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O-LevelMathematicsNumber4024/22 · Oct/Nov 2021 · Q112 Marks

Jasmine buys a family holiday to India. Here is some information about the cost. Flights | $700 Hotel | $1550 Total cost | $2250 Jasmine changes $350 into rupees. The exchange rate is $1 = 71.6 rupees. The table shows the number of tourists and the total tourist spending for some countries in 2016. Country | Number of tourists | Total spending in dollars China | 5.93 × 10⁷ | 4.44 x 10¹⁰ India | 1.46 × 10⁷ | 2.31 × 10¹⁰ Kenya | 1.27 × 10⁶ | 1.62 x 10⁹ Madagascar | 2.93 x 10⁵ | 9.13 × 10⁵

  1. (a)(i)In October, Jasmine pays a deposit of 12% of the total cost. She pays the rest of the total cost in December. Calculate the amount she pays in December.[2]
  2. (a)(ii)Find the ratio cost of flights : cost of hotel. Give your answer in its simplest form.[2]
  3. (b)On holiday, she spends 19500 rupees. She changes the rest back to dollars at the same exchange rate. Calculate the amount of money she receives. Give your answer correct to the nearest cent.[3]
  4. (c)(i)Calculate how many more tourists visited India than Kenya in 2016. Give your answer in standard form.[1]
  5. (c)(ii)Calculate the average amount spent per tourist in China in 2016. Give your answer correct to the nearest dollar.[2]
  6. (c)(iii)From 2014 to 2016, the total amount spent by tourists in Madagascar increased by 23.5%. Calculate the amount spent by tourists in Madagascar in 2014.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [2] M1 for 2250 - 12/100 × 2250 oe or B1 for 270 After 0 scored, SC1 for answer 3960
  2. [2] M1 for 700 : 1550 oe After 0 scored, SC1 for answer 31: 14
  3. [3] M2 for 350 - 19500/71.6 oe OR M1 for 350 × 71.6 soi M1 for (their 25060 - 19500)/71.6 oe
  4. [1]
  5. [2] M1 for 4.44×10¹⁰/5.93×10⁷ oe
  6. [2] M1 for (100+23.5)/100 x = 9.13×10⁵ soi

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 12 marks.
Source
O-Level Mathematics, Oct/Nov 2021 Paper 2 Variant 2, question 1.

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