Lesson G20

G20 know the formulae for Quiz: Pearson Edexcel Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson G20, know the formulae for: 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. In a right-angled triangle, where is the hypotenuse located?

    • Between acute angles
    • Opposite right angle
    • Shortest side
    • Adjacent to angle

  2. Which equation is Pythagoras' theorem for shorter sides a and b with hypotenuse c?

    • a² − b² = c²
    • a² + b² = c²
    • a² + b² = 2c
    • a + b = c

  3. In a right-angled triangle, sin θ is equal to which ratio?

    • adjacent ÷ hypotenuse
    • hypotenuse ÷ opposite
    • opposite ÷ hypotenuse
    • opposite ÷ adjacent

  4. Which ratio is equal to tan θ?

    • opposite ÷ hypotenuse
    • hypotenuse ÷ adjacent
    • adjacent ÷ opposite
    • opposite ÷ adjacent

  5. A right-angled triangle has hypotenuse 13 cm and one shorter side 5 cm. What is the other shorter side?

    • 12 cm
    • 11 cm
    • 18 cm
    • 8 cm

  6. A right-angled triangle has shorter sides 6 cm and 8 cm. What is the hypotenuse?

    • 10 cm
    • √14 cm
    • 48 cm
    • 14 cm

  7. A 5 m ladder leans against a wall with its foot 3 m from the wall. How high up the wall does it reach?

    • √34 m
    • 2 m
    • 4 m
    • 8 m

  8. In a right-angled triangle, the side opposite angle θ is 7 cm and the hypotenuse is 10 cm. What is sin θ?

    • 0.51
    • 0.3
    • 1.43
    • 0.7

  9. In a right-angled triangle, the side adjacent to θ is 8 cm and the side opposite θ is 6 cm. What is tan θ?

    • 0.75
    • 1.4
    • 1.33
    • 0.6

  10. A right-angled triangle has angle θ = 35° with adjacent side 12 cm. What is the opposite side? (tan 35° ≈ 0.700)

    • 9.8 cm
    • 17.1 cm
    • 8.4 cm
    • 6.9 cm

  11. In a right-angled triangle, the opposite side is 5 cm and the hypotenuse is 10 cm. What is the angle θ?

    • 60°
    • 30°
    • 45°
    • 26.6°

  12. The hypotenuse is 20 cm and the angle θ = 40° sits opposite the side being found. What is that side? (sin 40° ≈ 0.643)

    • 12.9 cm
    • 7.7 cm
    • 25.6 cm
    • 15.3 cm

  13. From a point 50 m from the base of a tower, the angle of elevation of the top is 30°. How high is the tower? (tan 30° ≈ 0.577)

    • 28.9 m
    • 43.3 m
    • 86.6 m
    • 25.0 m

  14. A rectangle is 9 cm by 12 cm. What is the length of its diagonal?

    • 15 cm
    • 108 cm
    • 21 cm
    • √117 cm

  15. Which ratio should be used when the known sides are the adjacent side and the hypotenuse?

    • cos
    • tan
    • Pythagoras' theorem only
    • sin

  16. A right-angled triangle has hypotenuse 17 cm and a shorter side 8 cm opposite θ. What is θ to 1 decimal place?

    • 62.0°
    • 45.0°
    • 32.0°
    • 28.1°

  17. A right-angled triangle has an angle of 25° opposite a side of 6 cm. What is the hypotenuse to 1 decimal place? (sin 25° ≈ 0.4226)

    • 2.5 cm
    • 5.4 cm
    • 6.5 cm
    • 14.2 cm

  18. A right-angled triangle has shorter sides 5 cm and 12 cm. What is its perimeter?

    • 60 cm
    • 30 cm
    • 17 cm
    • 25 cm

  19. A cuboid is 3 cm by 4 cm by 12 cm. What is the length of its space diagonal?

    • √153 cm
    • 19 cm
    • 13 cm
    • 12 cm

  20. In a right-angled triangle, the adjacent side to θ is 6 cm and the hypotenuse is 10 cm. What is sin θ?

    • 1.25
    • 0.6
    • 0.8
    • 0.75

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