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.
14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try
- 1A circle has radius 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 - 2The diagram shows a trapezium.Diagram NOT accurately drawn
Work out the area of the trapezium.Level 2 · 2 marksTry it - 3The diagram shows a triangle with base cm and perpendicular height cm.Diagram NOT accurately drawn
Work out the area of the triangle.Level 2 · 2 marksTry it - 4Anil is going to tile the kitchen floor shown in the diagram.Tiles are sold in boxes.
One box of tiles covers m² of floor.
Anil buys boxes of tiles.
He assumes that none of the tiles will be wasted.
(a) Using this assumption, does Anil have enough tiles for the whole floor?
You must show all your working.
(4 marks)
In fact, of the tiles Anil buys are wasted when he cuts them to fit.
(b) Does this affect your answer to part (a)?
You must give a reason for your answer.
(1 mark)Level 3 · 5 marksTry it - 5The diagram shows a plan of Cara's patio.
The patio is a rectangle with a semicircle at each end.Cara is going to cover the patio with one coat of sealant.
Sealant is sold in tins.
One tin of sealant covers m²
(a) Work out how many tins of sealant Cara needs.
(4 marks)
Cara then decides to cover the patio with two coats of sealant.
(b) How does this affect your answer to part (a)?
(1 mark)Level 3 · 5 marksTry it
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