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Free Grade 3 Introducing Sampling Essentials in Examinations Flashcards

Free Grade 3 flashcards for Introducing Sampling Essentials in Examinations: 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

Foundation

Estimated time

20 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing sampling essentials in examinations

    Explain introducing sampling essentials in examinations accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing sampling essentials in examinations

    Calculate introducing sampling essentials in examinations accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing sampling essentials in examinations

    Compare introducing sampling essentials in examinations accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing sampling essentials in examinations

    Justify introducing sampling essentials in examinations 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 Introducing Sampling Essentials in Examinations 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 5, Green 2, Yellow 9. In a pie chart, what angle does Yellow get?[1]
  2. 2.In a survey: Red 3, Blue 5, Green 8, Yellow 11. In a pie chart, what angle does Blue get?[1]
  3. 3.In a survey: Red 9, Blue 7, Green 7, Yellow 12. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 6, Blue 6, Green 14, Yellow 6. In a pie chart, what angle does Blue get?[1]
  5. 5.In a survey: Red 12, Blue 2, Green 10, Yellow 13. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 7, Blue 13, Green 4, Yellow 7. In a pie chart, what angle does Red get?[2]
  7. 7.In a survey: Red 3, Blue 3, Green 10, Yellow 2. In a pie chart, what angle does Green get?[2]
  8. 8.In a survey: Red 14, Blue 3, Green 9, Yellow 9. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 9, Blue 6, Green 14, Yellow 8. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 10, Blue 11, Green 13, Yellow 2. In a pie chart, what angle does Blue get?[3]
  11. 11.In a survey: Red 7, Blue 4, Green 12, Yellow 7. In a pie chart, what angle does Green get?[3]
  12. 12.In a survey: Red 2, Blue 5, Green 7, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 120°

    Total = 27. Yellow fraction = 9/27. 9/27 × 360° = 120°.

  2. 2. 66.7°

    Total = 27. Blue fraction = 5/27. 5/27 × 360° = 66.7°.

  3. 3. 72°

    Total = 35. Green fraction = 7/35. 7/35 × 360° = 72°.

  4. 4. 67.5°

    Total = 32. Blue fraction = 6/32. 6/32 × 360° = 67.5°.

  5. 5. 116.8°

    Total = 37. Red fraction = 12/37. 12/37 × 360° = 116.8°.

  6. 6. 81.3°

    Total = 31. Red fraction = 7/31. 7/31 × 360° = 81.3°.

  7. 7. 200°

    Total = 18. Green fraction = 10/18. 10/18 × 360° = 200°.

  8. 8. 30.9°

    Total = 35. Blue fraction = 3/35. 3/35 × 360° = 30.9°.

  9. 9. 136.2°

    Total = 37. Green fraction = 14/37. 14/37 × 360° = 136.2°.

  10. 10. 110°

    Total = 36. Blue fraction = 11/36. 11/36 × 360° = 110°.

  11. 11. 144°

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

  12. 12. 85.7°

    Total = 21. Blue fraction = 5/21. 5/21 × 360° = 85.7°.

Worked examples

Easy example

In a survey: Red 2, Blue 13, Green 9, Yellow 14. In a pie chart, what angle does Green get?

  1. Total = 38.
  2. Green fraction = 9/38.
  3. 9/38 × 360° = 85.3°.
  4. Answer: 85.3°
Medium example

In a survey: Red 4, Blue 7, Green 2, Yellow 12. In a pie chart, what angle does Blue get?

  1. Total = 25.
  2. Blue fraction = 7/25.
  3. 7/25 × 360° = 100.8°.
  4. Answer: 100.8°
Hard example

In a survey: Red 10, Blue 9, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?

  1. Total = 44.
  2. Yellow fraction = 15/44.
  3. 15/44 × 360° = 122.7°.
  4. Answer: 122.7°

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-463.1 — Mapped statement covering Introducing Sampling Essentials in Examinations.CAMBRIDGE CAM-767.2 — Mapped statement covering Introducing Sampling Essentials in Examinations.

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What should a learner already know before this?
Start with Working with Introducing Sampling Essentials, Rules and Methods in Introducing Sampling Essentials, Data Presentation. Each one has its own free lesson, worksheet and quiz.
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Move on to Introducing Sampling Techniques, Introducing Sampling Word Problems, Introducing Sampling Common Errors, which build directly on this idea.

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