plumiNewton-Raphson method: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 9.3 Newton-Raphson method, 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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All 5 questions on Newton-Raphson method, as a list
- 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
- 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
- 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
- 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
- Summer 2018, Unit 3, Q17 (6 marks): By drawing suitable graphs, show that x – 1 = cosx has only one root. Starting with 1 7 x0 = 1, use the Newton-Raphson method to find the value of this root cor
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