FreeMathWorksheet
Free · Grade 3 · Flashcards

Free Grade 3 Introducing Line Graphs Flashcards

Free Grade 3 flashcards for Introducing Line Graphs: 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

Stretch

Estimated time

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing line graphs

    Identify introducing line graphs accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing line graphs

    Explain introducing line graphs accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing line graphs

    Calculate introducing line graphs accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing line graphs

    Compare introducing line graphs 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 Line Graphs 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 8, Blue 12, Green 14, Yellow 6. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 11, Blue 10, Green 12, Yellow 6. In a pie chart, what angle does Blue get?[1]
  3. 3.In a survey: Red 7, Blue 13, Green 2, Yellow 5. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 12, Blue 10, Green 2, Yellow 15. In a pie chart, what angle does Blue get?[1]
  5. 5.In a survey: Red 15, Blue 2, Green 11, Yellow 2. In a pie chart, what angle does Yellow get?[2]
  6. 6.In a survey: Red 14, Blue 7, Green 10, Yellow 9. In a pie chart, what angle does Blue get?[2]
  7. 7.In a survey: Red 11, Blue 12, Green 6, Yellow 14. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 7, Blue 11, Green 9, Yellow 4. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 2, Blue 2, Green 5, Yellow 13. In a pie chart, what angle does Blue get?[3]
  10. 10.In a survey: Red 5, Blue 14, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?[3]
  11. 11.In a survey: Red 14, Blue 8, Green 14, Yellow 4. In a pie chart, what angle does Red get?[3]
  12. 12.In a survey: Red 13, Blue 14, Green 14, Yellow 14. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 108°

    Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.

  2. 2. 92.3°

    Total = 39. Blue fraction = 10/39. 10/39 × 360° = 92.3°.

  3. 3. 66.7°

    Total = 27. Yellow fraction = 5/27. 5/27 × 360° = 66.7°.

  4. 4. 92.3°

    Total = 39. Blue fraction = 10/39. 10/39 × 360° = 92.3°.

  5. 5. 24°

    Total = 30. Yellow fraction = 2/30. 2/30 × 360° = 24°.

  6. 6. 63°

    Total = 40. Blue fraction = 7/40. 7/40 × 360° = 63°.

  7. 7. 92.1°

    Total = 43. Red fraction = 11/43. 11/43 × 360° = 92.1°.

  8. 8. 127.7°

    Total = 31. Blue fraction = 11/31. 11/31 × 360° = 127.7°.

  9. 9. 32.7°

    Total = 22. Blue fraction = 2/22. 2/22 × 360° = 32.7°.

  10. 10. 116.1°

    Total = 31. Yellow fraction = 10/31. 10/31 × 360° = 116.1°.

  11. 11. 126°

    Total = 40. Red fraction = 14/40. 14/40 × 360° = 126°.

  12. 12. 91.6°

    Total = 55. Blue fraction = 14/55. 14/55 × 360° = 91.6°.

Worked examples

Easy example

In a survey: Red 2, Blue 11, Green 10, Yellow 9. In a pie chart, what angle does Green get?

  1. Total = 32.
  2. Green fraction = 10/32.
  3. 10/32 × 360° = 112.5°.
  4. Answer: 112.5°
Medium example

In a survey: Red 12, Blue 7, Green 4, Yellow 10. In a pie chart, what angle does Red get?

  1. Total = 33.
  2. Red fraction = 12/33.
  3. 12/33 × 360° = 130.9°.
  4. Answer: 130.9°
Hard example

In a survey: Red 10, Blue 12, Green 14, Yellow 7. In a pie chart, what angle does Yellow get?

  1. Total = 43.
  2. Yellow fraction = 7/43.
  3. 7/43 × 360° = 58.6°.
  4. Answer: 58.6°

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.

CBSE CBS-575.1 — Mapped statement covering Introducing Line Graphs.COLLEGE-BOARD COL-488.2 — Mapped statement covering Introducing Line Graphs.

Every free resource for Introducing Line Graphs

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 Introducing Line Graphs 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 Pie Charts. 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 Introducing Line Graphs?
Move on to Working with Line Graphs, Line Graphs in Context, Bar Charts, Pie Charts, which build directly on this idea.

Related resources

Free AI Tutor

Stuck on Introducing Line Graphs? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor