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Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Recognition Quizzes

Free Grade 3 quizzes for Working with Introducing Sampling Essentials: Visual Models — Recognition: 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

35 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with introducing sampling essentials: visual models — recognition

    Explain working with introducing sampling essentials: visual models — recognition accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing sampling essentials: visual models — recognition

    Calculate working with introducing sampling essentials: visual models — recognition accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing sampling essentials: visual models — recognition

    Compare working with introducing sampling essentials: visual models — recognition accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with introducing sampling essentials: visual models — recognition

    Justify working with introducing sampling essentials: visual models — recognition 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 Introducing Sampling Essentials: Visual Models — Recognition 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 14, Green 9, Yellow 7. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 10, Blue 5, Green 9, Yellow 11. In a pie chart, what angle does Red get?[1]
  3. 3.In a survey: Red 4, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Blue get?[1]
  4. 4.In a survey: Red 10, Blue 7, Green 14, Yellow 10. In a pie chart, what angle does Red get?[1]
  5. 5.In a survey: Red 12, Blue 8, Green 11, Yellow 6. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 4, Blue 6, Green 12, Yellow 4. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 15, Blue 6, Green 14, Yellow 9. In a pie chart, what angle does Blue get?[2]
  8. 8.In a survey: Red 2, Blue 2, Green 10, Yellow 14. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 10, Blue 7, Green 15, Yellow 12. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 4, Blue 15, Green 6, Yellow 6. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 14, Blue 8, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?[3]
  12. 12.In a survey: Red 7, Blue 15, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?[3]
Show answers and working
  1. 1. 126°

    Total = 40. Blue fraction = 14/40. 14/40 × 360° = 126°.

  2. 2. 102.9°

    Total = 35. Red fraction = 10/35. 10/35 × 360° = 102.9°.

  3. 3. 138.5°

    Total = 26. Blue fraction = 10/26. 10/26 × 360° = 138.5°.

  4. 4. 87.8°

    Total = 41. Red fraction = 10/41. 10/41 × 360° = 87.8°.

  5. 5. 116.8°

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

  6. 6. 166.2°

    Total = 26. Green fraction = 12/26. 12/26 × 360° = 166.2°.

  7. 7. 49.1°

    Total = 44. Blue fraction = 6/44. 6/44 × 360° = 49.1°.

  8. 8. 25.7°

    Total = 28. Blue fraction = 2/28. 2/28 × 360° = 25.7°.

  9. 9. 122.7°

    Total = 44. Green fraction = 15/44. 15/44 × 360° = 122.7°.

  10. 10. 69.7°

    Total = 31. Green fraction = 6/31. 6/31 × 360° = 69.7°.

  11. 11. 98.2°

    Total = 44. Yellow fraction = 12/44. 12/44 × 360° = 98.2°.

  12. 12. 68.6°

    Total = 42. Yellow fraction = 8/42. 8/42 × 360° = 68.6°.

Worked examples

Easy example

In a survey: Red 14, Blue 4, Green 2, Yellow 8. In a pie chart, what angle does Green get?

  1. Total = 28.
  2. Green fraction = 2/28.
  3. 2/28 × 360° = 25.7°.
  4. Answer: 25.7°
Medium example

In a survey: Red 4, Blue 2, Green 10, Yellow 5. In a pie chart, what angle does Green get?

  1. Total = 21.
  2. Green fraction = 10/21.
  3. 10/21 × 360° = 171.4°.
  4. Answer: 171.4°
Hard example

In a survey: Red 12, Blue 14, Green 10, Yellow 4. In a pie chart, what angle does Yellow get?

  1. Total = 40.
  2. Yellow fraction = 4/40.
  3. 4/40 × 360° = 36°.
  4. Answer: 36°

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.

COLLEGE-BOARD COL-329.1 — Mapped statement covering Working with Introducing Sampling Essentials: Visual Models — Recognition.AQA AQA-636.2 — Mapped statement covering Working with Introducing Sampling Essentials: Visual Models — Recognition.

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Frequently asked

Is this Grade 3 Working with Introducing Sampling Essentials: Visual Models — Recognition quiz really free?
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What should a learner already know before this?
Start with Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
How is the quiz 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 Working with Introducing Sampling Essentials: Visual Models — Recognition?
Move on to Working with Introducing Sampling Essentials: Visual Models — Understanding, Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Visual Models — Reasoning, Working with Introducing Sampling Essentials: Visual Models — Mastery, which build directly on this idea.

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