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

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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with introducing sampling essentials: visual models — application

    Identify working with introducing sampling essentials: visual models — application accurately in a familiar context.

    Assessed by: Exit ticket of four short items

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

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

    Assessed by: Exit ticket of four short items

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

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

    Assessed by: Exit ticket of four short items

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

    Compare working with introducing sampling essentials: visual models — application 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 — Application 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 13, Green 14, Yellow 4. In a pie chart, what angle does Blue get?[1]
  2. 2.In a survey: Red 13, Blue 2, Green 13, Yellow 10. In a pie chart, what angle does Blue get?[1]
  3. 3.In a survey: Red 13, Blue 14, Green 7, Yellow 7. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 10, Blue 2, Green 7, Yellow 4. In a pie chart, what angle does Green get?[1]
  5. 5.In a survey: Red 3, Blue 15, Green 11, Yellow 15. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 7, Blue 15, Green 14, Yellow 3. In a pie chart, what angle does Blue get?[2]
  7. 7.In a survey: Red 13, Blue 6, Green 10, Yellow 6. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 13, Blue 2, Green 11, Yellow 12. In a pie chart, what angle does Green get?[2]
  9. 9.In a survey: Red 2, Blue 7, Green 13, Yellow 15. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 2, Blue 3, Green 9, Yellow 10. In a pie chart, what angle does Blue get?[3]
  11. 11.In a survey: Red 11, Blue 12, Green 8, Yellow 2. In a pie chart, what angle does Green get?[3]
  12. 12.In a survey: Red 9, Blue 8, Green 5, Yellow 3. In a pie chart, what angle does Red get?[3]
Show answers and working
  1. 1. 106.4°

    Total = 44. Blue fraction = 13/44. 13/44 × 360° = 106.4°.

  2. 2. 18.9°

    Total = 38. Blue fraction = 2/38. 2/38 × 360° = 18.9°.

  3. 3. 61.5°

    Total = 41. Green fraction = 7/41. 7/41 × 360° = 61.5°.

  4. 4. 109.6°

    Total = 23. Green fraction = 7/23. 7/23 × 360° = 109.6°.

  5. 5. 24.5°

    Total = 44. Red fraction = 3/44. 3/44 × 360° = 24.5°.

  6. 6. 138.5°

    Total = 39. Blue fraction = 15/39. 15/39 × 360° = 138.5°.

  7. 7. 133.7°

    Total = 35. Red fraction = 13/35. 13/35 × 360° = 133.7°.

  8. 8. 104.2°

    Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.

  9. 9. 126.5°

    Total = 37. Green fraction = 13/37. 13/37 × 360° = 126.5°.

  10. 10. 45°

    Total = 24. Blue fraction = 3/24. 3/24 × 360° = 45°.

  11. 11. 87.3°

    Total = 33. Green fraction = 8/33. 8/33 × 360° = 87.3°.

  12. 12. 129.6°

    Total = 25. Red fraction = 9/25. 9/25 × 360° = 129.6°.

Worked examples

Easy example

In a survey: Red 6, Blue 12, Green 14, Yellow 15. In a pie chart, what angle does Red get?

  1. Total = 47.
  2. Red fraction = 6/47.
  3. 6/47 × 360° = 46°.
  4. Answer: 46°
Medium example

In a survey: Red 11, Blue 11, Green 6, Yellow 11. In a pie chart, what angle does Green get?

  1. Total = 39.
  2. Green fraction = 6/39.
  3. 6/39 × 360° = 55.4°.
  4. Answer: 55.4°
Hard example

In a survey: Red 10, Blue 2, Green 2, Yellow 7. In a pie chart, what angle does Yellow get?

  1. Total = 21.
  2. Yellow fraction = 7/21.
  3. 7/21 × 360° = 120°.
  4. Answer: 120°

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.

CBSE CBS-927.1 — Mapped statement covering Working with Introducing Sampling Essentials: Visual Models — Application.COLLEGE-BOARD COL-306.2 — Mapped statement covering Working with Introducing Sampling Essentials: Visual Models — Application.

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Frequently asked

Is this Grade 3 Working with Introducing Sampling Essentials: Visual Models — Application quiz really free?
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What should a learner already know before this?
Start with Working with Introducing Sampling Essentials: Visual Models — Understanding, Working with Introducing Sampling Essentials: Visual Models — Recognition, Working with Introducing Sampling Essentials: Worked Examples. 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.
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Move on to Working with Introducing Sampling Essentials: Visual Models — Reasoning, Working with Introducing Sampling Essentials: Visual Models — Mastery, What is Working with Introducing Sampling Essentials, Working with Introducing Sampling Essentials: Step-by-step Method, which build directly on this idea.

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