Sample WAEC-style Practice Questions (Original Content)

WAEC Style

Question 1

Simplify: (3/4 - 1/3) ÷ 5/12

Question 2

If 3, x, y, 18 are in Arithmetic Progression (A.P), find the values of x and y.

Question 3

Solve for x: 5^(2x - 1) = 125

Question 4

A car depreciates by 10% of its value every year. If it is worth N2,000,000 now, what will be its value in 2 years?

Question 5

Find the length of the diagonal of a square whose area is 50 cm².

Question 6

Evaluate (111 base 2)² and leave your answer in base 2.

Question 7

If the mean of 2, 4, 8, and q is 6, find the value of q.

Question 8

A point P(x, y) is translated 3 units right and 2 units down to P'(5, 1). Find the coordinates of P.

Question 9

The probability of an event happening is 0.35. What is the probability that the event will NOT happen?

Question 10

Simplify: √48 - √27

Question 11

Find the sum of the first 20 terms of the sequence: 5, 5, 5, 5, ...

Question 12

If sin x = 4/5 and x is acute, find the value of tan x.

Question 13

In a circle of radius 14cm, calculate the length of an arc that subtends an angle of 90° at the center. (π = 22/7)

Question 14

Solve for m: 2m/3 - 1/2 = 1/6

Question 15

Find the gradient of a line perpendicular to the line y = -2x + 5.

Question 16

Calculate the variance of the numbers: 10, 10, 10, 10, 10.

Question 17

Rationalize the denominator: 6 / √3

Question 18

The ratio of the areas of two similar triangles is 16:25. What is the ratio of their corresponding sides?

Question 19

Find the value of x: log(base x) 64 = 3

Question 20

A boy is x years old. His father is 3 times as old as the boy. In 10 years' time, the sum of their ages will be 60. Find x.

Question 21

Convert 110111 (base 2) to a number in base 10.

Question 22

Make h the subject of the formula: V = (1/3) * pi * r² * h.

Question 23

A student measured a line to be 10.5 cm instead of 10.0 cm. Calculate the percentage error.

Question 24

Find the roots of the quadratic equation: x² - 7x + 10 = 0.

Question 25

In a class of 40 students, 25 like Mathematics and 20 like English. If 10 like both, how many students like neither?

Question 26

The sum of the interior angles of a regular polygon is 1080 degrees. Find the number of sides.

Question 27

Calculate the curved surface area of a cone with radius 7 cm and slant height 10 cm. (pi = 22/7)

Question 28

If tan theta = 5/12, find the value of sin theta.

Question 29

Find the range of the following set of scores: 15, 22, 18, 11, 29, 25, 14.

Question 30

Simplify: (8^2) * (2^3) / (4^4).

Question 31

Share 120 Naira between Kofi and Ama in the ratio 3:5. How much does Ama get?

Question 32

A fair coin is tossed twice. What is the probability of getting at least one head?

Question 33

Find the midpoint of the line joining points P(2, 4) and Q(6, 10).

Question 34

Express 0.003597 correct to three significant figures.

Question 35

Calculate the compound interest on 2000 Naira for 2 years at 10% per annum.

Question 36

Rationalize the denominator: 6 / sqrt(3).

Question 37

A square has a perimeter of 40 cm. Find the length of its diagonal.

Question 38

If (x - 2) is a factor of x² + kx - 6, find the value of k.

Question 39

A man walks 4 km North and then 3 km East. What is his bearing from his starting point?

Question 40

Solve: log3(x) = 4.

Question 41

If z varies jointly as x and y, and z = 12 when x = 2 and y = 3, find z when x = 5 and y = 4.

Question 42

In a pie chart, a section represents 20% of the total data. What is the angle of that sector?

Question 43

Convert the base 10 number 27 to a base 5 number.

Question 44

On a map, 1 cm represents 5 km. If two towns are 4.5 cm apart on the map, what is the actual distance?

Question 45

Find the volume of a rectangular pyramid with base area 30 cm² and height 10 cm.

Question 46

A circle has a radius of 10 cm. Find the length of a chord that is 6 cm from the center.

Question 47

Expand and simplify: (x + 3)(x - 5).

Question 48

A shopkeeper allows a 15% discount on a dress marked 4000 Naira. Find the selling price.

Question 49

Find the 5th term of the Geometric Progression: 2, 6, 18...

Question 50

The sum of the ages of a father and his son is 50. If the father is 30 years older than the son, find the son's age.

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