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Free Grade 3 Rules and Methods in Sampling in Context Essentials Flashcards

Free Grade 3 flashcards for Rules and Methods in Sampling in Context Essentials: 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

Core

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 sampling in context essentials

    Identify rules and methods in sampling in context essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain rules and methods in sampling in context essentials

    Explain rules and methods in sampling in context essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate rules and methods in sampling in context essentials

    Calculate rules and methods in sampling in context essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare rules and methods in sampling in context essentials

    Compare rules and methods in sampling in context essentials 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 Sampling in Context Essentials 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 5, Blue 13, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[1]
  2. 2.In a survey: Red 4, Blue 10, Green 13, Yellow 7. In a pie chart, what angle does Yellow get?[1]
  3. 3.In a survey: Red 10, Blue 13, Green 8, Yellow 4. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 14, Blue 5, Green 14, Yellow 9. In a pie chart, what angle does Red get?[1]
  5. 5.In a survey: Red 5, Blue 14, Green 7, Yellow 13. In a pie chart, what angle does Yellow get?[2]
  6. 6.In a survey: Red 8, Blue 4, Green 8, Yellow 10. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 12, Blue 11, Green 15, Yellow 10. In a pie chart, what angle does Yellow get?[2]
  8. 8.In a survey: Red 13, Blue 9, Green 12, Yellow 10. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 15, Blue 10, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?[3]
  10. 10.In a survey: Red 2, Blue 2, Green 10, Yellow 15. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 12, Blue 7, Green 14, Yellow 3. In a pie chart, what angle does Blue get?[3]
  12. 12.In a survey: Red 13, Blue 4, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 107.2°

    Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.

  2. 2. 74.1°

    Total = 34. Yellow fraction = 7/34. 7/34 × 360° = 74.1°.

  3. 3. 41.1°

    Total = 35. Yellow fraction = 4/35. 4/35 × 360° = 41.1°.

  4. 4. 120°

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

  5. 5. 120°

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

  6. 6. 120°

    Total = 30. Yellow fraction = 10/30. 10/30 × 360° = 120°.

  7. 7. 75°

    Total = 48. Yellow fraction = 10/48. 10/48 × 360° = 75°.

  8. 8. 73.6°

    Total = 44. Blue fraction = 9/44. 9/44 × 360° = 73.6°.

  9. 9. 98.8°

    Total = 51. Yellow fraction = 14/51. 14/51 × 360° = 98.8°.

  10. 10. 24.8°

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

  11. 11. 70°

    Total = 36. Blue fraction = 7/36. 7/36 × 360° = 70°.

  12. 12. 46.5°

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

Worked examples

Easy example

In a survey: Red 10, Blue 8, Green 3, Yellow 13. In a pie chart, what angle does Green get?

  1. Total = 34.
  2. Green fraction = 3/34.
  3. 3/34 × 360° = 31.8°.
  4. Answer: 31.8°
Medium example

In a survey: Red 10, Blue 15, Green 6, Yellow 10. In a pie chart, what angle does Green get?

  1. Total = 41.
  2. Green fraction = 6/41.
  3. 6/41 × 360° = 52.7°.
  4. Answer: 52.7°
Hard example

In a survey: Red 6, Blue 3, Green 6, Yellow 9. In a pie chart, what angle does Red get?

  1. Total = 24.
  2. Red fraction = 6/24.
  3. 6/24 × 360° = 90°.
  4. Answer: 90°

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-983.1 — Mapped statement covering Rules and Methods in Sampling in Context Essentials.OCR OCR-624.2 — Mapped statement covering Rules and Methods in Sampling in Context Essentials.

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Frequently asked

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What should a learner already know before this?
Start with Key Vocabulary of Sampling in Context Essentials, Introduction to Sampling in Context Essentials, Working with Sampling. 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 Sampling in Context Essentials?
Move on to Working with Sampling in Context Essentials, Sampling in Context Essentials in Examinations, Sampling in Context Techniques, Sampling in Context Word Problems, which build directly on this idea.

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