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4MA1/1F Jan 2020, Question 10: Ratios in Simplest Form

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

Simplify the ratio 32 : 80, then use the bag ratio red : blue = 5 : 7 to find what fraction of all counters are red.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Write 32 : 80 in simplest form.

  1. 1The HCF of 32 and 80 is 16
  2. 232 ÷ 16 = 2 and 80 ÷ 16 = 5
  3. 3Simplest form: 2 : 5

Answer2 : 5

Part (b) · 1 mark

Given red : blue = 5 : 7, find the fraction of counters that are red.

  1. 1total parts = 5 + 7 = 12
  2. 2red counters = 5 parts
  3. 3fraction red = 5/12

Answer5/12

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