AQA GCSE Mathematics · 8300

Ratio, proportion & change

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Extreme practice · Multi-step problems within GCSE Higher. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

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

Two taps fill a tank. One tap takes 6 minutes longer than the other to fill it alone. Together they fill it in 3 minutes. Their rates are constant.

(a)

Find the exact time each tap takes alone.

[4 marks]

Answer

(b)

The slower tap is used alone for 3 minutes. Both taps are then used to finish filling the tank. Find the total time in exact form.

[3 marks]

Answer

Question reference: aqa-gcse-extreme-13-01Report a question →

Need a nudge?Three small hints · no answer revealed