Mathematics Past Questions

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1,853 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 161
waec 2019

If 2\(^{a}\) = \(\sqrt{64}\) and \(\frac{b}{a}\) = 3, evaluate a\(^2 + b^{2}\) 

A250
B160
C90
D48
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Question 162
waec 2019

The total surface area of a solid cylinder 165cm\(^2\). Of the base diameter is 7cm, calculate its height. [Take \(\pi = \frac{22}{7}\)]

A7.5 cm
B4.5 cm
C4.0 cm
D2.0 cm
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Question 163
waec 2019

Which of these values would make \(\frac{3p - 1}{p^{2} - p}\) undefined? 

A1
B\(\frac{1}{3}\)
C-\(\frac{1}{3}\)
D-1
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Question 164
waec 2019

Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\) 

A\(\frac{x - 7}{x + 7}\)
B\(\frac{x + 7}{x - 7}\)
C\(\frac{x - 2}{x + 4}\)
D\(\frac{x + 2}{x - 2}\)
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Question 165
waec 2019

There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy? 

A\(\frac{1}{6}\)
B\(\frac{1}{4}\)
C\(\frac{2}{3}\)
D\(\frac{1}{2}\)
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Question 166
waec 2019

If (0.25)\(^y\) = 32, find the value of y.

Ay = - \(\frac{5}{2}\)
By = -\(\frac{3}{2}\)
Cy = \(\frac{3}{2}\)
Dy = \(\frac{5}{2}\)
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Question 167
waec 2019

If 3p = 4q and 9p = 8q - 12, find the value of pq.

A12
B7
C-7
D-12
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Question 168
waec 2019

Bala sold an article for #6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for N6,600.00. 

A5%
B10%
C12%
D13%
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Question 169
waec 2019

Simplify: \(\log_{10}\) 6 - 3 log\(_{10}\)  3 + \(\frac{2}{3} \log_{10} 27\)

A3 \(\log_{10}^2\)
B\(\log_{10}^2\)
C\(\log_{10}^3\)
D2 \(\log_{10}^3\)
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Question 170
waec 2019

Solve \(4x^{2}\) - 16x + 15 = 0.

Ax = 1\(\frac{1}{2}\) or x = -2\(\frac{1}{2}\)
Bx = 1\(\frac{1}{2}\) or x = 2\(\frac{1}{2}\)
Cx = 1\(\frac{1}{2}\) or x = -1\(\frac{1}{2}\)
Dx = -1\(\frac{1}{2}\) or x -2\(\frac{1}{2}\)
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Question 171
waec 2019

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

AH = \(\frac{p}{4y^2}\)
BH = \(\frac{2p}{y^2}\)
CH = \(\frac{p}{2y^2}\)
DH = \(\frac{p}{y^2}\)
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Question 172
waec 2019

If m : n = 2 : 1, evaluate \(\frac{3m^2 - 2n^2}{m^2 + mn}\)

 

A\(\frac{4}{3}\)
B\(\frac{5}{3}\)
C\(\frac{3}{4}\)
D\(\frac{3}{5}\)
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Question 173
waec 2019

Evaluate: 2\(\sqrt{28} - 3\sqrt{50} + \sqrt{72}\)  

A4\(\sqrt{7} - 21 \sqrt{2}\)
B4\(\sqrt{7} - 11 \sqrt{2}\)
C4\(\sqrt{7} - 9 \sqrt{2}\)
D4\(\sqrt{7} + \sqrt{2}\)
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Question 174
waec 2019

If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.

A9
B10
C6
D8
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Question 175
waec 2019

If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y

A4
B5
C6
D7
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Question 176
waec 2019

Evaluate; \(\frac{\log_3 9 - \log_2 8}{\log_3 9}\) 

A-\(\frac{1}{3}\)
B\(\frac{1}{2}\)
C\(\frac{1}{3}\)
D-\(\frac{1}{2}\)
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Question 177
waec 2019

If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\)  = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)). 

A{4, 6, 8, 10}
B{1. 4, 6, 8, 10}
C{1, 2, 4, 6, 8, 10}
D{1, 2, 3, 5, 7, 8, 9}
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Question 178
waec 2019

If 7 + y = 4 (mod 8), find the least value of y, 10 \(\leq y \leq 30\) 

A11
B13
C19
D21
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Question 179
waec 2019

Simplify, correct to three significant figures, (27.63)\(^2\) - (12.37)\(^2\) 

A614
B612
C611
D610
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Question 180
waec 2019

Solve: \(\frac{y + 1}{2} - \frac{2y - 1}{3}\) = 4

Ay = 19
By = -19
Cy = -29
Dy = 29
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