics WAEC Objective Past Questions
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2016 Mathematics WAEC Theory Past Questions
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2015 Mathematics WAEC Objective Past Questions
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2015 Mathematics WAEC Theory Past Questions
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2014 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
Express, correct to three significant figures, 0.003597
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Question 2 of 50
2. Question
Evaluate \( \scriptsize (0.064)^{-\frac{1}{3}} \)
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Question 3 of 50
3. Question
Solve \( \frac{y \: + \: 1}{2} \: -\: \frac{2y \: – \: 1}{3} \scriptsize = 4 \)
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Question 4 of 50
4. Question
Simplify, correct to three significant figures, (27.63)2  – (12.37)2
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Question 5 of 50
5. Question
If 7+y=4(mod8). Find the least value if 10≤y≤30
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Question 6 of 50
6. Question
If T = { Prime numbers} and
M = {odd numbers} are subsets of
μ = { x : 0 < x ≤ 10 and x is an integer }
find (T′∩M′)
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Question 7 of 50
7. Question
Evaluate: \( \frac{\log_{3} 9 \: – \: \log_{2} 8}{\log_{3} 9} \)
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Question 8 of 50
8. Question
If 23y = 1111two , find the value of y
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Question 9 of 50
9. Question
If 6, P and 14 are consecutive terms of an Arithmetic Progression (A.P), find the value of p.
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Question 10 of 50
10. Question
Evaluate \( \scriptsize 2 \sqrt{28} \: – \: 3 \sqrt{50} \: + \: \sqrt{72} \)
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Question 11 of 50
11. Question
If m : n = 2 : 1, evaluate
\( \frac{3m^2 \: -\: 2n^2}{m^2 \: + \: mn} \)
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Question 12 of 50
12. Question
H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.
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Question 13 of 50
13. Question
Solve 4x2 – 16x + 15 = 0
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Question 14 of 50
14. Question
Evaluate \( \frac{0.42 \: \div \: 2.5}{0.5 \: \times \: 2.05} \)
leaving the answer in standard form.
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Question 15 of 50
15. Question
Simplify \( \scriptsize \log_{10}6 \: –Â \:Â 3\log_{10}3 \: + \: \normalsize \frac{2}{3}Â \scriptsize \log_{10} 27 \)
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Question 16 of 50
16. Question
Bala sold an article for N6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for N6,600.00.
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Question 17 of 50
17. Question
If 3p = 4q and 9p = 8q – 12, Find the value of p q.
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Question 18 of 50
18. Question
If (0.25)y = 32, Find the value of y
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Question 19 of 50
19. Question
There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?
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Question 20 of 50
20. Question
Simplify \(\frac{x^2 \: – \: 5x \: – \: 14}{x^2 \: – \: 9x \: + \: 14} \)
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Question 21 of 50
21. Question
Which of the values would make \(\frac{3p \: – \: 1}{p^2 \: – \: p} \) undefined?
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Question 22 of 50
22. Question
The total surface area of a solid cylinder is 165cm2. . If the base diameter is 7cm, calculate its height.
Take π = \(\frac{22}{7} \)
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Question 23 of 50
23. Question
If 2a = √64 and \( \frac{b}{a} \scriptsize = 3 \), evaluate a2 + b2
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Question 24 of 50
24. Question
In ΔXYZ |YZ| = 32cm ∠YXZ = 52o and ∠XZY = 90o
Find, correct to the nearest centimeter, |XZ|
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Question 25 of 50
25. Question
If logx2 = 0.3, evaluate logx8
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Question 26 of 50
26. Question
An arc subtends an angle of 72º at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5cm
Take π = \( \frac{22}{7} \)
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Question 27 of 50
27. Question
Make b the subject of the relationÂ
lb = \(\frac{1}{2} \scriptsize (a \: + \: b)h \)
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Question 28 of 50
28. Question
Eris sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house?
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Question 29 of 50
29. Question
Find the angle which an arc of length 22cm subtends at the centre of a circle of radius 15cm.
Take π = \( \frac{22}{7} \)
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Question 30 of 50
30. Question
A rectangular board has length 15cm and width x cm. If its sides are doubled, find its new area?
