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O-LevelMathematicsNumber4024/22 · Oct/Nov 2024 · Q48 Marks

Anya buys 4 shirts and 3 hats. She pays $100 and receives $21.50 in change. Each shirt costs the same amount. Each hat costs $13.50. Work out the cost of one shirt.

  1. (a)Anya buys 4 shirts and 3 hats. She pays $100 and receives $21.50 in change. Each shirt costs the same amount. Each hat costs $13.50. Work out the cost of one shirt.[3]
  2. (b)The exchange rate between dollars ($) and euros (€) is $1 = €0.91 . Anya buys a new camera for $150. She sees the same camera for sale online for €140. Calculate the difference between the price in dollars and the price in euros. Give your answer in dollars, correct to the nearest cent.[2]
  3. (c)Anya invests $600 in a savings account. The account pays compound interest at a rate of r% per year. At the end of 3 years the total interest is $21.86. Calculate the value of r.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [3] 9.5[0]
  2. [M2] for 100 – 21.50 – 3 × 13.50 oe
  3. [M1] for 100 – 21.50 oe or 3 × 13.50 oe
  4. [2] 3.85 cao
  5. [M1] for 140 / 0.91 oe
  6. [M1] for (140 / 0.91) – 150 oe
  7. [3] 1.2[0] nfww
  8. [M2] for 3√(621.86 / 600) oe
  9. [M1] for 600k³ = 600 + 21.86 oe

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 8 marks.
Source
O-Level Mathematics, Oct/Nov 2024 Paper 2 Variant 2, question 4.

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