Exam Body

Year

Subject

Paper Type

waec model questions vol1 2025 mathematics | Objective

Prepare for your exams with waec model questions vol1 questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1 View Details

A quadratic equation is given by the expression x² - \(5x + k = 0\). If the equation has equal roots, find the value of k.

A. 8.25

B. 5.5

Correct C. 6.25

D. 7.0

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2 View Details

Simplify the expression (3x² - 2x + 5) - (4x² - 3x + 2) + (x² + 7).

A. 2x + 4

B. x + 8

Correct C. x + 10

D. 2x + 5

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3 View Details

Given the points A(2, 3), B(4, 7), and C(6, y) such that the points are collinear, find the value of y.

A. 7

Correct B. 11

C. 9

D. 13

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4 View Details

In triangle ABC, angle \(A = 40\)°, angle \(B = 70\)°, and point D divides side BC in the ratio 1:2. Calculate the length of AD if \(AB = 10\) cm.

A. 6

B. 12

Correct C. 10

D. 8

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5 View Details

Solve the inequality \(3x - 5 < 2x + 4\) and represent the solution on a number line.

A. \(x < 6\)

B. \(x < 7\)

Correct C. \(x < 9\)

D. \(x < 10\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6 View Details

Solve the inequality \(3x - 5 < 2x + 4\) and determine the range of values for x. Additionally, find the integer solutions within this range.

A. \(x < 10\); integer solutions: \(x = 9\), 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, ...

B. \(x < 7\); integer solutions: \(x = 6\), 5, 4, 3, 2, 1, 0, -1, -2, -3, ...

Correct C. \(x < 9\); integer solutions: \(x = 8\), 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, ...

D. \(x < 8\); integer solutions: \(x = 7\), 6, 5, 4, 3, 2, 1, 0, -1, -2, ...

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7 View Details

In triangle ABC, angle A measures 40 degrees, and angle B measures 70 degrees. If side AB is 10 cm, calculate the length of side AC using the Law of Sines. Then, determine the area of triangle ABC.

A. AC ≈ 8.00 cm; Area ≈ 30.0 cm²

B. AC ≈ 7.50 cm; Area ≈ 28.5 cm²

Correct C. AC ≈ 6.84 cm; Area ≈ 32.2 cm²

D. AC ≈ 5.50 cm; Area ≈ 25.0 cm²

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8 View Details

A class of students took a mathematics test. The mean score was 75, and the variance was 64. If one student scored 90, what would be the new mean score if this student's score is included in the calculation?

Correct A. New mean ≈ 75.48 (assuming \(n = 30)\)

B. New mean ≈ 76.00 (assuming \(n = 30)\)

C. New mean ≈ 74.50 (assuming \(n = 30)\)

D. New mean ≈ 75.00 (assuming \(n = 30)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9 View Details

The first term of an arithmetic sequence is 5, and the common difference is 3. Find the 10th term of the sequence and the sum of the first 10 terms.

A. 10th \(term = 30\); Sum of first 10 \(terms = 180\)

B. 10th \(term = 28\); Sum of first 10 \(terms = 175\)

C. 10th \(term = 35\); Sum of first 10 \(terms = 190\)

Correct D. 10th \(term = 32\); Sum of first 10 \(terms = 185\)

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10 View Details

Simplify the expression \((3x^2 - 2x + 5) - (4x^2 + 3x - 1)\) and then factor the result completely.

A. -1(x + 5)(x - 2)

Correct B. -1(x + 6)(x - 1)

C. -1(x + 4)(x - 3)

D. -1(x + 7)(x - 1)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11 View Details

In the coordinate plane, points A(2, 3), B(6, 7), and C(x, y) form a triangle. If the area of triangle ABC is 12 square units, find the coordinates of point C given that it lies on the line segment AB.

Correct A. (4, 5)

B. (2, 2)

C. (3, 4)

D. (5, 6)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12 View Details

Solve the system of equations: \(3x + 4y = 24\) and \(2x - y = 3\). Find the values of x and y.

