WAEC: MATHEMATICS
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2020 Mathematics WAEC Objective Past Questions

2020 Mathematics WAEC Theory Past Questions

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2018 Mathematics WAEC Theory Past Questions

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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
Simplify \(\scriptsize 10\frac{2}{5}\:Â –Â \: 6 \frac{2}{3} \: + \: 3\)
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Question 2 of 50
2. Question
If 23_{x}Â = 32_{5}, find the value of x
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Question 3 of 50
3. Question
The volume of a cube is 512cm^{3}. Find the length of its side
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Question 4 of 50
4. Question
The bar chart shows the scores of some students in a test. How many students took the test?
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Question 5 of 50
5. Question
The bar chart shows the scores of some students in a test. If one student is selected at random, find the probability that he/she scored at most 2 marks
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Question 6 of 50
6. Question
Simplify: \(\scriptsize\sqrt{12} ( \sqrt{48} – \sqrt{3})\)
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Question 7 of 50
7. Question
Which of the following number lines represents the solution to the inequality:
\( \scriptsize 9 \leq \normalsize \frac{2}{3} \scriptsize x \: – \: 7 < 5 \)
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Question 8 of 50
8. Question
In the diagram, the value of x + y = 220^{o}. Find the value of n
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Question 9 of 50
9. Question
Given that x > y and 3 < y, which of the following is/are true?
i. y > 3
ii. x < 3
iii. x > y > 3
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Question 10 of 50
10. Question
Three quarters of a number added to two and a half of the number gives 13. Find the number
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Question 11 of 50
11. Question
If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 â‰¥ x â‰¥ 6}, find x âˆ© (Y’ âˆª Z)
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Question 12 of 50
12. Question
Find the truth set of the equation x^{2}Â = 3(2x + 9)
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Question 13 of 50
13. Question
The coordinates of points P and Q are (4, 3) and (2, 1) respectively. Find the shortest distance between P and Q.
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Question 14 of 50
14. Question
Make u the subject of formula, E =Â \( \frac{m}{2g} \scriptsize (v^2 \: – \: u^2) \)
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Question 15 of 50
15. Question
In the diagram < QPT = < PTS = 90^{o}, < PQR = 110 and < TSR = 20^{o}. Find the size of the obtuse angle QRS.
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Question 16 of 50
16. Question
If x varies inversely as y and y varies directly as Z, what is the relationship between x and z?
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Question 17 of 50
17. Question
Find the gradient of the line joining the points (2, 3) and 2, 5)
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Question 18 of 50
18. Question
If (x – a) is a factor pf bx – ax + x^{2}, find the other factor.
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Question 19 of 50
19. Question
In the diagram, PQR is a straight line, (m + n) = 120^{o}Â and (n + r) = 100^{o}. Find (m + r)
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Question 20 of 50
20. Question
In the diagram, SR is parallel to UW, < WVT = x^{o}, < VUT = y^{o}, < RSV = 45^{o}Â and < VTU = 20^{o}. Find the value of x
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Question 21 of 50
21. Question
In the diagram, ST is parallel to UW, < WVT = x^{o}, < VUT = y^{o}, < RSV = 45^{o}Â and < VTU = 20^{o}. Calculate the value of y
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Question 22 of 50
22. Question
\(\scriptsize\begin{array}{cc}height & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 2 & 4 & 5 & 3 & 1
\end{array}\)The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.
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Question 23 of 50
23. Question
The area of a sector a circle with diameter 12cm is 66cm^{2}. If the sector is folded to form a cone, calculate the radius of the base of the cone [Take Ï€ = ^{22}/_{7}]
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Question 24 of 50
24. Question
A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle
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Question 25 of 50
25. Question
Which of the following is a measure of dispersion?
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Question 26 of 50
26. Question
A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?
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Question 27 of 50
27. Question
The graph given is for the relation y = 2x^{2}Â + x – 1.What are the coordinates of the point S?
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Question 28 of 50
28. Question
The graph given is for the relation y = 2x^{2}Â + x – 1. Find the minimum value of y
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Question 29 of 50
29. Question
A ship sails x km due east to a point E and continues x km due north to F. Find the bearing of F from the starting point.
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Question 30 of 50
30. Question
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z
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Question 31 of 50
31. Question
A trade bought sachet water for GH â‚µ 55.00 per dozen and sold them at 10 for GH â‚µ 50.00. calculate, correct to 2 decimal places, his percentage gain.
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Question 32 of 50
32. Question
In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ. if < TRQ = x^{o}, find < URT in terms of x
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Question 33 of 50
33. Question
Given that cos x = \( \frac{12}{13} \)
Evaluate \( \frac{1 \: – \: tanx}{tanx} \)
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Question 34 of 50
34. Question
Approximate 0.0033780 to 3 significant figures
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Question 35 of 50
35. Question
Simplify \(\sqrt{\frac{8^2 \times 4^{(n + 1)}}{2^{2n} \times 16}}\)
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Question 36 of 50
36. Question
If \(\frac{2}{x – 3} – \frac{3}{x – 2}\)is equal to \(\frac{p}{(x – 3)(x – 2)}\)
Find p
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Question 37 of 50
37. Question
Subtract ^{1}/_{2}(a – b – c) from the sum of ^{1}/_{2}(a – b + c) and ^{1}/_{2}(a + b – c)
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Question 38 of 50
38. Question
A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.
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Question 39 of 50
39. Question
A chord subtends an angle of 120^{o} at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord, [Take Ï€ = <sup.22/_{7}
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Question 40 of 50
40. Question
In parallelogram PQRS, \( \scriptsize \overline{QR} \) is produced to M such that QR = RM. What fraction of the area of PQMS is the area of PRMS?
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Question 41 of 50
41. Question
Determine the value of m in the diagram
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Question 42 of 50
42. Question
In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?
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Question 43 of 50
43. Question
If a number is selected at random from each of the sets p = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime
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Question 44 of 50
44. Question
In the diagram, O is the centre of the circle, \( \scriptsize \overline{PR}\) is a tangent to the circle at Q < SOQ = 86^{o}. Calculate the value of < SQR.
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Question 45 of 50
45. Question
If log 5.957 = 0.7750, find \( \scriptsize \log \sqrt[3]{0.0005957} \)
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Question 46 of 50
46. Question
The probability of an event P happening is ^{1}/_{5} and that of event Q is ^{1}/_{4}. If the events are independent, what is the probability that neither of them happens?
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Question 47 of 50
47. Question
Each exterior angle of a polygon is 30^{o}. Calculate the sum of the interior angles
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Question 48 of 50
48. Question
Find the number of term in the Arithmetic Progression(A.P) 2, 9, 20,…141.
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Question 49 of 50
49. Question
In what modulus is it true that 9 + 8 = 5?
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Question 50 of 50
50. Question
The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, would be the height of the same quantity of water in Q?
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