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Private Test 1 G10

Total questions: 20

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
2.

3+√-4

a)

1

b)

3-2i

c)

5

d)

3+2i

3.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
4.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
5.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

6.

(-5 + 10i)(-5 - 10i) = 125

a)

True

b)

False

7.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
8.
Simplify   i23
a)
i
b)
-1
c)
1
d)
-i
9.
What is the complex conjugate of  4-3i?
a)
A.  1/(4-3i)
b)
B. 1/(4+3i)
c)
C.  -4 + 3i
d)
D.  4 + 3i
10.

√-4

a)

-2

b)

-2i

c)

2

d)

2i

11.

Which of the following is a quadrantal angle?

a)

-180o

b)

91o

c)

45o

d)

108o

12.
In which quadrant would you find an angle measuring  -700°?
a)
1
b)
2
c)
3
d)
4
13.

Find an equivalent angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

14.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

15.

What are the negative and positive coterminal angles of 240°?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

16.
What is 30° in radians?
a)
1/6
b)
π/6
c)
1/7
d)
π/7
17.
What is 135° in radians?
a)
3/4
b)
3π/4
c)
3/5
d)
3π/5
18.

What is 11π/12 in degrees?

a)

164

b)

165

c)

162

d)

163

19.
When the rotation from initial to terminal side is counterclockwise this describes. 
a)
Positive Angle
b)
Negative Angle
20.
Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 12 m.
a)
8.38 m
b)
480 m
c)
3.3 m
d)
10.2 m