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Free Grade 3 Introduction to Introducing Sampling Essentials Quizzes

Free Grade 3 quizzes for Introduction to Introducing Sampling Essentials: 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

Higher

Estimated time

30 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introduction to introducing sampling essentials

    Explain introduction to introducing sampling essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to introducing sampling essentials

    Calculate introduction to introducing sampling essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to introducing sampling essentials

    Compare introduction to introducing sampling essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introduction to introducing sampling essentials

    Justify introduction to introducing sampling essentials 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 Introduction to Introducing Sampling Essentials 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 14, Blue 13, Green 9, Yellow 13. In a pie chart, what angle does Green get?[1]
  2. 2.In a survey: Red 7, Blue 9, Green 14, Yellow 14. In a pie chart, what angle does Red get?[1]
  3. 3.In a survey: Red 9, Blue 2, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[1]
  4. 4.In a survey: Red 6, Blue 8, Green 6, Yellow 12. In a pie chart, what angle does Red get?[1]
  5. 5.In a survey: Red 2, Blue 6, Green 2, Yellow 14. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 12, Blue 14, Green 15, Yellow 8. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 11, Blue 15, Green 5, Yellow 5. In a pie chart, what angle does Blue get?[2]
  8. 8.In a survey: Red 4, Blue 4, Green 5, Yellow 7. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 8, Blue 11, Green 11, Yellow 13. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 5, Blue 12, Green 13, Yellow 2. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 4, Blue 9, Green 7, Yellow 9. In a pie chart, what angle does Red get?[3]
  12. 12.In a survey: Red 7, Blue 8, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[3]
Show answers and working
  1. 1. 66.1°

    Total = 49. Green fraction = 9/49. 9/49 × 360° = 66.1°.

  2. 2. 57.3°

    Total = 44. Red fraction = 7/44. 7/44 × 360° = 57.3°.

  3. 3. 24°

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

  4. 4. 67.5°

    Total = 32. Red fraction = 6/32. 6/32 × 360° = 67.5°.

  5. 5. 30°

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

  6. 6. 110.2°

    Total = 49. Green fraction = 15/49. 15/49 × 360° = 110.2°.

  7. 7. 150°

    Total = 36. Blue fraction = 15/36. 15/36 × 360° = 150°.

  8. 8. 126°

    Total = 20. Yellow fraction = 7/20. 7/20 × 360° = 126°.

  9. 9. 92.1°

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

  10. 10. 56.3°

    Total = 32. Red fraction = 5/32. 5/32 × 360° = 56.3°.

  11. 11. 49.7°

    Total = 29. Red fraction = 4/29. 4/29 × 360° = 49.7°.

  12. 12. 101.3°

    Total = 32. Yellow fraction = 9/32. 9/32 × 360° = 101.3°.

Worked examples

Easy example

In a survey: Red 12, Blue 5, Green 13, Yellow 9. In a pie chart, what angle does Green get?

  1. Total = 39.
  2. Green fraction = 13/39.
  3. 13/39 × 360° = 120°.
  4. Answer: 120°
Medium example

In a survey: Red 5, Blue 9, Green 4, Yellow 15. In a pie chart, what angle does Green get?

  1. Total = 33.
  2. Green fraction = 4/33.
  3. 4/33 × 360° = 43.6°.
  4. Answer: 43.6°
Hard example

In a survey: Red 9, Blue 12, Green 14, Yellow 14. In a pie chart, what angle does Green get?

  1. Total = 49.
  2. Green 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.

NATIONAL-CURRICULUM NAT-891.1 — Mapped statement covering Introduction to Introducing Sampling Essentials.IB IB-410.2 — Mapped statement covering Introduction to Introducing Sampling Essentials.

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Frequently asked

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What should a learner already know before this?
Start with Data Presentation. 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 Introduction to Introducing Sampling Essentials?
Move on to Key Vocabulary of Introducing Sampling Essentials, Rules and Methods in Introducing Sampling Essentials, Working with Introducing Sampling Essentials, Introducing Sampling Essentials in Examinations, which build directly on this idea.

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