Complex Numbers and Their Operations
Math ⇒ Number and Operations
Complex Numbers and Their Operations starts at 11 and continues till grade 12.
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See sample questions for grade 11
Add the complex numbers (3 + 4i) and (2 - 7i).
Divide (6 + 8i) by (2 + 2i).
Express the complex number 1 - i in polar form (r(cos θ + i sin θ)).
Express the complex number -2 in polar form.
Express the complex number 2 in the form a + bi.
If i is the imaginary unit, what is the value of i2?
If z = 1 - i, what is z3?
If z = 1 + 2i, what is z2?
Which of the following is a complex number? (1) 3 + 2i (2) 5 (3) -7i (4) All of the above
Which of the following is NOT a complex number? (1) 0 (2) 3i (3) 2 + 0i (4) None of the above
Which of the following is the conjugate of 2 + 5i? (1) 2 - 5i (2) -2 + 5i (3) 2 + 5i (4) -2 - 5i
Which of the following is the correct value of i4? (1) 1 (2) -1 (3) i (4) -i
Fill in the blank: The argument (arg) of the complex number 0 + i is ______ radians.
Fill in the blank: The complex number 0 + 0i is called the ______ complex number.
Fill in the blank: The imaginary part of the complex number 7 + 9i is ______.
Fill in the blank: The modulus of the complex number 3 + 4i is ______.
True or False: Every real number is a complex number with zero imaginary part.
True or False: The imaginary unit i satisfies the equation x2 + 1 = 0.
True or False: The modulus of a complex number is always non-negative.
True or False: The product of a complex number and its conjugate is always a real number.
