GCSE · Perimeter, area & volume

Area of triangles, parallelograms & trapeziaExam-style questions

Why every straight-sided area formula is a rectangle in disguise — base times PERPENDICULAR height, the trapezium average, compound shapes by splitting or subtracting, and why 1 m² is 10 000 cm².

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4
  1. 1
    A circle has radius 7.57.5 cm.

    (a) Work out the area of the circle. Give your answer correct to 1 decimal place. [2]

    A semicircle is cut from the circle.

    (b) Work out the perimeter of the semicircle. Give your answer correct to 1 decimal place. [2]
    Level 2 · 4 marksTry it
  2. 2
    The diagram shows a trapezium.13 cm7 cm8 cmDiagram NOT accurately drawn

    Work out the area of the trapezium.
    Level 2 · 2 marksTry it
  3. 3
    The diagram shows a triangle with base 1212 cm and perpendicular height 77 cm.12 cm7 cmDiagram NOT accurately drawn

    Work out the area of the triangle.
    Level 2 · 2 marksTry it