Free Grade 3 Working with Sampling Word Problems Lesson Plans
Free Grade 3 lesson plans for Working with Sampling Word Problems: 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 word problems
Explain working with sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling word problems
Calculate working with sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling word problems
Compare working with sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling word problems
Justify working with sampling word problems 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 Word Problems 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 6, Green 11, Yellow 4. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 14, Blue 14, Green 5, Yellow 12. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 12, Blue 2, Green 11, Yellow 13. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 6, Blue 13, Green 13, Yellow 14. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 3, Blue 6, Green 4, Yellow 14. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 4, Blue 10, Green 13, Yellow 4. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 2, Blue 12, Green 5, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 3, Blue 7, Green 5, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 15, Blue 7, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 6, Blue 11, Green 9, Yellow 12. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 12, Blue 4, Green 4, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 13, Green 2, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 116.5°
Total = 34. Green fraction = 11/34. 11/34 × 360° = 116.5°.
2. 112°
Total = 45. Red fraction = 14/45. 14/45 × 360° = 112°.
3. 104.2°
Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.
4. 101.7°
Total = 46. Green fraction = 13/46. 13/46 × 360° = 101.7°.
5. 53.3°
Total = 27. Green fraction = 4/27. 4/27 × 360° = 53.3°.
6. 46.5°
Total = 31. Red fraction = 4/31. 4/31 × 360° = 46.5°.
7. 75°
Total = 24. Yellow fraction = 5/24. 5/24 × 360° = 75°.
8. 140°
Total = 18. Blue fraction = 7/18. 7/18 × 360° = 140°.
9. 61.5°
Total = 41. Blue fraction = 7/41. 7/41 × 360° = 61.5°.
10. 85.3°
Total = 38. Green fraction = 9/38. 9/38 × 360° = 85.3°.
11. 46.5°
Total = 31. Green fraction = 4/31. 4/31 × 360° = 46.5°.
12. 151°
Total = 31. Blue fraction = 13/31. 13/31 × 360° = 151°.
Worked examples
In a survey: Red 9, Blue 11, Green 5, Yellow 11. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 5/36.
- 5/36 × 360° = 50°.
- Answer: 50°
In a survey: Red 11, Blue 13, Green 11, Yellow 3. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 11/38.
- 11/38 × 360° = 104.2°.
- Answer: 104.2°
In a survey: Red 6, Blue 3, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 19.
- Yellow fraction = 3/19.
- 3/19 × 360° = 56.8°.
- Answer: 56.8°
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 Word Problems
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 Word Problems lesson plan really free?
- Yes. Every lesson plans 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 Techniques, Working with Sampling Essentials, Introducing Sampling. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Word Problems?
- Move on to Working with Sampling Common Errors, Introducing Sampling, Sampling in Context, which build directly on this idea.
Related resources
Stuck on Working with Sampling Word Problems? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor