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0580/33 May/Jun 2024, Question 2: Speed, Distance and Time

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 15 marks

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The question, in short

Bus timetable, travel timing, seat totals, shopping costs, shop ratios and percentage price changes are all covered; find each requested value.

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

Part (ai) · 2 marks

Using the equal journey time shown by the completed 09 24 trip, work out the missing city centre arrival time for the 11 06 departure.

  1. 1Journey time = 10 03 − 09 24 = 39 min
  2. 211 06 + 39 min = 11 45

Answer11 45

Part (aii) · 3 marks

Beth covers 4 km at 6 km/h to reach the station; determine the latest departure time from home allowing her to catch the 09 24 bus.

  1. 1Walking time = 4 ÷ 6 h = 2/3 h = 40 min
  2. 209 24 − 40 min = 08 44

Answer08 44

Part (aiii) · 2 marks

Given 45 occupied seats equal 3/5 of the bus capacity, calculate how many seats the bus has altogether.

  1. 11/5 of the seats = 45 ÷ 3 = 15
  2. 2Total seats = 15 × 5 = 75

Answer75

Part (b) · 3 marks

Onions weigh 2.4 kg at $1.25 per kg and potatoes 4.5 kg, total $11.64; work out the price per kilogram of potatoes.

  1. 1Onions = 2.4 × 1.25 = $3
  2. 2Potatoes = 11.64 − 3 = $8.64
  3. 3Cost per kg = 8.64 ÷ 4.5 = $1.92

Answer1.92

Part (ci) · 2 marks

Among 140 shoppers, adults to children is 3:2; determine how many of them are adults.

  1. 1Adults = 140 ÷ (3 + 2) × 3
  2. 2= 28 × 3 = 84

Answer84

Part (cii) · 1 mark

A television priced at $624 has 37.5% profit; work out the profit amount in dollars.

  1. 1Profit = 37.5/100 × 624 = $234

Answer234

Part (ciii) · 2 marks

A phone costing $420 rises in price by 12%; calculate the price after the increase.

  1. 1New price = 420 × (1 + 12/100) = 420 × 1.12
  2. 2= $470.40

Answer470.40

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Also searched as: 0580/33/M/J/24 · 0580_s24_qp_33 · 0580 s24 33 · question 2.
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