Free Printable Modulus and Conjugate of Complex Nombers

1.

What is the conjugate of -2+5i?

a)

-5+2i

b)

-2-5i

c)

2+5i

d)

5-2i

2.

Simplify: (4+2i)/(3-i)

a)

1-i

b)

1+i

c)

10+10i

d)

1+10i

3.

What is the Modulus in a complex number $1\ +\ i\sqrt{3}$

a)

2

b)

4

c)

45 degrees

d)

60 degrees

4.

Find the sum of the complex number (2 + 3i) + (5 - 3i).

a)

7 + 0i

b)

7 + 6i

c)

1 + 11i

d)

11 - i

5.

What is the simplified form of (8 -3i)²?

a)

55 + 48i

b)

73

c)

16 - 6i

d)

55 - 48i

6.

Find the magnitude of z = - 4 + 2i

a)

$2\sqrt{5}$

b)

$-2\sqrt{5}$

c)

$5\sqrt{2}$

d)

$-5\sqrt{2}$

7.

Find the right Argand's Diagram for z = 4 - 8i

a)

b)

c)

d)

8.

What is the conjugate of -2+5i?

a)

-5+2i

b)

-2-5i

c)

2+5i

d)

5-2i

9.

Is the following statement true or false?

Any complex number is either real or pure imaginary.

a)

True

b)

False

10.

i⁶⁶

a)

1

b)

i

c)

-1

d)

-i

11.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

12.

$i^2+3i^5+7$

a)

$6+3i$

b)

$6-3i$

c)

$-6+3i$

d)

$-6-3i$

13.

$\left(5-8i\right)\left(1-i\right)$

a)

$5-8i$

b)

$-3+13i$

c)

$-3-13i$

d)

$3+13i$

14.

$\left(3-i\right)^2$

a)

$-8+6i$

b)

$6-6i$

c)

$8-6i$

d)

$-8-6i$

15.

Simplify i³⁷

a)

1

b)

i

c)

-i

d)

-1

16.

$3+3i+8-2i-7$

(a)

17.

$4i\left(-2-8i\right)$

(a)

18.

$\left(1-7i\right)^2$

(a)

19.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

20.

Rationalize and Simplify.

a)

b)

c)

d)

21.

What is the simplified form of the above?

a)

7/10 + 11/10 i

b)

13/10 +1/10 i

c)

5/4 - 3/2i

d)

7/10 - 11/10 i

22.

a)

A

b)

B

c)

C

d)

D

23.

Rationalize and Simplify.

a)

b)

c)

d)

24.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

25.

The value of (1+i)(1+i²)(1+i³)(1+i⁴) is

a)

2

b)

0

c)

1

d)

i

26.

If a = 1+i, then a²equals

a)

1 - i

b)

2i

c)

(1 + i) (1 - i)

d)

i - 1

27.

If z = $\frac{1}{\left(2+3i\right)^2}$ , then |z|

a)

$\frac{1}{13}$

b)

$\frac{1}{5}$

c)

$\frac{1}{12}$

d)

None of these

28.

If z = $\frac{1}{\left(1-i\right)\left(2+3i\right)}$ , then |z|

a)

1

b)

1/ $\sqrt{26}$

c)

5/ $\sqrt{26}$

d)

None of these

29.

The value of (i⁵+ i⁶+ i⁷+ i⁸+ i⁹) / (1 + i)

a)

$\frac{1}{2}$ (1+i)

b)

$\frac{1}{2}$ (1-i)

c)

1

d)

$\frac{1}{2}$

30.

$\frac{1+2i+3i^2}{1-2i+3i^2}$

a)

i

b)

-1

c)

-i

d)

4

Modulus and Conjugate of Complex Nombers

Total questions: 30

Worksheet time: 2hrs 30mins

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