Percentages: past paper questions

Where the questions come from

• Question 2May/June 2026, paper 12Structured2 marks

  Add 63 and 28.

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• Question 9Oct/Nov 2025, paper 11Structured3 marks

  Shade $\frac{3}{4}$ of this grid.

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• Question 9Oct/Nov 2024, paper 11Structured2 marks

  Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year. Calculate the total interest earned during the 3 years. Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year.

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• Question 14Oct/Nov 2025, paper 13Structured3 marks

  Victoria invests $2000 at a rate of 5% per year simple interest. Calculate the value of her investment after 4 years. Victoria invests $2000 at a rate of 5% per year simple interest. Calculate the value of her investment after 4 years.

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• Question 14Oct/Nov 2024, paper 11Structured1 mark

  Write 34 as a percentage of 80.

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• Question 4May/June 2026, paper 31Structured1 mark

  Find 18% of $65. Find 18% of $65.

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• Question 11Oct/Nov 2025, paper 31Structured3 marks

  Naz pays $76.25 per day to hire a car. He hires this car for 7 days. He also pays $146 for fuel. Calculate the total amount Naz pays.

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• Question 16Oct/Nov 2023, paper 12Structured3 marks

  Filip invests $4000 for 3 years at a rate of 2.5% per year simple interest. Calculate the value of his investment at the end of the 3 years. Filip invests $4000 for 3 years at a rate of 2.5% per year simple interest.

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• Question 5May/June 2026, paper 31Structured3 marks

  The bar chart shows the number of each type of book sold in a shop on one day. Work out the percentage of books sold that are cookery.

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• Question 19Oct/Nov 2025, paper 31Structured3 marks

  Jo invests $500 at a rate of 2% per year compound interest. Calculate the amount of interest earned at the end of 7 years. Jo invests $500 at a rate of 2% per year compound interest. Calculate the amount of interest earned at the end of 7 years.

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• Question 16Oct/Nov 2024, paper 12Structured2 marks

  Dana invests $3600 at a rate of 3.8% per year compound interest. Calculate the value of her investment at the end of 5 years. Dana invests $3600 at a rate of 3.8% per year compound interest. Calculate the value of her investment at the end of 5 years.

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• Question 16Oct/Nov 2025, paper 32Structured1 mark

  Find 57% of $128. Find 57% of $128.

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• Question 22Oct/Nov 2024, paper 13Structured2 marks

  Mia invests $1270 for 5 years at a rate of 2.1% per year compound interest. Calculate the value of her investment at the end of the 5 years. Mia invests $1270 for 5 years at a rate of 2.1% per year compound interest.

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• Question 3Oct/Nov 2023, paper 31Structured11 marksHas a diagram

  The bar chart shows the country in which each of 80 students live. How many of these students live in Brazil?

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• Question 22Oct/Nov 2025, paper 32Structured6 marksHas a diagram

  The diagram shows a garden. The garden has a circular pond and the shaded area is grass. The width of the grass area is equal to the diameter of the pond.

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• Question 3Oct/Nov 2024, paper 31Structured12 marksHas a diagram

  Jack does a survey about cycling. The bar chart shows the percentage of people in each age group who use a bicycle. Write down the percentage of people aged 60 to 69 who use a bicycle.

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• Question 7Oct/Nov 2023, paper 32Structured16 marksHas a diagram

  Elize, Lily and Marco start a business. Elize invests $5000. Lily invests $8000.

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• Question 20May/June 2026, paper 32Structured4 marksHas a diagram

  A metal rectangle is 25 cm by 60 cm. 12 circles, each with radius 5 cm, are cut out of the metal. Calculate the percentage of the metal remaining.

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• Question 28Oct/Nov 2025, paper 32Structured5 marks

  Ali invests $2950 in an account paying 12% compound interest. Bob invests $3000 in an account paying 12% simple interest. Show that after 3 years Ali has a larger investment than Bob.

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• Question 5Oct/Nov 2024, paper 31Structured13 marks

  The scatter diagram shows the distance travelled and the cost for each of 12 taxi journeys. 'The scatter diagram shows positive correlation.' Is this statement true or false?

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• Question 1Oct/Nov 2023, paper 33Structured12 marksHas a diagram

  Tom has a restaurant bill.

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• Question 1Oct/Nov 2024, paper 32Structured12 marks

  Onions cost $1.85 per kilogram and potatoes cost $2.34 per kilogram. Sophie buys 2.4 kg of onions and 4.5 kg of potatoes.

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• Question 5Oct/Nov 2023, paper 33Structured12 marksHas a diagram

  Zena records the number of letters she posts on each of 12 days. $$373871065172$$ Write down the mode.

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• Question 1Oct/Nov 2024, paper 33Structured13 marksHas a diagram

  Li has $20. A box of cereal costs $2.29 . Work out the maximum number of boxes of cereal that Li can buy.

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• Question 6Oct/Nov 2024, paper 33Structured13 marksHas a diagram

  The diagram shows a plan of Zak’s garden. Find the perimeter of the garden.

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• Question 23May/June 2025, paper 31Structured2 marks

  The population of an island increases from 18400 to 19780. Calculate the percentage increase.

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• Question 1May/June 2023, paper 32Structured14 marks

  Write the number three hundred thousand and three in figures.

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• Question 5May/June 2025, paper 32Structured1 mark

  A student scores 58 out of 80 in a test. Calculate their percentage score.

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• Question 1May/June 2024, paper 31Structured15 marks

  The cost of a cinema ticket is $6.30 . Work out the total cost of 4 tickets.

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• Question 4May/June 2023, paper 32Structured8 marks

  Fidel gives different amounts of water to some plants. The scatter diagram shows the height (cm) and the amount of water (ml) for each of 15 plants. Plot these two results on the scatter diagram.

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