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Free Grade 3 Introduction to Introducing Sampling Word Problems Worksheets

Free Grade 3 worksheets for Introduction to Introducing Sampling Word Problems: 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

20 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 word problems

    Explain introduction to introducing sampling word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to introducing sampling word problems

    Calculate introduction to introducing sampling word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to introducing sampling word problems

    Compare introduction to introducing sampling word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introduction to introducing sampling word problems

    Justify introduction to introducing sampling word problems 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 Word Problems 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 15, Green 13, Yellow 8. In a pie chart, what angle does Green get?[1]
  2. 2.In a survey: Red 5, Blue 3, Green 2, Yellow 4. In a pie chart, what angle does Red get?[1]
  3. 3.In a survey: Red 10, Blue 11, Green 11, Yellow 12. In a pie chart, what angle does Red get?[1]
  4. 4.In a survey: Red 4, Blue 5, Green 10, Yellow 2. In a pie chart, what angle does Green get?[1]
  5. 5.In a survey: Red 15, Blue 5, Green 6, Yellow 15. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 11, Blue 12, Green 11, Yellow 14. In a pie chart, what angle does Blue get?[2]
  7. 7.In a survey: Red 6, Blue 12, Green 2, Yellow 10. In a pie chart, what angle does Blue get?[2]
  8. 8.In a survey: Red 2, Blue 8, Green 3, Yellow 14. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 14, Blue 3, Green 8, Yellow 10. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 15, Blue 8, Green 13, Yellow 8. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 10, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Blue get?[3]
  12. 12.In a survey: Red 14, Blue 9, Green 13, Yellow 2. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 101.7°

    Total = 46. Green fraction = 13/46. 13/46 × 360° = 101.7°.

  2. 2. 128.6°

    Total = 14. Red fraction = 5/14. 5/14 × 360° = 128.6°.

  3. 3. 81.8°

    Total = 44. Red fraction = 10/44. 10/44 × 360° = 81.8°.

  4. 4. 171.4°

    Total = 21. Green fraction = 10/21. 10/21 × 360° = 171.4°.

  5. 5. 131.7°

    Total = 41. Red fraction = 15/41. 15/41 × 360° = 131.7°.

  6. 6. 90°

    Total = 48. Blue fraction = 12/48. 12/48 × 360° = 90°.

  7. 7. 144°

    Total = 30. Blue fraction = 12/30. 12/30 × 360° = 144°.

  8. 8. 106.7°

    Total = 27. Blue fraction = 8/27. 8/27 × 360° = 106.7°.

  9. 9. 144°

    Total = 35. Red fraction = 14/35. 14/35 × 360° = 144°.

  10. 10. 106.4°

    Total = 44. Green fraction = 13/44. 13/44 × 360° = 106.4°.

  11. 11. 70.2°

    Total = 41. Blue fraction = 8/41. 8/41 × 360° = 70.2°.

  12. 12. 85.3°

    Total = 38. Blue fraction = 9/38. 9/38 × 360° = 85.3°.

Worked examples

Easy example

In a survey: Red 15, Blue 11, Green 5, Yellow 5. In a pie chart, what angle does Yellow get?

  1. Total = 36.
  2. Yellow fraction = 5/36.
  3. 5/36 × 360° = 50°.
  4. Answer: 50°
Medium example

In a survey: Red 15, Blue 3, Green 10, Yellow 11. In a pie chart, what angle does Green get?

  1. Total = 39.
  2. Green fraction = 10/39.
  3. 10/39 × 360° = 92.3°.
  4. Answer: 92.3°
Hard example

In a survey: Red 2, Blue 6, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?

  1. Total = 27.
  2. Yellow fraction = 7/27.
  3. 7/27 × 360° = 93.3°.
  4. Answer: 93.3°

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.

OCR OCR-647.1 — Mapped statement covering Introduction to Introducing Sampling Word Problems.CAMBRIDGE CAM-803.2 — Mapped statement covering Introduction to Introducing Sampling Word Problems.

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Frequently asked

Is this Grade 3 Introduction to Introducing Sampling Word Problems worksheet really free?
Yes. Every worksheets 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 Introducing Sampling Techniques. Each one has its own free lesson, worksheet and quiz.
How is the worksheet 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 Word Problems?
Move on to Key Vocabulary of Introducing Sampling Word Problems, Rules and Methods in Introducing Sampling Word Problems, Working with Introducing Sampling Word Problems, Introducing Sampling Word Problems in Examinations, which build directly on this idea.

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