nth roots and roots of unity: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 2.6 nth roots and roots of unity, 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 4 questions on nth roots and roots of unity, as a list
- June 2024, Core Pure 2, Q7 (9 marks): (a) Determine the roots of the equation z 6 = 1 giving your answers in the form e iθ where 0 θ < 2π (2) (b) Show the roots of the equation in part (a) on a si
- June 2023, Core Pure 2, Q5 (9 marks): The points representing the complex numbers z1 = 35 – 25i and z2 = –29 + 39i are opposite vertices of a regular hexagon, H, in the complex plane. The centre of
- November 2021, Core Pure 2, Q8 (11 marks): (i) The point P is one vertex of a regular pentagon in an Argand diagram. The centre of the pentagon is at the origin. Given that P represents the complex numbe
- June 2019, Core Pure 2, Q6 (9 marks): In an Argand diagram, the points A, B and C are the vertices of an equilateral triangle with its centre at the origin. The point A represents the complex number
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