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 341· Trigonometry· WAEC
If tan θ = 8/15 and θ is acute, find sin θ.
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Answer: D. 8/17
Explanation and discussion
Question 342· Trigonometry· WAEC
A ladder 10 m long leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach?
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Answer: A. 5√3 m
Explanation and discussion
Question 343· Trigonometry· WAEC
Evaluate sin 60° × cos 30°.
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Answer: B. 3/4
Explanation and discussion
Question 344· Trigonometry· WAEC
What is the value of sin 30°?
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Answer: C. 1/2
Explanation and discussion
Question 345· Trigonometry· WAEC
A boy walks 8 km due north and then 6 km due east. How far is he from his starting point?
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Answer: A. 10 km
Explanation and discussion
Question 346· Variation· WAEC
The cost of feeding students varies directly as their number. It costs ₦45,000 to feed 30 students. Find the cost for 42 students.
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Answer: C. ₦63,000
Explanation and discussion
Question 347· Variation· WAEC
F varies inversely as the square of d, and F = 20 when d = 3. Find F when d = 6.
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Answer: D. 5
Explanation and discussion
Question 348· Variation· WAEC
If y varies inversely as x, what happens to y when x is doubled?
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Answer: D. y is halved
Explanation and discussion
Question 349· Variation· WAEC
y varies inversely as the square of x, and y = 4 when x = 3. Find y when x = 6.
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Answer: A. 1
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Question 350· Variation· WAEC
T varies inversely as the square root of L. If T = 6 when L = 16, find T when L = 36.
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Answer: C. 4
Explanation and discussion
Question 351· Variation· WAEC
P varies inversely as Q. If P = 6 when Q = 4, find P when Q = 8.
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Answer: A. 3
Explanation and discussion
Question 352· Variation· WAEC
If y ∝ x and y = 15 when x = 5, what is y when x = 8?
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Answer: D. 24
Explanation and discussion
Question 353· Variation· WAEC
y varies directly as x², and y = 18 when x = 3. Find y when x = 4.
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Answer: B. 32
Explanation and discussion
Question 354· Variation· WAEC
y varies as the square of x. If y = 18 when x = 3, find y when x = 5.
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Answer: D. 50
Explanation and discussion
Question 355· Variation· WAEC
A varies as the square of r, and A = 50 when r = 5. Find A when r = 8.
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Answer: A. 128
Explanation and discussion
Question 356· Variation· WAEC
y varies jointly as x and the square of z, and y = 48 when x = 3 and z = 2. Find y when x = 2 and z = 3.
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Answer: D. 72
Explanation and discussion
Question 357· Variation· WAEC
M is inversely proportional to N. When N = 10, M = 3. Find M when N = 5.
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Answer: A. 6
Explanation and discussion
Question 358· Variation· WAEC
z varies jointly as x and y, and z = 24 when x = 2 and y = 3. Find z when x = 4 and y = 5.
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Answer: A. 80
Explanation and discussion
Question 359· Variation· WAEC
T varies directly as the square root of L, and T = 6 when L = 9. Find T when L = 25.
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Answer: B. 10
Explanation and discussion
Question 360· Variation· WAEC
y varies directly as x. If y = 12 when x = 3, find y when x = 5.
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Answer: B. 20
Explanation and discussion

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WAEC Mathematics questions

If tan θ = 8/15 and θ is acute, find sin θ.

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

Evaluate sin 60° × cos 30°.

What is the value of sin 30°?

A boy walks 8 km due north and then 6 km due east. How far is he from his starting point?

The cost of feeding students varies directly as their number. It costs ₦45,000 to feed 30 students. Find the cost for 42 students.

F varies inversely as the square of d, and F = 20 when d = 3. Find F when d = 6.

If y varies inversely as x, what happens to y when x is doubled?

y varies inversely as the square of x, and y = 4 when x = 3. Find y when x = 6.

T varies inversely as the square root of L. If T = 6 when L = 16, find T when L = 36.

P varies inversely as Q. If P = 6 when Q = 4, find P when Q = 8.

If y ∝ x and y = 15 when x = 5, what is y when x = 8?

y varies directly as x², and y = 18 when x = 3. Find y when x = 4.

y varies as the square of x. If y = 18 when x = 3, find y when x = 5.

A varies as the square of r, and A = 50 when r = 5. Find A when r = 8.

y varies jointly as x and the square of z, and y = 48 when x = 3 and z = 2. Find y when x = 2 and z = 3.

M is inversely proportional to N. When N = 10, M = 3. Find M when N = 5.

z varies jointly as x and y, and z = 24 when x = 2 and y = 3. Find z when x = 4 and y = 5.

T varies directly as the square root of L, and T = 6 when L = 9. Find T when L = 25.

y varies directly as x. If y = 12 when x = 3, find y when x = 5.