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Free Grade 3 Angle Bisector Quizzes

Free Grade 3 quizzes for Angle Bisector: 12 real questions with a full answer key and worked solutions. Angles on a straight line add to 180°, around a point to 360°, and inside a triangle to 180°. A polygon with n sides has interior angles adding to (n − 2) × 180°.

Price

Free

Difficulty

Foundation

Estimated time

35 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • UnderstandExplain angle bisector

    Explain angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate angle bisector

    Calculate angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare angle bisector

    Compare angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify angle bisector

    Justify angle bisector accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Angle Bisector works

Angles on a straight line add to 180°, around a point to 360°, and inside a triangle to 180°. A polygon with n sides has interior angles adding to (n − 2) × 180°.

Key wordsdegreeacuteobtusereflexinterior angle

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Two angles on a straight line. One is 34°. Find the other.[1]
  2. 2.Two angles on a straight line. One is 72°. Find the other.[1]
  3. 3.Two angles on a straight line. One is 111°. Find the other.[1]
  4. 4.Two angles on a straight line. One is 80°. Find the other.[1]
  5. 5.A triangle has angles 39° and 36°. Find the third angle.[2]
  6. 6.A triangle has angles 73° and 29°. Find the third angle.[2]
  7. 7.A triangle has angles 63° and 45°. Find the third angle.[2]
  8. 8.A triangle has angles 22° and 49°. Find the third angle.[2]
  9. 9.Find the size of each interior angle of a regular 7-sided polygon.[3]
  10. 10.Find the size of each interior angle of a regular 9-sided polygon.[3]
  11. 11.Find the size of each interior angle of a regular 8-sided polygon.[3]
  12. 12.Find the size of each interior angle of a regular 10-sided polygon.[3]
Show answers and working
  1. 1. 146°

    Angles on a straight line add to 180°. 180 − 34 = 146°.

  2. 2. 108°

    Angles on a straight line add to 180°. 180 − 72 = 108°.

  3. 3. 69°

    Angles on a straight line add to 180°. 180 − 111 = 69°.

  4. 4. 100°

    Angles on a straight line add to 180°. 180 − 80 = 100°.

  5. 5. 105°

    Angles in a triangle add to 180°. 180 − 39 − 36 = 105°.

  6. 6. 78°

    Angles in a triangle add to 180°. 180 − 73 − 29 = 78°.

  7. 7. 72°

    Angles in a triangle add to 180°. 180 − 63 − 45 = 72°.

  8. 8. 109°

    Angles in a triangle add to 180°. 180 − 22 − 49 = 109°.

  9. 9. 128.57°

    Sum of interior angles = (7 − 2) × 180 = 900°. Each angle = 900 ÷ 7 = 128.57°.

  10. 10. 140°

    Sum of interior angles = (9 − 2) × 180 = 1260°. Each angle = 1260 ÷ 9 = 140°.

  11. 11. 135°

    Sum of interior angles = (8 − 2) × 180 = 1080°. Each angle = 1080 ÷ 8 = 135°.

  12. 12. 144°

    Sum of interior angles = (10 − 2) × 180 = 1440°. Each angle = 1440 ÷ 10 = 144°.

Worked examples

Easy example

Two angles on a straight line. One is 49°. Find the other.

  1. Angles on a straight line add to 180°.
  2. 180 − 49 = 131°.
  3. Answer: 131°
Medium example

A triangle has angles 66° and 87°. Find the third angle.

  1. Angles in a triangle add to 180°.
  2. 180 − 66 − 87 = 27°.
  3. Answer: 27°
Hard example

Find the size of each interior angle of a regular 6-sided polygon.

  1. Sum of interior angles = (6 − 2) × 180 = 720°.
  2. Each angle = 720 ÷ 6 = 120°.
  3. Answer: 120°

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Reads the wrong scale on a protractor.

    Correction: Start from the 0 on the arm you are measuring from.

  • Uses 360° for a triangle.

    Correction: Triangle = 180°, quadrilateral = 360°.

Teacher tips

  • · Estimate the angle type before measuring.

Parent tips

  • · Spot right angles around the house.

Real-life applications

  • · Ramps, clock hands, building and design.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

COLLEGE-BOARD COL-889.1 — Mapped statement covering Angle Bisector.AQA AQA-224.2 — Mapped statement covering Angle Bisector.

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Frequently asked

Is this Grade 3 Angle Bisector quiz really free?
Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Perpendicular Bisector, Transformations. Each one has its own free lesson, worksheet and quiz.
How is the quiz sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Angle Bisector?
Move on to Loci, Angles, 2D Shapes, Perimeter and Area, which build directly on this idea.

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