WAEC: MATHEMATICS
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2020 Mathematics WAEC Objective Past Questions

2020 Mathematics WAEC Theory Past Questions

2019 Mathematics WAEC Objective Past Questions

2018 Mathematics WAEC Objective Past Questions

2018 Mathematics WAEC Theory Past Questions

2017 Mathematics WAEC Objective Past Questions

2017 Mathematics WAEC Theory Past Questions

2016 Mathematics WAEC Objective Past Questions

2016 Mathematics WAEC Theory Past Questions

2015 Mathematics WAEC Objective Past Questions

2015 Mathematics WAEC Theory Past Questions

2014 Mathematics WAEC Objective Past Questions

2014 Mathematics WAEC Theory Past Questions
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Question 1 of 50
1. Question
Evaluate correct to two decimal places, 75.0785 – 34.624 + 9.83
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Question 2 of 50
2. Question
If X = {x: x <7} and Y = {y: y is a factor of 24} are subsets of µ= {1, 2, 3…10} find X∩Y.
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Question 3 of 50
3. Question
Simplify \(\left [\left (\normalsize \frac{16}{9} \right )^{\normalsize \frac{3}{2}} \scriptsize \: \times \: 16^{ \normalsize \frac{3}{4}} \right ]^{\normalsize \frac{1}{3}}\)
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Question 4 of 50
4. Question
Find the least value of x which satisfies the equation 4x = 7(mod9)
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Question 5 of 50
5. Question
Express 1 + 2log_{10}3 in the form log_{10}q
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Question 6 of 50
6. Question
If 101_{two} + 12_{y} = 23_{five.} Find the value of (x +y).
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Question 7 of 50
7. Question
An amount of ₦550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x.
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Question 8 of 50
8. Question
Given that \( \frac{\sqrt{3} \: + \: \sqrt{5}}{\sqrt{5}} = \scriptsize x \:+\: y\sqrt{15} \)
Find the Value of (x +y).
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Question 9 of 50
9. Question
If x = 3 and y = 1, evaluate \( \scriptsize 2(x^2 \: – \: y^2) \)
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Question 10 of 50
10. Question
Solve 3x – 2y = 10 and x + 3y = 7 simultaneously
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Question 11 of 50
11. Question
The implication x ⇒ y is equivalent to
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Question 12 of 50
12. Question
The first term of a Geometric Progression (G.P) is 3 and the 5^{th} term is 48. Find the common ratio.
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Question 13 of 50
13. Question
Solve \( \normalsize \frac{1}{3} \scriptsize (5 \: – \: 3x) < \normalsize\frac{2}{5} \scriptsize (3 \: – \: 7x) \)
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Question 14 of 50
14. Question
Make m the subject of the relation k = \( \sqrt{\frac{m \: – \: y}{m \: + \: 1}} \)
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Question 15 of 50
15. Question
Find the quadratic equation whose roots are \(\frac{1}{2}\) and \( \frac{1}{3}\)
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Question 16 of 50
16. Question
Given that x is directly proportional to y and inversely proportional to z, x =15 when y = 10 and z = 4, find the equation connecting x, y, and z.
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Question 17 of 50
17. Question
Two buses start from the same station at 9.00 a.m and travel in opposite directions along the same straight road. The first bus travels at a speed of 72km/h and the second at 48km/h. At what time will they be 240 km apart?
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Question 18 of 50
18. Question
A solid cuboid has a length of 7 cm; width of 5 cm and height of 4 cm. Calculate its total surface area.
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Question 19 of 50
19. Question
In the diagram, \( \scriptsize \bar{PQ}// \bar{SR} \)
Find the value of x
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Question 20 of 50
20. Question
Find the equation of the line parallel to 2y = 3(x – 2) and passes through the point (2, 3).
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Question 21 of 50
21. Question
The expression \( \frac{5x \: + \: 3}{6x(x \: + \: 1)} \) will be underlined when x equals.
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Question 22 of 50
22. Question
A man is five times as old as his son. In four years’ time, the product of their ages would be 340. If the son’s age is y, express the product of their ages in terms of y.
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Question 23 of 50
23. Question
Simplify \( \frac{a}{b} \: – \: \frac{b}{a} \: – \: \frac{c}{b} \)
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Question 24 of 50
24. Question
In the diagram, XYZ is an equilateral triangle of side 6cm and T is the midpoint of \( \scriptsize \hat{XY} \) . Find Tan (∠XZT).
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Question 25 of 50
25. Question
