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0580/33 Oct/Nov 2022, Question 7: Speed, Distance and Time

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 10 marks

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The question, in short

Using a table of ten flight distances and ticket prices, complete and interpret a scatter diagram, then estimate a price, convert currency, and calculate speed and carbon emissions.

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

Part (ai) · 1 mark

Plot the two remaining distance-price pairs on the scatter diagram.

  1. 1Plot (3850, 715) and (2900, 530)

AnswerPoints plotted at (3850, 715) and (2900, 530)

Part (aii) · 1 mark

State the kind of correlation visible in the plotted points.

  1. 1Price increases as distance increases: positive correlation

AnswerPositive

Part (aiii) · 1 mark

Ring the plotted point whose price per kilometre is far higher than the rest.

  1. 1900 ÷ 3000 = $0.30 per km, much more than the others (about $0.14 to $0.22 per km)
  2. 2Ring the point (3000, 900)

AnswerRing around (3000, 900)

Part (aiv) · 1 mark

Add a line of best fit to the scatter diagram.

  1. 1Draw one ruled line following the trend of the points (ignoring the ringed one)
  2. 2e.g. through about (2000, 430) and (6000, 915)

AnswerCorrect ruled line

Part (av) · 1 mark

Using your line, estimate the ticket price for a 4500 km flight.

  1. 1Go up from 4500 km to the line and across
  2. 2On the line through (2000, 430) and (6000, 915): 430 + 2500 × 485/4000 ≈ 733
  3. 3Price ≈ $733

Answer720 to 760

Part (b) · 1 mark

Convert $522 to euros when 1 euro equals $1.16.

  1. 1522 ÷ 1.16 = 450 euros

Answer450

Part (ci) · 2 marks

Find the average speed in km/h for 939 km covered in 1 hour 24 minutes.

  1. 11 h 24 min = 1.4 h
  2. 2939 ÷ 1.4 = 670.7… ≈ 671 km/h

Answer671 or 670.7…

Part (cii) · 2 marks

With 3.89 kg of fuel per km and 3.15 kg of carbon per kg of fuel, find total carbon emissions for the 939 km flight.

  1. 1Fuel = 3.89 × 939 = 3652.71 kg
  2. 2Emissions = 3652.71 × 3.15 = 11 506.0… ≈ 11 500 kg

Answer11500 or 11510 or 11506…

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Also searched as: 0580/33/O/N/22 · 0580_w22_qp_33 · 0580 w22 33 · question 7.
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