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Free Grade 3 Working with Vertically Opposite Angles Common Errors Quizzes

Free Grade 3 quizzes for Working with Vertically Opposite Angles Common Errors: 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

Stretch

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with vertically opposite angles common errors

    Identify working with vertically opposite angles common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with vertically opposite angles common errors

    Explain working with vertically opposite angles common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with vertically opposite angles common errors

    Calculate working with vertically opposite angles common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with vertically opposite angles common errors

    Compare working with vertically opposite angles common errors 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 Working with Vertically Opposite Angles Common Errors 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 91°. Find the other.[1]
  2. 2.Two angles on a straight line. One is 29°. Find the other.[1]
  3. 3.Two angles on a straight line. One is 120°. Find the other.[1]
  4. 4.Two angles on a straight line. One is 116°. Find the other.[1]
  5. 5.A triangle has angles 80° and 20°. Find the third angle.[2]
  6. 6.A triangle has angles 53° and 23°. Find the third angle.[2]
  7. 7.A triangle has angles 72° and 46°. Find the third angle.[2]
  8. 8.A triangle has angles 36° and 69°. Find the third angle.[2]
  9. 9.Find the size of each interior angle of a regular 6-sided polygon.[3]
  10. 10.Find the size of each interior angle of a regular 10-sided polygon.[3]
  11. 11.Find the size of each interior angle of a regular 9-sided polygon.[3]
  12. 12.Find the size of each interior angle of a regular 5-sided polygon.[3]
Show answers and working
  1. 1. 89°

    Angles on a straight line add to 180°. 180 − 91 = 89°.

  2. 2. 151°

    Angles on a straight line add to 180°. 180 − 29 = 151°.

  3. 3. 60°

    Angles on a straight line add to 180°. 180 − 120 = 60°.

  4. 4. 64°

    Angles on a straight line add to 180°. 180 − 116 = 64°.

  5. 5. 80°

    Angles in a triangle add to 180°. 180 − 80 − 20 = 80°.

  6. 6. 104°

    Angles in a triangle add to 180°. 180 − 53 − 23 = 104°.

  7. 7. 62°

    Angles in a triangle add to 180°. 180 − 72 − 46 = 62°.

  8. 8. 75°

    Angles in a triangle add to 180°. 180 − 36 − 69 = 75°.

  9. 9. 120°

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

  10. 10. 144°

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

  11. 11. 140°

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

  12. 12. 108°

    Sum of interior angles = (5 − 2) × 180 = 540°. Each angle = 540 ÷ 5 = 108°.

Worked examples

Easy example

Two angles on a straight line. One is 45°. Find the other.

  1. Angles on a straight line add to 180°.
  2. 180 − 45 = 135°.
  3. Answer: 135°
Medium example

A triangle has angles 61° and 51°. Find the third angle.

  1. Angles in a triangle add to 180°.
  2. 180 − 61 − 51 = 68°.
  3. Answer: 68°
Hard example

Find the size of each interior angle of a regular 8-sided polygon.

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

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.

IB IB-931.1 — Mapped statement covering Working with Vertically Opposite Angles Common Errors.EDEXCEL EDE-748.2 — Mapped statement covering Working with Vertically Opposite Angles Common Errors.

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Frequently asked

Is this Grade 3 Working with Vertically Opposite Angles Common Errors quiz really free?
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What should a learner already know before this?
Start with Working with Vertically Opposite Angles Word Problems, Working with Vertically Opposite Angles Techniques, Introducing Vertically Opposite Angles. 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 Working with Vertically Opposite Angles Common Errors?
Move on to Introducing Vertically Opposite Angles, Vertically Opposite Angles in Context, which build directly on this idea.

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