Powers and roots: past paper questions

Where the questions come from

• Question 1May/June 2026, paper 12Structured1 mark

  Write down the value of $\sqrt{81}$.

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• Question 17Oct/Nov 2025, paper 11Structured2 marks

  Write down a prime number between 20 and 30.

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• Question 19May/June 2024, paper 11Structured2 marks

  Calculate. $\sqrt[3]{343}-\sqrt{40.96}$

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• Question 4Oct/Nov 2023, paper 11Structured1 mark

  Find the value of $\sqrt[3]{5832}$.

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• Question 10May/June 2026, paper 13Structured2 marks

  $K=2x+\sqrt{y}$ Find the value of $K$ when $x=5$ and $y=169$.

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

  Write down the value of $\sqrt{144}$.

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• Question 3May/June 2024, paper 12Structured1 mark

  Find the value of the reciprocal of 0.4 .

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• Question 1May/June 2023, paper 31Structured14 marks

  Write the number forty thousand and thirty-three in figures.

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• Question 18May/June 2026, paper 13Structured3 marks

  Write down the value of $\sqrt[3]{27}$.

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• Question 6Oct/Nov 2025, paper 13Structured2 marks

  Anna thinks of a number, she multiplies it by 2 and then finds the square root. The answer is 12. What number did Anna think of?

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• Question 1May/June 2024, paper 32Structured10 marks

  6 7 10 12 18 32 49 63 From this list of numbers, write down a factor of 21

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• Question 2May/June 2026, paper 31Structured2 marks

  Write $7\times 7\times 7\times 7\times 7\times 7$ as a power of 7.

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• Question 9Oct/Nov 2025, paper 13Structured2 marks

  Find the value of $2^5$

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• Question 4May/June 2024, paper 33Structured11 marks

  Write down the value of the 8 in the number 39 829.

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• Question 4May/June 2026, paper 32Structured2 marks

  Calculate. $\sqrt[3]{1.728}$

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• Question 5Oct/Nov 2025, paper 31Structured5 marks

  Find the value of $\sqrt{1.96}$

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• Question 7Oct/Nov 2025, paper 32Structured1 mark

  Calculate √361 + 1.

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• Question 13Oct/Nov 2025, paper 32Structured2 marks

  Find the value of 8^5.

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• Question 6Oct/Nov 2025, paper 33Structured2 marks

  Write down the reciprocal of 8.

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• Question 3May/June 2025, paper 12Structured2 marks

  Write down the value of $\sqrt{36}$

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• Question 15May/June 2025, paper 12Structured2 marks

  Beth thinks of a positive number, $n$. She squares $n$ then subtracts 55. The answer is 9.

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• Question 3May/June 2025, paper 13Structured5 marks

  Write down $\sqrt{169}$ .

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• Question 3May/June 2025, paper 31Structured1 mark

  Find the value of $\sqrt{1.96}$.

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• Question 5May/June 2025, paper 33Structured2 marks

  Calculate. $$\frac{{2.8}^5-{0.3}^2}{\sqrt{5}}$$ Give your answer correct to 2 decimal places.

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