Free Grade 3 Working with Sampling in Context Common Errors: Common Mistakes Lessons
Free Grade 3 lessons for Working with Sampling in Context Common Errors: Common Mistakes: 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 working with sampling in context common errors: common mistakes
Explain working with sampling in context common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling in context common errors: common mistakes
Calculate working with sampling in context common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling in context common errors: common mistakes
Compare working with sampling in context common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling in context common errors: common mistakes
Justify working with sampling in context common errors: common mistakes 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 Sampling in Context Common Errors: Common Mistakes 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 4, Blue 15, Green 6, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 7, Blue 2, Green 7, Yellow 9. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 7, Blue 7, Green 6, Yellow 9. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 4, Blue 7, Green 6, Yellow 9. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 2, Blue 5, Green 9, Yellow 14. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 4, Blue 9, Green 4, Yellow 2. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 3, Blue 5, Green 4, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 11, Blue 14, Green 9, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 5, Blue 4, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 10, Blue 5, Green 11, Yellow 5. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 6, Blue 2, Green 2, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 13, Blue 8, Green 11, Yellow 12. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 192.9°
Total = 28. Blue fraction = 15/28. 15/28 × 360° = 192.9°.
2. 100.8°
Total = 25. Green fraction = 7/25. 7/25 × 360° = 100.8°.
3. 86.9°
Total = 29. Red fraction = 7/29. 7/29 × 360° = 86.9°.
4. 55.4°
Total = 26. Red fraction = 4/26. 4/26 × 360° = 55.4°.
5. 108°
Total = 30. Green fraction = 9/30. 9/30 × 360° = 108°.
6. 75.8°
Total = 19. Red fraction = 4/19. 4/19 × 360° = 75.8°.
7. 187.2°
Total = 25. Yellow fraction = 13/25. 13/25 × 360° = 187.2°.
8. 132.6°
Total = 38. Blue fraction = 14/38. 14/38 × 360° = 132.6°.
9. 51.4°
Total = 28. Blue fraction = 4/28. 4/28 × 360° = 51.4°.
10. 116.1°
Total = 31. Red fraction = 10/31. 10/31 × 360° = 116.1°.
11. 32.7°
Total = 22. Blue fraction = 2/22. 2/22 × 360° = 32.7°.
12. 106.4°
Total = 44. Red fraction = 13/44. 13/44 × 360° = 106.4°.
Worked examples
In a survey: Red 12, Blue 6, Green 3, Yellow 3. In a pie chart, what angle does Red get?
- Total = 24.
- Red fraction = 12/24.
- 12/24 × 360° = 180°.
- Answer: 180°
In a survey: Red 15, Blue 6, Green 9, Yellow 13. In a pie chart, what angle does Green get?
- Total = 43.
- Green fraction = 9/43.
- 9/43 × 360° = 75.3°.
- Answer: 75.3°
In a survey: Red 3, Blue 2, Green 3, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 21.
- Blue fraction = 2/21.
- 2/21 × 360° = 34.3°.
- Answer: 34.3°
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 Sampling in Context Common Errors: Common Mistakes
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 Working with Sampling in Context Common Errors: Common Mistakes 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 in Context Common Errors: Visual Models, Working with Sampling in Context Common Errors: Worked Examples, Rules and Methods in Sampling in Context Common Errors. 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 Sampling in Context Common Errors: Common Mistakes?
- Move on to Working with Sampling in Context Common Errors: Real-life Applications, Introduction to Sampling in Context Common Errors, Key Vocabulary of Sampling in Context Common Errors, Rules and Methods in Sampling in Context Common Errors, which build directly on this idea.
Related resources
- Free Working with Sampling in Context Common Errors: Common Mistakes worksheets
- Free Working with Sampling in Context Common Errors: Common Mistakes quizzes
- Free Working with Sampling in Context Common Errors: Common Mistakes flashcards
- Free Working with Sampling in Context Common Errors: Common Mistakes lesson plans
- Working with Sampling in Context Common Errors: Common Mistakes in the knowledge graph
- Free AI Tutor
Stuck on Working with Sampling in Context Common Errors: Common Mistakes? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor