Free Grade 3 Working with Introducing Sampling Common Errors: Common Mistakes Lessons
Free Grade 3 lessons for Working with Introducing Sampling 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling common errors: common mistakes
Explain working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling common errors: common mistakes
Calculate working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling common errors: common mistakes
Compare working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling common errors: common mistakes
Justify working with introducing sampling 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 Introducing Sampling 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 3, Blue 6, Green 13, Yellow 11. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 15, Blue 13, Green 6, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 12, Blue 7, Green 8, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 15, Blue 14, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 13, Blue 15, Green 14, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 14, Blue 10, Green 11, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 2, Blue 6, Green 7, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 4, Blue 6, Green 6, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 8, Green 7, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 9, Blue 4, Green 10, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 4, Blue 12, Green 12, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 14, Blue 3, Green 10, Yellow 12. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 32.7°
Total = 33. Red fraction = 3/33. 3/33 × 360° = 32.7°.
2. 123.2°
Total = 38. Blue fraction = 13/38. 13/38 × 360° = 123.2°.
3. 64.6°
Total = 39. Blue fraction = 7/39. 7/39 × 360° = 64.6°.
4. 70.4°
Total = 46. Yellow fraction = 9/46. 9/46 × 360° = 70.4°.
5. 106.4°
Total = 44. Red fraction = 13/44. 13/44 × 360° = 106.4°.
6. 78.3°
Total = 46. Blue fraction = 10/46. 10/46 × 360° = 78.3°.
7. 75.8°
Total = 19. Yellow fraction = 4/19. 4/19 × 360° = 75.8°.
8. 146.7°
Total = 27. Yellow fraction = 11/27. 11/27 × 360° = 146.7°.
9. 99.3°
Total = 29. Blue fraction = 8/29. 8/29 × 360° = 99.3°.
10. 55.4°
Total = 26. Blue fraction = 4/26. 4/26 × 360° = 55.4°.
11. 130.9°
Total = 33. Blue fraction = 12/33. 12/33 × 360° = 130.9°.
12. 27.7°
Total = 39. Blue fraction = 3/39. 3/39 × 360° = 27.7°.
Worked examples
In a survey: Red 15, Blue 10, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 49.
- Yellow fraction = 10/49.
- 10/49 × 360° = 73.5°.
- Answer: 73.5°
In a survey: Red 14, Blue 12, Green 8, Yellow 6. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 8/40.
- 8/40 × 360° = 72°.
- Answer: 72°
In a survey: Red 9, Blue 3, Green 8, Yellow 4. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 8/24.
- 8/24 × 360° = 120°.
- 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.
Every free resource for Working with Introducing Sampling 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 Introducing Sampling 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 Introducing Sampling Common Errors: Visual Models, Working with Introducing Sampling Common Errors: Worked Examples, Rules and Methods in Introducing Sampling 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 Introducing Sampling Common Errors: Common Mistakes?
- Move on to Working with Introducing Sampling Common Errors: Real-life Applications, Introduction to Introducing Sampling Common Errors, Key Vocabulary of Introducing Sampling Common Errors, Rules and Methods in Introducing Sampling Common Errors, which build directly on this idea.
Related resources
- Free Working with Introducing Sampling Common Errors: Common Mistakes worksheets
- Free Working with Introducing Sampling Common Errors: Common Mistakes quizzes
- Free Working with Introducing Sampling Common Errors: Common Mistakes flashcards
- Free Working with Introducing Sampling Common Errors: Common Mistakes lesson plans
- Working with Introducing Sampling Common Errors: Common Mistakes in the knowledge graph
- Free AI Tutor
Stuck on Working with Introducing Sampling Common Errors: Common Mistakes? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor