pluminth roots and roots of unity: OCR MEI A‑Level Further Maths questions
OCR MEI 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 6 questions on nth roots and roots of unity, as a list
- June 2025, Core Pure, Q9 (10 marks): The figure below shows an Argand diagram with a regular pentagon ABCDE. The point A represents the real number 1. The point B represents the complex number w. I
- June 2023, Core Pure, Q5 (7 marks): (a) In this question you must show detailed reasoning. , expressed in reii form. Determine the sixth roots of 64 [4] - (b) Represent the roots on an Argand diag
- June 2022, Core Pure, Q11 (8 marks): An Argand diagram with the point A representing a complex number z1 is shown below. Im z1 A Re O 2 r and z e 4 r respectively. i i The complex numbers z2 and z3
- November 2021, Core Pure, Q10 (13 marks): (a) Show on an Argand diagram the points representing the three cube roots of unity. [2] 3 - , expressing them in the form reii, where (b) (i) Find the exact ro
- November 2020, Core Pure, Q11 (8 marks): In this question you must show detailed reasoning. In Fig. 11, the points A, B, C, D, E and F represent the complex sixth roots of 64 on an Argand diagram. The
- June 2019, Core Pure, Q10 (8 marks): In this question you must show detailed reasoning. 3 = (a) You are given that - + is a root of the equation 1 i z a b i , where a and b are real numbers. + Find
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