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Locating roots by change of sign: WJEC A‑Level Maths questions

WJEC A-Level Maths past-paper questions on 9.1 Locating roots by change of sign, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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314 questions

  1. Q6

    Summer 2025 · Unit 3

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  2. Q1

    Summer 2024 · Unit 3

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  3. Q8

    Summer 2024 · Unit 3

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  4. Q4

    Summer 2023 · Unit 3

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  5. Q12

    Summer 2019 · Unit 3

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All 5 questions on Locating roots by change of sign, as a list
  1. Summer 2025, Unit 3, Q6 (8 marks): ex y  6. The diagram below shows a sketch of the curve with equation and the straight line with y  3 x equation . y x O The straight line intersects the curve
  2. Summer 2024, Unit 3, Q1 (11 marks): 1. The function f is given by 25 32 x   . f x      2 5 1 2 x  x  x  Express  f x in terms of partial fractions. (a) [4] 2   f x d x  ln P (b
  3. Summer 2024, Unit 3, Q8 (7 marks): 8. The function f is defined by  3 4 2 3 1 f x  x  x  x  .  f x  0 (a) Show that the equation has a root in the interval [0, 1]. [1] x  0 8  , (b) Us
  4. Summer 2023, Unit 3, Q4 (8 marks): ( ) is defined by  3 2 f x  6 x  35 x  7 x  6 −∞,∞ 0 4 A function f with domain . ( ) = 0 in the interval [–1, 1]. [2] a) Determine the number of roots of
  5. Summer 2019, Unit 3, Q12 (10 marks): A chord AB subtends an angle θ radians at the centre of a circle. The chord divides the 1 2 circle into two segments whose areas are in the ratio 1 : 2. B A θ O

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