Free Printable Angles and Their Measure Practice

1.

Convert to radians

750\degree

a)

$\frac{133\pi}{36}$

b)

$\frac{25\pi}{6}$

c)

$\frac{40\pi}{9}$

d)

$\frac{47\pi}{12}$

2.

Convert to radians

-315\degree

a)

$-\frac{65\pi}{18}$

b)

$-\frac{65\pi}{18}$

c)

$-\frac{31\pi}{9}$

d)

$-\frac{7\pi}{4}$

3.

Convert to degrees

-\frac{4\pi}{3}

a)

$-240\degree$

b)

$-250\degree$

c)

$-245\degree$

d)

$-460\degree$

4.

Convert to degrees

\frac{11\pi}{9}

a)

$215\degree$

b)

$420\degree$

c)

$220\degree$

d)

$185\degree$

5.

State if the given angles are coterminal.

140\degree,\ -500\degree

a)

Yes

b)

No

6.

State if the given angles are coterminal.

\frac{2\pi}{9},\ -\frac{16\pi}{9}

a)

Yes

b)

No

7.

Find a positive and a negative angle coterminal to

547\degree

a)

$7\degree\ and\ -83\degree$

b)

$277\degree\ and\ -83\degree$

c)

$187\degree\ and\ -173\degree$

d)

$187\degree\ and\ -353\degree$

8.

Find a positive and a negative angle coterminal to

\frac{31\pi}{12}

a)

$\frac{7\pi}{12}\ and\ -\frac{17\pi}{12}$

b)

$\frac{13\pi}{12}\ and\ -\frac{17\pi}{12}$

c)

$\frac{7\pi}{12}\ and\ -\frac{23\pi}{12}$

d)

$\frac{13\pi}{12}\ and\ -\frac{23\pi}{12}$

9.

Find the reference angle for

650\degree

a)

$70\degree$

b)

$75\degree$

c)

$15\degree$

d)

$30\degree$

10.

Find the reference angle for
$-590\degree$

a)

$50\degree$

b)

$30\degree$

c)

$40\degree$

d)

$55\degree$

11.

Find the reference angle for
$\frac{23\pi}{6}$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{12}$

d)

$\frac{\pi}{4}$

12.

Find the reference angle for
$-\frac{59\pi}{18}$

a)

$\frac{5\pi}{18}$

b)

$\frac{2\pi}{9}$

c)

$\frac{11\pi}{36}$

d)

$-\frac{5\pi}{18}$

13.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

14.

What are the negative and positive coterminal angles of 120°?

a)

420°, -240°

b)

480°, -240°

c)

300°, -360°

d)

0°, -250°

15.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

16.

In which quadrant would you find an angle measuring -700°?

a)

1

b)

2

c)

3

d)

4

17.

Which of the following is a negative coterminal angle of 165 degrees?

a)

195

b)

525

c)

-525

d)

-195

18.

Are $-\frac{3\pi}{4}$ and $\frac{5\pi}{4}$ coterminal angles?

a)

Yes

b)

No

19.

Are $\frac{7\pi}{3}$ and $\frac{13\pi}{3}$ coterminal angles?

a)

Yes

b)

No

20.

Are $-\frac{13\pi}{6}$ and $\frac{5\pi}{6}$ coterminal angles?

a)

Yes

b)

No

21.

Are $\frac{15\pi}{4}$ and $-\frac{3\pi}{4}$ coterminal angles?

a)

Yes

b)

No

22.

Which of the following angles are coterminal to the angle $-\frac{5\pi}{3}$ ? Select all that apply.

a)

$\frac{\pi}{3}$

b)

$-\frac{11\pi}{3}$

c)

$\frac{7\pi}{3}$

d)

$-\frac{15\pi}{3}$

23.

Which of the following angles are coterminal to the angle $\frac{7\pi}{4}$ ? Select all that apply.

a)

$-\frac{\pi}{4}$

b)

$-\frac{9\pi}{4}$

c)

$\frac{15\pi}{4}$

d)

$\frac{23\pi}{4}$

24.

