WAEC Mathematics Past Questions and Answers PDF

WAEC mathematics preparation is crucial for students aiming to excel in their exams. To ensure success, practicing past questions is essential. This guide provides detailed solutions to help students understand concepts and improve performance.

Algebra Questions and Answers

Question: Simplify 5x + 3x – 2x.

Answer: 6x.

Question: Solve for x: 3x – 7 = 2.

Answer: x = 3.

Question: Expand (x + 4)(x – 3).

Answer: x² + x – 12.

Question: Factorize x² + 5x + 6.

Answer: (x + 2)(x + 3).

Question: Solve for x: 2(x – 1) = 8.

Answer: x = 5.

Question: Simplify 2a + 3a – a.

Answer: 4a.

Question: If x = 2, find the value of 3x² – 4x + 1.

Answer: 5.

Question: Solve for y: y/3 = 6.

Answer: y = 18.

Question: Factorize x² – 16.

Answer: (x – 4)(x + 4).

Question: Simplify 2(x + 3) – x.

Answer: x + 6.

Question: Solve for x: 4x + 3 = 15.

Answer: x = 3.

Question: Simplify 3(x – 2) + 2x.

Answer: 5x – 6.

Question: If y = 3, evaluate y² + 2y – 5.

Answer: 10.

Question: Expand (2x + 1)(x – 3).

Answer: 2x² – 5x – 3.

Question: Solve for x: x/2 + 5 = 7.

Answer: x = 4.

Question: Factorize x² + 6x + 9.

Answer: (x + 3)².

Question: Solve for x: 5x – 9 = 16.

Answer: x = 5.

Question: Simplify 4(x – 1) + 2x.

Answer: 6x – 4.

Question: Expand (x + 5)(x – 2).

Answer: x² + 3x – 10.

Geometry Questions and Answers

Question: Find the area of a rectangle with length 5 cm and width 3 cm.

Answer: 15 cm².

Question: Calculate the perimeter of a square with side 4 cm.

Answer: 16 cm.

Question: A triangle has base 6 cm and height 4 cm. Find its area.

Answer: 12 cm².

Question: Find the circumference of a circle with radius 7 cm (π = 22/7).

Answer: 44 cm.

Question: Calculate the area of a circle with radius 3 cm (π = 3.14).

Answer: 28.26 cm².

Question: A parallelogram has base 8 cm and height 5 cm. Find its area.

Answer: 40 cm².

Question: The sum of the angles in a triangle is how many degrees?

Answer: 180 degrees.

Question: Find the volume of a cube with side length 3 cm.

Answer: 27 cm³.

Question: A rectangle has a perimeter of 20 cm. If its length is 6 cm, find its width.

Answer: 4 cm.

Question: Calculate the area of a trapezium with bases 10 cm and 6 cm, and height 4 cm.

Answer: 32 cm².

Question: A cylinder has a radius of 3 cm and height of 5 cm. Find its volume (π = 3.14).

Answer: 141.3 cm³.

Question: The diagonal of a square is 10 cm. Find its area.

Answer: 50 cm².

Question: Find the height of a triangle with area 30 cm² and base 10 cm.

Answer: 6 cm.

Question: Calculate the surface area of a cube with side 4 cm.

Answer: 96 cm².

Question: A sector has a radius of 7 cm and angle 90°. Find its area (π = 22/7).

Answer: 38.5 cm².

Question: The base of a parallelogram is 12 cm, and its area is 48 cm². Find the height.

Answer: 4 cm.

Question: A prism has a base area of 20 cm² and height of 10 cm. Find its volume.

Answer: 200 cm³.

Question: The radius of a sphere is 6 cm. Find its volume (π = 22/7).

Answer: 904.32 cm³.

Question: A cone has a base radius of 3 cm and height 4 cm. Find its volume (π = 22/7).

Answer: 37.68 cm³.

Trigonometry Questions and Answers

Question: Find sin 30°.

Answer: 0.5.

Question: Calculate cos 60°.

Answer: 0.5.

Question: If tan θ = 1, find θ.

Answer: 45°.

Question: Evaluate sin 90°.

Answer: 1.

Question: Find cos 0°.

Answer: 1.

Question: Solve for x: sin x = 0.5, 0° ≤ x ≤ 90°.

Answer: x = 30°.

Question: If sin θ = 0.6, find cos θ (θ is acute).

Answer: 0.8.

Question: Find tan 45°.

Answer: 1.

Question: Calculate sin²30° + cos²30°.

Answer: 1.

Question: If cos θ = 0.8, find sin θ (θ is acute).

Answer: 0.6.

Question: Solve for x: tan x = √3, 0° ≤ x ≤ 90°.

Answer: x = 60°.

Question: Evaluate sin 60°.

Answer: √3/2.

Question: Find cos 45°.

Answer: √2/2.

Question: Calculate sin 0°.

Answer: 0.

Question: If sin θ = 3/5, find cos θ (θ is acute).

Answer: 4/5.

Question: Solve for x: cos x = 0.5, 0° ≤ x ≤ 90°.

Answer: x = 60°.

Question: Evaluate tan 0°.

Answer: 0.

Question: If tan θ = 4/3, find sin θ (θ is acute).

Answer: 4/5.

Question: Find cos²45°.

Answer: 0.5.

WAEC mathematics requires consistent practice and understanding of key concepts. By solving past questions, students can build confidence and improve performance, making exam success achievable.