FreeMathWorksheet
Free · Grade 3 · Flashcards

Free Grade 3 Working with Graphical Solutions Common Errors Flashcards

Free Grade 3 flashcards for Working with Graphical Solutions Common Errors: 12 real questions with a full answer key and worked solutions. Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.

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.

  • UnderstandExplain working with graphical solutions common errors

    Explain working with graphical solutions common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with graphical solutions common errors

    Calculate working with graphical solutions common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with graphical solutions common errors

    Compare working with graphical solutions common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with graphical solutions common errors

    Justify working with graphical solutions 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 Graphical Solutions Common Errors works

Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.

Key wordsbar chartpie chartfrequencytotalsector

12 practice questions

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

  1. 1.In a survey: Red 9, Blue 11, Green 12, Yellow 9. In a pie chart, what angle does Yellow get?[1]
  2. 2.In a survey: Red 10, Blue 5, Green 3, Yellow 7. In a pie chart, what angle does Yellow get?[1]
  3. 3.In a survey: Red 14, Blue 10, Green 5, Yellow 8. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 5, Blue 10, Green 3, Yellow 9. In a pie chart, what angle does Green get?[1]
  5. 5.In a survey: Red 8, Blue 14, Green 3, Yellow 9. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 9, Blue 15, Green 6, Yellow 9. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 13, Blue 12, Green 4, Yellow 3. In a pie chart, what angle does Yellow get?[2]
  8. 8.In a survey: Red 13, Blue 10, Green 4, Yellow 14. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 4, Blue 4, Green 2, Yellow 11. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 7, Blue 15, Green 4, Yellow 12. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 9, Blue 9, Green 13, Yellow 7. In a pie chart, what angle does Green get?[3]
  12. 12.In a survey: Red 6, Blue 4, Green 4, Yellow 2. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 79°

    Total = 41. Yellow fraction = 9/41. 9/41 × 360° = 79°.

  2. 2. 100.8°

    Total = 25. Yellow fraction = 7/25. 7/25 × 360° = 100.8°.

  3. 3. 48.6°

    Total = 37. Green fraction = 5/37. 5/37 × 360° = 48.6°.

  4. 4. 40°

    Total = 27. Green fraction = 3/27. 3/27 × 360° = 40°.

  5. 5. 84.7°

    Total = 34. Red fraction = 8/34. 8/34 × 360° = 84.7°.

  6. 6. 55.4°

    Total = 39. Green fraction = 6/39. 6/39 × 360° = 55.4°.

  7. 7. 33.8°

    Total = 32. Yellow fraction = 3/32. 3/32 × 360° = 33.8°.

  8. 8. 122.9°

    Total = 41. Yellow fraction = 14/41. 14/41 × 360° = 122.9°.

  9. 9. 68.6°

    Total = 21. Red fraction = 4/21. 4/21 × 360° = 68.6°.

  10. 10. 66.3°

    Total = 38. Red fraction = 7/38. 7/38 × 360° = 66.3°.

  11. 11. 123.2°

    Total = 38. Green fraction = 13/38. 13/38 × 360° = 123.2°.

  12. 12. 90°

    Total = 16. Green fraction = 4/16. 4/16 × 360° = 90°.

Worked examples

Easy example

In a survey: Red 14, Blue 8, Green 14, Yellow 7. In a pie chart, what angle does Blue get?

  1. Total = 43.
  2. Blue fraction = 8/43.
  3. 8/43 × 360° = 67°.
  4. Answer: 67°
Medium example

In a survey: Red 14, Blue 13, Green 5, Yellow 2. In a pie chart, what angle does Blue get?

  1. Total = 34.
  2. Blue fraction = 13/34.
  3. 13/34 × 360° = 137.6°.
  4. Answer: 137.6°
Hard example

In a survey: Red 13, Blue 11, Green 11, Yellow 14. In a pie chart, what angle does Yellow get?

  1. Total = 49.
  2. Yellow fraction = 14/49.
  3. 14/49 × 360° = 102.9°.
  4. Answer: 102.9°

Interactive practice

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

Common mistakes

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

  • Uses 100 instead of 360 for pie-chart angles.

    Correction: A full circle is 360°.

  • Forgets to find the total first.

    Correction: Add all frequencies before working out fractions.

Teacher tips

  • · Have pupils check that all angles add to 360°.

Parent tips

  • · Look at charts in the news and ask what they show.

Real-life applications

  • · News infographics, survey results.

Assessment objectives

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

COLLEGE-BOARD COL-273.1 — Mapped statement covering Working with Graphical Solutions Common Errors.AQA AQA-852.2 — Mapped statement covering Working with Graphical Solutions Common Errors.

Every free resource for Working with Graphical Solutions Common Errors

One concept, one ecosystem — all of it free.

Goes deeper

The entities below this one, each with the same complete free resource set.

Sibling concepts

Related concepts

Lateral links, including across subjects.

Next topics

All free formats for this concept

Every kind below is a real page, generated from this entity.

Frequently asked

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

Related resources

Free AI Tutor

Stuck on Working with Graphical Solutions Common Errors? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor