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4MA1/1F Jun 2021, Question 23: Standard Form

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

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The question, in short

Using the table of populations for five countries, find the gap between China and Germany in standard form, and find k for Fiji relative to Sweden.

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Part (a) · 2 marks

Work out the difference between the populations of China and Germany, giving the result in standard form.

  1. 1Write Germany with the same power of 10: 8.2 × 10⁷ = 0.082 × 10⁹
  2. 21.4 × 10⁹ − 0.082 × 10⁹ = 1.318 × 10⁹

Answer1.318 × 10⁹

Part (b) · 2 marks

Given Fiji's population equals 1/k times Sweden's, work out k to the nearest whole number.

  1. 1Population of Fiji = population of Sweden ÷ k
  2. 2k = 9.9 × 10⁶ ÷ (9.1 × 10⁵) = 10.879…
  3. 3To the nearest whole number, k = 11

Answer11

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