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0580/32 Oct/Nov 2022, Question 4: Percentage Increases and Decreases

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 13 marks

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The question, in short

Calculate the Perez family's total holiday cost with tax, the Tokyo arrival day and time, the plane's average speed, a watch's yen cost from a graph, and the drinks cost from a ratio.

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

Part (a) · 4 marks

Find the total holiday cost for 2 adults and 3 children at $3800 and $2400 each, after adding 8% tax.

  1. 1Cost = 2 × 3800 + 3 × 2400 = 7600 + 7200 = 14 800
  2. 2With tax: 14 800 × (1 + 8/100) = 14 800 × 1.08
  3. 3= $15 984

Answer15984

Part (bi) · 3 marks

Given an 11 h 40 min flight leaving Los Angeles Wednesday 10 35, find the arrival day and local time in Tokyo, 17 hours ahead.

  1. 110 35 + 11 h 40 min = 22 15 Wednesday (Los Angeles time)
  2. 222 15 + 17 h = 15 15 the next day
  3. 3Thursday at 15 15

AnswerThursday and 15 15 or 3 15 pm

Part (bii) · 2 marks

Calculate the plane's average speed for a distance of 8820 km over the flight time.

  1. 111 h 40 min = 11 2/3 h
  2. 2Speed = 8820 ÷ 11 2/3 = 756 km/h

Answer756

Part (c) · 2 marks

Use the dollars-to-yen conversion graph to find the yen cost of a $100 watch.

  1. 1From the graph, $40 = 4400 yen
  2. 2$100 = 2.5 × 4400 = 11 000 yen

Answer11000 or 10875 to 11125

Part (d) · 2 marks

With food and drinks totalling $154 in the ratio 21 : 4, work out the cost of the drinks.

  1. 121 + 4 = 25 parts
  2. 2Drinks = 154 × 4/25 = $24.64

Answer24.64

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