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Edexcel GCSE Mathematics · 1MA1

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.

Edexcel format & instructions

Show all working in the spaces provided. Paper 1H is non-calculator; Papers 2H and 3H permit a calculator. Diagrams are not to scale unless stated.

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 · 1MA1
Torus Maths original · Edexcel style
1

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)

(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)

(Total for Question 1 is 7 marks)

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