A-level · Complex numbers

Complex numbers in Cartesian formExam-style questions

The imaginary unit i with i² = −1, real and imaginary parts, equality of complex numbers, and the four operations in the form a + bi — addition, subtraction, multiplication, and division by realising the denominator with the conjugate.

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17 questions · A Level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Given z1=2+3iz_1 = 2 + 3i and z2=4−iz_2 = 4 - i, find
    (a) z1+z2z_1 + z_2, (1 mark)
    (b) z1−z2z_1 - z_2. (1 mark)
    Level 1 · 2 marksTry it