Math Past Questions 2025

Question 1

Convert 101101 (base 2) to a number in base 10.

A. 45
B. 40
C. 35
D. 50

Question 2

If 2/3 of a number is added to 1/4 of the same number, the result is 22. Find the number.

A. 12
B. 24
C. 36
D. 48

Question 3

The sum of the interior angles of a regular polygon is 1080°. How many sides does the polygon have?

A. 6
B. 7
C. 8
D. 10

Question 4

Simplify: √75 - √27 + √12

A. 4√3
B. 3√3
C. 10√3
D. 2√3

Question 5

A bag contains 5 red, 4 blue, and 6 yellow sweets. What is the probability of picking a blue sweet at random?

A. 1/3
B. 4/15
C. 2/5
D. 1/15

Question 6

Solve the inequality: 3(x - 2) < 2x + 5

A. x < 11
B. x > 11
C. x < 1
D. x > -1

Question 7

Find the value of x if log(base 10) x = -2

A. 20
B. 0.2
C. 0.01
D. 0.02

Question 8

The bearing of P from Q is 065°. What is the bearing of Q from P?

A. 115°
B. 225°
C. 245°
D. 295°

Question 9

Factorize completely: 4x² - 9y²

A. (2x - 3y)(2x - 3y)
B. (2x + 3y)(2x - 3y)
C. (4x - 9y)(x + y)
D. (2x + 9y)(2x - y)

Question 10

Calculate the simple interest on N20,000 for 3 years at 5% per annum.

A. N3,000
B. N4,000
C. N2,000
D. N3,500

Question 11

If y varies inversely as x, and y = 10 when x = 2, find y when x = 5.

A. 25
B. 4
C. 1
D. 20

Question 12

Find the gradient of the line joining points A(2, 5) and B(4, 9).

A. 1/2
B. 2
C. 3
D. 4

Question 13

The mean of 5, 8, 10, x, and 12 is 9. Find the value of x.

A. 8
B. 9
C. 10
D. 11

Question 14

What is the value of sin 30° + cos 60°?

A. 1/2
B. 1
C. √3/2
D. 2

Question 15

The radius of a circle is 7cm. Calculate its area. (Take π = 22/7)

A. 44 cm²
B. 88 cm²
C. 154 cm²
D. 49 cm²

Question 16

Solve for x: 2 raised to the power (x - 1) = 16

A. 3
B. 4
C. 5
D. 6

Question 17

Solve for x if 3x plus 5 equals 20.

A. 3
B. 5
C. 15
D. 25

Question 18

Find the mean of the following set of numbers: 4, 8, 12, and 16.

A. 8
B. 10
C. 12
D. 40

Question 19

Convert the number 101 in base two to a number in base ten.

A. 3
B. 5
C. 6
D. 10

Question 20

A bag contains 3 red balls and 7 blue balls. What is the probability of picking a red ball at random?

A. 3 over 7
B. 3 over 10
C. 7 over 10
D. 1 over 3

Question 21

Simplify the expression: 2a plus 3b minus a plus 2b.

A. a plus b
B. 3a plus 5b
C. a plus 5b
D. 2a plus 5b

Question 22

If the sum of angles on a straight line is 180 degrees, find y if one angle is 70 degrees and the other is y.

A. 70 degrees
B. 90 degrees
C. 110 degrees
D. 180 degrees

Question 23

What is the value of 5 squared plus 2 cubed?

A. 17
B. 25
C. 33
D. 40

Question 24

Calculate the simple interest on 2000 naira at a rate of 5 percent per annum for 2 years.

A. 100 naira
B. 200 naira
C. 400 naira
D. 500 naira

Question 25

Solve the inequality: 2x is greater than 10.

A. x is greater than 5
B. x is less than 5
C. x is greater than 20
D. x is equal to 5

Question 26

Find the area of a rectangle with length 10cm and width 6cm.

A. 16cm squared
B. 32cm squared
C. 60cm squared
D. 100cm squared

Question 27

What is the square root of 144?

A. 10
B. 12
C. 14
D. 16

Question 28

If y is directly proportional to x, and y equals 10 when x equals 2, find y when x equals 5.

A. 15
B. 20
C. 25
D. 50

Question 29

Find the value of x in the equation: x divided by 4 equals 8.

A. 2
B. 12
C. 32
D. 40

Question 30

A triangle has base 8cm and height 5cm. Calculate its area.

A. 13cm squared
B. 20cm squared
C. 40cm squared
D. 80cm squared

Question 31

Express 0.00045 in standard form.

A. 4.5 times 10 to the power of negative 4
B. 4.5 times 10 to the power of negative 3
C. 45 times 10 to the power of negative 5
D. 0.45 times 10 to the power of negative 3

Question 32

Find the median of the following numbers: 3, 7, 9, 4, 6.

A. 4
B. 6
C. 7
D. 9

Question 33

What is the sum of the interior angles of a quadrilateral?

A. 180 degrees
B. 270 degrees
C. 360 degrees
D. 540 degrees

Question 34

If 20 percent of a number is 40, what is the number?

A. 80
B. 100
C. 200
D. 800

Question 35

The radius of a circle is 7cm. Find the circumference using pi as 22 over 7.

A. 22cm
B. 44cm
C. 88cm
D. 154cm

Question 36

Solve for m: 4m minus 8 equals 0.

A. 2
B. 4
C. 8
D. 12

Question 37

Find the LCM of 12 and 15.

A. 3
B. 30
C. 60
D. 180

Question 38

A car travels 120km in 2 hours. What is its average speed?

A. 60km per hour
B. 80km per hour
C. 120km per hour
D. 240km per hour

Question 39

Evaluate: (3 plus 4) times (10 minus 2).

A. 15
B. 24
C. 56
D. 70

Question 40

If the diameter of a circle is 14cm, what is its radius?

A. 7cm
B. 14cm
C. 28cm
D. 44cm

Question 41

What is the value of 10 to the power of 0?

A. 0
B. 1
C. 10
D. 100

Question 42

Solve the simultaneous equations: x plus y equals 5 and x minus y equals 1. Find x.

A. 2
B. 3
C. 4
D. 5

Question 43

Find the HCF of 24 and 36.

A. 6
B. 8
C. 12
D. 24

Question 44

What is the gradient of the line y equals 3x plus 2?

A. 2
B. 3
C. x
D. 5

Question 45

Find the third angle of a triangle if the other two angles are 50 degrees and 60 degrees.

A. 50 degrees
B. 60 degrees
C. 70 degrees
D. 110 degrees

Question 46

Convert 0.75 to a fraction in its simplest form.

A. 1 over 2
B. 3 over 4
C. 3 over 5
D. 75 over 100

Question 47

The range of the set of numbers 2, 10, 15, 20, 25 is

A. 2
B. 20
C. 23
D. 25

Question 48

How many sides does a hexagon have?

A. 5
B. 6
C. 7
D. 8

Question 49

Evaluate the square root of 0.04.

A. 0.02
B. 0.2
C. 2.0
D. 0.4

Question 50

In a right angled triangle, what is the value of the hypotenuse if the other two sides are 3cm and 4cm?

A. 5cm
B. 7cm
C. 12cm
D. 25cm

Sample WAEC-style Practice Questions (Original Content)