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Angles around a point.

Use a full turn of 360 degrees to find a missing angle.

Numihana · England Year 6

Angles around a point

Practice sheet

Name: ______________
Date: ______________

Use a full turn of 360 degrees to find a missing angle.

1

Angles make a total of 360°. One is 270°. Find the other angle, in degrees.

Answer: ________________
2

Angles make a total of 360°. One is 330°. Find the other angle, in degrees.

Answer: ________________
3

Angles make a total of 360°. One is 60°. Find the other angle, in degrees.

Answer: ________________
4

Angles make a total of 360°. One is 120°. Find the other angle, in degrees.

Answer: ________________
5

Angles make a total of 360°. One is 210°. Find the other angle, in degrees.

Answer: ________________
6

Angles make a total of 360°. One is 60°. Find the other angle, in degrees.

Answer: ________________
Numihana · England Year 6 · Angles around a point
Numihana · England Year 6

Angles around a point

Answer key

Name: ______________
Date: ______________

Use a full turn of 360 degrees to find a missing angle.

1

Angles make a total of 360°. One is 270°. Find the other angle, in degrees.

Answer: 90
2

Angles make a total of 360°. One is 330°. Find the other angle, in degrees.

Answer: 30
3

Angles make a total of 360°. One is 60°. Find the other angle, in degrees.

Answer: 300
4

Angles make a total of 360°. One is 120°. Find the other angle, in degrees.

Answer: 240
5

Angles make a total of 360°. One is 210°. Find the other angle, in degrees.

Answer: 150
6

Angles make a total of 360°. One is 60°. Find the other angle, in degrees.

Answer: 300
Numihana · England Year 6 · Angles around a point

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The skill behind this activity

Use a full turn of 360 degrees to find a missing angle.

Department for Education: mathematics programmes of study ↗

Year 6 → Geometry → Properties of shapes · Selected statutory skill. Pack 2.2.0 · source checked 2026-10-12.

For teachers and parents

Use the stated complete angle total. Subtract the known angle to find the missing part, then add both parts to check the total.

A common slip

A straight line totals 180 degrees, while a full turn around a point totals 360 degrees.

Curriculum coverage

Worked example

Angles make a total of 360°. One is 80°. Find the other angle, in degrees.

Answer: 280

Use the stated complete angle total. Subtract the known angle to find the missing part, then add both parts to check the total.