Free Grade 3 Writing Ratios Worksheets
Free Grade 3 worksheets for Writing Ratios: 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
Identify writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain writing ratios
Explain writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate writing ratios
Calculate writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare writing ratios
Compare writing ratios 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 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 32:32.[1]
- 2.Simplify the ratio 40:10.[1]
- 3.Simplify the ratio 36:48.[1]
- 4.Simplify the ratio 40:16.[1]
- 5.Share 36 in the ratio 3:6.[2]
- 6.Share 36 in the ratio 3:3.[2]
- 7.Share 45 in the ratio 1:4.[2]
- 8.Share 90 in the ratio 4:6.[2]
- 9.Share 33 in the ratio 2:1.[3]
- 10.Share 80 in the ratio 2:6.[3]
- 11.Share 15 in the ratio 1:2.[3]
- 12.Share 110 in the ratio 5:5.[3]
Show answers and working
1. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
2. 4:1
HCF of 40 and 10 is 10. Divide both parts by it: 4:1.
3. 3:4
HCF of 36 and 48 is 12. Divide both parts by it: 3:4.
4. 5:2
HCF of 40 and 16 is 8. Divide both parts by it: 5:2.
5. 12 and 24
Total parts: 3 + 6 = 9. One part: 36 ÷ 9 = 4. 3 × 4 = 12, 6 × 4 = 24.
6. 18 and 18
Total parts: 3 + 3 = 6. One part: 36 ÷ 6 = 6. 3 × 6 = 18, 3 × 6 = 18.
7. 9 and 36
Total parts: 1 + 4 = 5. One part: 45 ÷ 5 = 9. 1 × 9 = 9, 4 × 9 = 36.
8. 36 and 54
Total parts: 4 + 6 = 10. One part: 90 ÷ 10 = 9. 4 × 9 = 36, 6 × 9 = 54.
9. 22 and 11
Total parts: 2 + 1 = 3. One part: 33 ÷ 3 = 11. 2 × 11 = 22, 1 × 11 = 11.
10. 20 and 60
Total parts: 2 + 6 = 8. One part: 80 ÷ 8 = 10. 2 × 10 = 20, 6 × 10 = 60.
11. 5 and 10
Total parts: 1 + 2 = 3. One part: 15 ÷ 3 = 5. 1 × 5 = 5, 2 × 5 = 10.
12. 55 and 55
Total parts: 5 + 5 = 10. One part: 110 ÷ 10 = 11. 5 × 11 = 55, 5 × 11 = 55.
Worked examples
Simplify the ratio 18:24.
- HCF of 18 and 24 is 6.
- Divide both parts by it: 3:4.
- Answer: 3:4
Share 49 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 49 ÷ 7 = 7.
- 1 × 7 = 7, 6 × 7 = 42.
- Answer: 7 and 42
Share 18 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 18 ÷ 3 = 6.
- 2 × 6 = 12, 1 × 6 = 6.
- Answer: 12 and 6
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
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 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 Complex Numbers. 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 Writing Ratios?
- Move on to Simplifying Ratios, Sharing in a Ratio, Ratio Word Problems, Whole Numbers, which build directly on this idea.
Related resources
Stuck on Writing Ratios? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor