Free Grade 3 Histograms in Context Lessons
Free Grade 3 lessons for Histograms in Context: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain histograms in context
Explain histograms in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate histograms in context
Calculate histograms in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare histograms in context
Compare histograms in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify histograms in context
Justify histograms in context 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 Histograms in Context 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 3, Blue 12, Green 8, Yellow 2. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 6, Blue 7, Green 10, Yellow 6. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 7, Blue 6, Green 2, Yellow 9. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 4, Blue 4, Green 2, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 4, Blue 15, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 14, Blue 11, Green 5, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 9, Blue 10, Green 14, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 3, Blue 13, Green 11, Yellow 15. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 12, Blue 2, Green 3, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 15, Green 6, Yellow 7. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 3, Blue 8, Green 8, Yellow 12. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 12, Blue 5, Green 4, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 115.2°
Total = 25. Green fraction = 8/25. 8/25 × 360° = 115.2°.
2. 74.5°
Total = 29. Red fraction = 6/29. 6/29 × 360° = 74.5°.
3. 30°
Total = 24. Green fraction = 2/24. 2/24 × 360° = 30°.
4. 60°
Total = 12. Yellow fraction = 2/12. 2/12 × 360° = 60°.
5. 73.8°
Total = 39. Yellow fraction = 8/39. 8/39 × 360° = 73.8°.
6. 52.9°
Total = 34. Green fraction = 5/34. 5/34 × 360° = 52.9°.
7. 70.4°
Total = 46. Red fraction = 9/46. 9/46 × 360° = 70.4°.
8. 25.7°
Total = 42. Red fraction = 3/42. 3/42 × 360° = 25.7°.
9. 22.5°
Total = 32. Blue fraction = 2/32. 2/32 × 360° = 22.5°.
10. 55.4°
Total = 39. Green fraction = 6/39. 6/39 × 360° = 55.4°.
11. 34.8°
Total = 31. Red fraction = 3/31. 3/31 × 360° = 34.8°.
12. 52.9°
Total = 34. Blue fraction = 5/34. 5/34 × 360° = 52.9°.
Worked examples
In a survey: Red 15, Blue 11, Green 11, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 39.
- Yellow fraction = 2/39.
- 2/39 × 360° = 18.5°.
- Answer: 18.5°
In a survey: Red 12, Blue 13, Green 5, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 39.
- Blue fraction = 13/39.
- 13/39 × 360° = 120°.
- Answer: 120°
In a survey: Red 7, Blue 10, Green 14, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 10/34.
- 10/34 × 360° = 105.9°.
- Answer: 105.9°
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 Histograms in Context
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 Histograms in Context 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 Working with Histograms, Introducing Histograms, Scatter Graphs. 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 Histograms in Context?
- Move on to Bar Charts, Pie Charts, Line Graphs, Scatter Graphs, which build directly on this idea.
Related resources
Stuck on Histograms in Context? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor