plumiExponential form and de Moivre's theorem: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on B.5 Exponential form and de Moivre's theorem, 2019–2025, 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 Exponential form and de Moivre's theorem, as a list
- June 2025, Paper 2, Q9 (9 marks): (a) It is given that, for the complex number z, = + 1 1 z z Find ( ) Re z [3 marks] 9 (b) Show that the only solutions of the equation = + 3 1 1 w w
- June 2025, Paper 2, Q13 (10 marks): The matrix M is defined by − = 1 3 3 1 M 13 (a) The matrix M represents an anticlockwise rotation about the origin through an angle θ, where 0 ≤
- June 2024, Paper 1, Q2 (1 mark): The complex number z = e iπ 3 Which one of the following is a real number? Circle your answer. [1 mark] _ z4 z5 z6 z7
- June 2023, Paper 2, Q6 (5 marks): (a) Express −5 − 5i in the form reiy, where −p < y × p [2 marks] 6 (b) The point on an Argand diagram that represents −5 − 5i is one of the vertices of an equil
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