Correct A. \(x = \(36/11\)\), \(y = \(39/11\)\)

B. \(x = \(30/11\)\), \(y = \(27/11\)\)

C. \(x = \(24/11\)\), \(y = \(21/11\)\)

D. \(x = \(12/11\)\), \(y = \(15/11\)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13 View Details

If y varies directly as x and inversely as the square of z, and given that \(y = 8\) when \(x = 4\) and \(z = 2\), find the value of y when \(x = 10\) and \(z = 5\).

A. \(y = \(20/5\)\)

B. \(y = 4\)

Correct C. \(y = \(16/5\)\)

D. \(y = \(32/5\)\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14 View Details

Solve the inequality: \(5x - 3 < 2x + 6\) and express the solution in interval notation.

Correct A. (-∞, 3)

B. (-∞, 4)

C. (-∞, 5)

D. (-∞, 2)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15 View Details

A line passes through the points (1, 2) and (3, 6). Find the equation of the line in slope-intercept form.

A. \(y = 3x + 1\)

B. \(y = x + 4\)

C. \(y = 2x - 1\)

Correct D. \(y = 2x + 2\)

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16 View Details

A cylindrical water tank has a radius of 3 meters and a height of 5 meters. If water is being poured into the tank at a rate of 2 cubic meters per hour, how long will it take to fill the tank completely?

A. 60.25 hours

B. 75.00 hours

Correct C. 70.69 hours

D. 80.50 hours

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17 View Details

The graph of a linear equation intersects the y-axis at (0, 4) and has a slope of -2. What is the equation of the line in slope-intercept form?

A. y = -2x - 4

Correct B. y = -2x + 4

C. y = -2x + 2

D. \(y = 2x + 4\)

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18 View Details

In a right triangle, one angle measures 30 degrees and the hypotenuse is 10 cm. Calculate the length of the opposite side to the 30-degree angle.

A. 6 cm

B. 7 cm

C. 4 cm

Correct D. 5 cm

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19 View Details

The first term of an arithmetic sequence is 5 and the common difference is 3. What is the 10th term of the sequence?

Correct A. 32

B. 35

C. 29

D. 38

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20 View Details

Solve the quadratic equation x² - \(5x + 6 = 0\) using the factorization method.

A. \(x = 4\) or \(x = 5\)

B. \(x = 1\) or \(x = 6\)

Correct C. \(x = 2\) or \(x = 3\)

D. \(x = 0\) or \(x = 7\)

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21 View Details

A cylindrical tank has a radius of 3 meters and a height of 5 meters. If water is filled to a height of 4 meters in the tank, calculate the volume of the water in the tank. Then, if the tank is filled to the brim, what is the additional volume of water needed?

A. 6π

B. 15π

C. 12π

Correct D. 9π

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22 View Details

Two vectors A and B are given as \(A = 3i + 4j\) and \(B = 2i - j\). Calculate the magnitude of the resultant vector \(R = A + B\) and find the angle θ that R makes with the positive x-axis.

Correct A. \(√34\), \(arctan(3/5)\)

B. \(√29\), \(arctan(4/3)\)

C. \(√38\), \(arctan(5/2)\)

D. \(√25\), \(arctan(2/3)\)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23 View Details

Given the points A(2, 3), B(4, 7), and C(x, y) such that the area of triangle ABC is 10 square units, find the coordinates of point C if it lies on the line \(y = 2x - 1\).

A. Coordinates of C cannot be determined.

B. Coordinates of C are (3, 5).

C. Coordinates of C are (1, 1).

Correct D. Coordinates of C depend on solving the area equation.

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24 View Details

In a survey of students, 60% of them like Mathematics, 45% like Physics, and 25% like both subjects. If 200 students were surveyed, how many students like only Mathematics?

A. 60

Correct B. 70

C. 80

D. 50

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25 View Details

The graph of the function f(x) = x² - 4x + 3 is shown. Determine the coordinates of the vertex of the parabola and the x-intercepts of the graph.

Correct A. (2, -1), (1, 0) and (3, 0)

B. (2, 1), (0, 1) and (4, 1)

C. (2, 0), (0, 0) and (4, 0)

D. (2, -2), (1, -1) and (3, -1)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support