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4MA1/2FR Jan 2019, Question 6: Tally Charts and Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks

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The question, in short

Complete a partly filled two-way table for 80 science students by subject and gender, then find two probabilities from the completed table.

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

Part (a) · 3 marks

Fill in all the missing cells and totals in the two-way table using the given numbers.

  1. 1Boys total = 80 − 43 = 37
  2. 2Boys Chemistry = 37 − 25 − 7 = 5; girls Biology = 31 − 25 = 6
  3. 3Girls Physics = 43 − 6 − 4 = 33
  4. 4Chemistry total = 5 + 4 = 9; Physics total = 7 + 33 = 40
  5. 5Biology: boys 25, girls 6, total 31; Chemistry: boys 5, girls 4, total 9; Physics: boys 7, girls 33, total 40; Total: boys 37, girls 43, overall 80

AnswerBiology: boys 25, girls 6, total 31; Chemistry: boys 5, girls 4, total 9; Physics: boys 7, girls 33, total 40; Total: boys 37, girls 43, overall 80

Part (b) · 1 mark

Find the probability that a randomly chosen student from all 80 is a girl.

  1. 1Number of girls = 43, total students = 80
  2. 2Probability = 43 / 80

Answer43/80

Part (c) · 2 marks

Given a girl is chosen at random, find the probability she prefers Chemistry.

  1. 1Number of girls who like Chemistry = 4, total girls = 43
  2. 2Probability = 4 / 43

Answer4/43

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