Free Grade 3 Rules and Methods in Sampling in Context Techniques Lessons
Free Grade 3 lessons for Rules and Methods in Sampling in Context Techniques: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in sampling in context techniques
Identify rules and methods in sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in sampling in context techniques
Explain rules and methods in sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in sampling in context techniques
Calculate rules and methods in sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in sampling in context techniques
Compare rules and methods in sampling in context techniques 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 Rules and Methods in Sampling in Context Techniques 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 8, Blue 11, Green 5, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 10, Blue 5, Green 10, Yellow 15. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 15, Blue 14, Green 15, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 8, Blue 12, Green 12, Yellow 3. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 11, Blue 15, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 8, Blue 11, Green 13, Yellow 13. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 7, Blue 15, Green 15, Yellow 9. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 12, Blue 9, Green 7, Yellow 5. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 11, Blue 12, Green 6, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 15, Blue 9, Green 9, Yellow 15. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 4, Blue 3, Green 5, Yellow 15. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 10, Blue 12, Green 9, Yellow 7. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
2. 90°
Total = 40. Red fraction = 10/40. 10/40 × 360° = 90°.
3. 30°
Total = 48. Yellow fraction = 4/48. 4/48 × 360° = 30°.
4. 82.3°
Total = 35. Red fraction = 8/35. 8/35 × 360° = 82.3°.
5. 117.4°
Total = 46. Blue fraction = 15/46. 15/46 × 360° = 117.4°.
6. 64°
Total = 45. Red fraction = 8/45. 8/45 × 360° = 64°.
7. 54.8°
Total = 46. Red fraction = 7/46. 7/46 × 360° = 54.8°.
8. 130.9°
Total = 33. Red fraction = 12/33. 12/33 × 360° = 130.9°.
9. 70°
Total = 36. Yellow fraction = 7/36. 7/36 × 360° = 70°.
10. 67.5°
Total = 48. Green fraction = 9/48. 9/48 × 360° = 67.5°.
11. 66.7°
Total = 27. Green fraction = 5/27. 5/27 × 360° = 66.7°.
12. 66.3°
Total = 38. Yellow fraction = 7/38. 7/38 × 360° = 66.3°.
Worked examples
In a survey: Red 3, Blue 10, Green 15, Yellow 6. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 3/34.
- 3/34 × 360° = 31.8°.
- Answer: 31.8°
In a survey: Red 8, Blue 13, Green 13, Yellow 2. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 13/36.
- 13/36 × 360° = 130°.
- Answer: 130°
In a survey: Red 8, Blue 13, Green 6, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 13/41.
- 13/41 × 360° = 114.1°.
- Answer: 114.1°
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 Rules and Methods in Sampling in Context Techniques
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 Rules and Methods in Sampling in Context Techniques 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 Key Vocabulary of Sampling in Context Techniques, Introduction to Sampling in Context Techniques, Sampling in Context Essentials. 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 Rules and Methods in Sampling in Context Techniques?
- Move on to Working with Sampling in Context Techniques, Sampling in Context Techniques in Examinations, Sampling in Context Essentials, Sampling in Context Word Problems, which build directly on this idea.
Related resources
- Free Rules and Methods in Sampling in Context Techniques worksheets
- Free Rules and Methods in Sampling in Context Techniques quizzes
- Free Rules and Methods in Sampling in Context Techniques flashcards
- Free Rules and Methods in Sampling in Context Techniques lesson plans
- Rules and Methods in Sampling in Context Techniques in the knowledge graph
- Free AI Tutor
Stuck on Rules and Methods in Sampling in Context Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor