WAEC Mathematics questions

364 questions with answers and explanations. Tap an option to check yourself.

All topics Binary operations · 13 Coordinate geometry · 20 Euclidean geometry · 26 Fractions, decimals, approximations and percentages · 29 Indices, logarithms and surds · 29 Inequalities · 17 Loci · 12 Mensuration · 27 Number bases · 24 Polynomials · 29 Probability · 23 Progressions · 22 Sets · 22 Statistics · 26 Trigonometry · 26 Variation · 19

Question 321· Trigonometry· WAEC
A ladder 10 m long leans against a vertical wall and makes 60° with the level ground. How high up the wall does it reach?
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Answer: B. 5√3 m
Explanation and discussion
Question 322· Trigonometry· WAEC
A point is 30 m from the foot of a pole 30 m high. Find the angle of elevation of the top of the pole.
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Answer: D. 45°
Explanation and discussion
Question 323· Trigonometry· WAEC
If cos θ = 5/13 and θ is acute, find sin θ.
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Answer: A. 12/13
Explanation and discussion
Question 324· Trigonometry· WAEC
In triangle ABC, a = 8 cm, angle A = 30° and angle B = 90°. Find b using the sine rule.
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Answer: C. 16 cm
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Question 325· Trigonometry· WAEC
What is the value of sin 60°?
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Answer: C. √3/2
Explanation and discussion
Question 326· Trigonometry· WAEC
A ladder 10 m long reaches 8 m up a wall. How far is its foot from the wall?
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Answer: D. 6 m
Explanation and discussion
Question 327· Trigonometry· WAEC
The bearing of B from A is 135°. The bearing of A from B is
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Answer: A. 315°
Explanation and discussion
Question 328· Trigonometry· WAEC
From the top of a tower 20 m high, the angle of depression of a car on level ground is 45°. How far is the car from the foot of the tower?
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Answer: D. 20 m
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Question 329· Trigonometry· WAEC
What is the value of cos 45°?
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Answer: C. 1/√2
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Question 330· Trigonometry· WAEC
From the top of a 30 m building, the angle of depression of a car is 30°. How far is the car from the foot of the building?
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Answer: A. 30√3 m
Explanation and discussion
Question 331· Trigonometry· WAEC
If tan θ = 3/4 and θ is acute, find cos θ.
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Answer: D. 4/5
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Question 332· Trigonometry· WAEC
Find the value of tan 45°.
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Answer: D. 1
Explanation and discussion
Question 333· Trigonometry· WAEC
Which angle between 180° and 270° has a tangent equal to √3?
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Answer: C. 240°
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Question 334· Trigonometry· WAEC
A pole casts a 12 m shadow when the sun's elevation is 45°. The pole's height is
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Answer: D. 12 m
Explanation and discussion
Question 335· Trigonometry· WAEC
The bearing of B from A is 065°. Find the bearing of A from B.
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Answer: C. 245°
Explanation and discussion
Question 336· Trigonometry· WAEC
If sin x = 0.6 and x is acute, find tan x.
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Answer: D. 0.75
Explanation and discussion
Question 337· Trigonometry· WAEC
Find the value of cos 120°.
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Answer: C. −1/2
Explanation and discussion
Question 338· Trigonometry· WAEC
The bearing of B from A is 060°. Find the bearing of A from B.
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Answer: B. 240°
Explanation and discussion
Question 339· Trigonometry· WAEC
In a right-angled triangle, the side opposite angle θ is 5 cm and the hypotenuse is 13 cm. Find sin θ.
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Answer: B. 5/13
Explanation and discussion
Question 340· Trigonometry· WAEC
Convert the bearing S 30° E to a three-figure bearing.
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Answer: A. 150°
Explanation and discussion

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WAEC Mathematics questions

A ladder 10 m long leans against a vertical wall and makes 60° with the level ground. How high up the wall does it reach?

A point is 30 m from the foot of a pole 30 m high. Find the angle of elevation of the top of the pole.

If cos θ = 5/13 and θ is acute, find sin θ.

In triangle ABC, a = 8 cm, angle A = 30° and angle B = 90°. Find b using the sine rule.

What is the value of sin 60°?

A ladder 10 m long reaches 8 m up a wall. How far is its foot from the wall?

The bearing of B from A is 135°. The bearing of A from B is

From the top of a tower 20 m high, the angle of depression of a car on level ground is 45°. How far is the car from the foot of the tower?

What is the value of cos 45°?

From the top of a 30 m building, the angle of depression of a car is 30°. How far is the car from the foot of the building?

If tan θ = 3/4 and θ is acute, find cos θ.

Find the value of tan 45°.

Which angle between 180° and 270° has a tangent equal to √3?

A pole casts a 12 m shadow when the sun's elevation is 45°. The pole's height is

The bearing of B from A is 065°. Find the bearing of A from B.

If sin x = 0.6 and x is acute, find tan x.

Find the value of cos 120°.

The bearing of B from A is 060°. Find the bearing of A from B.

In a right-angled triangle, the side opposite angle θ is 5 cm and the hypotenuse is 13 cm. Find sin θ.

Convert the bearing S 30° E to a three-figure bearing.