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4MA1/1F Jun 2018, Question 2: Bar Charts and Composite Bar Charts

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 7 marks

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The question, in short

Use a bar chart of total medals for six countries at the 2016 Olympics to compare totals, find non-gold medals, form a simplified ratio, and work out a fraction.

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

Part (a) · 1 mark

Identify which of the six listed countries has the shortest bar, meaning the smallest total medal count.

  1. 1Reading the heights of the bars: Germany 42, Great Britain 67, Italy 28, Kenya 13, Russia 56, South Korea 21.
  2. 2The shortest bar is Kenya's, at 13 medals.
  3. 3Kenya won the fewest total number of medals.

AnswerKenya

Part (b) · 2 marks

Given Great Britain's 27 gold medals, calculate how many of its medals from the chart were not gold.

  1. 1The bar for Great Britain reaches 67, so Great Britain won 67 medals in total.
  2. 2Medals that were not gold = 67 − 27
  3. 367 − 27 = 40

Answer40

Part (c) · 2 marks

Read Russia's and Germany's totals from the chart and express their ratio in simplest form.

  1. 1Russia's bar reaches 56 and Germany's bar reaches 42.
  2. 2Russia : Germany = 56 : 42
  3. 3The highest common factor of 56 and 42 is 14.
  4. 456 ÷ 14 = 4 and 42 ÷ 14 = 3
  5. 5Russia : Germany = 4 : 3

Answer4 : 3

Part (d) · 2 marks

Using the USA's 46 gold, 37 silver and 38 bronze medals, find the fraction of its total that were gold.

  1. 1Total medals won by the USA = 46 + 37 + 38
  2. 246 + 37 + 38 = 121
  3. 346 of these 121 medals were gold.
  4. 4The fraction of the USA's medals that were gold is 46/121

Answer46/121

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