Number: past paper questions

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• Question 1May/June 2026, paper 21Structured1 mark

  Write down the value of ${143}^0$.

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• Question 1Oct/Nov 2025, paper 21Structured2 marks

  Divide $90 in the ratio 2 : 3. Divide $90 in the ratio 2 : 3.

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• Question 1Oct/Nov 2024, paper 21Structured1 mark

  A concert starts at 1950 and finishes 2 hours 42 minutes later. Work out the time the concert finishes.

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• Question 4Oct/Nov 2023, paper 21Structured3 marks

  The table shows some information about Amir’s shopping. Complete the table.

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• Question 6Oct/Nov 2025, paper 21Structured3 marks

  Find the value of $5^{-5}\times 5^5$

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• Question 2Oct/Nov 2024, paper 21Structured1 mark

  Find the reciprocal of $1\frac{1}{4}$.

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• Question 7Oct/Nov 2023, paper 21Structured1 mark

  The exchange rate between Singapore dollars and euros is $1\text{ Singapore dollar}=0.62\text{ euros}$. Find the value of $161.20\text{ euros}$ in Singapore dollars.

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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 3Oct/Nov 2024, paper 21Structured2 marks

  Use one of the symbols $<$, $>$ or $=$ to make each statement true.

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• Question 8Oct/Nov 2023, paper 21Structured1 mark

  Calculate. $$7\frac{3}{11}\times 3\frac{3}{10}$$ Calculate.

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• Question 9Oct/Nov 2023, paper 21Structured2 marks

  Find the highest common factor (HCF) of 140 and 126.

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• Question 19May/June 2026, paper 21Structured2 marks

  $710000.03=(7.1\times {10}^a)+(3\times {10}^b)$ Find the value of $a$ and the value of $b$.

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• Question 8Oct/Nov 2024, paper 21Structured2 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 at the end of 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 10Oct/Nov 2023, paper 21Structured5 marks

  Simplify. $n^5\times n$

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• Question 26May/June 2026, paper 21Structured7 marks

  Expand and simplify.

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• Question 15Oct/Nov 2025, paper 21Structured3 marksHas a diagram

  Write 66000 in standard form.

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• Question 11Oct/Nov 2024, paper 21Structured3 marks

  Without using a calculator, work out $5\frac{1}{3}-3\frac{4}{7}$.

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• Question 3May/June 2026, paper 22Structured2 marks

  Find the reciprocal of $3\frac{1}{3}$.

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• Question 21Oct/Nov 2025, paper 21Structured4 marks

  $(3-\sqrt{5})(2+3\sqrt{5})=a+b\sqrt{5}$ Find the value of $a$ and the value of $b$.

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• Question 14Oct/Nov 2024, paper 21Structured4 marks

  Two solid steel statues are mathematically similar. The smaller statue has height $12\text{ cm}$ and the larger statue has height $15\text{ cm}$. The larger statue has a mass $2.5\text{ kg}$.

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• Question 13Oct/Nov 2023, paper 21Structured3 marks

  At the end of 2021 there were $27000$ rhinos living in the wild. The number of rhinos is expected to decrease exponentially by $3\mathrm{\%}$ each year. Work out the number of rhinos expected to be living in the wild 4 years later, at the end of 2025.

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• Question 4May/June 2026, paper 22Structured2 marks

  Work out $\frac{1}{6}÷\frac{2}{7}$.

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• Question 1Oct/Nov 2025, paper 22Structured1 mark

  The temperature at 4 am is $-{12}^{\circ }\mathrm{C}$. The temperature at 4 pm is ${21}^{\circ }\mathrm{C}$. Find the increase in temperature from 4 am to 4 pm.

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• Question 9May/June 2026, paper 22Structured6 marks

  Write 63 as a product of its prime factors.

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• Question 2Oct/Nov 2025, paper 22Structured1 mark

  Find all the common factors of 8 and 12.

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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 7Oct/Nov 2024, paper 22Structured2 marks

  Without using a calculator, work out $\frac{2}{7}÷\frac{6}{11}$.

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• Question 1Oct/Nov 2023, paper 22Structured2 marks

  Write 24.07839 correct to 2 decimal places

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• Question 16May/June 2026, paper 22Structured2 marks

  The volume of a sphere is $500{\text{ cm}}^3$. Using the approximation of 3 for $\pi$, find an estimate for the radius of the sphere.

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• Question 9Oct/Nov 2025, paper 22Structured3 marks

  Rajid has a full bottle of juice. He drinks $\frac{1}{3}$ of the full bottle on Monday. He drinks $\frac{3}{7}$ of the full bottle on Tuesday.

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