Percentages: past paper questions

Where the questions come from

• Question 1May/June 2026, paper 23Structured2 marks

  Write $30 as a percentage of $120.

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• Question 23Oct/Nov 2024, paper 22Structured3 marksHas a diagram

  The small box is mathematically similar to the large box. The volume of the large box is $72.8\mathrm{\%}$ greater than the volume of the small box. The small box has length $3.5\text{ cm}$ and the large box has length $x\text{ cm}$.

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• Question 4Oct/Nov 2023, paper 23Structured2 marks

  Shubhu invests $750 in a savings account for 5 years. The account pays simple interest at a rate of 1.8% per year. Calculate the total interest she earns during the 5 years. Shubhu invests $750 in a savings account for 5 years.

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• Question 11Oct/Nov 2025, paper 41Structured4 marks

  In a sale, the prices of coats are reduced by 15%.

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• Question 4Oct/Nov 2024, paper 41Structured17 marks

  Enzo, Rashid and Blessy each swim as many lengths of a swimming pool as they can in 15 minutes. The results are shown in the table.

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• Question 12Oct/Nov 2023, paper 23Structured3 marks

  Oliver sent 22% more messages in June than in May. He sent 305 messages in June. Find how many more messages he sent in June than in May.

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• Question 10May/June 2026, paper 42Structured4 marks

  Yasmin collects coins. $10\mathrm{\%}$ of her coins are gold. $25\mathrm{\%}$ of the remaining coins are silver.

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• Question 1Oct/Nov 2024, paper 42Structured12 marks

  Anvi buys a new car. The price of the car is $28240$. She is given a 7.5% discount.

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• Question 18Oct/Nov 2023, paper 23Structured3 marks

  $F$ is proportional to the product of $m$ and $a$. Calculate the percentage change in $F$ when $m$ is increased by 40% and $a$ is decreased by 15%.

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• Question 4Oct/Nov 2025, paper 42Structured4 marks

  Pedro makes cards. He makes cards at a rate of 9 cards every 20 minutes. Work out the number of cards he makes in 8 hours.

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• Question 1Oct/Nov 2024, paper 43Structured9 marks

  Dinari sells fruit and vegetables. One day the mass of fruit and vegetables he sells is in the ratio $\text{fruit}:\text{vegetables}=9:8$. He sells $48\text{ kg}$ of vegetables.

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• Question 3Oct/Nov 2023, paper 41Structured14 marks

  The table shows information about some of the planets in the solar system.

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• Question 3Oct/Nov 2023, paper 42Structured15 marks

  The value of Priya's car decreases by 10% every year.

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• Question 21Oct/Nov 2025, paper 43Structured4 marksHas a diagram

  A dressmaker takes 75 hours to make 31 dresses. In week 1, she takes a total of 12 hours 30 minutes to make the first 4 dresses. In week 2, she makes the remaining 27 dresses at a constant hourly rate.

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• Question 2Oct/Nov 2023, paper 43Structured11 marksHas a diagram

  The table shows the number of each type of bird seen in a garden on Monday.

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• Question 8May/June 2025, paper 41Structured4 marks

  Hadi buys a dishwasher.

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• Question 1May/June 2023, paper 41Structured13 marks

  An orchard has 1250 trees. The trees are in the ratio $\text{apple}:\text{pear}:\text{cherry}=12:9:4$. Calculate the number of apple trees.

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• Question 9May/June 2025, paper 41Structured2 marks

  In a sale, the original price of a sewing machine is reduced by $38. This is an 8% reduction in the original price. Work out the original price of the sewing machine. In a sale, the original price of a sewing machine is reduced by $38.

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• Question 11May/June 2025, paper 42Structured2 marks

  In a sale, the original price of a shirt is reduced by 15%.

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• Question 1May/June 2024, paper 41Structured15 marks

  The table shows the areas, in ${\mathrm{k}\mathrm{m}}^2$, of the four largest rainforests in the world.

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• Question 1May/June 2023, paper 43Structured11 marks

  Tomas sells a computer, a bike and a phone. The amounts he receives are in the ratio computer : bike : phone = 14 : 17 : 9. Calculate the amount he receives for the phone as a percentage of the total.

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• Question 1May/June 2024, paper 43Structured13 marks

  In 2023 a football club had 50 adult members and 70 child members. The membership fee for an adult was $40 and the membership fee for a child was $15. Calculate the total of the membership fees received by the club in 2023.

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