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4MA1/1FR Jun 2020, Question 8: Tally Charts and Frequency Tables

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

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The question, in short

Fill in the missing cells of a two-way table for 150 conference attendees by transport method and gender, then find the probability a randomly chosen man travelled by train.

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

Part (a) · 3 marks

Complete the two-way table using the given totals: men 80, women 17 by bus, totals 29 bus, 43 train, 150 overall.

  1. 1Total people = 150
  2. 2Total men = 80, so women = 150 − 80 = 70
  3. 3Total bus = 29, women bus = 17, so men bus = 29 − 17 = 12
  4. 4Men total = 80, men bus = 12, men train = 15, so men plane = 80 − 12 − 15 = 53
  5. 5Total plane = 150 − 29 − 43 = 78
  6. 6Women plane = 78 − 53 = 25
  7. 7Women train = 70 − 17 − 25 = 28
  8. 8Check: women total = 17 + 28 + 25 = 70

Answerbus: men 12, women 17, total 29; train: men 15, women 28, total 43; plane: men 53, women 25, total 78; total: men 80, women 70, overall 150

Part (b) · 1 mark

One man is picked at random; state the probability his main transport was train.

  1. 1Number of men who took train = 15
  2. 2Total number of men = 80
  3. 3Probability = 15 / 80

Answer15/80

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