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Free Grade 3 Introduction to Introducing Sampling Essentials: Worked Examples Quizzes

Free Grade 3 quizzes for Introduction to 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

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify introduction to introducing sampling essentials: worked examples

    Identify introduction to introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introduction to introducing sampling essentials: worked examples

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

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to introducing sampling essentials: worked examples

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

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to introducing sampling essentials: worked examples

    Compare introduction to 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 Introduction to 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 10, Blue 12, Green 8, Yellow 11. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 5, Blue 11, Green 12, Yellow 11. In a pie chart, what angle does Red get?[1]
  3. 3.In a survey: Red 3, Blue 12, Green 5, Yellow 14. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 10, Blue 11, Green 2, Yellow 12. In a pie chart, what angle does Blue get?[1]
  5. 5.In a survey: Red 9, Blue 10, Green 11, Yellow 15. In a pie chart, what angle does Blue get?[2]
  6. 6.In a survey: Red 9, Blue 7, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 5, Blue 7, Green 3, Yellow 5. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 11, Blue 9, Green 6, Yellow 7. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 7, Blue 2, Green 12, Yellow 2. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 10, Blue 13, Green 4, Yellow 3. In a pie chart, what angle does Blue get?[3]
  11. 11.In a survey: Red 3, Blue 15, Green 14, Yellow 12. In a pie chart, what angle does Blue get?[3]
  12. 12.In a survey: Red 8, Blue 14, Green 2, Yellow 5. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 105.4°

    Total = 41. Blue fraction = 12/41. 12/41 × 360° = 105.4°.

  2. 2. 46.2°

    Total = 39. Red fraction = 5/39. 5/39 × 360° = 46.2°.

  3. 3. 148.2°

    Total = 34. Yellow fraction = 14/34. 14/34 × 360° = 148.2°.

  4. 4. 113.1°

    Total = 35. Blue fraction = 11/35. 11/35 × 360° = 113.1°.

  5. 5. 80°

    Total = 45. Blue fraction = 10/45. 10/45 × 360° = 80°.

  6. 6. 120°

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

  7. 7. 90°

    Total = 20. Red fraction = 5/20. 5/20 × 360° = 90°.

  8. 8. 76.4°

    Total = 33. Yellow fraction = 7/33. 7/33 × 360° = 76.4°.

  9. 9. 187.8°

    Total = 23. Green fraction = 12/23. 12/23 × 360° = 187.8°.

  10. 10. 156°

    Total = 30. Blue fraction = 13/30. 13/30 × 360° = 156°.

  11. 11. 122.7°

    Total = 44. Blue fraction = 15/44. 15/44 × 360° = 122.7°.

  12. 12. 24.8°

    Total = 29. Green fraction = 2/29. 2/29 × 360° = 24.8°.

Worked examples

Easy example

In a survey: Red 9, Blue 13, Green 5, Yellow 4. In a pie chart, what angle does Red get?

  1. Total = 31.
  2. Red fraction = 9/31.
  3. 9/31 × 360° = 104.5°.
  4. Answer: 104.5°
Medium example

In a survey: Red 15, Blue 11, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?

  1. Total = 46.
  2. Yellow fraction = 8/46.
  3. 8/46 × 360° = 62.6°.
  4. Answer: 62.6°
Hard example

In a survey: Red 14, Blue 13, Green 7, Yellow 12. In a pie chart, what angle does Green get?

  1. Total = 46.
  2. Green fraction = 7/46.
  3. 7/46 × 360° = 54.8°.
  4. Answer: 54.8°

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.

AQA AQA-205.1 — Mapped statement covering Introduction to Introducing Sampling Essentials: Worked Examples.FBISE FBI-101.2 — Mapped statement covering Introduction to Introducing Sampling Essentials: Worked Examples.

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Frequently asked

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

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