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 13
1. Question
(a) Without using tables or calculator, simplify :
\(\frac{0.6 \: \times \: 32 \: \times \: 0.004}{1.2 \: \times \: 0.008 \: \times \: 0.16}\)
leaving the answer in standard form (scientific notation).
(b) In the diagram, \(\scriptsize\overline{EF}\) is parallel to \(\scriptsize\overline{GH}\).
If < AEF = 3x°,< ABC = 120° and < CHG = 7x°, find the value of < GHB.
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Question 2 of 13
2. Question
(a) Simplify : 3√75 – √12 + √108, leaving the answer in surd form (radicals).
(b) If 124n = 232five, find n.
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Question 3 of 13
3. Question
(a) Solve the simultaneous equation:
\( \frac{1}{x} \: + \: \frac{1}{y} \scriptsize = 5 \)
\( \frac{1}{y} \: – \: \frac{1}{x} \scriptsize = 1 \)
(b) A man drives from Ibadan to Oyo, a distance of 48km in 45 minutes. If he drives at 72 km/h where the surface is good and 48 km/h where it is bad, find the number of kilometers of good surface.
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Question 4 of 13
4. Question
(a) In the diagram, O is the centre of the circle radius r cm and < XOY = 90°. If the area of the shaded part is 504cm2, calculate the value of r. [Take π=22/7].
(b) Two isosceles triangles PQR and PQS are drawn on opposite sides of a common base PQ. If <PQR = 66° and <PSQ = 109°, calculate the value of <RQS.
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Question 5 of 13
5. Question
A building contractor tendered for two independent contracts, X and Y. The probabilities that he will win contract X is 0.5 and not win contract Y is 0.3, What is the probability that he will win :
(a) both contracts ;
(b) exactly one of the contracts ;
(c) neither of the contracts?
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Question 6 of 13
6. Question
(a) If \(\frac{3}{2p\: – \: \frac{1}{2}} = \frac{\frac{1}{3}}{\frac{1}{4}p \: + \: 1}\)
find p(b) A television set was marked for sale at GH¢ 760.00 in order to make a profit of 20%. The television set was actually sold at a discount of 5%. Calculate, correct to 2 significant figures, the actual percentage profit.
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Question 7 of 13
7. Question
(a) Copy and complete the table of values for the relation
y = 2 sinx + 1
x 0° 30° 60° 90° 120° 150° 180° 210° 240° 270° y 1.0 2.7 0.0 -0.7 (b) Using scales of 2cm to 300 on the x-axis and 2cm to 1 unit on the y-axis, draw the graph of
\( \scriptsize y = 2 sinx \: + \: 1 \: for \: 100 \leq x \leq 270^o \)
7c. Use the graph to find the values of x for which \( \scriptsize Sinx = \normalsize \frac{1}{4} \)
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Question 8 of 13
8. Question
(a) Copy and complete the following table for multiplication modulo 11.
⊗ 1 5 9 10 1 1 5 9 10 5 5 9 9 10 10 Use the table to:
i. Evaluate (9 ⊗ 5) ⊗ (10 ⊗ 10);
ii. Find the truth set of
(a) 10 ⊗ m = 2
(b) n ⊗ n = 4.
b. When a fraction is reduced to its lowest term, it is equal to \( \frac{3}{4} \) . The numerator of the fraction when doubled would be 34 greater than the denominator. Find the fraction.
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Question 9 of 13
9. Question
(a)
In the Venn diagram, P, Q and R are subsets of the universal set U. If n(U) = 125, find:
i. the value of x
ii. \( \scriptsize n( P \cup Q \cap R’) \)
(b)
In the diagram, O is the centre of the circle. If WX is parallel to YZ and <WXY = 500, find the value of :
i. <WYZ
ii. <YEZ
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Question 10 of 13
10. Question
(a) Solve (x – 2)(x – 3) = 12
(b)
In the diagram, M and N are the centres of two circles of equal radii 7cm. The circles intercept at P and Q. If < PMQ = < PNQ = 60°, calculate, correct to the nearest whole number, the area of the shaded portion.
\( \left [ \scriptsize Take \: \pi \: = \normalsize \frac{22}{7} \right ] \)
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Question 11 of 13
11. Question
(a)
Scores 1 2 3 4 5 6 Frequency 2 5 13 11 9 10 The table shows the distribution of outcomes when a die is thrown 50 times. Calculate the
i. Mean deviation of the distribution
ii. Probability that a score selected at random is at least a 4.
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Question 12 of 13
12. Question
(a) Given that \( \scriptsize 5cos(x \: + \: 8.5)^o \: – \: 1 = 0,\: 0^o \leq x \leq 90^o \)
calculate, correct to the nearest degree, the value of x.
(b) The bearing of Q from P is 0150° and the bearing of P from R is 015°. If Q and R are 24km and 32km respectively from P
(i) represent this information in a diagram;
(ii) calculate the distance between Q and R, correct to two decimal places
(iii) find the bearing of R from Q, correct to the nearest degree.
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Question 13 of 13
13. Question
(a) Two functions, f and g, are defined by
\( \scriptsize f : x \rightarrow 2x^2 \: – \: 1 \: and \: g: x \rightarrow 3x \: + \: 2 \)
where x is a real number.
(i) If f(x – 1) – 7 = 0, find the values of x
(ii) Evaluate \( \frac{f \left( -\frac{1}{2} \right).g(3)}{f(4) \: – \: g(5)} \)
(b) An operation, \( \scriptsize (\ast) \) is defined on the set R, of real numbers, by \( \scriptsize m(\ast)n \)= \( \frac{-n}{m^2 \: + \: 1} \)
where \( \scriptsize m, n \epsilon R \)
If \( \scriptsize -3, -10 \epsilon R \) Show whether or not \( \scriptsize (\ast) \) is commutative
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