4MA1/2HR Jun 2020, Question 15: Compound Measures
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Cylinders of radius 2.5 cm and length 15 cm, platinum density 21.5 g/cm³; decide whether 5 nuggets exceed Jacques's 30 kg limit, showing working.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1π × 2.5² × 15 = 93.75π
- 293.75π ≈ 294.524 cm³
- 321.5 × 294.524 = 6332.266 g
- 46332.266 ÷ 1000 = 6.332 kg per nugget
- 56.332 × 5 = 31.66 kg for 5 nuggets
- 631.66 > 30
- 7No
AnswerNo, because each nugget has mass 21.5 × 93.75π = 6332 g = 6.33 kg, so 5 of them weigh 31.66 kg, which is more than 30 kg
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