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O-LevelMathematicsNumber4024/22 · Oct/Nov 2022 · Q111 Marks

Hala travels from London to Marseille by train. She must change trains in Paris. The journey from London to Paris takes 2 hours 28 minutes. The journey from Paris to Marseille takes 3 hours 30 minutes. The local time in Marseille and in Paris is 1 hour ahead of the local time in London.

  1. (a)(i)Complete the timetable for Hala's journey. Local time London depart Paris arrive Local time Paris depart 1931 1650 Marseille arrive[2]
  2. (a)(ii)Work out how long Hala waits in Paris before the train to Marseille departs.[1]
  3. (b)The exchange rate between dollars ($) and pounds (£) is $1 = £0.75 . The exchange rate between dollars ($) and euros (€) is $1 = €r. Hala changes £250 into euros. She receives €290. Calculate the value of r.[3]
  4. (c)(i)Josef books a holiday for 3 people. The holiday costs $420 per person. Josef pays a deposit of 20% of the total cost of the holiday. Calculate the amount Josef pays as the deposit.[2]
  5. (c)(ii)Josef pays a total of $85.68 for airport parking for 8 days. This price includes a reduction of 15% of the full price for booking early. Calculate the full price for airport parking for 1 day.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [2] B1 for each
  2. [1]
  3. [3] M2 for 0.75 × 290 / 250 oe or M1 for 290 / 250 oe seen or 250 / 0.75 oe seen or r = 0.75 × 250 / 290 oe
  4. [2] M1 for 420 × 3 × 20 / 100 oe or B1 for 84 seen or 252 seen
  5. [3] B2 for answer 100.8[0] or M2 for 85.68 / 8 × 100 / (100 - 15) oe or M1 for (100 - 15) / 100 x = 85.68 [÷8] soi

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 11 marks.
Source
O-Level Mathematics, Oct/Nov 2022 Paper 2 Variant 2, question 1.

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