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Math 4: Unit 6 Quiz - Graphing Angles

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

Which of the following shows  150°150\degree  in standard positon?

a)
b)
c)
d)
2.

Which of the following shows  210°-210\degree  graphed in standard position?

a)
b)
c)
d)
3.

Which of the following shows  5π4\frac{5\pi}{4}  graphed in standard position?

a)
b)
c)
d)
4.

Which of the following shows  π4-\frac{\pi}{4}  graphed in standard position?

a)
b)
c)
d)
5.

Which of the following degree measures is represented by this diagram?

a)

220°-220\degree

b)

385°385\degree

c)

210°-210\degree

d)

480°-480\degree

6.

Which of the following degree measures is represented by this diagram?

a)

3π4-\frac{3\pi}{4}

b)

6π5\frac{6\pi}{5}

c)

π3-\frac{\pi}{3}

d)

7π4-\frac{7\pi}{4}

7.

What is the reference angle?

a)

163°

b)

73°

c)

27°

d)

107°

8.

What is the reference angle?

a)

43°

b)

-43°

c)

47°

d)

-47°

9.

In which quadrant would you find an angle measuring

 19π6 -\frac{19\pi}{6}\   

a)

I

b)

II

c)

III

d)

IV

10.

Find an angle coterminal with an angle which measures 11π3\frac{11\pi}{3}  .

a)

17π3\frac{17\pi}{3}

b)

4π3\frac{4\pi}{3}

c)

π3\frac{\pi}{3}

d)

8π3\frac{8\pi}{3}

11.

Find an angle coterminal with an angle measuring 17π4\frac{17\pi}{4}  radians.

a)

 π3\frac{\pi}{3}  

b)

 5π4\frac{5\pi}{4}  

c)

 π4\frac{\pi}{4}  

d)

 13π4\frac{13\pi}{4}  

12.

Convert  7π6\frac{7\pi}{6}  radians into degrees.

a)

225°

b)

210°

c)

270°

d)

240°

13.

Which of the following is a correct representation of the reference angle of  θ=210°\theta=210\degree  

a)
b)
c)
d)
14.

Which of the following is a correct representation of the reference angle of  θ=150°\theta=-150\degree  

a)
b)
c)
d)
15.
What are the negative and positive coterminal angles of -225 degrees?
a)
375°, -600°
b)
125°, -356°
c)
135°, -585°
d)
60°, -120°
16.

Are  3π4-\frac{3\pi}{4}  and  5π4\frac{5\pi}{4}  coterminal angles?

a)

Yes

b)

No

17.

Are 13π6-\frac{13\pi}{6}  and  5π6\frac{5\pi}{6}  coterminal angles?

a)

Yes

b)

No

18.

In which quadrant does a

 2850-285^0  angle lie?

a)

I

b)

II

c)

III

d)

IV

19.

Given an angle of

 3000-300^0  , find a coterminal angle between  00 and 3600.0^0\ and\ 360^0.  

a)

 3300330^0  

b)

 3600360^0  

c)

 30030^0  

d)

 60060^0  

20.

What is 10° in radians?

a)

π/18

b)

2π/5

c)

π/6

d)

π/9

21.

Convert 41π12-\frac{41\pi}{12}  radians into degrees.

a)

-600°

b)

-605°

c)

-610°

d)

-615°

22.

Which of the following shows  480°480\degree  graphed in standard position?

a)
b)
c)
d)
23.

What is the reference angle?

a)

 30°30\degree  

b)

 130°130\degree  

c)

 50°50\degree  

d)

 60°60\degree  

24.

Which of the following is a correct representation of the reference angle of  θ=11π6\theta=\frac{11\pi}{6}  

a)
b)
c)
d)
25.

Which of the following is a correct representation of the reference angle of  θ=5π3\theta=\frac{5\pi}{3} 

a)
b)
c)
d)