WAEC Mathematics Practice Questions

Question 1

If $ A = \{1, 3, 5, 7\} $ and $ B = \{3, 5, 9\} $, what is $ A \cap B $?

Accepted Answer

\{3, 5\}

Question 2

Solve the quadratic equation $ 2x^2 - 4x - 6 = 0 $. What are the roots?

Accepted Answer

$ x=3, x=-1 $

Question 3

Given the inequality $ 3x - 7 < 2x + 5 $, which of the following represents the solution set?

Accepted Answer

$ x < 12 $

Question 4

If $ \vec{a} = 3\hat{i} - 2\hat{j} + \hat{k} $ and $ \vec{b} = -\hat{i} + 4\hat{j} + 2\hat{k} $, what is the dot product $ \vec{a} \cdot \vec{b} $?

Accepted Answer

1

Question 5

Find the roots of the quadratic equation $ 2x^2 - 7x + 3 = 0 $.

Accepted Answer

$x=3, \; x=\frac{1}{2}$

Question 6

Evaluate the integral $ \int_0^1 (4x^3 - 2x) \, dx $.

Accepted Answer

$1$

Question 7

A die is rolled twice. What is the probability that the sum of the two rolls is 7?

Accepted Answer

1/6

Question 8

Find the sum of the first 10 terms of the arithmetic sequence where the first term a_1 = 5 and the common difference d = 3.

Accepted Answer

140

Question 9

Differentiate the function $ f(x) = 3x^3 - 5x^2 + 4x - 7 $. What is $ f'(x) $?

Accepted Answer

$ 9x^2 - 10x + 4 $

Question 10

Evaluate the sum of the infinite geometric series $ 5 + 3 + \frac{9}{5} + \ldots $ if it converges.

Accepted Answer

$ 12.5 $

WAEC Mathematics AI Practice