Free Grade 3 Introducing Histograms Techniques Worksheets
Free Grade 3 worksheets for Introducing Histograms 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing histograms techniques
Explain introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms techniques
Calculate introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms techniques
Compare introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing histograms techniques
Justify introducing histograms 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 Introducing Histograms 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 13, Blue 14, Green 8, Yellow 8. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 4, Blue 6, Green 15, Yellow 12. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 15, Blue 3, Green 3, Yellow 8. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 10, Blue 11, Green 2, Yellow 4. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 6, Blue 5, Green 5, Yellow 12. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 3, Blue 12, Green 4, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 3, Blue 2, Green 4, Yellow 9. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 12, Blue 2, Green 6, Yellow 14. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 2, Blue 12, Green 11, Yellow 4. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 12, Blue 11, Green 7, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 2, Blue 7, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 10, Blue 10, Green 5, Yellow 4. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 108.8°
Total = 43. Red fraction = 13/43. 13/43 × 360° = 108.8°.
2. 145.9°
Total = 37. Green fraction = 15/37. 15/37 × 360° = 145.9°.
3. 37.2°
Total = 29. Green fraction = 3/29. 3/29 × 360° = 37.2°.
4. 26.7°
Total = 27. Green fraction = 2/27. 2/27 × 360° = 26.7°.
5. 77.1°
Total = 28. Red fraction = 6/28. 6/28 × 360° = 77.1°.
6. 86.4°
Total = 25. Yellow fraction = 6/25. 6/25 × 360° = 86.4°.
7. 80°
Total = 18. Green fraction = 4/18. 4/18 × 360° = 80°.
8. 127.1°
Total = 34. Red fraction = 12/34. 12/34 × 360° = 127.1°.
9. 24.8°
Total = 29. Red fraction = 2/29. 2/29 × 360° = 24.8°.
10. 22.5°
Total = 32. Yellow fraction = 2/32. 2/32 × 360° = 22.5°.
11. 68.1°
Total = 37. Blue fraction = 7/37. 7/37 × 360° = 68.1°.
12. 124.1°
Total = 29. Red fraction = 10/29. 10/29 × 360° = 124.1°.
Worked examples
In a survey: Red 3, Blue 7, Green 4, Yellow 10. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 4/24.
- 4/24 × 360° = 60°.
- Answer: 60°
In a survey: Red 15, Blue 12, Green 4, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 39.
- Blue fraction = 12/39.
- 12/39 × 360° = 110.8°.
- Answer: 110.8°
In a survey: Red 14, Blue 4, Green 9, Yellow 13. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 9/40.
- 9/40 × 360° = 81°.
- Answer: 81°
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 Introducing Histograms 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 Introducing Histograms 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 Histograms Essentials, Scatter Graphs. 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 Introducing Histograms Techniques?
- Move on to Introducing Histograms Word Problems, Introducing Histograms Common Errors, Working with Histograms, Histograms in Context, which build directly on this idea.
Related resources
Stuck on Introducing Histograms Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor