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Free Grade 3 Rules and Methods in Introducing Sampling Essentials: Worked Examples Quizzes

Free Grade 3 quizzes for Rules and Methods in Introducing Sampling Essentials: Worked Examples: 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

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify rules and methods in introducing sampling essentials: worked examples

    Identify rules and methods in introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain rules and methods in introducing sampling essentials: worked examples

    Explain rules and methods in introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate rules and methods in introducing sampling essentials: worked examples

    Calculate rules and methods in introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare rules and methods in introducing sampling essentials: worked examples

    Compare rules and methods in introducing sampling essentials: worked examples 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 Essentials: Worked Examples 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 11, Blue 6, Green 13, Yellow 11. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 6, Blue 15, Green 9, Yellow 13. In a pie chart, what angle does Blue get?[1]
  3. 3.In a survey: Red 8, Blue 13, Green 5, Yellow 13. In a pie chart, what angle does Blue get?[1]
  4. 4.In a survey: Red 7, Blue 7, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?[1]
  5. 5.In a survey: Red 15, Blue 6, Green 14, Yellow 7. In a pie chart, what angle does Green get?[2]
  6. 6.In a survey: Red 12, Blue 7, Green 11, Yellow 3. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 10, Blue 8, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[2]
  8. 8.In a survey: Red 15, Blue 11, Green 15, Yellow 3. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 4, Blue 3, Green 10, Yellow 5. In a pie chart, what angle does Blue get?[3]
  10. 10.In a survey: Red 8, Blue 5, Green 4, Yellow 11. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 8, Blue 11, Green 8, Yellow 12. In a pie chart, what angle does Red get?[3]
  12. 12.In a survey: Red 11, Blue 13, Green 13, Yellow 6. In a pie chart, what angle does Red get?[3]
Show answers and working
  1. 1. 52.7°

    Total = 41. Blue fraction = 6/41. 6/41 × 360° = 52.7°.

  2. 2. 125.6°

    Total = 43. Blue fraction = 15/43. 15/43 × 360° = 125.6°.

  3. 3. 120°

    Total = 39. Blue fraction = 13/39. 13/39 × 360° = 120°.

  4. 4. 120°

    Total = 36. Yellow fraction = 12/36. 12/36 × 360° = 120°.

  5. 5. 120°

    Total = 42. Green fraction = 14/42. 14/42 × 360° = 120°.

  6. 6. 32.7°

    Total = 33. Yellow fraction = 3/33. 3/33 × 360° = 32.7°.

  7. 7. 96°

    Total = 30. Blue fraction = 8/30. 8/30 × 360° = 96°.

  8. 8. 24.5°

    Total = 44. Yellow fraction = 3/44. 3/44 × 360° = 24.5°.

  9. 9. 49.1°

    Total = 22. Blue fraction = 3/22. 3/22 × 360° = 49.1°.

  10. 10. 102.9°

    Total = 28. Red fraction = 8/28. 8/28 × 360° = 102.9°.

  11. 11. 73.8°

    Total = 39. Red fraction = 8/39. 8/39 × 360° = 73.8°.

  12. 12. 92.1°

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

Worked examples

Easy example

In a survey: Red 3, Blue 4, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?

  1. Total = 22.
  2. Yellow fraction = 10/22.
  3. 10/22 × 360° = 163.6°.
  4. Answer: 163.6°
Medium example

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

  1. Total = 35.
  2. Red fraction = 11/35.
  3. 11/35 × 360° = 113.1°.
  4. Answer: 113.1°
Hard example

In a survey: Red 14, Blue 8, Green 4, Yellow 9. In a pie chart, what angle does Blue get?

  1. Total = 35.
  2. Blue fraction = 8/35.
  3. 8/35 × 360° = 82.3°.
  4. Answer: 82.3°

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.

COMMON-CORE COM-505.1 — Mapped statement covering Rules and Methods in Introducing Sampling Essentials: Worked Examples.OCR OCR-566.2 — Mapped statement covering Rules and Methods in Introducing Sampling Essentials: Worked Examples.

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Is this Grade 3 Rules and Methods in Introducing Sampling Essentials: Worked Examples quiz really free?
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What should a learner already know before this?
Start with Rules and Methods in Introducing Sampling Essentials: Step-by-step Method, What is Rules and Methods in Introducing Sampling Essentials, Key Vocabulary of Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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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 Essentials: Worked Examples?
Move on to Rules and Methods in Introducing Sampling Essentials: Visual Models, Rules and Methods in Introducing Sampling Essentials: Common Mistakes, Rules and Methods in Introducing Sampling Essentials: Real-life Applications, Introduction to Introducing Sampling Essentials, which build directly on this idea.

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