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4MA1/1FR Jan 2022, Question 4: Pictograms

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

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The question, in short

Use a pictogram where one symbol stands for 4 people to read holiday choices from 40 people, add Cruise and Skiing data, and find a probability.

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

Part (a) · 1 mark

Read the number of people who chose Beach from the pictogram symbols.

  1. 1Beach is represented by 3 full symbols and 1 half symbol
  2. 2Each symbol represents 4 people
  3. 33 × 4 = 12
  4. 40.5 × 4 = 2
  5. 512 + 2 = 14

Answer14

Part (b) · 2 marks

Add symbols to the pictogram to represent 4 people choosing Cruise and 9 choosing Skiing.

  1. 1Cruise: 4 people, each symbol is 4 people, so 4 ÷ 4 = 1 symbol
  2. 2Draw one symbol for Cruise
  3. 3Skiing: 9 people, 9 ÷ 4 = 2.25
  4. 42.25 symbols = 2 full symbols and one quarter symbol
  5. 5Draw 2 full symbols and one quarter symbol for Skiing

AnswerCruise: 1 whole symbol; Skiing: 2 whole symbols and a quarter symbol (1 symbol = 4 people)

Part (c) · 2 marks

Calculate the probability that a randomly selected person chose City Break.

  1. 1Total number of people = 40
  2. 2Number who said City Break = 7 (from pictogram: 1 full symbol and 3/4 of another: 4 + 3 = 7)
  3. 3Probability = 7 / 40
  4. 47/40

Answer7/40

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