GCSE Maths Foundation

Geometry and Measures

40 free practice questions with explanations

PassNova has 40 free GCSE Maths Foundation practice questions on Geometry and Measures, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.

Sample questions

Geometry and Measures: example questions & answers

12 worked examples with answers and explanations below. Practise all 40 Geometry and Measures questions free in the browser, with instant feedback on every answer.

  1. What is the area of a rectangle with length 6 cm and width 4 cm?

    • A10 cm²
    • B20 cm²
    • C24 cm²
    • D48 cm²

    Answer: Area of rectangle = length × width = 6 × 4 = 24 cm².

  2. What is the perimeter of a square with side 5 cm?

    • A10 cm
    • B15 cm
    • C20 cm
    • D25 cm

    Answer: Perimeter of square = 4 × side = 4 × 5 = 20 cm.

  3. What is the volume of a cube with side 3 cm?

    • A9 cm³
    • B27 cm³
    • C36 cm³
    • D81 cm³

    Answer: Volume of cube = side³ = 3³ = 27 cm³.

  4. What is the area of a triangle with base 8 cm and height 5 cm?

    • A20 cm²
    • B40 cm²
    • C13 cm²
    • D80 cm²

    Answer: Area of triangle = (base × height) ÷ 2 = (8 × 5) ÷ 2 = 20 cm².

  5. How many millimetres are in 5 centimetres?

    • A0.5 mm
    • B50 mm
    • C500 mm
    • D5000 mm

    Answer: 1 cm = 10 mm. So 5 cm = 5 × 10 = 50 mm.

  6. How many metres are in 3.5 kilometres?

    • A350 m
    • B3500 m
    • C3.5 m
    • D35,000 m

    Answer: 1 km = 1000 m. So 3.5 km = 3.5 × 1000 = 3500 m.

  7. What is the volume of a cuboid with length 6 cm, width 4 cm, and height 3 cm?

    • A13 cm³
    • B36 cm³
    • C72 cm³
    • D144 cm³

    Answer: Volume = length × width × height = 6 × 4 × 3 = 72 cm³.

  8. What is the perimeter of a rectangle with length 10 cm and width 6 cm?

    • A16 cm
    • B32 cm
    • C60 cm
    • D4 cm

    Answer: Perimeter = 2(length + width) = 2(10 + 6) = 2 × 16 = 32 cm.

  9. How many grams are in 2.5 kilograms?

    • A0.25 g
    • B250 g
    • C2500 g
    • D25,000 g

    Answer: 1 kg = 1000 g. So 2.5 kg = 2.5 × 1000 = 2500 g.

  10. What is the area of a circle with radius 3 cm? (Use π ≈ 3.14)

    • A9.42 cm²
    • B18.84 cm²
    • C28.26 cm²
    • D113.04 cm²

    Answer: Area = πr² = 3.14 × 3² = 3.14 × 9 = 28.26 cm².

  11. What is the circumference of a circle with radius 5 cm? (Use π ≈ 3.14)

    • A15.7 cm
    • B31.4 cm
    • C78.5 cm
    • D157 cm

    Answer: Circumference = 2πr = 2 × 3.14 × 5 = 31.4 cm.

  12. What is the surface area of a cube with side 2 cm?

    • A4 cm²
    • B8 cm²
    • C24 cm²
    • D64 cm²

    Answer: A cube has 6 faces. Area of each face = 2² = 4 cm². Total = 6 × 4 = 24 cm².

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