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AQA GCSE Mathematics · 8300

Ratio, proportion & change

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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 · Non-calculator practice · 8300
Torus Maths original · AQA style
1

Two pumps can fill a tank in 12 minutes and 18 minutes respectively. A drain can empty the full tank in 36 minutes. All three operate at constant rates. The tank is initially empty.

(a)

Both pumps and the drain are switched on. Find the time taken to fill the tank if all three continue operating.

[4 marks]

(b)

Instead, the 12-minute pump fails after 3 minutes. The other pump and the drain continue operating. Find the total time needed to fill the tank.

[4 marks]

Question reference: aqa-gcse-retry-rates-01Report a question →
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