plumiComplex number arithmetic: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 2.1 Complex number arithmetic, 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 Complex number arithmetic, as a list
- June 2025, Core Pure 1, Q3 (5 marks): The complex number z a b i where a and b are real constants. Given that z z* is purely imaginary, (a) show that a b 2 2 = (2) Given also that zz* = 50 (b) deter
- June 2025, Core Pure 2, Q4 (10 marks): (i) z a b 1 i and z c d 2 i where a, b, c and d are real constants. Given that • b d > • z z 1 2 + is real • z1 13 = • z2 5 = • Re z z 2 1 2 show that a = 2 and
- June 2023, AS Core Pure, Q4 (8 marks): (i) (a) Show that 2 3 5 1 i i i k( ) where k is a constant to be determined. (Solutions relying on calculator technology are not acceptable.) (3) Given that • n
- June 2022, Core Pure 1, Q7 (7 marks): Given that z = a + bi is a complex number where a and b are real constants, (a) show that zz* is a real number. (2) Given that • zz* = 18 • z z* = 7 9 + 4 2 9 i
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