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4024/22 Oct/Nov 2022, Question 1: Currency Conversions

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 11 marks

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The question, in short

Hala's train journey with a Paris change, currency conversion from pounds to euros, and Josef's holiday deposit and discounted parking calculations.

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

Part (ai) · 2 marks

Complete the timetable using journey times of 2 hours 28 minutes and 3 hours 30 minutes, with Paris and Marseille 1 hour ahead of London.

  1. 1Paris arrive 16 50 local = 15 50 London time
  2. 2London depart = 15 50 − 2 h 28 min = 13 22
  3. 3Marseille arrive = 19 31 + 3 h 30 min = 23 01
  4. 4London depart 13 22, Marseille arrive 23 01

Answer13 22, 23 01

Part (aii) · 1 mark

Find how long Hala waits in Paris between arriving at 16 50 and departing at 19 31.

  1. 116 50 to 19 31 = 2 hours 41 minutes

Answer2 hours 41 minutes

Part (b) · 3 marks

Given $1 = £0.75 and £250 exchanged for €290, calculate the value of r in $1 = €r.

  1. 1£250 = 250 ÷ 0.75 dollars
  2. 2r = 290 ÷ (250 ÷ 0.75) = (0.75 × 290)/250
  3. 3r = 0.87

Answer0.87

Part (ci) · 2 marks

Find the deposit when 3 people each pay $420 and the deposit is 20% of the total cost.

  1. 1Total cost = 420 × 3 = $1260
  2. 2Deposit = 20/100 × 1260 = $252

Answer252

Part (cii) · 3 marks

Find the full price per day for 8 days of parking costing $85.68 after a 15% early-booking reduction.

  1. 185.68 is (100 − 15)% = 85% of the full price
  2. 2Full price for 8 days = 85.68 ÷ 0.85 = $100.80
  3. 3Full price for 1 day = 100.80 ÷ 8 = $12.60

Answer12.60

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