Free Grade 3 Introduction to Introducing Sampling Techniques Worksheets
Free Grade 3 worksheets for Introduction to Introducing Sampling 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to introducing sampling techniques
Explain introduction to introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing sampling techniques
Calculate introduction to introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing sampling techniques
Compare introduction to introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to introducing sampling techniques
Justify introduction to introducing sampling 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 Introduction to Introducing Sampling 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 9, Blue 5, Green 6, Yellow 7. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 2, Blue 8, Green 3, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 11, Blue 10, Green 4, Yellow 6. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 4, Blue 13, Green 12, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 12, Green 14, Yellow 10. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 9, Blue 15, Green 5, Yellow 2. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 8, Blue 8, Green 5, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 6, Blue 15, Green 6, Yellow 9. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 5, Blue 5, Green 8, Yellow 4. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 11, Blue 6, Green 12, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 4, Blue 12, Green 10, Yellow 6. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 8, Blue 2, Green 2, Yellow 4. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 80°
Total = 27. Green fraction = 6/27. 6/27 × 360° = 80°.
2. 137.1°
Total = 21. Blue fraction = 8/21. 8/21 × 360° = 137.1°.
3. 46.5°
Total = 31. Green fraction = 4/31. 4/31 × 360° = 46.5°.
4. 108.8°
Total = 43. Blue fraction = 13/43. 13/43 × 360° = 108.8°.
5. 98.8°
Total = 51. Green fraction = 14/51. 14/51 × 360° = 98.8°.
6. 58.1°
Total = 31. Green fraction = 5/31. 5/31 × 360° = 58.1°.
7. 82.3°
Total = 35. Blue fraction = 8/35. 8/35 × 360° = 82.3°.
8. 60°
Total = 36. Green fraction = 6/36. 6/36 × 360° = 60°.
9. 130.9°
Total = 22. Green fraction = 8/22. 8/22 × 360° = 130.9°.
10. 85.3°
Total = 38. Yellow fraction = 9/38. 9/38 × 360° = 85.3°.
11. 112.5°
Total = 32. Green fraction = 10/32. 10/32 × 360° = 112.5°.
12. 90°
Total = 16. Yellow fraction = 4/16. 4/16 × 360° = 90°.
Worked examples
In a survey: Red 4, Blue 5, Green 2, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 23.
- Blue fraction = 5/23.
- 5/23 × 360° = 78.3°.
- Answer: 78.3°
In a survey: Red 4, Blue 12, Green 8, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 35.
- Blue fraction = 12/35.
- 12/35 × 360° = 123.4°.
- Answer: 123.4°
In a survey: Red 4, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 26.
- Yellow fraction = 8/26.
- 8/26 × 360° = 110.8°.
- Answer: 110.8°
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 Introduction to Introducing Sampling 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 Introduction to Introducing Sampling Techniques worksheet really free?
- Yes. Every worksheets 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 Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Introduction to Introducing Sampling Techniques?
- Move on to Key Vocabulary of Introducing Sampling Techniques, Rules and Methods in Introducing Sampling Techniques, Working with Introducing Sampling Techniques, Introducing Sampling Techniques in Examinations, which build directly on this idea.
Related resources
- Free Introduction to Introducing Sampling Techniques quizzes
- Free Introduction to Introducing Sampling Techniques flashcards
- Free Introduction to Introducing Sampling Techniques lessons
- Free Introduction to Introducing Sampling Techniques lesson plans
- Introduction to Introducing Sampling Techniques in the knowledge graph
- Free AI Tutor
Stuck on Introduction to Introducing Sampling Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor