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AQA GCSE Mathematics · 8300

Geometry

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AQA format & instructions

Show your working and give answers in the spaces provided. Paper 1H is non-calculator; Papers 2H and 3H permit a calculator. Diagrams are not necessarily drawn accurately.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

  • 1H · Non-calculator · 80 marks · 90 minutes
  • 2H · Calculator · 80 marks · 90 minutes
  • 3H · Calculator · 80 marks · 90 minutes
Official specification ↗ · Official past papers ↗
QUESTION PAPER
Mathematics · Higher TierHigher Tier · Calculator practice · 8300
Torus Maths original · AQA style
1

Two geometrically similar solid ornaments A and B have surface areas in the ratio A:B=9:25. A has volume 108 cm³. Its metal has density 2.4 g/cm³. B is made from a different metal of density 1.8 g/cm³.

(a)

Find the mass of B.

[4 marks]

(b)

Find the ratio of the masses A:B in its simplest integer form.

[3 marks]

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