Lesson 1.05a

1.05a Trigonometric functions and triangles Quiz: OCR Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson 1.05a, Trigonometric functions and triangles: 20 multiple choice questions for the OCR Maths (H240), Unit 5: Trigonometry, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. In a right-angled triangle, what is cos theta?

    • adjacent / hypotenuse
    • hypotenuse / adjacent
    • opposite / hypotenuse
    • opposite / adjacent

  2. How many radians is 90 degrees?

    • pi/2
    • pi/3
    • pi/4
    • 2pi

  3. An arc of a circle with radius 5 subtends an angle of 0.6 radians at the centre. What is its arc length?

    • 0.12
    • 3
    • 30
    • 5.6

  4. A sector has radius 4 and angle pi/2 radians. What is its area?

    • 16 pi
    • 8 pi
    • 4 pi
    • 2 pi

  5. In a triangle, A = 30 degrees, a = 4 and B = 60 degrees. What is b?

    • 4 sqrt(3)
    • 8
    • 4
    • 2 sqrt(3)

  6. In a triangle with a = 3, b = 4 and C = 60 degrees, what is c?

    • 5
    • sqrt(13)
    • 7
    • sqrt(37)

  7. What is the area of a triangle with a = 6, b = 10 and C = 30 degrees?

    • 7.5 sqrt(3)
    • 30
    • 60
    • 15

  8. With a = 4, b = 6 and A = 40 degrees, how many triangles can be formed?

    • Infinitely many
    • None
    • Two
    • One

  9. What is sin(180 degrees - theta) equal to?

    • sin theta
    • -cos theta
    • -sin theta
    • cos theta

  10. What is the exact value of cos 60 degrees?

    • 0
    • 1/2
    • 1
    • sqrt(3)/2

  11. A triangle has sides 5, 12 and 13. What is its area?

    • 30
    • 15
    • 60
    • 65

  12. A triangle has sides a = 7, b = 8 and c = 9. What is cos A?

    • 5/6
    • 2/3
    • 3/4
    • 1/3

  13. A right triangle has angles 30, 60 and 90 degrees and hypotenuse 2. What is the shorter side?

    • 2
    • sqrt(3)
    • 1
    • sqrt(2)

  14. If theta is acute and cos theta = 3/5, what is sin theta?

    • 5/4
    • 2/5
    • 3/4
    • 4/5

  15. In a triangle with a = 6, A = 45 degrees and B = 60 degrees, what is b?

    • 3 sqrt(6)
    • 4 sqrt(3)
    • 6 sqrt(2)
    • sqrt(6)

  16. What is 150 degrees in radians?

    • 5 pi/6
    • 2 pi/3
    • 3 pi/4
    • 7 pi/6

  17. A circle of radius 5 has a chord subtending 2 radians at the centre. What is the chord length?

    • 5 sin(2)
    • 10 cos(1)
    • 2 sin(5)
    • 10 sin(1)

  18. In a triangle with side lengths a = 5, b = 8, and c = 7, which angle is largest?

    • Angle A
    • Angle B
    • All are equal
    • Angle C

  19. A triangle has sides a = 5 and b = 5 with included angle C = 120 degrees. What is its area?

    • 25 sqrt(3)/4
    • 25 sqrt(2)/4
    • 25/4
    • 5 sqrt(3)/2

  20. A ladder of length 10 m makes an angle of 70 degrees with the ground. How high does it reach?

    • 10 tan(70 degrees), about 27.5 m
    • 10 sin(70 degrees), about 9.40 m
    • 7 m
    • 10 cos(70 degrees), about 3.42 m

All OCR Maths quizzes