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Radians & Degrees Quizizz

11 questions

9th - 9th Grade

Mathematics

This Grade 9 mathematics worksheet helps students practice converting angle measures between degrees and radians. It contains 11 multiple-choice items: five degree-to-radian conversions, four radian-to-degree conversions, and two self-reflection questions that ask students to evaluate their confidence with each direction of conversion. The conversion prompts emphasize applying the appropriate conversion factor and simplifying the result in terms of π when needed. Use this free printable worksheet with students who are learning or reviewing angle-measure conversions in a mathematics unit on radians and degrees. The two confidence checks provide a quick student self-assessment alongside the scored conversion practice, helping teachers identify whether students need more support with one direction of conversion. The worksheet includes an answer key for efficient review and grading.

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Worksheets

Radians & Degrees Quizizz

Total questions: 11

Name
Class
Date
1.

Convert from degrees to radians (in terms of π\pi   ): 45 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

π3\frac{\pi}{3}  

b)

π5\frac{\pi}{5}  

c)

π4\frac{\pi}{4}  

d)

π2\frac{\pi}{2}  

2.

Convert from degrees to radians (in terms of π\pi   ): 120 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

2π3\frac{2\pi}{3}  

b)

3π5\frac{3\pi}{5}  

c)

3π4\frac{3\pi}{4}  

d)

π2\frac{\pi}{2}  

3.

Convert from degrees to radians (in terms of π\pi   ): 180 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

π2\frac{\pi}{2}  

b)

π\pi  

c)

2π2\pi  

d)

π3\frac{\pi}{3}  

4.

Convert from degrees to radians (in terms of π\pi   ): 360 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

3π4\frac{3\pi}{4}  

b)

π\pi  

c)

2π2\pi  

d)

2π3\frac{2\pi}{3}  

5.

Convert from degrees to radians (in terms of π\pi   ): 240 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

4π3\frac{4\pi}{3}  

b)

6π5\frac{6\pi}{5}  

c)

2π3\frac{2\pi}{3}  

d)

7π6\frac{7\pi}{6}  

6.

How do you feel about converting from degrees to radians? (Multiplying by π180\frac{\pi}{180}  )

a)

I still need a lot of practice...

b)

I'm getting the hang of it!

c)

This is easy for me.

7.

Convert from radians to degrees: π6\frac{\pi}{6}  .

HINT: Multiply by 180π\frac{180}{\pi}   and simplify.

a)

10 degrees

b)

30 degrees

c)

50 degrees

d)

60 degrees

8.

Convert from radians to degrees: 2π3\frac{2\pi}{3}  .

HINT: Multiply by 180π\frac{180}{\pi}   and simplify.

a)

90 degrees

b)

120 degrees

c)

150 degrees

d)

160 degrees

9.

Convert from radians to degrees: 3π4\frac{3\pi}{4}  .

HINT: Multiply by 180π\frac{180}{\pi}   and simplify.

a)

110 degrees

b)

120 degrees

c)

135 degrees

d)

155 degrees

10.

Convert from radians to degrees: 3π2\frac{3\pi}{2}  .

HINT: Multiply by 180π\frac{180}{\pi}   and simplify.

a)

180 degrees

b)

205 degrees

c)

225 degrees

d)

270 degrees

11.

How do you feel about converting from radians to degrees? (Multiplying by 180π\frac{180}{\pi}  )

a)

I still need a lot of practice...

b)

I'm getting the hang of it!

c)

This is easy for me.

Answer Key

Radians & Degrees Quizizz

Total questions: 11

1.
c)

π4\frac{\pi}{4}  

2.
a)

2π3\frac{2\pi}{3}  

3.
b)

π\pi  

4.
c)

2π2\pi  

5.
a)

4π3\frac{4\pi}{3}  

6.
n/a
7.
b)

30 degrees

8.
b)

120 degrees

9.
c)

135 degrees

10.
d)

270 degrees

11.
n/a

FAQs

What does the Radians & Degrees Quizizz worksheet cover?

This Grade 9 mathematics worksheet covers converting degree measures to radians and radian measures to degrees using the appropriate conversion factor and simplifying the result. Its 11 multiple-choice items include five degree-to-radian questions, four radian-to-degree questions, and two confidence checks so students can practice both directions and reflect on their fluency.

How can I use this worksheet to teach converting between degrees and radians?

Introduce the conversion factor for each direction, model how to multiply and simplify one example, and then have students complete the degree-to-radian items before moving to the radian-to-degree items. Use the two confidence questions as discussion prompts: ask students which direction feels less familiar and have them explain where the conversion factor belongs.

What mistakes should I watch for when students complete this degrees-and-radians worksheet?

Watch for students using the degree-to-radian factor when converting in the opposite direction, or reversing the factor without checking the units. Students may also stop before simplifying a result in terms of π, choose a distractor based on an arithmetic error, or treat the confidence-check questions as content questions rather than self-assessments.

How do I assign and grade the Radians & Degrees Quizizz worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the conversion items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version supports online completion and grading.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the degree-to-radian and radian-to-degree multiple-choice items easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those changes support access to the conversion practice.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.