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Free Grade 3 Introduction to Sampling in Context Common Errors: Visual Models Quizzes

Free Grade 3 quizzes for Introduction to Sampling in Context Common Errors: Visual Models: 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

25 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introduction to sampling in context common errors: visual models

    Explain introduction to sampling in context common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to sampling in context common errors: visual models

    Calculate introduction to sampling in context common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to sampling in context common errors: visual models

    Compare introduction to sampling in context common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introduction to sampling in context common errors: visual models

    Justify introduction to sampling in context common errors: visual models 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 Sampling in Context Common Errors: Visual Models 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 4, Blue 7, Green 10, Yellow 8. In a pie chart, what angle does Yellow get?[1]
  2. 2.In a survey: Red 9, Blue 9, Green 9, Yellow 10. In a pie chart, what angle does Green get?[1]
  3. 3.In a survey: Red 12, Blue 3, Green 10, Yellow 12. In a pie chart, what angle does Blue get?[1]
  4. 4.In a survey: Red 12, Blue 13, Green 7, Yellow 15. In a pie chart, what angle does Red get?[1]
  5. 5.In a survey: Red 3, Blue 3, Green 3, Yellow 8. In a pie chart, what angle does Blue get?[2]
  6. 6.In a survey: Red 9, Blue 5, Green 4, Yellow 5. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 3, Blue 2, Green 12, Yellow 11. In a pie chart, what angle does Yellow get?[2]
  8. 8.In a survey: Red 15, Blue 3, Green 7, Yellow 15. In a pie chart, what angle does Green get?[2]
  9. 9.In a survey: Red 5, Blue 7, Green 15, Yellow 7. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 13, Blue 2, Green 15, Yellow 9. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 11, Blue 6, Green 3, Yellow 8. In a pie chart, what angle does Yellow get?[3]
  12. 12.In a survey: Red 12, Blue 10, Green 15, Yellow 6. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 99.3°

    Total = 29. Yellow fraction = 8/29. 8/29 × 360° = 99.3°.

  2. 2. 87.6°

    Total = 37. Green fraction = 9/37. 9/37 × 360° = 87.6°.

  3. 3. 29.2°

    Total = 37. Blue fraction = 3/37. 3/37 × 360° = 29.2°.

  4. 4. 91.9°

    Total = 47. Red fraction = 12/47. 12/47 × 360° = 91.9°.

  5. 5. 63.5°

    Total = 17. Blue fraction = 3/17. 3/17 × 360° = 63.5°.

  6. 6. 62.6°

    Total = 23. Green fraction = 4/23. 4/23 × 360° = 62.6°.

  7. 7. 141.4°

    Total = 28. Yellow fraction = 11/28. 11/28 × 360° = 141.4°.

  8. 8. 63°

    Total = 40. Green fraction = 7/40. 7/40 × 360° = 63°.

  9. 9. 158.8°

    Total = 34. Green fraction = 15/34. 15/34 × 360° = 158.8°.

  10. 10. 120°

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

  11. 11. 102.9°

    Total = 28. Yellow fraction = 8/28. 8/28 × 360° = 102.9°.

  12. 12. 125.6°

    Total = 43. Green fraction = 15/43. 15/43 × 360° = 125.6°.

Worked examples

Easy example

In a survey: Red 15, Blue 7, Green 5, Yellow 8. In a pie chart, what angle does Red get?

  1. Total = 35.
  2. Red fraction = 15/35.
  3. 15/35 × 360° = 154.3°.
  4. Answer: 154.3°
Medium example

In a survey: Red 2, Blue 12, Green 3, Yellow 4. In a pie chart, what angle does Yellow get?

  1. Total = 21.
  2. Yellow fraction = 4/21.
  3. 4/21 × 360° = 68.6°.
  4. Answer: 68.6°
Hard example

In a survey: Red 5, Blue 7, Green 3, Yellow 9. In a pie chart, what angle does Blue get?

  1. Total = 24.
  2. Blue fraction = 7/24.
  3. 7/24 × 360° = 105°.
  4. Answer: 105°

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.

NATIONAL-CURRICULUM NAT-527.1 — Mapped statement covering Introduction to Sampling in Context Common Errors: Visual Models.IB IB-980.2 — Mapped statement covering Introduction to Sampling in Context Common Errors: Visual Models.

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Frequently asked

Is this Grade 3 Introduction to Sampling in Context Common Errors: Visual Models quiz really free?
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What should a learner already know before this?
Start with Introduction to Sampling in Context Common Errors: Worked Examples, Introduction to Sampling in Context Common Errors: Step-by-step Method, Sampling in Context Word Problems. 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 Introduction to Sampling in Context Common Errors: Visual Models?
Move on to Introduction to Sampling in Context Common Errors: Common Mistakes, Introduction to Sampling in Context Common Errors: Real-life Applications, Key Vocabulary of Sampling in Context Common Errors, Rules and Methods in Sampling in Context Common Errors, which build directly on this idea.

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