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Surds: AQA Level 2 Further Maths questions

Every AQA Level 2 Further Maths exam question on 1.3 Surds, 2021–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q6

    June 2025 · Paper 1

    3 marks1.3 Surds
    The whole paper ↗
  2. Q11

    June 2025 · Paper 1

    The whole paper ↗
  3. Q18

    June 2024 · Paper 1

    4 marks1.3 Surds
    The whole paper ↗
  4. Q4

    June 2023 · Paper 1

    The whole paper ↗
  5. Q10

    June 2023 · Paper 1

    4 marks1.3 Surds
    The whole paper ↗
  6. Q10

    June 2022 · Paper 1

    3 marks1.3 Surds
    The whole paper ↗
  7. Q8

    November 2021 · Paper 1

    2 marks1.3 Surds
    The whole paper ↗
  8. Q21

    November 2021 · Paper 1

    The whole paper ↗
  9. Q7

    Specimen · Paper 1

    The whole paper ↗
  10. Q14

    Specimen · Paper 1

    4 marks1.3 Surds
    The whole paper ↗
All 10 questions on Surds, as a list
  1. June 2025, Paper 1, Q6 (3 marks): Simplify fully − 75 27 48 Answer
  2. June 2025, Paper 1, Q11 (4 marks): Solve x3 + 10x2 + 8x = 0 Where appropriate give your answers in surd form. Simplify your answers where possible. Answer
  3. June 2024, Paper 1, Q18 (4 marks): Rationalise the denominator and simplify fully – + 3 5 3 5 3 Answer
  4. June 2023, Paper 1, Q4 (5 marks): S (7, 2) and T (5, –4) are points on a straight line. 4 (a) Work out the gradient of the line. Answer 4 (b) Work out the distance between S and T. Give your ans
  5. June 2023, Paper 1, Q10 (4 marks): Rationalise the denominator and simplify fully 1 5 3 5 + − Answer
  6. June 2022, Paper 1, Q10 (3 marks): Rationalise and simplify fully + 3 3 3 Answer
  7. November 2021, Paper 1, Q8 (2 marks): Simplify ( ) + 3 75 48 writing your answer as an integer. Answer
  8. November 2021, Paper 1, Q21 (5 marks): ABC is a triangle. The perpendicular from A meets BC at D. BC = (6 + 2 7 ) cm Area of triangle ABC = (13 + 3 7 ) cm2 Work out the length, in cm, of AD. Give you
  9. Specimen, Paper 1, Q7 (3 marks): ABCD is a rhombus with side length 8 cm Angle ABC = 60o Work out the area of the rhombus. Give your answer in the form a b cm2 where a and b are integers. A C B
  10. Specimen, Paper 1, Q14 (4 marks): Rationalise and simplify 3 7 3 1 − + Give your answer in the form a b + 3 where a and b are integers. Answer

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