Complex Numbers


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Complex Number Worksheets

Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths.




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FP1 Complex Numbers (Edexcel Further Pure Maths)
Basics - video on powers of i

Complex Numbers: Addition, Subtraction and Multiplication
Example:
z1 = 3 + 2i
z2 = 4 - 3i
Find:

  1. z1 + z2
  2. z1 - z2
  3. 5z1
  4. i2
  5. z1z2
    Expand the following:
  6. i3
  7. i4
  8. 2i8 - (3i)2
  9. (3 - 2i)4

FP1 Edexcel January 2013 Q2
Example:
z = 50/(3 + 4i)
Find in the form ai + b where a,b ∈ ℝ,
(a) z
(b) z2
Find
(c) |z|
(d) arg z2, giving your answer in degrees to 1 decimal place.




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