Free Grade 3 Working with Questionnaires Common Errors Lessons
Free Grade 3 lessons for Working with Questionnaires 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with questionnaires common errors
Identify working with questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with questionnaires common errors
Explain working with questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with questionnaires common errors
Calculate working with questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with questionnaires common errors
Compare working with questionnaires 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 Working with Questionnaires 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 14, Blue 12, Green 13, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 15, Blue 13, Green 4, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 12, Blue 6, Green 5, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 9, Blue 5, Green 15, Yellow 8. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 7, Blue 3, Green 14, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 2, Blue 8, Green 5, Yellow 3. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 4, Blue 9, Green 12, Yellow 3. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 14, Blue 4, Green 10, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 9, Blue 10, Green 3, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 5, Blue 2, Green 11, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 14, Blue 13, Green 10, Yellow 2. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 7, Blue 12, Green 7, Yellow 13. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 17.6°
Total = 41. Yellow fraction = 2/41. 2/41 × 360° = 17.6°.
2. 137.6°
Total = 34. Blue fraction = 13/34. 13/34 × 360° = 137.6°.
3. 64.3°
Total = 28. Yellow fraction = 5/28. 5/28 × 360° = 64.3°.
4. 145.9°
Total = 37. Green fraction = 15/37. 15/37 × 360° = 145.9°.
5. 37.2°
Total = 29. Blue fraction = 3/29. 3/29 × 360° = 37.2°.
6. 40°
Total = 18. Red fraction = 2/18. 2/18 × 360° = 40°.
7. 51.4°
Total = 28. Red fraction = 4/28. 4/28 × 360° = 51.4°.
8. 80°
Total = 36. Yellow fraction = 8/36. 8/36 × 360° = 80°.
9. 96°
Total = 30. Yellow fraction = 8/30. 8/30 × 360° = 96°.
10. 23.2°
Total = 31. Blue fraction = 2/31. 2/31 × 360° = 23.2°.
11. 92.3°
Total = 39. Green fraction = 10/39. 10/39 × 360° = 92.3°.
12. 120°
Total = 39. Yellow fraction = 13/39. 13/39 × 360° = 120°.
Worked examples
In a survey: Red 12, Blue 7, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 8/34.
- 8/34 × 360° = 84.7°.
- Answer: 84.7°
In a survey: Red 6, Blue 2, Green 13, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 25.
- Yellow fraction = 4/25.
- 4/25 × 360° = 57.6°.
- Answer: 57.6°
In a survey: Red 2, Blue 2, Green 5, Yellow 7. In a pie chart, what angle does Green get?
- Total = 16.
- Green fraction = 5/16.
- 5/16 × 360° = 112.5°.
- Answer: 112.5°
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 Questionnaires 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 Working with Questionnaires 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 Questionnaires Word Problems, Working with Questionnaires Techniques, Introducing Questionnaires. 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 Questionnaires Common Errors?
- Move on to Introducing Questionnaires, Questionnaires in Context, which build directly on this idea.
Related resources
- Free Working with Questionnaires Common Errors worksheets
- Free Working with Questionnaires Common Errors quizzes
- Free Working with Questionnaires Common Errors flashcards
- Free Working with Questionnaires Common Errors lesson plans
- Working with Questionnaires Common Errors in the knowledge graph
- Free AI Tutor
Stuck on Working with Questionnaires Common Errors? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor