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0580/31 Oct/Nov 2024, Question 3: Everyday Money Problems

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 12 marks

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The question, in short

From a survey bar chart of bicycle use by age, plus trip times, a pie chart table and a bike payment plan, find percentages, counts, total time, angles and number of payments.

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

Part (ai) · 1 mark

Using the bar chart, state the percentage for the 60 to 69 age group.

  1. 1Read the bar for 60−69: 30%

Answer30

Part (aii) · 2 marks

Given 980 people aged 30 to 39, work out how many ride a bicycle.

  1. 1Bar for 30−39 shows 40%
  2. 240/100 × 980 = 392

Answer392

Part (b) · 2 marks

Jack makes 18 trips of 23 minutes each; find the yearly total in hours and minutes.

  1. 118 × 23 = 414 minutes
  2. 2414 = 6 × 60 + 54
  3. 3= 6 hours 54 mins

Answer6 hours 54 mins

Part (ci) · 2 marks

For 240 people, complete the pie chart sector angles for cycle paths, parks and other.

  1. 1360 ÷ 240 = 1.5° per person
  2. 2Cycle paths: 72 × 1.5 = 108°
  3. 3Parks: 48 × 1.5 = 72°
  4. 4Other: 36 × 1.5 = 54°

Answer| Cycle paths | 108° | | Parks | 72° | | Other | 54° |

Part (cii) · 2 marks

Draw the remaining sectors on the pie chart, which already shows Roads at 126°.

  1. 1From the end of the Roads sector draw Cycle paths 108°, then Parks 72°; the rest is Other 54°
  2. 2Check: 126 + 108 + 72 + 54 = 360°; label each sector

AnswerCorrect pie chart

Part (d) · 3 marks

A $720 bicycle has a one-fifth deposit, then equal monthly payments of $16; find how many payments.

  1. 1Deposit = 1/5 × 720 = $144
  2. 2Rest = 720 − 144 = $576
  3. 3576 ÷ 16 = 36 payments

Answer36

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