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waec model questions vol2 2026 mathematics | Objective

Are you preparing for waec model questions vol2 exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2026 mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

In triangle ABC, angle A measures 40° and angle B measures 70°. What is the measure of angle C?

A. 70°

Correct B. 80°

C. 90°

D. 100°

Correct Answer: B

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Question 2

If set A = {2, 4, 6, 8} and set B = {4, 5, 6}, what is A ∩ B?

Correct A. {4, 6}

B. {2, 8}

C. {4, 5}

D. {2, 4, 6, 8}

Correct Answer: A

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Question 3

A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume? (Use π = 3.14)

Correct A. 141.3 cm³

B. 47.1 cm³

C. 94.2 cm³

D. 15.7 cm³

Correct Answer: A

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Question 4

If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {1, 2, 3}, what is the complement of set A?

Correct A. {4, 5, 6}

B. {1, 2}

C. {3, 4, 5}

D. {2, 3, 4}

Correct Answer: A

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Question 5

In a survey, 60 students like Mathematics, 45 like Science, and 25 like both. How many students like either Mathematics or Science?

Correct A. 80

B. 70

C. 30

D. 100

Correct Answer: A

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Question 6

If vector \( extbf{a} = 3\textbf{i} + 4\textbf{j} \) and vector \( extbf{b} = -2\textbf{i} + 5\textbf{j} \), what is the magnitude of the vector \( extbf{a} + extbf{b} \)?

A. 5

B. 7

Correct C. 8

D. 10

Correct Answer: C

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Question 7

Solve the equation \( 2x + 3 = 11 \). What is the value of \( x \)?

Correct A. 2

B. 3

C. 4

D. 5

Correct Answer: A

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Question 8

Factorize the quadratic expression \( x^2 - 5x + 6 \).

Correct A. (x - 2)(x - 3)

B. (x + 2)(x + 3)

C. (x - 1)(x - 6)

D. (x + 1)(x + 6)

Correct Answer: A

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Question 9

In triangle ABC, if angle A = 30°, angle B = 60°, and side a = 10 cm, what is the length of side b using the sine rule?

Correct A. 8.66 cm

B. 7.5 cm

C. 5 cm

D. 10 cm

Correct Answer: A

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Question 10

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

Correct A. 720°

B. 540°

C. 360°

D. 180°

Correct Answer: A

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Question 11

Solve the equation 3x - 7 = 2x + 5.

Correct A. 12

B. 5

C. 3

D. 2

Correct Answer: A

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Question 12

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Correct A. 45\pi \text{ cm}^3

B. 30\pi \text{ cm}^3

C. 15\pi \text{ cm}^3

D. 60\pi \text{ cm}^3

Correct Answer: A

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Question 13

Find the 10th term of the arithmetic progression where the first term is 2 and the common difference is 3.

Correct A. 29

B. 32

C. 35

D. 38

Correct Answer: A

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Question 14

Simplify the expression: \frac{4x^3}{2x}.

Correct A. 2x^2

B. 2x^3

C. 2x

D. 4x^2

Correct Answer: A

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Question 15

Given the following data set: 4, 8, 6, 5, 3, 9, find the median.

A. 5

Correct B. 6

C. 4.5

D. 7

Correct Answer: B

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Question 16

What is the decimal equivalent of the binary number 101101?

Correct A. 45

B. 23

C. 27

D. 51

Correct Answer: A

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Question 17

A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume? (Use π = 3.14)

Correct A. 141.3 cm³

B. 94.2 cm³

C. 47.1 cm³

D. 78.5 cm³

Correct Answer: A

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Question 18

In an arithmetic progression, the first term is 5 and the common difference is 3. What is the 10th term?

Correct A. 32

B. 30

C. 28

D. 25

Correct Answer: A

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Question 19

A bag contains 3 red, 2 blue, and 5 green balls. What is the probability of randomly selecting a blue ball?

Correct A. 1/5

B. 1/10

C. 1/4

D. 1/2

Correct Answer: A

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Question 20

In triangle ABC, angle A is 40°, angle B is 70°. What is angle C?

A. 70°

Correct B. 60°

C. 80°

D. 50°

Correct Answer: B

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Question 21

A cylinder has a radius of 4 cm and a height of 10 cm. What is the total surface area of the cylinder?

Correct A. 88\pi \text{ cm}^2

B. 80\pi \text{ cm}^2

C. 100\pi \text{ cm}^2

D. 72\pi \text{ cm}^2

Correct Answer: A

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Question 22

In triangle ABC, angle A is 30 degrees and side a is 10 cm. If side b is opposite angle B, what is the length of side b using the sine rule?

A. 5\text{ cm}

Correct B. 8.66\text{ cm}

C. 10\text{ cm}

D. 7.5\text{ cm}

Correct Answer: B

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Question 23

What is the midpoint of the line segment joining the points (2, 3) and (4, 7)?

Correct A. (3, 5)

B. (4, 5)

C. (5, 3)

D. (2, 7)

Correct Answer: A

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Question 24

A tower is 50 meters high. From a point 100 meters away from the base of the tower, what is the angle of elevation to the top of the tower?

Correct A. 26.57^\circ

B. 30^\circ

C. 45^\circ

D. 36.87^\circ

Correct Answer: A

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Question 25

Solve the equation 2x^2 - 8x + 6 = 0 using the quadratic formula.

Correct A. 3, 1

B. 2, 3

C. 1, 4

D. 2, 1

Correct Answer: A

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