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O-LevelMathematicsNumber4024/21 · Oct/Nov 2019 · Q114 Marks

Neema travels on a business trip.

  1. (a)The total cost of her flight is $406 including tax. The cost of the flight excluding tax is $350. Calculate the tax as a percentage of $350.[2]
  2. (b)Neema takes a suitcase with mass 15.5kg, correct to the nearest 0.5 kg. She also takes 6 packets each with mass 1.2kg, correct to the nearest 0.1 kg. She has a luggage limit of exactly 23 kg for the flight. Can Neema be certain that the mass of her luggage is below the limit? Show how you decide.[2]
  3. (c)Neema changes $245 to euros (€) for the trip. The exchange rate is $1 = €0.73. On the trip she spends €124. When she returns, she changes the remaining euros back to dollars at a rate of $1 = €0.76. Calculate the amount of money she receives. Give your answer correct to the nearest dollar.[3]
  4. (d)On her next trip, Neema hires a car. She drives a total of 657 km in the car. The car uses fuel at a rate of 4.3 litres per 100 km driven. Neema pays $1.29 per litre of fuel. Calculate the amount she spends on fuel during the trip.[3]
  5. (e)Neema stays in a hotel for 7 nights. This is her hotel bill. Item Cost 7 nights at $.................. per night $805 4 dinners at $.................. each $. ................... Total before tax $. ................... Total including tax at 6.5% $996.84 Complete the missing values in the hotel bill.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [2] 16 M1 for (406-350)/350 [x100] or 406/350 x100 After 0 scored, SC1 for answer 84
  2. [2] No, maximum possible mass is 23.25 kg B1 for 15.5 + 0.25 or 1.2 + 0.05 used or M1 for their 15.75 +6 × their 1.25
  3. [3] 72[.00] final answer M1 for 245 × 0.73 M1 for (their 178.85-124) / 0.76 oe
  4. [3] 36.44 M1 for 657/100 x 4.3 M1 for their 28.251×1.29
  5. [4] 115 32.75 936 996.84 B1 for 115 M1 for 100+6.5/100 x = 996.84 soi A1 for 936 B1FT for 32.75 or dinner cost = (their 936 – 805) ÷ 4

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 14 marks.
Source
O-Level Mathematics, Oct/Nov 2019 Paper 2 Variant 1, question 1.

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