Types of number: past paper questions

Where the questions come from

• 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 9Oct/Nov 2023, paper 21Structured2 marks

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

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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 1Oct/Nov 2024, paper 23Structured2 marks

  61 62 63 64 65 66 67 68 69 From the list of numbers, write down a cube number

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• Question 6Oct/Nov 2023, paper 22Structured2 marks

  Explain why 111 is not a prime number.

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• Question 6May/June 2026, paper 23Structured3 marks

  A red light flashes every 20 minutes. A blue light flashes every 35 minutes. The two lights flash together at 1000.

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• Question 1Oct/Nov 2024, paper 41Structured19 marks

  Write 70 as a product of its prime factors.

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• Question 9Oct/Nov 2023, paper 22Structured2 marks

  Write 90 as a product of its prime factors.

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• Question 2Oct/Nov 2025, paper 23Structured1 mark

  Find the largest odd number that is a common factor of 90 and 120.

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• Question 4May/June 2024, paper 21Structured2 marks

  Find the greatest odd number that is a factor of 140 and a factor of 210.

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• Question 16Oct/Nov 2023, paper 22Structured2 marks

  Find the lowest common multiple (LCM) of $12x^8$ and $8x^{12}$.

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• Question 7Oct/Nov 2025, paper 23Structured3 marks

  The sum of all the prime numbers less than 10 is equal to 17. Find the sum of all the prime numbers less than 16.

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• Question 1May/June 2024, paper 22Structured1 mark

  The temperature at midnight is $-4{}^{\circ }\mathrm{C}$. The temperature at noon is $25{}^{\circ }\mathrm{C}$. Work out the difference between these two temperatures.

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• Question 2Oct/Nov 2023, paper 23Structured2 marks

  61 63 64 66 68 69 From this list, write down a cube number

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• Question 8May/June 2025, paper 22Structured2 marks

  Find the highest common factor (HCF) of 36 and 54.

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• Question 1May/June 2024, paper 23Structured1 mark

  Write the number two million two thousand and two in figures.

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• Question 8Oct/Nov 2023, paper 23Structured2 marks

  Find the highest common factor (HCF) of 48 and 80.

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• Question 8May/June 2025, paper 23Structured4 marks

  Write 42 as a product of its prime factors.

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• Question 2May/June 2023, paper 22Structured2 marks

  There are two prime numbers in this list. 27 47 57 61 75 93 Work out the sum of these two prime numbers.

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• Question 14May/June 2025, paper 23Structured2 marks

  Find the lowest common multiple (LCM) of $15x{y}^3$ and $18x^{4}y$.

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• Question 10May/June 2025, paper 41Structured6 marks

  Write down all the factors of 18.

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