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O-LevelMathematicsNumber4024/21 · Oct/Nov 2020 · Q19 Marks

Here is some information about a holiday. 7-night holiday $340 per person 8% discount if you book before 31 March On 15 February, Naseem books this holiday for 2 people. Calculate the total cost of his holiday.

  1. (a)Here is some information about a holiday. 7-night holiday $340 per person 8% discount if you book before 31 March On 15 February, Naseem books this holiday for 2 people. Calculate the total cost of his holiday.[2]
  2. (b)Naseem hires a car for his holiday. The total cost is $241.50. This cost includes 15% tax. Calculate the cost of hiring the car excluding tax.[2]
  3. (c)Naseem drives a total of 800 km on holiday. He uses a total of 29.6 litres of fuel. Calculate the average rate of fuel used in litres per 100 km.[2]
  4. (d)Naseem changes $450 to euros (€) for his holiday. The exchange rate between dollars and euros is $1 = €0.82 . On holiday, he spends €297. Naseem changes the remaining money back to dollars when he returns home. The exchange rate is now $1 = €0.80 . Work out how many dollars he receives.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.

  1. [2] M1 for [2x] 340 × 0.92 oe or B1 for 54.4[0] in working
  2. [2] M1 for 100/(100+15) x=241.50 soi
  3. [2] B1 for answer figs 37 or M1 for 29.6/800 ×100 oe
  4. [3] M1 for 450 × 0.82 soi M1 for [their 369-]297 / 0.80 oe

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 9 marks.
Source
O-Level Mathematics, Oct/Nov 2020 Paper 2 Variant 1, question 1.

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