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4024/13 May/Jun 2026, Question 12: Standard Form

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 5 marks

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The question, in short

Convert 0.00063 to standard form, then use P = 7 × 10ˣ and Q = 5 × 10³ˣ to find expressions in x, giving answers in standard form.

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Part (a) · 1 mark

Write 0.000 63 in standard form.

  1. 1Move the decimal point 4 places right: 6.3
  2. 20.000 63 = 6.3 × 10⁻⁴

Answer6.3 × 10⁻⁴

Part (bi) · 2 marks

Find P² in terms of x, giving the answer in standard form.

  1. 1P² = 7² × (10ˣ)² = 49 × 10²ˣ
  2. 249 = 4.9 × 10
  3. 3P² = 4.9 × 10²ˣ⁺¹

Answer4.9 × 10²ˣ⁺¹

Part (bii) · 2 marks

Find P ÷ Q in terms of x, giving the answer in standard form.

  1. 1P ÷ Q = (7 ÷ 5) × 10ˣ⁻³ˣ
  2. 2= 1.4 × 10⁻²ˣ

Answer1.4 × 10⁻²ˣ

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