WAEC Mathematics Practice

Question 1

What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?

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Question 2

Simplify the algebraic expression: 3x - 2x + 4.

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Question 3

Solve for x: 2x + 5 = 13.

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Question 4

If f(x) = x^2 - 4x + 3, what are the roots of f(x)?

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Question 5

Which inequality represents all x such that x is greater than or equal to 3?

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Question 6

What is the value of log₃ 81?

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Question 7

Find the sum of the first 10 terms of the arithmetic sequence with first term 2 and common difference 3.

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Question 8

If matrix A = [[1, 2], [3, 4]], what is the determinant of A?

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Question 9

Which of the following vectors is a unit vector?

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Question 10

What is the midpoint of the line segment joining points (2, 3) and (6, 7)?

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Question 11

Find the exact value of sin 30°.

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Question 12

Differentiate f(x) = 3x^3 - 5x + 2 with respect to x.

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Question 13

Evaluate the integral ∫ 2x dx.

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Question 14

A particle moves such that its velocity v(t) = 6t - 4. Find its acceleration a(t).

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Question 15

What is the probability of getting an even number when a fair six-sided die is rolled?

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Question 16

Find the greatest common divisor (GCD) of 48 and 18.

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Question 17

If A = {x : x is a prime number less than 10} and B = {2, 3, 5}, what is A ∩ B?

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Question 18

Solve the quadratic equation x^2 - 5x + 6 = 0.

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Question 19

If 2^x = 16, what is the value of x?

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Question 20

Find the 5th term of the geometric sequence with first term 3 and common ratio 2.

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Question 21

If matrix B = [[2, 0], [1, 3]], what is the inverse of B?

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Question 22

Find the magnitude of vector v = (3, -4).

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Question 23

Find the slope of the line passing through points (1, 2) and (3, 6).

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Question 24

Find the exact value of cos 60°.

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Question 25

Differentiate y = sin x with respect to x.

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Question 26

Evaluate the definite integral ∫ from 0 to 2 of x dx.

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Question 27

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

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Question 28

Find the least common multiple (LCM) of 6 and 8.

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Question 29

If A = {1, 2, 3} and B = {3, 4, 5}, what is the complement of B relative to A?

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Question 30

Expand and simplify (x + 3)(x - 2).

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Question 31

Find the roots of the equation x^2 + 4x + 5 = 0.

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Question 32

Which of the following inequalities has solution x ≤ -3?

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Question 33

What is log₁₀ 1000?

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Question 34

Find the 6th term of the arithmetic progression 5, 8, 11, ...

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Question 35

Find the determinant of the matrix [[4, 7], [2, 6]].

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Question 36

What is the angle between vectors a = (1, 0) and b = (0, 1)?

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Question 37

Find the equation of the line passing through (0, 3) with slope 4.

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Question 38

What is tan 45°?

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Question 39

Differentiate y = e^x with respect to x.

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Question 40

Calculate the integral ∫ x^2 dx.

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Question 41

A function is defined as f(x) = x^2. What is f'(x)?

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Question 42

The probability of event A is 0.3 and event B is 0.4. If A and B are mutually exclusive, what is P(A or B)?

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Question 43

What is the prime factorization of 60?

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Question 44

If A = {1, 2, 3} and B = {2, 3, 4}, what is the intersection A ∩ B?

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Question 45

Solve for x: 3x - 7 = 2x + 5.

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Question 46

What is the vertex of the parabola y = x^2 - 6x + 8?

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Question 47

Which inequality represents the solution set x > 7?

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Question 48

Simplify log₅ 25.

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Question 49

Find the sum of the first 5 terms of the geometric series with first term 2 and ratio 3.

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Question 50

If matrix C = [[1, 2], [3, 4]], find 2C.

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Question 51

Find the dot product of vectors a = (1, 2) and b = (3, 4).

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Question 52

Find the equation of the line perpendicular to y = 2x + 3 passing through (1, 4).

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Question 53

Express sin^2 θ + cos^2 θ in simplest form.

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Question 54

If y = x^3, find dy/dx.

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Question 55

Evaluate the integral ∫ (3x^2) dx.

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Question 56

A car accelerates from rest with acceleration 4 m/s^2. What is its velocity after 5 seconds?

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Question 57

Find the probability of drawing a red card from a standard deck of 52 cards.

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Question 58

What is the remainder when 17 is divided by 5?

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