Free Grade 3 Working with Ratio Word Problems Lessons
Free Grade 3 lessons for Working with Ratio Word Problems: 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with ratio word problems
Explain working with ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with ratio word problems
Calculate working with ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with ratio word problems
Compare working with ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with ratio word problems
Justify working with ratio word problems 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 Working with Ratio Word Problems 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 24:8.[1]
- 2.Simplify the ratio 24:6.[1]
- 3.Simplify the ratio 32:32.[1]
- 4.Simplify the ratio 20:30.[1]
- 5.Share 72 in the ratio 3:3.[2]
- 6.Share 12 in the ratio 3:1.[2]
- 7.Share 100 in the ratio 4:6.[2]
- 8.Share 108 in the ratio 5:4.[2]
- 9.Share 84 in the ratio 1:6.[3]
- 10.Share 35 in the ratio 3:2.[3]
- 11.Share 70 in the ratio 3:7.[3]
- 12.Share 63 in the ratio 3:4.[3]
Show answers and working
1. 3:1
HCF of 24 and 8 is 8. Divide both parts by it: 3:1.
2. 4:1
HCF of 24 and 6 is 6. Divide both parts by it: 4:1.
3. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
4. 2:3
HCF of 20 and 30 is 10. Divide both parts by it: 2:3.
5. 36 and 36
Total parts: 3 + 3 = 6. One part: 72 ÷ 6 = 12. 3 × 12 = 36, 3 × 12 = 36.
6. 9 and 3
Total parts: 3 + 1 = 4. One part: 12 ÷ 4 = 3. 3 × 3 = 9, 1 × 3 = 3.
7. 40 and 60
Total parts: 4 + 6 = 10. One part: 100 ÷ 10 = 10. 4 × 10 = 40, 6 × 10 = 60.
8. 60 and 48
Total parts: 5 + 4 = 9. One part: 108 ÷ 9 = 12. 5 × 12 = 60, 4 × 12 = 48.
9. 12 and 72
Total parts: 1 + 6 = 7. One part: 84 ÷ 7 = 12. 1 × 12 = 12, 6 × 12 = 72.
10. 21 and 14
Total parts: 3 + 2 = 5. One part: 35 ÷ 5 = 7. 3 × 7 = 21, 2 × 7 = 14.
11. 21 and 49
Total parts: 3 + 7 = 10. One part: 70 ÷ 10 = 7. 3 × 7 = 21, 7 × 7 = 49.
12. 27 and 36
Total parts: 3 + 4 = 7. One part: 63 ÷ 7 = 9. 3 × 9 = 27, 4 × 9 = 36.
Worked examples
Simplify the ratio 60:12.
- HCF of 60 and 12 is 12.
- Divide both parts by it: 5:1.
- Answer: 5:1
Share 45 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 45 ÷ 9 = 5.
- 5 × 5 = 25, 4 × 5 = 20.
- Answer: 25 and 20
Share 72 in the ratio 5:3.
- Total parts: 5 + 3 = 8.
- One part: 72 ÷ 8 = 9.
- 5 × 9 = 45, 3 × 9 = 27.
- Answer: 45 and 27
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 Working with Ratio Word Problems
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Frequently asked
- Is this Grade 3 Working with Ratio Word Problems 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 Introducing Ratio Word Problems, Sharing in a Ratio. 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 Working with Ratio Word Problems?
- Move on to Ratio Word Problems in Context, Writing Ratios, Simplifying Ratios, Sharing in a Ratio, which build directly on this idea.
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