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0580/32 May/Jun 2022, Question 6: Distance-Time Graphs

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 12 marks

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The question, in short

Use a travel graph of Mr Vay's journey to the bank, plus coin, currency and simple interest calculations, to find distances, times, speeds and money amounts.

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

Part (ai) · 1 mark

From the travel graph, state the distance travelled in the first 8 minutes.

  1. 1At 07 08 the graph is at 0.8 km: 0.8 km

Answer0.8

Part (aii) · 1 mark

Describe what the horizontal section of the graph from 07 08 to 07 12 represents.

  1. 1The line is horizontal, so the distance does not change: he is stationary

AnswerHe is stationary

Part (aiii) · 2 marks

Identify the fastest part of the journey and justify the choice using the graph.

  1. 1Between 07 12 and 07 24
  2. 2because the gradient of the line is steepest there

Answer07 12 and 07 24, gradient is steepest

Part (aiv) · 3 marks

Calculate the average speed for the whole journey in kilometres per hour.

  1. 1Distance = 6.4 km in 24 minutes
  2. 2Speed = 6.4 ÷ 24 × 60
  3. 3= 16 km/h

Answer16

Part (b) · 2 marks

Using the coin table, work out the total value of Katya's coins in dollars.

  1. 11 × 12 + 5 × 23 + 10 × 17 + 25 × 9 + 50 × 7 + 100 × 24
  2. 2= 12 + 115 + 170 + 225 + 350 + 2400 = 3272 cents
  3. 33272 ÷ 100 = $32.72

Answer32.72

Part (c) · 1 mark

Convert $700 to euros using the rate $1 = 0.904 euros.

  1. 1700 × 0.904 = 632.8 euros

Answer632.8

Part (d) · 2 marks

Find the simple interest on $8500 at 1.7% per year over 4 years.

  1. 1Interest per year = 8500 × 1.7/100 = 144.5
  2. 2Total = 144.5 × 4 = $578

Answer578

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Also searched as: 0580/32/M/J/22 · 0580_s22_qp_32 · 0580 s22 32 · question 6.
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