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0580/32 May/Jun 2023, Question 3: Time Calculations

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 11 marks

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The question, in short

Using a given exchange rate of 50 Australian dollars to 540 South African rands, draw a conversion graph, convert a watch price, and solve time, ratio and percentage problems.

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

Part (ai) · 2 marks

Draw a straight-line conversion graph of South African rands against Australian dollars on the provided grid.

  1. 10 dollars = 0 rands, so the line passes through (0, 0)
  2. 2Plot (50, 540)
  3. 3Draw a ruled line joining (0, 0) to (50, 540)

AnswerRuled line joining (0, 0) to (50, 540)

Part (aii) · 2 marks

Use the graph to find the Australian dollar cost of a watch priced at 1350 South African rands.

  1. 11350 ÷ 540 = 2.5
  2. 22.5 × 50 = 125 Australian dollars

Answer125 (accept 123 to 127)

Part (bi) · 3 marks

Find the Johannesburg local arrival time for a Sydney departure at 21 48, a 14 h 15 min flight, and an 8-hour time difference.

  1. 1Arrival in Sydney time: 21 48 + 14 h 15 min = 12 03 the next day
  2. 2Johannesburg is 8 hours behind: 12 03 − 8 h = 04 03

Answer04 03

Part (bii) · 2 marks

With 315 people and a children to adults ratio of 7 : 8, work out the number of adults.

  1. 1Total parts = 7 + 8 = 15
  2. 21 part = 315 ÷ 15 = 21
  3. 3Adults = 8 × 21 = 168

Answer168

Part (biii) · 2 marks

For a plane with 420 seats and 90% occupancy, work out how many seats are occupied.

  1. 190% of 420 = 420 × 90/100
  2. 2= 378

Answer378

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Also searched as: 0580/32/M/J/23 · 0580_s23_qp_32 · 0580 s23 32 · question 3.
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