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Free Grade 3 Rules and Methods in Introducing Sampling Techniques Quizzes

Free Grade 3 quizzes for Rules and Methods in Introducing Sampling Techniques: 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

20 min

Total marks

24

Learning objectives

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

  • UnderstandExplain rules and methods in introducing sampling techniques

    Explain rules and methods in introducing sampling techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate rules and methods in introducing sampling techniques

    Calculate rules and methods in introducing sampling techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare rules and methods in introducing sampling techniques

    Compare rules and methods in introducing sampling techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify rules and methods in introducing sampling techniques

    Justify rules and methods in introducing sampling techniques 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 Rules and Methods in Introducing Sampling Techniques 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 2, Green 15, Yellow 13. In a pie chart, what angle does Red get?[1]
  2. 2.In a survey: Red 5, Blue 2, Green 14, Yellow 5. In a pie chart, what angle does Green get?[1]
  3. 3.In a survey: Red 13, Blue 11, Green 3, Yellow 14. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 3, Blue 10, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[1]
  5. 5.In a survey: Red 13, Blue 14, Green 15, Yellow 13. In a pie chart, what angle does Green get?[2]
  6. 6.In a survey: Red 6, Blue 8, Green 6, Yellow 4. In a pie chart, what angle does Blue get?[2]
  7. 7.In a survey: Red 6, Blue 14, Green 7, Yellow 13. In a pie chart, what angle does Green get?[2]
  8. 8.In a survey: Red 12, Blue 12, Green 10, Yellow 11. In a pie chart, what angle does Red get?[2]
  9. 9.In a survey: Red 11, Blue 9, Green 8, Yellow 13. In a pie chart, what angle does Blue get?[3]
  10. 10.In a survey: Red 2, Blue 13, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?[3]
  11. 11.In a survey: Red 7, Blue 11, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?[3]
  12. 12.In a survey: Red 3, Blue 7, Green 3, Yellow 10. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 83.1°

    Total = 39. Red fraction = 9/39. 9/39 × 360° = 83.1°.

  2. 2. 193.8°

    Total = 26. Green fraction = 14/26. 14/26 × 360° = 193.8°.

  3. 3. 122.9°

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

  4. 4. 161.4°

    Total = 29. Yellow fraction = 13/29. 13/29 × 360° = 161.4°.

  5. 5. 98.2°

    Total = 55. Green fraction = 15/55. 15/55 × 360° = 98.2°.

  6. 6. 120°

    Total = 24. Blue fraction = 8/24. 8/24 × 360° = 120°.

  7. 7. 63°

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

  8. 8. 96°

    Total = 45. Red fraction = 12/45. 12/45 × 360° = 96°.

  9. 9. 79°

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

  10. 10. 92.6°

    Total = 35. Yellow fraction = 9/35. 9/35 × 360° = 92.6°.

  11. 11. 81°

    Total = 40. Yellow fraction = 9/40. 9/40 × 360° = 81°.

  12. 12. 47°

    Total = 23. Green fraction = 3/23. 3/23 × 360° = 47°.

Worked examples

Easy example

In a survey: Red 9, Blue 3, Green 3, Yellow 2. In a pie chart, what angle does Yellow get?

  1. Total = 17.
  2. Yellow fraction = 2/17.
  3. 2/17 × 360° = 42.4°.
  4. Answer: 42.4°
Medium example

In a survey: Red 10, Blue 8, Green 4, Yellow 10. In a pie chart, what angle does Green get?

  1. Total = 32.
  2. Green fraction = 4/32.
  3. 4/32 × 360° = 45°.
  4. Answer: 45°
Hard example

In a survey: Red 13, Blue 6, Green 4, Yellow 9. In a pie chart, what angle does Blue get?

  1. Total = 32.
  2. Blue fraction = 6/32.
  3. 6/32 × 360° = 67.5°.
  4. Answer: 67.5°

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.

EDEXCEL EDE-275.1 — Mapped statement covering Rules and Methods in Introducing Sampling Techniques.CBSE CBS-622.2 — Mapped statement covering Rules and Methods in Introducing Sampling Techniques.

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Frequently asked

Is this Grade 3 Rules and Methods in Introducing Sampling Techniques quiz really free?
Yes. Every quizzes 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 Key Vocabulary of Introducing Sampling Techniques, Introduction to Introducing Sampling Techniques, Introducing Sampling Essentials. 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 Rules and Methods in Introducing Sampling Techniques?
Move on to Working with Introducing Sampling Techniques, Introducing Sampling Techniques in Examinations, Introducing Sampling Essentials, Introducing Sampling Word Problems, which build directly on this idea.

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