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0580/32 Oct/Nov 2022, Question 9: Reciprocals

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 7 marks

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The question, in short

Answer six short numerical questions: reciprocals, index laws, fractions, temperature difference, standard form, and multiplying numbers in standard form.

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

Part (a) · 1 mark

State the reciprocal of 1/3.

  1. 1Reciprocal of 1/3 = 3/1 = 3

Answer3

Part (b) · 1 mark

State the value of 3⁰.

  1. 13⁰ = 1

Answer1

Part (c) · 1 mark

Give a fraction lying between 3/25 and 4/25.

  1. 13/25 = 6/50 and 4/25 = 8/50
  2. 27/50 lies between them

AnswerCorrect fraction e.g. 7/50

Part (d) · 1 mark

Work out the temperature difference between −5 °C and 9 °C.

  1. 19 − (−5) = 14 °C

Answer14

Part (ei) · 1 mark

Write 5 600 000 in standard form.

  1. 15 600 000 = 5.6 × 10⁶

Answer5.6 × 10⁶

Part (eii) · 1 mark

Write 0.000 072 in standard form.

  1. 10.000 072 = 7.2 × 10⁻⁵

Answer7.2 × 10⁻⁵

Part (f) · 1 mark

Calculate (5.2 × 10⁶) × (3.8 × 10⁻²), giving the result in standard form.

  1. 15.2 × 3.8 = 19.76, 10⁶ × 10⁻² = 10⁴
  2. 219.76 × 10⁴ = 1.976 × 10⁵

Answer1.976 × 10⁵

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Also searched as: 0580/32/O/N/22 · 0580_w22_qp_32 · 0580 w22 32 · question 9.
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