WAEC: MATHEMATICS
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2021 Mathematics WAEC Objective Past Questions

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2020 Mathematics WAEC Theory Past Questions

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2019 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
Express 0.0000407, correct to 2 significant figures
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Question 2 of 50
2. 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 3 of 50
3. Question
Evaluate \(\frac{3\frac{1}{4} \: \times \: 1\frac{3}{5}}{11\frac{1}{3}\: – \: 5 \frac{1}{3}}\)
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Question 4 of 50
4. Question
Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in module 5. Use these tables to solve the equation
\( \scriptsize (n \oplus 4) \otimes 3 = 0 \: (mod \: 5) \)
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Question 5 of 50
5. Question
The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa’s age is 4:5, what is the ratio of Tunde’s age to Musa’s age?
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Question 6 of 50
6. Question
If M = {x : 3 ≤ x < 8} and N = {x : 8 < x ≤ 12}, which of the following is true?
i. 8 ∈ M ∩ N
ii. 8 ∈ M ∪ N
iii. M ∩ N = ∅
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Question 7 of 50
7. Question
Given that a = log 7 and b = log 2, express log 35 in terms of a and b.
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Question 8 of 50
8. Question
If \( \frac{2}{3} \) and y = – 6, evaluate \( \scriptsize xy \: \: \normalsize \frac{y}{x} \)
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Question 9 of 50
9. Question
Solve the equation: \( \normalsize\frac{1}{5} \scriptsize x \: + \: \normalsize\frac{1}{x} \scriptsize = 3\)
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Question 10 of 50
10. Question
A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy’s share.
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Question 11 of 50
11. Question
One factor of 7x^{2 }+ 33x −1 0 is
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Question 12 of 50
12. Question
Solve \( \normalsize \frac{1}{4} < \frac{3}{4} \scriptsize (3x \: \: 2) < \normalsize \frac{1}{2} \)
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Question 13 of 50
13. Question
Simplify; 3x – (p – x) – (r – p)
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Question 14 of 50
14. Question
An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take π=^{22}/_{7}]
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Question 15 of 50
15. Question
Water flows out of a pipe at a rate of 40πcm^{2} per second into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.
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Question 16 of 50
16. Question
The dimensions of water tank are 13cm, 10cm and 70cm. If it is halffilled with water, calculate the volume of water in litres
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Question 17 of 50
17. Question
If the total surface area of a solid hemisphere is equal to its volume, find the radius
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Question 18 of 50
18. Question
Which of the following is true about parallelogram?
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Question 19 of 50
19. Question
In the diagram, XY is a straight line. <POX = <POQ and <ROY = <QOR. Find the value of <POQ + <ROY.
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Question 20 of 50
20. Question
The diagram shows a circle centre O. if <STR = 29º and <RST = 46º, calculate the value of <STO
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Question 21 of 50
21. Question
The diagram shows a circle O. If < ZYW = 33^{o} , find < ZWX
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Question 22 of 50
22. Question
In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n, and <SQR= 33^{o}, find the value of (m + n)CorrectIncorrect 
Question 23 of 50
23. Question
Calculate the gradient (slope) of the joining points (1, 1) and (2, 2)
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Question 24 of 50
24. Question
If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ
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Question 25 of 50
25. Question
A bearing of 320^{o} expressed as a compass bearing is
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Question 26 of 50
26. Question
Given that cos 30^{o} = sin 60^{o} = ^{√3}/_{2} and sin 30^{o} = cos 60^{o} = ^{1}/_{2}, evaluate \(\frac{tan 60^o \: – \: 1}{1\: – \: tan 30^o}\)
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Question 27 of 50
27. Question
A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angles of depression of the boat from point of observation
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Question 28 of 50
28. Question
The average age of a group of 25 girls is 10 years. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group
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Question 29 of 50
29. Question
The bar chart shows the statistics of the number of passes and failures in an examination in a school from 2001 to 2004. What is the ratio of the total number of passes to the total number of failures?
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Question 30 of 50
30. Question
Marks 0 1 2 3 4 5 frequency 7 4 18 12 8 11 The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution
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Question 31 of 50
31. Question
Marks 0 1 2 3 4 5 frequency 7 4 18 12 8 11 The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, find the first quartile
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Question 32 of 50
32. Question
In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.
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Question 33 of 50
33. Question
In what number base was the addition 1 + n = 100, where n > 0, done?
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Question 34 of 50
34. Question
Simplify; √2(√6 +2√2) −2√3
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Question 35 of 50
35. Question
Three exterior angles of a polygon are 30^{o}, 40^{o} and 60^{o}. If the remaining exterior angles are 46^{o} each, name the polygon.
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Question 36 of 50
36. Question
In the diagram, NQ//TS, <RTS = 50º and <PRT = 100º. Find the value of <NPR
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Question 37 of 50
37. Question
Simplify the expression \(\frac{a^2 b^4 – b^2 a^4}{ab(a + b)}\)
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Question 38 of 50
38. Question
Find the 6th term of the sequence ^{2}/_{3}, ^{7}/_{15}, ^{4}/_{15},…
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Question 39 of 50
39. Question
The diagonal of a square is 60 cm. Calculate its peremeter
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Question 40 of 50
40. Question
The roots of a quadratic equation are −^{1}/_{2} and ^{2}/_{3}. Find the equation.
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Question 41 of 50
41. Question
Make x the subject of the relation d = \(\sqrt{\frac{6}{x} \: – \: \frac{y}{2}}\)
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Question 42 of 50
42. Question
Consider the statements: p it is hot, q: it is raining
Which of the following symbols correctly represents the statement “It is raining if and only if it is cold”?
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Question 43 of 50
43. Question
Given that t = 2^{– x}, find 2^{ x + 1} in term of t
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Question 44 of 50
44. Question
Find the value of m in the diagram
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Question 45 of 50
45. Question
Two bottles are drawn with replacement from a crate containing 8 Coke, 12 Fanta and 4 Sprite bottles. What is the probability that the first is Coke and the second is not Coke?
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Question 46 of 50
46. Question
If the simple interest on a certain amount of money saved in a bank for 5 years at 2 ½ % per annum is N500. 00, calculate the total amount due after 6 years at the same rate
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Question 47 of 50
47. Question
Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9
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Question 48 of 50
48. Question
A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path.
\( \scriptsize Take \: \pi = \normalsize \frac{22}{7} \)
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Question 49 of 50
49. Question
The graph of y = ax^{2}+bx+c is shown on the diagram. Find the minimum value of y
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Question 50 of 50
50. Question
In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24^{o}, calculate the value of < STR
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