1. 1
   A clothing shop is holding a sale in which all prices are reduced by 20%.

   (a)

   A jacket normally costs £65. What is the sale price of the jacket?

   [1 mark]

   • A£52
   • B£45
   • C£58
   • D£13

   (b)

   In the same sale, a pair of jeans normally costs £48. What is the sale price of the jeans?

   [1 mark]

   • A£28.80
   • B£43.20
   • C£9.60
   • D£38.40

   (c)

   A pair of trainers has a sale price of £56, after the 20% reduction has been applied. What was the original price of the trainers before the sale?

   [1 mark]

   • A£67.20
   • B£44.80
   • C£70
   • D£76

   Total for question 1: 3 marks

2. 2
   In September 2023, a secondary school had 800 students enrolled. In September 2024, the school had 872 students enrolled.

   (a)

   Calculate the percentage increase in the number of students from September 2023 to September 2024.

   [2 marks]

   (b)

   The headteacher predicts that student numbers will keep increasing at the same rate of 9% per year, so that by September 2025 there will be 950 students. Use the figures given to determine whether the headteacher's prediction is consistent with an exact 9% increase from 872, and explain your conclusion.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   Priya invests £2400 in a savings account that pays simple interest at a rate of 3% per year. Her brother Ravi invests £2400 in a different savings account that pays compound interest at a rate of 3% per year, compounded annually.

   (a)

   Calculate the total interest Priya earns after 4 years.

   [3 marks]

   (b)

   Show that, after 4 years, the total interest Ravi earns from compound interest is greater than the total interest Priya earns from simple interest.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A car dealership buys a car for £18000. The value of the car depreciates by 15% per year for the first 2 years of ownership, then depreciates by 10% per year for every year after that.

   (a)

   Calculate the value of the car after 2 years of ownership.

   [4 marks]

   (b)

   Show that the value of the car after 4 years of ownership is approximately £10534.

   [4 marks]

   (c)

   The dealership wants to sell the car as soon as its value first falls below 50% of its original price (£9000). By continuing the year-by-year calculation, determine after how many full years of ownership this first happens. Show all your working.

   [5 marks]

   Total for question 4: 13 marks

End of questions