4MA1/1H Nov 2021, Question 4: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Find the volume of varnish in millilitres needed for two coats on the shaded front of a 2 m by 0.75 m door with a 0.5 m diameter semicircular window, given 250 ml covers 4 m², rounded to the nearest millilitre.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Door area = 2 × 0.75 = 1.5 m²
- 2Window = 1/2 × π × 0.25² = 0.0981… m²
- 3Wood = 1.5 − 0.0981… = 1.4018… m²; two coats = 2.8036… m²
- 4Varnish = 2.8036… ÷ 4 × 250 = 175.2… ml
- 5175 ml
Answer175
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