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4MA1/2H Jun 2019, Question 11: Standard Form

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

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The question, in short

Using a table of average attendances for five clubs in standard form, find a difference, check a claim about a ratio, and work out an overall percentage change after a 15% rise then 8% fall.

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

Part (a) · 2 marks

Find the difference between Barcelona's and Monaco's average attendances, giving the result in standard form.

  1. 1Barcelona: 7.7 × 10⁴ = 77 000
  2. 2Monaco: 9.5 × 10³ = 9500
  3. 377 000 − 9500 = 67 500 = 6.75 × 10⁴

Answer6.75 × 10⁴

Part (b) · 2 marks

Decide whether Chelsea's attendance is about 50 times Oxford United's, justifying your decision.

  1. 1Oxford United: 8.3 × 10³ = 8300
  2. 250 × 8300 = 415 000
  3. 3Chelsea: 4.2 × 10⁴ = 42 000, far less than 415 000
  4. 4So Antonio is not correct: No

AnswerNo, because 8.3 × 10³ × 50 = 415 000, which is far more than Chelsea's 4.2 × 10⁴ = 42 000

Part (c) · 2 marks

Calculate the overall percentage change in a ticket price after it rises 15% then falls 8%.

  1. 115% increase: multiplier 1.15
  2. 28% decrease: multiplier 0.92
  3. 31.15 × 0.92 = 1.058, which is 105.8%
  4. 4Overall change = 105.8 − 100 = 5.8% increase: 5.8

Answer5.8

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