Free Grade 3 Writing Ratios in Context Lessons
Free Grade 3 lessons for Writing Ratios in Context: 12 real questions with a full answer key and worked solutions. A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
Free
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify writing ratios in context
Identify writing ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain writing ratios in context
Explain writing ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate writing ratios in context
Calculate writing ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare writing ratios in context
Compare writing ratios 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 Writing Ratios in Context works
A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify the ratio 48:48.[1]
- 2.Simplify the ratio 32:40.[1]
- 3.Simplify the ratio 10:10.[1]
- 4.Simplify the ratio 12:24.[1]
- 5.Share 108 in the ratio 4:5.[2]
- 6.Share 80 in the ratio 4:6.[2]
- 7.Share 48 in the ratio 2:4.[2]
- 8.Share 77 in the ratio 5:6.[2]
- 9.Share 99 in the ratio 2:7.[3]
- 10.Share 60 in the ratio 4:2.[3]
- 11.Share 49 in the ratio 5:2.[3]
- 12.Share 35 in the ratio 1:6.[3]
Show answers and working
1. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
2. 4:5
HCF of 32 and 40 is 8. Divide both parts by it: 4:5.
3. 1:1
HCF of 10 and 10 is 10. Divide both parts by it: 1:1.
4. 1:2
HCF of 12 and 24 is 12. Divide both parts by it: 1:2.
5. 48 and 60
Total parts: 4 + 5 = 9. One part: 108 ÷ 9 = 12. 4 × 12 = 48, 5 × 12 = 60.
6. 32 and 48
Total parts: 4 + 6 = 10. One part: 80 ÷ 10 = 8. 4 × 8 = 32, 6 × 8 = 48.
7. 16 and 32
Total parts: 2 + 4 = 6. One part: 48 ÷ 6 = 8. 2 × 8 = 16, 4 × 8 = 32.
8. 35 and 42
Total parts: 5 + 6 = 11. One part: 77 ÷ 11 = 7. 5 × 7 = 35, 6 × 7 = 42.
9. 22 and 77
Total parts: 2 + 7 = 9. One part: 99 ÷ 9 = 11. 2 × 11 = 22, 7 × 11 = 77.
10. 40 and 20
Total parts: 4 + 2 = 6. One part: 60 ÷ 6 = 10. 4 × 10 = 40, 2 × 10 = 20.
11. 35 and 14
Total parts: 5 + 2 = 7. One part: 49 ÷ 7 = 7. 5 × 7 = 35, 2 × 7 = 14.
12. 5 and 30
Total parts: 1 + 6 = 7. One part: 35 ÷ 7 = 5. 1 × 5 = 5, 6 × 5 = 30.
Worked examples
Simplify the ratio 24:12.
- HCF of 24 and 12 is 12.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 32 in the ratio 2:2.
- Total parts: 2 + 2 = 4.
- One part: 32 ÷ 4 = 8.
- 2 × 8 = 16, 2 × 8 = 16.
- Answer: 16 and 16
Share 110 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 110 ÷ 10 = 11.
- 4 × 11 = 44, 6 × 11 = 66.
- Answer: 44 and 66
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides the total by the ratio numbers directly.
Correction: Add the parts first to find what one part is worth.
Writes the ratio in the wrong order.
Correction: Keep the order the question uses.
Teacher tips
- · Use bar models with equal-sized boxes for each part.
Parent tips
- · Make squash in a 1:4 ratio.
Real-life applications
- · Mixing paint or squash, scaling recipes.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Writing Ratios 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 Writing Ratios 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 Writing Ratios, Introducing Writing Ratios, Complex Numbers. 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 Writing Ratios in Context?
- Move on to Simplifying Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
Related resources
Stuck on Writing Ratios in Context? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor