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20 questions and an answer page, sized for A4.

Modulus and argument of complex numbers

Year 12 · Counting & Number · 20 questions

Name
Date
  1. 1.
    What is the modulus |z| of z = 2-2i?
    a)13b)2√2c)√2d)10
  2. 2.
    What is the modulus |z| of z = 2-2i?
    a)10b)2√2c)3d)2
  3. 3.
    What is the modulus |z| of z = 1 + √3i?
    a)5b)2c)3d)√2
  4. 4.
    What is the argument of z = -4+3i, in degrees (−180° < arg ≤ 180°)?
  5. 5.
    What is the modulus |z| of z = -1 + √3i?
    a)√2b)3c)5d)2
  6. 6.
    What is the modulus |z| of z = -4+3i?
    a)3b)√2c)5d)2√2
  7. 7.
    What is the modulus |z| of z = -4+3i?
    a)2√2b)2c)5d)√2
  8. 8.
    What is the argument of z = 1 + √3i, in degrees (−180° < arg ≤ 180°)?
  9. 9.
    What is the modulus |z| of z = -3?
    a)13b)3c)10d)2
  10. 10.
    What is the argument of z = 2-2i, in degrees (−180° < arg ≤ 180°)?
  11. 11.
    What is the modulus |z| of z = 2i?
    a)13b)2c)5d)3
  12. 12.
    What is the modulus |z| of z = -1 + √3i?
    a)2b)10c)√2d)3
  13. 13.
    What is the argument of z = -1 + √3i, in degrees (−180° < arg ≤ 180°)?
  14. 14.
    What is the modulus |z| of z = 2i?
    a)2√2b)√2c)2d)3
  15. 15.
    What is the modulus |z| of z = 4+3i?
    a)√2b)5c)13d)2√2
  16. 16.
    What is the argument of z = -1+i, in degrees (−180° < arg ≤ 180°)?
  17. 17.
    What is the argument of z = 2i, in degrees (−180° < arg ≤ 180°)?
  18. 18.
    What is the modulus |z| of z = 5+12i?
    a)2b)√2c)13d)10
  19. 19.
    What is the argument of z = 6+8i, in degrees (−180° < arg ≤ 180°)?
  20. 20.
    What is the modulus |z| of z = -1+i?
    a)2b)√2c)10d)5

Free maths worksheets and practice: rocketdigits.com/learn/modulus-and-argument-of-complex-numbers

Answers: Modulus and argument of complex numbers

  1. b) 2√2
  2. b) 2√2
  3. b) 2
  4. 143.1
  5. d) 2
  6. c) 5
  7. c) 5
  8. 60
  9. b) 3
  10. -45
  11. b) 2
  12. a) 2
  13. 120
  14. c) 2
  15. b) 5
  16. 135
  17. 90
  18. c) 13
  19. 53.1
  20. b) √2

Free maths worksheets and practice: rocketdigits.com/learn/modulus-and-argument-of-complex-numbers

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