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4024/22 Oct/Nov 2021, Question 1: Currency Conversions

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 12 marks

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The question, in short

Using holiday cost data for flights and hotel, work out a December payment, a simplified ratio, a currency exchange result, and tourist statistics for several countries.

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

Part (ai) · 2 marks

Find the December payment after a 12% deposit is taken from the $2250 total cost.

  1. 1Deposit = 12/100 × 2250 = 270
  2. 2December = 2250 − 270 = $1980

Answer1980

Part (aii) · 2 marks

Write the ratio of flight cost to hotel cost in simplest form.

  1. 1Flights : hotel = 700 : 1550
  2. 2Divide both by 50: 14 : 31

Answer14 : 31

Part (b) · 3 marks

Convert $350 to rupees at 71.6 rupees per dollar, subtract 19500 rupees spent, convert back, nearest cent.

  1. 1350 × 71.6 = 25 060 rupees
  2. 225 060 − 19 500 = 5560 rupees left
  3. 35560 ÷ 71.6 = 77.653… ≈ $77.65

Answer77.65

Part (ci) · 1 mark

Find how many more tourists India had than Kenya, giving the answer in standard form.

  1. 11.46 × 10⁷ − 1.27 × 10⁶ = 14 600 000 − 1 270 000 = 13 330 000 = 1.333 × 10⁷

Answer1.333 × 10⁷

Part (cii) · 2 marks

Find China's average spending per tourist, correct to the nearest dollar.

  1. 14.44 × 10¹⁰ ÷ 5.93 × 10⁷ = 748.7…
  2. 2≈ $749

Answer749 or 7.49 × 10²

Part (ciii) · 2 marks

Given a 23.5% rise to the 2016 Madagascar spending, find the 2014 amount.

  1. 1123.5% of the 2014 amount = 9.13 × 10⁵
  2. 22014 amount = 9.13 × 10⁵ ÷ 1.235 = 739 271… ≈ $739 000 = 7.39 × 10⁵

Answer739 000 or 7.39 × 10⁵

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Also searched as: 4024/22/O/N/21 · 4024_w21_qp_22 · 4024 w21 22 · question 1.
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