WAEC Mathematics Practice Questions

Question 1

In the triangle with sides $ a = 7 $, $ b = 24 $, and $ c = 25 $, what is the measure of angle $ C $ opposite side $ c $?

Accepted Answer

90°

Question 2

Find the derivative of $ f(x) = x^3 - 5x^2 + 7x - 2 $.

Accepted Answer

$ 3x^2 - 10x + 7 $

Question 3

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

Accepted Answer

7

Question 4

Which of the following inequalities represents the solution set for y when y - 3 > 5?

Accepted Answer

y > 8

Question 5

If log base 2 of x equals 5, what is the value of x?

Accepted Answer

32

Question 6

A curve is given by y = x^3 - 3x^2 + 4. What is the stationary point(s) of the curve?

Accepted Answer

x = 1 and x = 2

Question 7

If $A = \{1, 3, 5\}$ and $B = \{3, 4, 5\}$, what is $A \cup B$?

Accepted Answer

\{1, 3, 4, 5\}

Question 8

Evaluate the integral $\int x e^{x} dx$.

Accepted Answer

$e^{x}(x - 1) + C$

Question 9

If the quadratic equation $3x^2 - 5x + 2 = 0$ has roots $\alpha$ and $\beta$, what is the value of $\alpha + \beta$?

Accepted Answer

$\frac{5}{3}$

Question 10

Given the vectors $\mathbf{a} = 3\mathbf{i} - 2\mathbf{j} + \mathbf{k}$ and $\mathbf{b} = -\mathbf{i} + 4\mathbf{j} + 2\mathbf{k}$, what is the scalar product $\mathbf{a} \cdot \mathbf{b}$?

Accepted Answer

$3 - 8 + 2 = -3$

WAEC Mathematics AI Practice