JAMB Mathematics questions

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

All JAMB WAEC

Question 461· Trigonometry· JAMB
From a point 20 m from the foot of a tree, the angle of elevation of its top is 45°. Find the height of the tree.
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Answer: D. 20 m
Explanation and discussion
Question 462· Trigonometry· JAMB
Without using tables, evaluate cos 300°.
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Answer: B. 1/2
Explanation and discussion
Question 463· Trigonometry· JAMB
From the top of a tower 30 m high, the angle of depression of a car is 30°. How far is the car from the foot of the tower?
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Answer: D. 30√3 m
Explanation and discussion
Question 464· Trigonometry· JAMB
If sin θ = cos θ and θ is acute, find θ.
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Answer: C. 45°
Explanation and discussion
Question 465· Trigonometry· JAMB
Find the area of a triangle in which two sides are 8 cm and 10 cm and the angle between them is 30°.
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Answer: A. 20 cm²
Explanation and discussion
Question 466· Trigonometry· JAMB
If sin θ = 3/5 and θ is acute, find cos θ.
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Answer: B. 4/5
Explanation and discussion
Question 467· Trigonometry· JAMB
Evaluate sin 60° cos 30° + cos 60° sin 30°.
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Answer: A. 1
Explanation and discussion
Question 468· Trigonometry· JAMB
From a point 30 m from the foot of a tree, the angle of elevation of the top is 30°. Find the height of the tree.
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Answer: D. 10√3 m
Explanation and discussion
Question 469· Trigonometry· JAMB
Find the value of tan 60°.
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Answer: A. √3
Explanation and discussion
Question 470· Trigonometry· JAMB
If tan θ = 1/√3 and θ is acute, find θ.
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Answer: C. 30°
Explanation and discussion
Question 471· Trigonometry· JAMB
If sin θ = 8/17 and θ is acute, find cos θ.
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Answer: D. 15/17
Explanation and discussion
Question 472· Trigonometry· JAMB
Find the value of sin 150°.
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Answer: D. ½
Explanation and discussion
Question 473· Trigonometry· JAMB
If tan θ = 3/4 and θ is acute, find sin θ.
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Answer: D. 3/5
Explanation and discussion
Question 474· Trigonometry· JAMB
cos (90° − θ) is equal to
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Answer: D. sin θ
Explanation and discussion
Question 475· Variation· JAMB
F varies inversely as the square of d. If F = 36 when d = 2, find F when d = 3.
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Answer: C. 16
Explanation and discussion
Question 476· Variation· JAMB
y varies inversely as x. If y = 6 when x = 4, find y when x = 8.
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Answer: D. 3
Explanation and discussion
Question 477· Variation· JAMB
The cost C of printing n copies is partly constant and partly varies as n. C = ₦500 when n = 10 and C = ₦800 when n = 20. Find C when n = 30.
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Answer: A. ₦1,100
Explanation and discussion
Question 478· Variation· JAMB
w varies inversely as the square of v. If v is doubled, w becomes
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Answer: C. one-quarter of its value
Explanation and discussion
Question 479· Variation· JAMB
y varies as the cube of x. If x is doubled, y is multiplied by
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Answer: A. 8
Explanation and discussion
Question 480· Variation· JAMB
p varies inversely as the square root of q, and p = 10 when q = 16. Find p when q = 25.
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Answer: C. 8
Explanation and discussion

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JAMB Mathematics questions

From a point 20 m from the foot of a tree, the angle of elevation of its top is 45°. Find the height of the tree.

Without using tables, evaluate cos 300°.

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

If sin θ = cos θ and θ is acute, find θ.

Find the area of a triangle in which two sides are 8 cm and 10 cm and the angle between them is 30°.

If sin θ = 3/5 and θ is acute, find cos θ.

Evaluate sin 60° cos 30° + cos 60° sin 30°.

From a point 30 m from the foot of a tree, the angle of elevation of the top is 30°. Find the height of the tree.

Find the value of tan 60°.

If tan θ = 1/√3 and θ is acute, find θ.

If sin θ = 8/17 and θ is acute, find cos θ.

Find the value of sin 150°.

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

cos (90° − θ) is equal to

F varies inversely as the square of d. If F = 36 when d = 2, find F when d = 3.

y varies inversely as x. If y = 6 when x = 4, find y when x = 8.

The cost C of printing n copies is partly constant and partly varies as n. C = ₦500 when n = 10 and C = ₦800 when n = 20. Find C when n = 30.

w varies inversely as the square of v. If v is doubled, w becomes

y varies as the cube of x. If x is doubled, y is multiplied by

p varies inversely as the square root of q, and p = 10 when q = 16. Find p when q = 25.