WAEC Mathematics Past Questions & Answers

1,021.

A number is selected at random from the set Y = {18, 19, 20, . . . 28, 29}. Find the probability that the number is prime.

$\frac{1}{4}$

$\frac{3}{11}$

$\frac{1}{2}$

$\frac{3}{4}$

View answer & explanation

Correct answer is A

Y = {18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}

Number of prime numbers = 3

Prob(picking a prime number) = $\frac{3}{12}$

= $\frac{1}{4}$

1,022.

The base diameter of a cone is 14cm, and its volume is 462 cm³. Find its height. [Taken $\pi = \frac{22}{7}$ ]

3.5cm

5cm

7cm

9cm

View answer & explanation

Correct answer is D

From $V = \frac{1}{3}\pi r^2 h. \hspace{1mm} r =\frac{14}{2}\\ 462 = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times h \\ h = \frac{3 \times 462}{22 \times 7}\\ h = 9$

1,023.

The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. lf the area of the trapezium is 105 cm², find the perpendicular distance between the parallel sides.

5cm

7cm

10cm

15cm

View answer & explanation

Correct answer is C

$\frac{1}{2}(a+b)\times h = 105cm^2\\ \frac{1}{2}(9+12)\times h = 105\\ h = \frac{105 \times 2}{21} = 10cm$

1,024.

Simplify $\frac{1}{1-x} + \frac{2}{1+x}$

$\frac{x+3}{1-x^2}$

$\frac{x-3}{1+x^2}$

$\frac{3-x}{1-x^2}$

$\frac{3-x}{1+x^2}$

View answer & explanation

Correct answer is C

$\frac{1}{1-x} + \frac{2}{1+x}\\ \frac{1+x+2-2x}{(1-x)(1+x)} = (\frac{3-x}{1-x^2})$

1,025.

For what values of x is the expression $\frac{3x-2}{4x^2+9x-9}$ undefined?

$\frac{-3}{4} \hspace{1mm}or \hspace{1mm}3$

$\frac{-2}{3} \hspace{1mm}or \hspace{1mm}-3$

$\frac{2}{3} \hspace{1mm}or \hspace{1mm}3$

$\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3$

View answer & explanation

Correct answer is D

The equation $\frac{3x - 2}{4x^2 + 9x - 9}$ is undefined when the denominator = 0.

$4x^2 + 9x - 9 = 0$

$4x^2 + 12x - 3x - 9 = 0$

$4x(x + 3) - 3(x + 3) = 0$

$(4x - 3)(x + 3) = 0$

x = $\frac{3}{4}$ or x = -3.

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