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

Free Grade 3 flashcards 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 6, Blue 3, Green 8, Yellow 6. In a pie chart, what angle does Red get?[1]
  2. 2.In a survey: Red 8, Blue 10, Green 12, Yellow 3. In a pie chart, what angle does Yellow get?[1]
  3. 3.In a survey: Red 6, Blue 10, Green 10, Yellow 11. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 5, Blue 13, Green 4, Yellow 13. In a pie chart, what angle does Yellow get?[1]
  5. 5.In a survey: Red 4, Blue 3, Green 15, Yellow 10. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 3, Blue 11, Green 14, Yellow 2. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 2, Blue 10, Green 12, Yellow 10. In a pie chart, what angle does Green get?[2]
  8. 8.In a survey: Red 7, Blue 13, Green 4, Yellow 8. In a pie chart, what angle does Red get?[2]
  9. 9.In a survey: Red 6, Blue 7, Green 10, Yellow 2. In a pie chart, what angle does Green get?[3]
  10. 10.In a survey: Red 3, Blue 9, Green 12, Yellow 13. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 3, Blue 13, Green 13, Yellow 14. In a pie chart, what angle does Green get?[3]
  12. 12.In a survey: Red 5, Blue 8, Green 10, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 93.9°

    Total = 23. Red fraction = 6/23. 6/23 × 360° = 93.9°.

  2. 2. 32.7°

    Total = 33. Yellow fraction = 3/33. 3/33 × 360° = 32.7°.

  3. 3. 97.3°

    Total = 37. Green fraction = 10/37. 10/37 × 360° = 97.3°.

  4. 4. 133.7°

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

  5. 5. 45°

    Total = 32. Red fraction = 4/32. 4/32 × 360° = 45°.

  6. 6. 168°

    Total = 30. Green fraction = 14/30. 14/30 × 360° = 168°.

  7. 7. 127.1°

    Total = 34. Green fraction = 12/34. 12/34 × 360° = 127.1°.

  8. 8. 78.8°

    Total = 32. Red fraction = 7/32. 7/32 × 360° = 78.8°.

  9. 9. 144°

    Total = 25. Green fraction = 10/25. 10/25 × 360° = 144°.

  10. 10. 29.2°

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

  11. 11. 108.8°

    Total = 43. Green fraction = 13/43. 13/43 × 360° = 108.8°.

  12. 12. 80°

    Total = 36. Blue fraction = 8/36. 8/36 × 360° = 80°.

Worked examples

Easy example

In a survey: Red 11, Blue 4, Green 9, Yellow 11. In a pie chart, what angle does Blue get?

  1. Total = 35.
  2. Blue fraction = 4/35.
  3. 4/35 × 360° = 41.1°.
  4. Answer: 41.1°
Medium example

In a survey: Red 4, Blue 12, Green 15, Yellow 4. In a pie chart, what angle does Red get?

  1. Total = 35.
  2. Red fraction = 4/35.
  3. 4/35 × 360° = 41.1°.
  4. Answer: 41.1°
Hard example

In a survey: Red 4, Blue 2, Green 13, Yellow 2. In a pie chart, what angle does Red get?

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

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

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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.
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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 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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