4MA1/1HR Jan 2021, Question 10: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 5 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Work out the least number of 16 m² paint tins needed for a symmetric pentagon wall face with base 10 m, vertical sides 6 m and sloping sides 7 m, showing working.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Split the face into a 10 m by 6 m rectangle and a triangle on top
- 2Triangle height = √(7² − 5²) = √24 = 4.898… m
- 3Area = 10 × 6 + ½ × 10 × 4.898… = 60 + 24.49… = 84.49… m²
- 4Tins needed: 84.49… ÷ 16 = 5.28…
- 5Round up to whole tins: 6
Answer6
Stuck on a step? Read the free lesson: Composite Perimeter, Area and Volume
Practise more composite perimeter, area and volume questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on composite perimeter, area and volume
Also searched as: 4MA1 1HR January 2021 · 4MA1/1HR · 4ma1 jan21 1hr · question 10.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.