A fence, 2.4m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the fence.
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Question 26 of 50
26. Question
Fati buys milk at ₦x per tin and sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receive from sales?
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Question 27 of 50
27. Question
If tan y is positive and sin y is negative, in which quadrant would y lie?
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Question 28 of 50
28. Question
The dimensions of a rectangular base of a right pyramid are 9cm by 5cm. if the volume of the pyramid is 105cm^{3}, how high is the pyramid?
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Question 29 of 50
29. Question
Each interior angle of a regular polygon is 168ᵒ. Find the number of sides of the polygon.
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Question 30 of 50
30. Question
In the diagram, MN  PQ, ∠MNP = 2x and ∠NPQ = (3x – 50^{o}). Find the value of ∠NPQ
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Question 31 of 50
31. Question
The length of an arc of a circle of radius 3.5cm is \( \scriptsize 1 \frac{19}{36} \). Calculate, correct to the nearest degree, the angle subtended by the arc at the center of the circle.
Take π = \( \frac{22}{7} \)
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Question 32 of 50
32. Question
In the diagram, PU  SR, PS  TR, QS  UR, UR = 15 cm, SR = 8 cm, PS = 10 cm and the area of SUR = 24 cm^{2}. Calculate the area of PTRS.
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Question 33 of 50
33. Question
In the diagram, PQR is a circle with center O. If ∠OPQ = 48^{o}, find the value of m
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Question 34 of 50
34. Question
The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?
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Question 35 of 50
35. Question
The mean of the numbers 15, 21, 17, 26, 18 and 29 is 21. Calculate the standard deviation.
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Question 36 of 50
36. Question
In the diagram, O is the center of the circle. SOQ is the diameter and ∠ SRP = 37^{o}. Find ∠PSQ.
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Question 37 of 50
37. Question
Find the sum of interior angles of a pentagon.
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Question 38 of 50
38. Question
The diameter of a sphere is 12cm. Calculate, correct to the nearest cm^{3}, the volume of the sphere
Take π = \( \frac{22}{7} \)
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Question 39 of 50
39. Question
A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green.
Use this information to answer the question below
If a ball is selected at random from the box, what is the probability that it is green?
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Question 40 of 50
40. Question
A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green.
Use this information to answer the question below
If a ball is selected at random from the box, what is the probability that it is green?
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Question 41 of 50
41. Question
In the diagram, PQ is a straight line.
If m = \( \frac{1}{2} \scriptsize (x \: + \: y \: + \: z) \) find the value of m
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Question 42 of 50
42. Question
x 6.20 6.85 7.50 y 3.90 5.20 6.50 The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.
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Question 43 of 50
43. Question
In the diagram, O is the centre of the circle, \( \scriptsize \bar{PQ} \: and \: \bar{RS} \) are tangents to the circle. Find the value of (m + n)
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Question 44 of 50
44. Question
In the diagram, O is the centre of the circle. If ∠NLM = 74^{o}, ∠LMN = 39^{o} and ∠LOM = x, find the value of x
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Question 45 of 50
45. Question
Which of the following is not a sufficient condition for two triangles to be congruent?
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Question 46 of 50
46. Question
A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?
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Question 47 of 50
47. Question
The interquartile range of a distribution is 7. If the 25^{th} percentile is 16, find the upper quartile.
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Question 48 of 50
48. Question
The graphs of the equations y = 2x + 5 and y = 2x^{2} + x – 1 are shown.
Use this information to answer the question
Find the points of intersection of the two graphs.
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Question 49 of 50
49. Question
The graphs of the equations y = 2x + 5 and y = 2x^{2} + x – 1 are shown.
Use this information to answer the question
If x =2.5, what is the value of y on the curve?
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Question 50 of 50
50. Question
If (x + 2) is a factor of x² + Px – 10, find the value of p.
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