Limits of accuracy: past paper questions

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• Question 21May/June 2026, paper 42Structured3 marks

  The volume of a solid metal cuboid is $22{\text{ cm}}^3$, correct to the nearest ${\text{cm}}^3$. The mass of the metal cuboid is 140 grams, correct to the nearest 10 grams. Calculate the lower bound of the density of the metal.

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• Question 9Oct/Nov 2025, paper 21Structured2 marks

  Nina walks at an average speed of $5\text{ km/h}$, correct to the nearest $\text{km/h}$. She walks for exactly 2 hours. Work out the lower bound for the distance Nina walks.

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• Question 24Oct/Nov 2024, paper 23Structured3 marks

  A rectangle has an area of $150{\text{ m}}^2$, correct to the nearest square metre. The length of the rectangle is $22\text{ m}$, correct to the nearest metre. Calculate the upper bound of the width of the rectangle.

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• Question 16Oct/Nov 2023, paper 21Structured3 marks

  $P=2w+2h$ $w=11$ and $h=9.5$, both correct to 2 significant figures. Find the lower bound and the upper bound for $P$.

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• Question 16May/June 2026, paper 43Structured2 marksHas a diagram

  A rectangle measures $4.2\text{ cm}$ by $6.8\text{ cm}$. Each measurement is given correct to the nearest millimetre. Calculate the lower bound of the area of the rectangle.

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• Question 20Oct/Nov 2025, paper 42Structured3 marks

  A solid metal prism has a mass of $4810\text{ g}$, correct to the nearest $10\text{ g}$. The density of the metal is $7.7{\text{ g/cm}}^3$, correct to 1 decimal place. Calculate the lower bound for the volume of the prism.

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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 20Oct/Nov 2023, paper 22Structured3 marks

  The area of a rectangle is $55.2{\text{ cm}}^2$, correct to 1 decimal place. The length of the rectangle is $9\text{ cm}$, correct to the nearest cm. Calculate the upper bound of the width of the rectangle.

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• Question 25Oct/Nov 2025, paper 43Structured3 marks

  Jenna has a length of wire measuring $68\text{ cm}$, correct to the nearest $\text{cm}$.

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• Question 7Oct/Nov 2024, paper 42Structured20 marksHas a diagram

  The diagram shows a field, $ABCD$ with $B$ north of $A$. $BD$ is a path across the field. $AB=85\text{ m}$, $AD=72\text{ m}$, $BD=129\text{ m}$, angle $BDC={39}^{\circ }$ and angle $BCD={60}^{\circ }$.

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• Question 1Oct/Nov 2023, paper 43Structured12 marks

  The table shows the amount received when exchanging 100 in some countries.

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• Question 22May/June 2025, paper 41Structured3 marks

  $$I=\frac{V}{R}$$ $V$ is 50, correct to the nearest 10. $R$ is 13, correct to the nearest integer. Calculate the upper bound of $I$.

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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 23May/June 2023, paper 23Structured4 marks

  A train travels between two stations. The distance between the stations is $220\text{ km}$, correct to the nearest kilometre. The speed of the train is $125\text{ km/h}$, correct to the nearest $5\text{ km/h}$.

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• Question 12May/June 2025, paper 42Structured2 marks

  The length of a rectangle is $16\text{ cm}$, correct to the nearest centimetre. The width of the rectangle is $14\text{ cm}$, correct to the nearest centimetre. Calculate the lower bound of the perimeter of the rectangle.

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• Question 1May/June 2024, paper 42Structured12 marksHas a diagram

  A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.

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• Question 3May/June 2023, paper 41Structured13 marks

  The table shows information about the mass of each of 1000 eggs.

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• Question 22May/June 2025, paper 43Structured4 marks

  A metal cube has mass $14.2\text{ g}$, correct to 1 decimal place. Find the lower bound of the mass of the cube.

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• Question 7May/June 2024, paper 43Structured11 marks

  A car travels $50\text{ km}$ at an average speed of $75\text{ km/h}$. Find the time taken.

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• Question 10May/June 2023, paper 42Structured8 marksHas a diagram

  $ABCDEFGH$ is a cuboid with a square base of side $x\text{ cm}$. $CG=20\text{ cm}$ and $AG=28\text{ cm}$. Calculate the value of $x$.

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