JAMB and WAEC Mathematics questions

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

1. Question 801· Trigonometry· WAEC

   Find the value of cos 120°.

   • A−√3/2
   • B1/2
   • C−1/2
   • D√3/2

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   Answer: C. −1/2

   Explanation and discussion

2. Question 802· 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°.

   • A20 cm²
   • B40 cm²
   • C80 cm²
   • D10 cm²

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   Answer: A. 20 cm²

   Explanation and discussion

3. Question 803· Trigonometry· JAMB

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

   • A3/4
   • B4/5
   • C5/4
   • D5/3

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   Answer: B. 4/5

   Explanation and discussion

4. Question 804· Trigonometry· JAMB

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

   • A1
   • B1/2
   • C√3/2
   • D0

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   Answer: A. 1

   Explanation and discussion

5. Question 805· 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.

   • A60 m
   • B30√3 m
   • C15 m
   • D10√3 m

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   Answer: D. 10√3 m

   Explanation and discussion

6. Question 806· Trigonometry· JAMB

   Find the value of tan 60°.

   • A√3
   • B1/√3
   • C1
   • D√3/2

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   Answer: A. √3

   Explanation and discussion

7. Question 807· Trigonometry· WAEC

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

   • A060°
   • B240°
   • C120°
   • D300°

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   Answer: B. 240°

   Explanation and discussion

8. Question 808· Trigonometry· WAEC

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

   • A12/13
   • B5/13
   • C5/12
   • D13/5

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   Answer: B. 5/13

   Explanation and discussion

9. Question 809· Trigonometry· WAEC

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

   • A150°
   • B030°
   • C210°
   • D120°

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   Answer: A. 150°

   Explanation and discussion

10. Question 810· Trigonometry· WAEC

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

    • A17/8
    • B15/17
    • C8/15
    • D8/17

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    Answer: D. 8/17

    Explanation and discussion

11. Question 811· Trigonometry· JAMB

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

    • A45°
    • B60°
    • C30°
    • D90°

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    Answer: C. 30°

    Explanation and discussion

12. Question 812· Trigonometry· JAMB

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

    • A9/17
    • B8/15
    • C17/15
    • D15/17

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    Answer: D. 15/17

    Explanation and discussion

13. Question 813· Trigonometry· JAMB

    Find the value of sin 150°.

    • A−√3/2
    • B−½
    • C√3/2
    • D½

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    Answer: D. ½

    Explanation and discussion

14. Question 814· 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?

    • A5√3 m
    • B5 m
    • C10√3 m
    • D5√2 m

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    Answer: A. 5√3 m

    Explanation and discussion

15. Question 815· Trigonometry· JAMB

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

    • A5/3
    • B4/5
    • C3/4
    • D3/5

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    Answer: D. 3/5

    Explanation and discussion

16. Question 816· Trigonometry· JAMB

    cos (90° − θ) is equal to

    • A−sin θ
    • Bcos θ
    • Ctan θ
    • Dsin θ

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    Answer: D. sin θ

    Explanation and discussion

17. Question 817· Trigonometry· WAEC

    Evaluate sin 60° × cos 30°.

    • A1/2
    • B3/4
    • C√3/2
    • D1

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    Answer: B. 3/4

    Explanation and discussion

18. Question 818· Trigonometry· WAEC

    What is the value of sin 30°?

    • A1/√2
    • B√3/2
    • C1/2
    • D√3

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    Answer: C. 1/2

    Explanation and discussion

19. Question 819· Trigonometry· WAEC

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

    • A10 km
    • B14 km
    • C2 km
    • D12 km

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    Answer: A. 10 km

    Explanation and discussion

20. Question 820· Variation· JAMB

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

    • A54
    • B24
    • C16
    • D81

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    Answer: C. 16

    Explanation and discussion