Which of the following angles are coterminal to the angle $\frac{17\pi}{6}$ ? Select all that apply.

a)

$\frac{23\pi}{6}$

b)

$\frac{5\pi}{6}$

c)

$-\frac{7\pi}{6}$

d)

$-\frac{13\pi}{6}$

25.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

26.

What is the reference angle for -310⁰?

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

27.

What is the reference angle for 275°?

a)

85°

b)

95°

c)

-85°

d)

-95°

28.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

29.

Which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

30.

What is the reference angle for $\frac{4\pi}{3}$ ?

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{2\pi}{3}$

31.

What is the reference angle for $\frac{11\pi}{6}$

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{5\pi}{6}$

32.

What is the reference angle for $\frac{23\pi}{4}$ ?

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{3\pi}{4}$

33.

What is the reference angle for $-\frac{13\pi}{3}$ ?

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{5\pi}{3}$

34.

What is the reference angle for $\frac{31\pi}{6}$ ?

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{5\pi}{6}$

35.

Convert $\frac{23\pi}{12}$ to degrees

a)

$345\degree$

b)

$365\degree$

c)

$405\degree$

d)

$330\degree$

36.

Are the given angles coterminal?

$50\degree,\ -150\degree$

a)

yes

b)

no

37.

Are the given angles coterminal?

$\frac{17\pi}{9},\frac{44\pi}{9}$

a)

yes

b)

no

38.

State the quadrant in which the terminal side of $-\frac{31\pi}{12}$ lies.

a)

I

b)

II

c)

III

d)

IV

39.

State the quadrant in which the terminal side of $-\frac{32\pi}{9}$ lies.

a)

I

b)

II

c)

III

d)

IV

40.

State the quadrant in which the terminal side of $-35\degree$ lies.

a)

I

b)

II

c)

III

d)

IV

41.

State the quadrant in which the terminal side of $480\degree$ lies.

a)

I

b)

II

c)

III

d)

IV

42.

Find the reference angle for $-\frac{23\pi}{6}$

a)

$\frac{\pi}{6}$

b)

$-\frac{\pi}{6}$

c)

$\frac{5\pi}{6}$

d)

$\frac{2\pi}{3}$

43.

Find the reference angle for $-\frac{34\pi}{9}$

a)

$\frac{2\pi}{9}$

b)

$-\frac{2\pi}{9}$

c)

$\frac{\pi}{9}$

d)

$\frac{4\pi}{9}$

44.

Find the reference angle for $-\frac{47\pi}{18}$

a)

$\frac{7\pi}{18}$

b)

$-\frac{7\pi}{18}$

c)

$\frac{\pi}{18}$

d)

$\frac{5\pi}{18}$

45.

Find the reference angle for $\frac{25\pi}{9}$

a)

$\frac{2\pi}{9}$

b)

$\frac{\pi}{9}$

c)

$\frac{4\pi}{9}$

d)

$\frac{5\pi}{9}$

46.

Find the reference angle for $-590\degree$

a)

$50\degree$

b)

$-50\degree$

c)

$40\degree$

d)

$-40\degree$

47.

Find the reference angle for $-\frac{13\pi}{18}$

a)

$\frac{5\pi}{18}$

b)

$-\frac{5\pi}{18}$

c)

$\frac{\pi}{18}$

d)

$\frac{7\pi}{18}$

48.

Find the reference angle for $\frac{23\pi}{18}$

a)

$\frac{5\pi}{18}$

b)

$\frac{\pi}{18}$

c)

$\frac{4\pi}{18}$

d)

$\frac{7\pi}{18}$

49.

Find the reference angle for $-\frac{14\pi}{9}$

a)

$\frac{4\pi}{9}$

b)

$\frac{5\pi}{9}$

c)

$\frac{\pi}{9}$

d)

$\frac{2\pi}{9}$

50.

Find the reference angle for $-505\degree$

a)

$35\degree$

b)

$55\degree$

c)

$215\degree$

d)

$65\degree$

Angles and Their Measure Practice

Total questions: 50

Worksheet time: 4hrs 10mins

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