Free Grade 3 Questionnaires Lessons
Free Grade 3 lessons for Questionnaires: 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 questionnaires
Identify questionnaires accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain questionnaires
Explain questionnaires accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate questionnaires
Calculate questionnaires accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare questionnaires
Compare questionnaires 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 Questionnaires 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 13, Blue 7, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 8, Blue 13, Green 13, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 12, Green 13, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 7, Blue 12, Green 12, Yellow 15. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 12, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 3, Blue 9, Green 14, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 13, Blue 12, Green 4, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 8, Green 13, Yellow 7. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 14, Blue 11, Green 4, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 12, Blue 15, Green 8, Yellow 5. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 5, Blue 12, Green 11, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 10, Blue 8, Green 13, Yellow 8. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 64.6°
Total = 39. Blue fraction = 7/39. 7/39 × 360° = 64.6°.
2. 88°
Total = 45. Yellow fraction = 11/45. 11/45 × 360° = 88°.
3. 63.5°
Total = 34. Red fraction = 6/34. 6/34 × 360° = 63.5°.
4. 93.9°
Total = 46. Green fraction = 12/46. 12/46 × 360° = 93.9°.
5. 28.4°
Total = 38. Yellow fraction = 3/38. 3/38 × 360° = 28.4°.
6. 168°
Total = 30. Green fraction = 14/30. 14/30 × 360° = 168°.
7. 43.6°
Total = 33. Yellow fraction = 4/33. 4/33 × 360° = 43.6°.
8. 125.6°
Total = 43. Red fraction = 15/43. 15/43 × 360° = 125.6°.
9. 132.6°
Total = 38. Red fraction = 14/38. 14/38 × 360° = 132.6°.
10. 108°
Total = 40. Red fraction = 12/40. 12/40 × 360° = 108°.
11. 108°
Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.
12. 73.8°
Total = 39. Blue fraction = 8/39. 8/39 × 360° = 73.8°.
Worked examples
In a survey: Red 12, Blue 14, Green 3, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 14/38.
- 14/38 × 360° = 132.6°.
- Answer: 132.6°
In a survey: Red 13, Blue 11, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 46.
- Yellow fraction = 14/46.
- 14/46 × 360° = 109.6°.
- Answer: 109.6°
In a survey: Red 14, Blue 11, Green 14, Yellow 2. In a pie chart, what angle does Red get?
- Total = 41.
- Red fraction = 14/41.
- 14/41 × 360° = 122.9°.
- Answer: 122.9°
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 Questionnaires
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 Questionnaires 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 Sampling, Data Presentation. 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 Questionnaires?
- Move on to Bias, Averages, Data Presentation, which build directly on this idea.
Related resources
Stuck on Questionnaires? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor