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Free Grade 3 Working with Sampling in Context Common Errors: Visual Models Quizzes

Free Grade 3 quizzes for Working with 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

Higher

Estimated time

25 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with sampling in context common errors: visual models

    Explain working with sampling in context common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with sampling in context common errors: visual models

    Calculate working with sampling in context common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with sampling in context common errors: visual models

    Compare working with sampling in context common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with sampling in context common errors: visual models

    Justify working with 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 Working with 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 13, Blue 12, Green 7, Yellow 3. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 8, Blue 2, Green 10, Yellow 13. In a pie chart, what angle does Green get?[1]
  3. 3.In a survey: Red 13, Blue 15, Green 4, Yellow 5. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 12, Blue 9, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[1]
  5. 5.In a survey: Red 14, Blue 6, Green 15, Yellow 11. In a pie chart, what angle does Yellow get?[2]
  6. 6.In a survey: Red 4, Blue 13, Green 13, Yellow 11. In a pie chart, what angle does Red get?[2]
  7. 7.In a survey: Red 10, Blue 4, Green 6, Yellow 12. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 6, Blue 8, Green 12, Yellow 4. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 10, Blue 11, Green 5, Yellow 8. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 2, Blue 4, Green 2, Yellow 15. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 9, Blue 4, Green 3, Yellow 6. In a pie chart, what angle does Yellow get?[3]
  12. 12.In a survey: Red 7, Blue 4, Green 15, Yellow 8. In a pie chart, what angle does Red get?[3]
Show answers and working
  1. 1. 123.4°

    Total = 35. Blue fraction = 12/35. 12/35 × 360° = 123.4°.

  2. 2. 109.1°

    Total = 33. Green fraction = 10/33. 10/33 × 360° = 109.1°.

  3. 3. 38.9°

    Total = 37. Green fraction = 4/37. 4/37 × 360° = 38.9°.

  4. 4. 83.1°

    Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.

  5. 5. 86.1°

    Total = 46. Yellow fraction = 11/46. 11/46 × 360° = 86.1°.

  6. 6. 35.1°

    Total = 41. Red fraction = 4/41. 4/41 × 360° = 35.1°.

  7. 7. 112.5°

    Total = 32. Red fraction = 10/32. 10/32 × 360° = 112.5°.

  8. 8. 48°

    Total = 30. Yellow fraction = 4/30. 4/30 × 360° = 48°.

  9. 9. 105.9°

    Total = 34. Red fraction = 10/34. 10/34 × 360° = 105.9°.

  10. 10. 31.3°

    Total = 23. Green fraction = 2/23. 2/23 × 360° = 31.3°.

  11. 11. 98.2°

    Total = 22. Yellow fraction = 6/22. 6/22 × 360° = 98.2°.

  12. 12. 74.1°

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

Worked examples

Easy example

In a survey: Red 15, Blue 3, Green 13, Yellow 2. In a pie chart, what angle does Green get?

  1. Total = 33.
  2. Green fraction = 13/33.
  3. 13/33 × 360° = 141.8°.
  4. Answer: 141.8°
Medium example

In a survey: Red 6, Blue 14, Green 4, Yellow 15. In a pie chart, what angle does Yellow get?

  1. Total = 39.
  2. Yellow fraction = 15/39.
  3. 15/39 × 360° = 138.5°.
  4. Answer: 138.5°
Hard example

In a survey: Red 7, Blue 7, Green 10, Yellow 6. In a pie chart, what angle does Yellow get?

  1. Total = 30.
  2. Yellow fraction = 6/30.
  3. 6/30 × 360° = 72°.
  4. Answer: 72°

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.

FBISE FBI-516.1 — Mapped statement covering Working with Sampling in Context Common Errors: Visual Models.COMMON-CORE COM-216.2 — Mapped statement covering Working with Sampling in Context Common Errors: Visual Models.

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Frequently asked

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What should a learner already know before this?
Start with Working with Sampling in Context Common Errors: Worked Examples, Working with Sampling in Context Common Errors: Step-by-step Method, Rules and Methods in Sampling in Context Common Errors. Each one has its own free lesson, worksheet and quiz.
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What comes next after Working with Sampling in Context Common Errors: Visual Models?
Move on to Working with Sampling in Context Common Errors: Common Mistakes, Working with Sampling in Context Common Errors: Real-life Applications, Introduction to Sampling in Context Common Errors, Key Vocabulary of Sampling in Context Common Errors, which build directly on this idea.

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