Lesson T4.1.1

T4.1.1 Area of triangles, parallelograms and trapezia Quiz: KS3 Maths, Unit 4

20 questions

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Lesson T4.1.1, Area of triangles, parallelograms and trapezia: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. A triangle has a base of 8 cm and a height of 5 cm. What is its area?

    • 20 cm²
    • 13 cm²
    • 10 cm²
    • 40 cm²
  2. A parallelogram has a base of 6 cm and a perpendicular height of 4 cm. What is its area?

    • 20 cm²
    • 10 cm²
    • 24 cm²
    • 12 cm²
  3. A trapezium has parallel sides of 5 cm and 9 cm and a height of 4 cm. What is its area?

    • 18 cm²
    • 14 cm²
    • 28 cm²
    • 56 cm²
  4. Which formula gives the area of a triangle?

    • ½ × (a + b) × h
    • base + height
    • base × height
    • ½ × base × height
  5. Which formula gives the area of a trapezium with parallel sides a and b and height h?

    • ½ × (a + b) × h
    • (a + b) × h
    • a × b × h
    • ½ × a × b × h
  6. A parallelogram has a base of 10 cm and a slanted side of 6 cm. Its perpendicular height is 4 cm. What is its area?

    • 40 cm²
    • 60 cm²
    • 20 cm²
    • 32 cm²
  7. A triangle has a base of 7 cm and a height of 3 cm. What is its area?

    • 7 cm²
    • 10.5 cm²
    • 5 cm²
    • 21 cm²
  8. A triangular sail has a base of 4 m and a height of 6 m. What is its area?

    • 12 m²
    • 6 m²
    • 10 m²
    • 24 m²
  9. A triangle has an area of 30 cm² and a base of 12 cm. What is its height?

    • 5 cm
    • 60 cm
    • 2.5 cm
    • 15 cm
  10. A parallelogram has an area of 48 cm² and a base of 8 cm. What is its height?

    • 384 cm
    • 12 cm
    • 6 cm
    • 40 cm
  11. A trapezium has an area of 40 cm², parallel sides of 6 cm and 4 cm, and a height of h cm. What is h?

    • 8 cm
    • 5 cm
    • 10 cm
    • 20 cm
  12. A triangle has vertices at (0, 0), (6, 0) and (2, 4). What is its area?

    • 10 square units
    • 24 square units
    • 12 square units
    • 6 square units
  13. A triangle has a base of 50 mm and a height of 40 mm. What is its area in cm²?

    • 1000 cm²
    • 10 cm²
    • 100 cm²
    • 20 cm²
  14. Why is the area of a triangle half of a rectangle with the same base and height?

    • A triangle has half the number of sides of a rectangle, so half the area
    • A triangle is half of a rectangle with the same base and height
    • A triangle always contains two right angles, which halves the total
    • A triangle has three equal sides and three equal angles in every case
  15. A trapezium has parallel sides of 3 cm and 7 cm and a height of 6 cm. What is its area?

    • 15 cm²
    • 21 cm²
    • 30 cm²
    • 60 cm²
  16. A parallelogram has an area of 15 cm² and a height of 3 cm. What is its base?

    • 45 cm
    • 18 cm
    • 2.5 cm
    • 5 cm
  17. A triangle has a base of 9 cm and a height of 4.5 cm. What is its area?

    • 40.5 cm²
    • 13.5 cm²
    • 18 cm²
    • 20.25 cm²
  18. A trapezium has parallel sides of 10 cm and 14 cm and a height of 5 cm. What is its area?

    • 120 cm²
    • 60 cm²
    • 30 cm²
    • 24 cm²
  19. A triangle and a parallelogram have the same base of 10 cm and the same height of 4 cm. What is the ratio of the triangle's area to the parallelogram's area?

    • 1 : 4
    • 2 : 1
    • 1 : 1
    • 1 : 2
  20. A triangle has vertices (1, 1), (7, 1) and (4, 5). What is its area?

    • 6 square units
    • 10 square units
    • 12 square units
    • 24 square units

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