Free Grade 3 Ratio Word Problems Lessons
Free Grade 3 lessons for 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify ratio word problems
Identify ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain ratio word problems
Explain ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate ratio word problems
Calculate ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare ratio word problems
Compare 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 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 8:16.[1]
- 2.Simplify the ratio 12:36.[1]
- 3.Simplify the ratio 40:40.[1]
- 4.Simplify the ratio 16:4.[1]
- 5.Share 24 in the ratio 1:5.[2]
- 6.Share 40 in the ratio 1:4.[2]
- 7.Share 18 in the ratio 4:5.[2]
- 8.Share 96 in the ratio 4:4.[2]
- 9.Share 33 in the ratio 2:1.[3]
- 10.Share 99 in the ratio 4:5.[3]
- 11.Share 50 in the ratio 1:4.[3]
- 12.Share 18 in the ratio 1:1.[3]
Show answers and working
1. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
2. 1:3
HCF of 12 and 36 is 12. Divide both parts by it: 1:3.
3. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
4. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
5. 4 and 20
Total parts: 1 + 5 = 6. One part: 24 ÷ 6 = 4. 1 × 4 = 4, 5 × 4 = 20.
6. 8 and 32
Total parts: 1 + 4 = 5. One part: 40 ÷ 5 = 8. 1 × 8 = 8, 4 × 8 = 32.
7. 8 and 10
Total parts: 4 + 5 = 9. One part: 18 ÷ 9 = 2. 4 × 2 = 8, 5 × 2 = 10.
8. 48 and 48
Total parts: 4 + 4 = 8. One part: 96 ÷ 8 = 12. 4 × 12 = 48, 4 × 12 = 48.
9. 22 and 11
Total parts: 2 + 1 = 3. One part: 33 ÷ 3 = 11. 2 × 11 = 22, 1 × 11 = 11.
10. 44 and 55
Total parts: 4 + 5 = 9. One part: 99 ÷ 9 = 11. 4 × 11 = 44, 5 × 11 = 55.
11. 10 and 40
Total parts: 1 + 4 = 5. One part: 50 ÷ 5 = 10. 1 × 10 = 10, 4 × 10 = 40.
12. 9 and 9
Total parts: 1 + 1 = 2. One part: 18 ÷ 2 = 9. 1 × 9 = 9, 1 × 9 = 9.
Worked examples
Simplify the ratio 6:30.
- HCF of 6 and 30 is 6.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 10 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 10 ÷ 2 = 5.
- 1 × 5 = 5, 1 × 5 = 5.
- Answer: 5 and 5
Share 45 in the ratio 2:3.
- Total parts: 2 + 3 = 5.
- One part: 45 ÷ 5 = 9.
- 2 × 9 = 18, 3 × 9 = 27.
- Answer: 18 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 Ratio Word Problems
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Frequently asked
- Is this Grade 3 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 Sharing in a Ratio, Simplifying 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 Ratio Word Problems?
- Move on to Whole Numbers, Counting, Number Recognition, Number Formation, which build directly on this idea.
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