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Question 31 of 50
31. Question
In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS|=|OT| and ∠OST=50º . Calculate the value of ∠OPQ
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Question 32 of 50
32. Question
Factorize completely: (2x + 2y) (x – y) + (2x -2y) (x +y)
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Question 33 of 50
33. Question
The interior angles of a polygon are 3xº, 2xº, 4xº, 3xº and 6xº. Find the size of the smallest angle of the polygon.
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Question 34 of 50
34. Question
A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other without replacement, what is the probability that they are of different colors?
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Question 35 of 50
35. Question
Find the equation of a straight line passing through the point (1, -5) and having gradient of \(Â \frac{3}{4} \)
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Question 36 of 50
36. Question
The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rests against the pole at a point 8m above the ground. How long is the ladder?
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Question 37 of 50
37. Question
If tanx = \( \frac{3}{4}\scriptsize , \: 0 < x < 90^o \)
Evaluate \(Â \frac{cos x}{2 sinx}Â \)
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Question 38 of 50
38. Question
From the top of a vertical cliff 20m high, a boat at sea can be sighted 75m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.Â
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Question 39 of 50
39. Question
In the diagram O is the centre of the circle of radius 18cm . If ∠ZXY=70º, Calculate the length of arc ZY
Take π = \( \frac{22}{7} \)
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Question 40 of 50
40. Question
In the diagram, RT is a tangent to the circle at R, ∠PQR=70º, ∠QRT=52º, ∠QSR= y, and ∠PRQ = x.
Calculate the value of xº
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Question 41 of 50
41. Question
In the diagram, RT is a tangent to the circle at R, ∠PQR=70º, ∠QRT=52º, ∠QSR= y, and ∠PRQ = x.
Find the value of y.
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Question 42 of 50
42. Question
Calculate the variance of 2, 4, 7, 8 and 9.
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Question 43 of 50
43. Question
The fourth term of an Arithmetic progression (A.P) is 37 and the first term is -20. Find the common difference.
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Question 44 of 50
44. Question
In the diagram, PQ is parallel to RS, ∠QFG = 105o and ∠FEG = 50o
Find the value of m
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Question 45 of 50
45. Question
In the diagram, PQ is parallel to RS, ∠QFG = 105o and ∠FEG = 50o
Find the value of n.
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Question 46 of 50
46. Question
A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?
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Question 47 of 50
47. Question
The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?
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Question 48 of 50
48. Question
The following are scores obtained by some students in a test
8Â Â Â Â Â Â Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â Â Â Â 10Â Â Â Â Â Â Â Â Â Â 14Â Â Â Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â Â Â Â 11Â Â Â Â Â Â Â Â Â Â 13Â Â Â Â Â Â Â Â Â Â 14Â Â Â Â Â Â Â Â Â Â 13Â Â Â Â Â Â Â Â Â Â 17Â Â Â Â Â Â Â Â Â Â 15Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 16Â Â Â Â Â Â Â Â Â Â 13
Find the mode of the distribution
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Question 49 of 50
49. Question
The following are scores obtained by some students in a test
8Â Â Â Â Â Â Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â Â Â Â 10Â Â Â Â Â Â Â Â Â Â 14Â Â Â Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â Â Â Â 11Â Â Â Â Â Â Â Â Â Â 13Â Â Â Â Â Â Â Â Â Â 14Â Â Â Â Â Â Â Â Â Â 13Â Â Â Â Â Â Â Â Â Â 17Â Â Â Â Â Â Â Â Â Â 15Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 16Â Â Â Â Â Â Â Â Â Â 13
Find the median score
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Question 50 of 50
50. Question
The following are scores obtained by some students in a test
8Â Â Â Â Â Â Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â Â Â Â 10Â Â Â Â Â Â Â Â Â Â 14Â Â Â Â Â Â Â Â Â Â 18Â Â Â Â Â Â Â Â Â Â 11Â Â Â Â Â Â Â Â Â Â 13Â Â Â Â Â Â Â Â Â Â 14Â Â Â Â Â Â Â Â Â Â 13Â Â Â Â Â Â Â Â Â Â 17Â Â Â Â Â Â Â Â Â Â 15Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 16Â Â Â Â Â Â Â Â Â Â 13
How many students scored above the mean score?
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