WAEC Mathematics Practice Questions

Question 1

If Set A = {1, 2, 3, 4} and Set B = {3, 4, 5, 6}, what is the union of Set A and Set B?

Accepted Answer

{1, 2, 3, 4, 5, 6}

Question 2

Solve for x in the equation: 3x^2 - 12 = 0.

Accepted Answer

x = ±2

Question 3

In a right-angled triangle, if one acute angle is 30° and the hypotenuse is 10 cm, what is the length of the side opposite to the 30° angle?

Accepted Answer

5 cm

Question 4

Given the vectors $\vec{a} = 3\hat{i} - 2\hat{j}$ and $\vec{b} = \hat{i} + 4\hat{j}$, find $\vec{a} \cdot \vec{b}$.

Accepted Answer

-5

Question 5

If $p$ and $q$ are prime numbers such that $p^2 - q^2 = 168$, find the values of $p$ and $q$.

Accepted Answer

$p=17, q=5$

Question 6

If log_b(x) = 3, which of the following expresses x in terms of b?

Accepted Answer

x = b^3

Question 7

Find the derivative of f(x) = 5x^4 - 3x + 2.

Accepted Answer

20x^3 - 3

Question 8

Given a vector u = 3i - 2j + k and v = i + 4j - 5k, find the scalar product u · v.

Accepted Answer

3 + (-8) + (-5) = -10

Question 9

Given the inequality $ 3x - 7 > 2x + 5 $, what is the solution?

Accepted Answer

$ x > 12 $

Question 10

Find the derivative of $ y = x^3 \sin x $.

Accepted Answer

$ 3x^2 \sin x + x^3 \cos x $

WAEC Mathematics AI Practice