Lesson G22

G22 know and apply the sine rule a = b = c , sin A sin B sin C 2 2 2 and cosine rule a = b... Quiz: Pearson Edexcel Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson G22, know and apply the sine rule a = b = c , sin A sin B sin C 2 2 2 and cosine rule a = b...: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which statement is the sine rule?

    • a / sin A = b / sin B = c / sin C
    • a² = b² + c² + 2bc cos A
    • a / A = b / B = c / C
    • a / cos A = b / cos B = c / cos C

  2. Which is the cosine rule for side a?

    • a² = b² − c² − 2bc cos A
    • a = b + c − 2bc cos A
    • a² = b² + c² + 2bc cos A
    • a² = b² + c² − 2bc cos A

  3. What trigonometric ratio is used with the sine rule when finding an unknown angle?

    • Inverse cosine
    • Cosine
    • Sine
    • Inverse sine

  4. Which triangle condition requires using the cosine rule instead of the sine rule?

    • Two angles and side
    • Three known sides
    • Equilateral shape
    • Right angle

  5. In triangle ABC, a = 7 cm, A = 30° and B = 50°. What is b to 1 decimal place?

    • 11.5 cm
    • 10.7 cm
    • 6.5 cm
    • 5.4 cm

  6. In triangle ABC, a = 8 cm, b = 5 cm and A = 70°. What is angle B to 1 decimal place?

    • 54.0°
    • 36.0°
    • 110.0°
    • 70.0°

  7. Two sides of 5 cm and 7 cm enclose an angle of 60°. What is the third side to 1 decimal place?

    • 8.6 cm
    • 6.2 cm
    • 5.5 cm
    • 12.0 cm

  8. Triangle sides are 4 cm, 5 cm and 7 cm. What is the angle opposite the 7 cm side to 1 decimal place?

    • 101.5°
    • 78.5°
    • 11.5°
    • 96.4°

  9. A triangle has sides 3 cm, 4 cm and 5 cm. What is the angle opposite the 5 cm side?

    • 90°
    • 45°
    • 60°
    • 120°

  10. In triangle ABC, A = 40°, B = 65° and a = 12 cm. What is c to 1 decimal place?

    • 9.7 cm
    • 20.2 cm
    • 18.0 cm
    • 11.6 cm

  11. In a triangle, two angles are 50° and 60°, and the side opposite 50° is 9 cm. What is the side opposite 60°?

    • 10.2 cm
    • 11.7 cm
    • 8.4 cm
    • 7.8 cm

  12. Triangle sides are a = 6 cm, b = 5 cm and c = 4 cm. What is angle A to 1 decimal place?

    • 82.8°
    • 97.2°
    • 7.2°
    • 62.8°

  13. In the cosine rule, what does the term become if angle A is 90 degrees?

    • Zero
    • One
    • Minus one
    • Infinity

  14. Two sides of 8 cm and 11 cm enclose an angle of 100°. What is the third side to 1 decimal place?

    • 12.9 cm
    • 18.1 cm
    • 19.0 cm
    • 14.7 cm

  15. Which is the correct rearrangement of the sine rule to find angle C?

    • sin C = c × sin A ÷ a
    • sin C = a × sin A ÷ c
    • sin C = c ÷ (a × sin A)
    • sin C = c × cos A ÷ a

  16. In a triangle, side a = 10 cm with angle A = 30°, and side b = 14 cm. What is sin B?

    • 0.35
    • 0.43
    • 0.7
    • 1.4

  17. Triangle sides are AB = 6 cm, BC = 7 cm and CA = 9 cm. What is angle B to 1 decimal place?

    • 78.2°
    • 92.7°
    • 2.7°
    • 87.3°

  18. A triangle has sides 2 cm, 3 cm and 4 cm. What is the angle opposite the 4 cm side to 1 decimal place?

    • 90.0°
    • 104.5°
    • 75.5°
    • 60.0°

  19. A triangle has sides 5 cm, 6 cm and 7 cm. Which rule finds angle A most directly?

    • Cosine rule
    • Pythagoras theorem
    • Sine rule
    • Trigonometric ratios

  20. In a triangle, the side of 13 cm is opposite 67° and another side of 8 cm is given. What is the acute angle opposite the 8 cm side to 1 decimal place?

    • 45.0°
    • 34.5°
    • 23.0°
    • 67.0°

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