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0580/32 May/Jun 2023, Question 1: Speed, Distance and Time

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 14 marks

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The question, in short

Answer a set of short number questions: writing a large number in figures, rounding, estimating a fraction, evaluating expressions, and solving two speed problems.

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

Part (a) · 1 mark

Write three hundred thousand and three in figures.

  1. 1Three hundred thousand = 300 000, plus three
  2. 2300 000 + 3 = 300003

Answer300003

Part (bi) · 1 mark

Round 15 896 to the nearest thousand.

  1. 115 896: the hundreds digit is 8, so round up
  2. 2≈ 16000

Answer16000

Part (bii) · 1 mark

Round 15 896 to the nearest ten.

  1. 115 896: the units digit is 6, so round up
  2. 2≈ 15900

Answer15900

Part (c) · 2 marks

Estimate (28.9 × 5.49)/(0.472 + 0.97) by rounding each number to 1 significant figure, showing working.

  1. 128.9 ≈ 30, 5.49 ≈ 5, 0.472 ≈ 0.5, 0.97 ≈ 1
  2. 2(30 × 5)/(0.5 + 1) = 150/1.5
  3. 3= 100

Answer100

Part (di) · 1 mark

Find the value of √1849.

  1. 143 × 43 = 1849
  2. 2√1849 = 43

Answer43

Part (dii) · 1 mark

Find the value of 5⁰ − 5⁻¹.

  1. 15⁰ = 1 and 5⁻¹ = 1/5 = 0.2
  2. 21 − 0.2 = 0.8

Answer0.8

Part (diii) · 1 mark

Find the value of (5 sin 30 − 8)/11.

  1. 1sin 30 = 0.5, so 5 sin 30 = 2.5
  2. 2(2.5 − 8)/11 = −5.5/11 = −0.5

Answer−0.5

Part (ei) · 4 marks

For a cyclist at 8.5 m/s, find the time to travel 5.27 kilometres, in minutes and seconds.

  1. 15.27 km = 5270 m
  2. 2Time = 5270 ÷ 8.5 = 620 s
  3. 3620 s = 10 × 60 + 20
  4. 4= 10 min 20 s

Answer10 min 20 s

Part (eii) · 2 marks

Find the percentage increase in speed from 8.5 m/s to 10.2 m/s.

  1. 1Increase = 10.2 − 8.5 = 1.7
  2. 21.7/8.5 × 100 = 20%

Answer20

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Also searched as: 0580/32/M/J/23 · 0580_s23_qp_32 · 0580 s23 32 · question 1.
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