Percentages: past paper questions

Where the questions come from

• Question 3Oct/Nov 2025, paper 11Structured2 marks

  A shirt costs $24. In a sale the cost is reduced by 15%. Work out the cost of the shirt in the sale. A shirt costs $24. In a sale the cost is reduced by 15%. Work out the cost of the shirt in the sale.

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• Question 1Oct/Nov 2023, paper 21Structured12 marks

  The population of a town is 36 400. 23% of the population are aged 18 and under. Work out the number of people in the town aged over 18.

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• Question 18May/June 2026, paper 12Structured5 marksHas a diagram

  The masses of 200 apples are summarised in the table.

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• Question 13Oct/Nov 2025, paper 12Structured4 marks

  Thomas works in a shop. He is paid $12 for each hour he works. He is also paid a bonus of 5% of the value of the items he sells. One day, Thomas works for 5 hours. He is paid a total of $82 including his bonus. Work out the value of the items Thomas sells on this day.

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• Question 1Oct/Nov 2024, paper 21Structured11 marks

  Basma owns a toy shop. The sign shows the opening hours for the shop. Saturday to Wednesday 1030 to 1800 Thursday and Friday 1000 to 1930 Work out the length of time the shop is open in one week.

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• Question 1Oct/Nov 2023, paper 22Structured11 marks

  Idris repairs computers. This is how he calculates the charge for a repair. $56 for the first hour Then $12.25 for each additional 15 minutes Work out the amount Idris charges for a repair that takes him 2 hours.

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• Question 11May/June 2026, paper 22Structured2 marks

  In a sale, a shop reduces all prices by 32%. Before the sale, a dress costs $56. Work out the sale price of the dress. In a sale, a shop reduces all prices by 32%. Before the sale, a dress costs $56. Work out the sale price of the dress.

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• Question 8Oct/Nov 2025, paper 21Structured2 marks

  John invests $240 in an account that pays simple interest at a rate of 2.35% per year. Calculate the total amount of interest he receives at the end of 5 years. John invests $240 in an account that pays simple interest at a rate of 2.35% per year.

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• Question 1Oct/Nov 2024, paper 22Structured11 marks

  These are the contents of a bag of mixed fruit. $$\overline{)\begin{array}{ll}\text{Pineapple}& 96\text{ g}\\ \text{Mango}& 84\text{ g}\\ \text{Papaya}& 60\text{ g}\end{array}}$$ Calculate the mass of mango as a percentage of the total mass of the mixed fruit.

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• Question 5May/June 2023, paper 12Structured2 marks

  Maya invests $480 at a rate of 2% per year simple interest. Calculate the total amount of interest she receives at the end of 5 years. Maya invests $480 at a rate of 2% per year simple interest. Calculate the total amount of interest she receives at the end of 5 years.

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• Question 14May/June 2026, paper 22Structured3 marks

  The population of a village is 1260. The population grows exponentially at a rate of 1.7% per year. Calculate the increase in the population at the end of 3 years.

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• Question 5Oct/Nov 2025, paper 22Structured3 marks

  Sofia invests $400 in a savings account. The account pays simple interest at a rate of 2.8% per year. Calculate the total amount of interest Sofia receives at the end of 3 years.

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• Question 4Oct/Nov 2024, paper 22Structured8 marks

  Anya buys 4 shirts and 3 hats.

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• Question 2May/June 2023, paper 21Structured8 marks

  Filomena starts work at 10.45 am on Monday. She finishes work 2 hours 50 minutes later. Find the time she finishes work on Monday.

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• Question 23Oct/Nov 2025, paper 22Structured5 marksHas a diagram

  The diagram shows a shaded area in a large circle, centre $O$. The radius of the large circle is $10\text{ cm}$. $OAB$ is a sector of a small circle, centre $O$.

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• Question 3May/June 2024, paper 11Structured3 marks

  Work out. $0.3\times 0.02$

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• Question 1May/June 2023, paper 22Structured12 marks

  A shop buys some fruit. The table shows the bill for this fruit.

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• Question 13May/June 2025, paper 12Structured4 marksHas a diagram

  In a sale, a shop reduces all prices by 20%.

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• Question 1May/June 2024, paper 21Structured10 marks

  The cost of a ticket to watch a basketball match is $67.60 . The total money received from ticket sales for one match is $1 183 000. Find the number of tickets sold for this match.

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• Question 8May/June 2024, paper 22Structured15 marksHas a diagram

  [Volume of a cone $=\frac{1}{3}\pi r^{2}h$] [Volume of a sphere $=\frac{4}{3}\pi r^3$] [Curved surface area of cone $=\pi rl$] [Surface area of a sphere $=4\pi r^2$] A solid is formed by placing a cone on top of a hemisphere.

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