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Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Understanding Worksheets

Free Grade 3 worksheets for Working with Introducing Sampling Essentials: Step-by-step Method — Understanding: 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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with introducing sampling essentials: step-by-step method — understanding

    Identify working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with introducing sampling essentials: step-by-step method — understanding

    Explain working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing sampling essentials: step-by-step method — understanding

    Calculate working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing sampling essentials: step-by-step method — understanding

    Compare working with introducing sampling essentials: step-by-step method — understanding 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 Working with Introducing Sampling Essentials: Step-by-step Method — Understanding 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 3, Blue 5, Green 2, Yellow 3. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 10, Blue 10, Green 10, Yellow 5. In a pie chart, what angle does Yellow get?[1]
  3. 3.In a survey: Red 2, Blue 12, Green 3, Yellow 8. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 11, Blue 8, Green 6, Yellow 5. In a pie chart, what angle does Yellow get?[1]
  5. 5.In a survey: Red 8, Blue 13, Green 11, Yellow 2. In a pie chart, what angle does Green get?[2]
  6. 6.In a survey: Red 4, Blue 14, Green 6, Yellow 15. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 12, Blue 12, Green 15, Yellow 5. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 10, Blue 8, Green 6, Yellow 6. In a pie chart, what angle does Green get?[2]
  9. 9.In a survey: Red 9, Blue 14, Green 4, Yellow 9. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 15, Blue 6, Green 4, Yellow 6. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 12, Blue 7, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?[3]
  12. 12.In a survey: Red 2, Blue 5, Green 12, Yellow 10. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 138.5°

    Total = 13. Blue fraction = 5/13. 5/13 × 360° = 138.5°.

  2. 2. 51.4°

    Total = 35. Yellow fraction = 5/35. 5/35 × 360° = 51.4°.

  3. 3. 43.2°

    Total = 25. Green fraction = 3/25. 3/25 × 360° = 43.2°.

  4. 4. 60°

    Total = 30. Yellow fraction = 5/30. 5/30 × 360° = 60°.

  5. 5. 116.5°

    Total = 34. Green fraction = 11/34. 11/34 × 360° = 116.5°.

  6. 6. 138.5°

    Total = 39. Yellow fraction = 15/39. 15/39 × 360° = 138.5°.

  7. 7. 98.2°

    Total = 44. Red fraction = 12/44. 12/44 × 360° = 98.2°.

  8. 8. 72°

    Total = 30. Green fraction = 6/30. 6/30 × 360° = 72°.

  9. 9. 90°

    Total = 36. Red fraction = 9/36. 9/36 × 360° = 90°.

  10. 10. 46.5°

    Total = 31. Green fraction = 4/31. 4/31 × 360° = 46.5°.

  11. 11. 102.9°

    Total = 42. Yellow fraction = 12/42. 12/42 × 360° = 102.9°.

  12. 12. 149°

    Total = 29. Green fraction = 12/29. 12/29 × 360° = 149°.

Worked examples

Easy example

In a survey: Red 8, Blue 6, Green 4, Yellow 4. In a pie chart, what angle does Green get?

  1. Total = 22.
  2. Green fraction = 4/22.
  3. 4/22 × 360° = 65.5°.
  4. Answer: 65.5°
Medium example

In a survey: Red 11, Blue 4, Green 2, Yellow 6. In a pie chart, what angle does Yellow get?

  1. Total = 23.
  2. Yellow fraction = 6/23.
  3. 6/23 × 360° = 93.9°.
  4. Answer: 93.9°
Hard example

In a survey: Red 11, Blue 8, Green 10, Yellow 15. In a pie chart, what angle does Blue get?

  1. Total = 44.
  2. Blue fraction = 8/44.
  3. 8/44 × 360° = 65.5°.
  4. Answer: 65.5°

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.

IB IB-963.1 — Mapped statement covering Working with Introducing Sampling Essentials: Step-by-step Method — Understanding.EDEXCEL EDE-926.2 — Mapped statement covering Working with Introducing Sampling Essentials: Step-by-step Method — Understanding.

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What should a learner already know before this?
Start with Working with Introducing Sampling Essentials: Step-by-step Method — Recognition, What is Working with Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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Move on to Working with Introducing Sampling Essentials: Step-by-step Method — Application, Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning, Working with Introducing Sampling Essentials: Step-by-step Method — Mastery, What is Working with Introducing Sampling Essentials, which build directly on this idea.

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