Free Grade 3 Introduction to Working with Sampling Common Errors Lessons
Free Grade 3 lessons for Introduction to Working with Sampling Common Errors: 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to working with sampling common errors
Explain introduction to working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to working with sampling common errors
Calculate introduction to working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to working with sampling common errors
Compare introduction to working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to working with sampling common errors
Justify introduction to working with sampling common errors 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 Introduction to Working with Sampling Common Errors 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 3, Blue 3, Green 2, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 8, Blue 12, Green 5, Yellow 3. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 2, Blue 6, Green 6, Yellow 9. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 3, Blue 6, Green 8, Yellow 4. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 11, Blue 8, Green 14, Yellow 10. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 7, Blue 10, Green 8, Yellow 4. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 9, Blue 9, Green 2, Yellow 11. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 4, Blue 2, Green 10, Yellow 7. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 11, Blue 12, Green 6, Yellow 5. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 8, Blue 8, Green 8, Yellow 11. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 15, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 2, Blue 7, Green 3, Yellow 15. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 154.3°
Total = 14. Yellow fraction = 6/14. 6/14 × 360° = 154.3°.
2. 64.3°
Total = 28. Green fraction = 5/28. 5/28 × 360° = 64.3°.
3. 31.3°
Total = 23. Red fraction = 2/23. 2/23 × 360° = 31.3°.
4. 137.1°
Total = 21. Green fraction = 8/21. 8/21 × 360° = 137.1°.
5. 117.2°
Total = 43. Green fraction = 14/43. 14/43 × 360° = 117.2°.
6. 86.9°
Total = 29. Red fraction = 7/29. 7/29 × 360° = 86.9°.
7. 104.5°
Total = 31. Red fraction = 9/31. 9/31 × 360° = 104.5°.
8. 62.6°
Total = 23. Red fraction = 4/23. 4/23 × 360° = 62.6°.
9. 63.5°
Total = 34. Green fraction = 6/34. 6/34 × 360° = 63.5°.
10. 82.3°
Total = 35. Green fraction = 8/35. 8/35 × 360° = 82.3°.
11. 70.2°
Total = 41. Yellow fraction = 8/41. 8/41 × 360° = 70.2°.
12. 93.3°
Total = 27. Blue fraction = 7/27. 7/27 × 360° = 93.3°.
Worked examples
In a survey: Red 8, Blue 3, Green 14, Yellow 6. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 8/31.
- 8/31 × 360° = 92.9°.
- Answer: 92.9°
In a survey: Red 8, Blue 7, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 7/34.
- 7/34 × 360° = 74.1°.
- Answer: 74.1°
In a survey: Red 12, Blue 14, Green 5, Yellow 9. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 12/40.
- 12/40 × 360° = 108°.
- Answer: 108°
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 Introduction to Working with Sampling Common Errors
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
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 Introduction to Working with Sampling Common Errors 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 Sampling Word Problems. 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 Introduction to Working with Sampling Common Errors?
- Move on to Key Vocabulary of Working with Sampling Common Errors, Rules and Methods in Working with Sampling Common Errors, Working with Working with Sampling Common Errors, Working with Sampling Common Errors in Examinations, which build directly on this idea.
Related resources
- Free Introduction to Working with Sampling Common Errors worksheets
- Free Introduction to Working with Sampling Common Errors quizzes
- Free Introduction to Working with Sampling Common Errors flashcards
- Free Introduction to Working with Sampling Common Errors lesson plans
- Introduction to Working with Sampling Common Errors in the knowledge graph
- Free AI Tutor
Stuck on Introduction to Working with Sampling Common Errors? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor