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Free Grade 3 Introducing Triangles Common Errors Worksheets

Free Grade 3 worksheets for Introducing Triangles 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

Foundation

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing triangles common errors

    Identify introducing triangles common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing triangles common errors

    Explain introducing triangles common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing triangles common errors

    Calculate introducing triangles common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing triangles common errors

    Compare introducing triangles 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 Introducing Triangles 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 34°. Find the other.[1]
  2. 2.Two angles on a straight line. One is 69°. Find the other.[1]
  3. 3.Two angles on a straight line. One is 141°. Find the other.[1]
  4. 4.Two angles on a straight line. One is 77°. Find the other.[1]
  5. 5.A triangle has angles 63° and 63°. Find the third angle.[2]
  6. 6.A triangle has angles 43° and 111°. Find the third angle.[2]
  7. 7.A triangle has angles 41° and 40°. Find the third angle.[2]
  8. 8.A triangle has angles 44° and 114°. Find the third angle.[2]
  9. 9.Find the size of each interior angle of a regular 10-sided polygon.[3]
  10. 10.Find the size of each interior angle of a regular 8-sided polygon.[3]
  11. 11.Find the size of each interior angle of a regular 5-sided polygon.[3]
  12. 12.Find the size of each interior angle of a regular 6-sided polygon.[3]
Show answers and working
  1. 1. 146°

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

  2. 2. 111°

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

  3. 3. 39°

    Angles on a straight line add to 180°. 180 − 141 = 39°.

  4. 4. 103°

    Angles on a straight line add to 180°. 180 − 77 = 103°.

  5. 5. 54°

    Angles in a triangle add to 180°. 180 − 63 − 63 = 54°.

  6. 6. 26°

    Angles in a triangle add to 180°. 180 − 43 − 111 = 26°.

  7. 7. 99°

    Angles in a triangle add to 180°. 180 − 41 − 40 = 99°.

  8. 8. 22°

    Angles in a triangle add to 180°. 180 − 44 − 114 = 22°.

  9. 9. 144°

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

  10. 10. 135°

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

  11. 11. 108°

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

  12. 12. 120°

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

Worked examples

Easy example

Two angles on a straight line. One is 122°. Find the other.

  1. Angles on a straight line add to 180°.
  2. 180 − 122 = 58°.
  3. Answer: 58°
Medium example

A triangle has angles 67° and 60°. Find the third angle.

  1. Angles in a triangle add to 180°.
  2. 180 − 67 − 60 = 53°.
  3. Answer: 53°
Hard example

Find the size of each interior angle of a regular 9-sided polygon.

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

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.

AQA AQA-153.1 — Mapped statement covering Introducing Triangles Common Errors.FBISE FBI-285.2 — Mapped statement covering Introducing Triangles Common Errors.

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Frequently asked

Is this Grade 3 Introducing Triangles Common Errors worksheet really free?
Yes. Every worksheets 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 Introducing Triangles Word Problems, Introducing Triangles Techniques, Angles. Each one has its own free lesson, worksheet and quiz.
How is the worksheet 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 Introducing Triangles Common Errors?
Move on to Working with Triangles, Triangles in Context, which build directly on this idea.

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