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Powers and roots: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on N6 Powers and roots, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q11

    November 2023 · Paper 6

    4 marksG17 Circles, surface area and volumeN6 Powers and roots
    The whole paper ↗
    November 2023 Paper 6, question 11: The diagram shows a cone and a cube. The cone has radius 8 cm and height 10 cm. 10 cm 8 cm The volume of the cone is equal to the volume of the cube. Work out t

  2. Q4

    June 2022 · Paper 5

    3 marksN6 Powers and rootsN7 Laws of indices
    The whole paper ↗
    June 2022 Paper 5, question 4: (a) Complete this statement by writing the missing power in the box. # 72 784 = 2 (b) Use your answer to part (a) to find the value of 784. (b)

  3. Q1

    November 2021 · Paper 4

    4 marksN3 Order of operationsN6 Powers and roots
    The whole paper ↗
    November 2021 Paper 4, question 1: Calculate. 2 3 (a) ( 6 5 ) + (a) 2 2 8 4 . 1 9 . - (b) 2 5 . 5 7 . + Write your answer correct to 3 significant figures. (b)

  4. Q6

    November 2020 · Paper 4

    4 marksG17 Circles, surface area and volumeN6 Powers and roots
    The whole paper ↗
    November 2020 Paper 4, question 6: A cuboid measures 6 cm by 8 cm by 15 cm. A cube has the same volume as the cuboid. Find the surface area of the cube, giving your answer correct to 3 significan

  5. Q3

    November 2017 · Paper 5

    4 marksN6 Powers and rootsN4 Primes, factors and multiples
    The whole paper ↗
    November 2017 Paper 5, question 3: Andrew is thinking of a number. • It is between 1 and 150. • It is one more than a square number. • It is three less than a cube number. • It is not a prime num

  6. Q1

    June 2017 · Paper 4

    4 marksN9 Standard formN6 Powers and roots
    The whole paper ↗
    June 2017 Paper 4, question 1: Calculate. 2 2 4 8 . 3 6 . + (a) 4 (a) 1 (b) 4 3 ( 2 10 ) ( 5 10 ) + # # (b)
All 6 questions on Powers and roots, as a list
  1. November 2023, Paper 6, Q11 (4 marks): The diagram shows a cone and a cube. The cone has radius 8 cm and height 10 cm. 10 cm 8 cm The volume of the cone is equal to the volume of the cube. Work out t
  2. June 2022, Paper 5, Q4 (3 marks): (a) Complete this statement by writing the missing power in the box. # 72 784 = 2 (b) Use your answer to part (a) to find the value of 784. (b)
  3. November 2021, Paper 4, Q1 (4 marks): Calculate. 2 3 (a) ( 6 5 ) + (a) 2 2 8 4 . 1 9 . - (b) 2 5 . 5 7 . + Write your answer correct to 3 significant figures. (b)
  4. November 2020, Paper 4, Q6 (4 marks): A cuboid measures 6 cm by 8 cm by 15 cm. A cube has the same volume as the cuboid. Find the surface area of the cube, giving your answer correct to 3 significan
  5. November 2017, Paper 5, Q3 (4 marks): Andrew is thinking of a number. • It is between 1 and 150. • It is one more than a square number. • It is three less than a cube number. • It is not a prime num
  6. June 2017, Paper 4, Q1 (4 marks): Calculate. 2 2 4 8 . 3 6 . + (a) 4 (a) 1 (b) 4 3 ( 2 10 ) ( 5 10 ) + # # (b)

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