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 48
1. Question
If \( \scriptsize \: \left(x : 2 \leq x \leq 18\right) \); x is an integer, and 7 + x = 4 (mod 9), find the highest value of x.
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Question 2 of 48
2. Question
The sum of 110112, 111112 and 100002 is 10m10n02. Find the value of m and n.
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Question 3 of 48
3. Question
A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?
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Question 4 of 48
4. Question
If \(\frac{27^x \: \times \: 3^{1 – x}}{9^{2x}} \scriptsize = 1\)
find the value of x.
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Question 5 of 48
5. Question
Find the 7th term of the sequence: 2, 5, 10, 17, 26,…
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Question 6 of 48
6. Question
Given that logx 64 = 3, evaluate x log28
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Question 7 of 48
7. Question
If \( \scriptsize 2^n = y. \: Find \: 2^{\left(\scriptsize 2 \: + \: \normalsize \frac{n}{3}\right)} \)
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Question 8 of 48
8. Question
Factorize completely: 6ax – 12by – 9ay + 8bx
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Question 9 of 48
9. Question
Find the equation whose roots are 3/4 and -4
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Question 10 of 48
10. Question
If m = 4, n = 9 and r = 16
Evaluate \( \normalsize \frac{m}{n} \: -\: \scriptsize 1 \frac{7}{9} \: + \: \normalsize \frac{n}{r} \)
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Question 11 of 48
11. Question
Adding 42 to a given positive number gives the same result as squaring the number. Find the number
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Question 12 of 48
12. Question
Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving?
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Question 13 of 48
13. Question
The volume of a cone of height 3cm is 381/2cm3. Find the radius of its base. [Take π=22/7]
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Question 14 of 48
14. Question
A sector of a circle with radius 6cm subtends an angle of 60º at the centre. Calculate its perimeter in terms of π
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Question 15 of 48
15. Question
The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take π=22/7]
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Question 16 of 48
16. Question
In the diagram, O is the centre. If PQ||RS and <ONS = 1400. Find the size of <POM.
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Question 17 of 48
17. Question
In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN
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Question 18 of 48
18. Question
In the diagram, PQ//RT, QR//Su,
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Question 19 of 48
19. Question
In the diagram, O is the centre, RT is a diameter, < PQT = 33o and < TOS = 76o
Calculate the value of angle PTR
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Question 20 of 48
20. Question
In the diagram, O is the centre, RT is a diameter, < PQT = 33o and < TOS = 76o.
Using the diagram, find the size of angle PRS.
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Question 21 of 48
21. Question
\(\scriptsize\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 0 & 5\frac{1}{2} & &
\end{array}\)The table given shows some values for a linear graph. Find the gradient of the line
Find the gradient of the line
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Question 22 of 48
22. Question
\(\scriptsize\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 0 & 5\frac{1}{2} & &
\end{array}\)The table given shows some values for a linear graph. Find the gradient of the line
What is the value of y when x = 2?
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Question 23 of 48
23. Question
Given that \( \scriptsize tanx = \frac{2}{3}, \: where \: 0^o \leq x \leq 90^o \)
find the value of 2Sinx.
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Question 24 of 48
24. Question
PQRS is square. If x is the midpoint of PQ, Calculate correct to the nearest degree, LPXS
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Question 25 of 48
25. Question
The angle of elevation of an aircraft from a point K on the horizontal ground 30α. If the aircraft is 800m above the ground, how far is it from K?
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Question 26 of 48
26. Question
The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 7 students
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Question 27 of 48
27. Question
The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.
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Question 28 of 48
28. Question
\(\scriptsize\begin{array}{c|c}
Scores & 0 – 4 & 5 – 9 & 10 – 14\\
\hline Frequency & 2 & 1 & 2\end{array}\)
The table shows the distribution of the scores of some students in a test. Calculate the mean scores.CorrectIncorrect -
Question 29 of 48
29. Question
The probability that kebba, Ebou and Omar will hit a target are 2/3, 3/4 and 4/5 respectively. Find the probability that only Kebba will hit the target.
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Question 30 of 48
30. Question
In the diagram, VW|| YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|
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Question 31 of 48
31. Question
Tom will be 25 years old in n years time. If he is 5 years younger than Bade, what is Bade’s present age?
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Question 32 of 48
32. Question
If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n√6, find the value of (m + n)
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Question 33 of 48
33. Question
In the given diagram, \( \scriptsize \overline{PR} \: and \: \overline{QT} \) are straight lines, < ROS = (3n – 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.
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Question 34 of 48
34. Question
Make K the subject of the relation T = \(\sqrt{\frac{TK – H}{K – H}}\)
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Question 35 of 48
35. Question
Which of the following is used to determine the mode of a grouped data?
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Question 36 of 48
36. Question
The area of a rhombus is 110 cm2. If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.
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Question 37 of 48
37. Question
Simplify: \(\frac{3x\: – \:y}{xy}\: -\: \frac{2x \:+ \:3y}{2xy} \:+ \:\frac{1}{2}\)
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Question 38 of 48
38. Question
A farmer uses 2/5 of his land to grow cassava, 1/3 of the remaining for yam and the rest for maize. Find the part of the land used for maize
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Question 39 of 48
39. Question
The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol?
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Question 40 of 48
40. Question
A trader bought 100 oranges at 5 for N40.00 and 20 for N120.00. Find the profit or loss percent
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Question 41 of 48
41. Question
Describe the shaded portion in the diagram
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Question 42 of 48
42. Question
Find the value of \( \normalsize \frac{1}{4} \scriptsize p \: + \: 3q = 10 \) and
\( \scriptsize 2p \: – \: \normalsize \frac{1}{3}\scriptsize q =7 \)
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Question 43 of 48
43. Question
Calculate the mean deviation of 5, 3, 0, 7, 2, 1
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Question 44 of 48
44. Question
In the diagram, the shaded part is carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find the area of the margin
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Question 45 of 48
45. Question
Two angles of a pentagon are in the ratio 2:3. The others are 60o each. Calculate the smaller of the two angles
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Question 46 of 48
46. Question
A letter is selected from the letters of the English alphabet. What is the probability that the letter selected is from the word MATHEMATICS?
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Question 47 of 48
47. Question
In a circle radius rcm, a chord 16√3cm long is 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r
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Question 48 of 48
48. Question
In the diagram, \( \scriptsize \overline{OX} \) bisects <YXZ and \( \scriptsize \overline{OZ} \) bisects < YZX. If <XYZ = 680, Calculate the value of <XOZ.
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