Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Understanding Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Visual Models — Understanding: 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°.
Free
Higher
25 min
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 — understanding
Identify working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — understanding
Explain working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — understanding
Calculate working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — understanding
Compare working with introducing sampling essentials: visual models — understanding 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 — Understanding works
Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.In a survey: Red 5, Blue 7, Green 11, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 11, Blue 10, Green 14, Yellow 8. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 8, Blue 15, Green 15, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 3, Blue 9, Green 15, Yellow 3. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 4, Blue 6, Green 7, Yellow 13. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 8, Blue 10, Green 6, Yellow 9. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 2, Blue 4, Green 12, Yellow 14. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 10, Blue 2, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 4, Blue 14, Green 3, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 12, Blue 10, Green 12, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 15, Blue 11, Green 11, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 9, Green 2, Yellow 5. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 69.2°
Total = 26. Red fraction = 5/26. 5/26 × 360° = 69.2°.
2. 117.2°
Total = 43. Green fraction = 14/43. 14/43 × 360° = 117.2°.
3. 49.1°
Total = 44. Yellow fraction = 6/44. 6/44 × 360° = 49.1°.
4. 36°
Total = 30. Red fraction = 3/30. 3/30 × 360° = 36°.
5. 84°
Total = 30. Green fraction = 7/30. 7/30 × 360° = 84°.
6. 65.5°
Total = 33. Green fraction = 6/33. 6/33 × 360° = 65.5°.
7. 22.5°
Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.
8. 150°
Total = 24. Yellow fraction = 10/24. 10/24 × 360° = 150°.
9. 186.7°
Total = 27. Blue fraction = 14/27. 14/27 × 360° = 186.7°.
10. 93.9°
Total = 46. Yellow fraction = 12/46. 12/46 × 360° = 93.9°.
11. 90°
Total = 44. Blue fraction = 11/44. 11/44 × 360° = 90°.
12. 32.7°
Total = 22. Green fraction = 2/22. 2/22 × 360° = 32.7°.
Worked examples
In a survey: Red 10, Blue 12, Green 6, Yellow 2. In a pie chart, what angle does Green get?
- Total = 30.
- Green fraction = 6/30.
- 6/30 × 360° = 72°.
- Answer: 72°
In a survey: Red 3, Blue 13, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 38.
- Yellow fraction = 9/38.
- 9/38 × 360° = 85.3°.
- Answer: 85.3°
In a survey: Red 8, Blue 5, Green 9, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 13/35.
- 13/35 × 360° = 133.7°.
- Answer: 133.7°
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.
Every free resource for Working with Introducing Sampling Essentials: Visual Models — Understanding
One concept, one ecosystem — all of it free.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Working with Introducing Sampling Essentials: Visual Models — Understanding lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with 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.
- How is the lesson 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 — Understanding?
- Move on to Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Visual Models — Reasoning, Working with Introducing Sampling Essentials: Visual Models — Mastery, What is Working with Introducing Sampling Essentials, which build directly on this idea.
Related resources
- Free Working with Introducing Sampling Essentials: Visual Models — Understanding worksheets
- Free Working with Introducing Sampling Essentials: Visual Models — Understanding quizzes
- Free Working with Introducing Sampling Essentials: Visual Models — Understanding flashcards
- Free Working with Introducing Sampling Essentials: Visual Models — Understanding lesson plans
- Working with Introducing Sampling Essentials: Visual Models — Understanding in the knowledge graph
- Free AI Tutor
Stuck on Working with Introducing Sampling Essentials: Visual Models — Understanding? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor