Limits of accuracy: past paper questions

Where the questions come from

• Question 20May/June 2026, paper 22Structured3 marks

  The area of a rectangle is $69.5{\text{ m}}^2$, correct to the nearest $0.5{\text{ m}}^2$. The width of the rectangle is $3.8\text{ m}$, correct to the nearest $0.1\text{ m}$. Calculate the upper bound of the length of the rectangle.

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• Question 4Oct/Nov 2025, paper 12Structured2 marks

  Petra thinks of a number. The number is a multiple of 7. Petra says: When I write my number correct to the nearest ten it is 30.

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• Question 23Oct/Nov 2024, paper 11Structured2 marks

  A rectangle has length $32\mathrm{c}\mathrm{m}$ and width $15\mathrm{c}\mathrm{m}$. Each measurement is given correct to the nearest centimetre. Write down the upper bound for the length.

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• Question 5Oct/Nov 2023, paper 21Structured11 marksHas a diagram

  This is part of a bus timetable.

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• Question 19Oct/Nov 2025, paper 21Structured3 marks

  A car travels 320 km, correct to the nearest 10 kilometres. This journey takes 5.2 hours, correct to the nearest 0.1 hour. Calculate the lower bound for the average speed of the car.

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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 10Oct/Nov 2023, paper 22Structured12 marksHas a diagram

  [Volume of a cone $=\frac{1}{3}\pi r^{2}h$] [Curved surface area of a cone $=\pi rl$] A solid is formed from a large cone with a small cone removed from the centre. The small cone is mathematically similar to the large cone.

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• Question 15Oct/Nov 2025, paper 22Structured4 marks

  The mass of a bag of potatoes is $2.5\text{ kg}$, correct to the nearest $0.1\text{ kg}$. Write down the upper bound and the lower bound for the mass of a bag of potatoes.

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• Question 19May/June 2024, paper 12Structured3 marks

  The mass of a bag of almonds is $125\mathrm{g}$, correct to the nearest gram. Write down the lower bound of the mass of the bag of almonds.

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• Question 23May/June 2023, paper 11Structured4 marks

  The attendance at a cricket match is $36000$ correct to the nearest thousand. Write down the minimum number of people at the cricket match.

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• Question 23May/June 2025, paper 22Structured3 marks

  Zara cycles a distance of 500 metres, correct to the nearest 5 metres. This takes 24.7 seconds, correct to the nearest 0.1 seconds. Calculate the lower bound of her average speed.

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• Question 5May/June 2024, paper 21Structured7 marks

  Two companies move boxes. Company $A$ charges $0.50 for each box plus a fixed fee of $125.

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• Question 6May/June 2023, paper 22Structured8 marks

  Sophia takes part in the Trio Challenge. She walks, then cycles and then swims. Trio Challenge Walk 6.3 km Cycle 3000 m Swim 1800 m Write these distances $\text{walk}:\text{cycle}:\text{swim}$ as a ratio in its simplest form.

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