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4MA1/1FR Jan 2023, Question 8: Tally Charts and Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

Complete a two-way table for 80 Year 5 and Year 6 students choosing apple pie, fruit or ice cream, then find the fraction in Year 5 choosing apple pie in simplest form.

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

Part (a) · 3 marks

Fill in the missing entries in the two-way table using the given totals and the fact that each student chose one dessert.

  1. 1Year 5 total = 80 − 44 = 36
  2. 2Year 5 ice cream = 36 − 22 − 6 = 8
  3. 3Year 6 apple pie = 56 − 22 = 34
  4. 4Year 6 fruit = 44 − 34 − 2 = 8
  5. 5Fruit total = 6 + 8 = 14
  6. 6Ice cream total = 8 + 2 = 10
  7. 7Year 5: 22, 6, 8, 36; Year 6: 34, 8, 2, 44; Total: 56, 14, 10, 80

AnswerYear 5: 22, 6, 8, 36; Year 6: 34, 8, 2, 44; Total: 56, 14, 10, 80

Part (b) · 2 marks

Find the fraction of the 80 students who were in Year 5 and chose apple pie, giving it in simplest form.

  1. 1Number of Year 5 students who chose apple pie is 22
  2. 2Fraction = 22 / 80
  3. 3Simplify: divide numerator and denominator by 2 → 11 / 40

Answer11/40

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