Mathematics A, Further H235: Complex Numbers Topical Past Paper Questions
OCR AS Mathematics A, Further (H235) past-paper questions on Complex Numbers , free. This topic is frequently examined across 4 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
In this question you must show detailed reasoning. You are given that a is a real root of the equation $ x^{4}+x^{3}+3x^{2}-5x=0 $. You are also given that $ a+2+3i $ is one root of the equation $$ z^{4}-2(1+a)z^{3}+(21a-10)z^{2}+(86-80a)z+(285a-195)=0. $$ Determine all possible…
(a) Solve the equation $ \omega + 2 + 7i = 3\omega^{*} - i $. [4] (b) Prove algebraically that, for non-zero z, $ z = -z^{*} $ if and only if z is purely imaginary. [2] (c) The complex numbers z and $ z^{*} $ are represented on an Argand diagram by the points A and B respectively…
In this question you must show detailed reasoning. (a) Solve the equation $ 2z^{2}-10z+25=0 $ giving your answers in the form $ a+bi $. [2] (b) Solve the equation $ 3\omega-2=\mathrm{i}(5+2\omega) $ giving your answer in the form $ a+bi $. [4]
Sign in required
Full Complex Numbers question set, mark schemes and AI worksheets
Log in for the full topic-segregated question set, mark schemes, and AI worksheets built from every Mathematics A, Further past paper. New accounts start with 25 free credits.
Explore all Mathematics A, Further topics
All Mathematics A, Further topics