Free Grade 3 Ratio Word Problems Worksheets
Free Grade 3 worksheets 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
15 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 30:40.[1]
- 2.Simplify the ratio 60:36.[1]
- 3.Simplify the ratio 8:24.[1]
- 4.Simplify the ratio 40:40.[1]
- 5.Share 12 in the ratio 5:1.[2]
- 6.Share 99 in the ratio 3:6.[2]
- 7.Share 56 in the ratio 4:3.[2]
- 8.Share 16 in the ratio 4:4.[2]
- 9.Share 18 in the ratio 3:6.[3]
- 10.Share 45 in the ratio 1:4.[3]
- 11.Share 80 in the ratio 3:7.[3]
- 12.Share 66 in the ratio 4:7.[3]
Show answers and working
1. 3:4
HCF of 30 and 40 is 10. Divide both parts by it: 3:4.
2. 5:3
HCF of 60 and 36 is 12. Divide both parts by it: 5:3.
3. 1:3
HCF of 8 and 24 is 8. Divide both parts by it: 1:3.
4. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
5. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
6. 33 and 66
Total parts: 3 + 6 = 9. One part: 99 ÷ 9 = 11. 3 × 11 = 33, 6 × 11 = 66.
7. 32 and 24
Total parts: 4 + 3 = 7. One part: 56 ÷ 7 = 8. 4 × 8 = 32, 3 × 8 = 24.
8. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
9. 6 and 12
Total parts: 3 + 6 = 9. One part: 18 ÷ 9 = 2. 3 × 2 = 6, 6 × 2 = 12.
10. 9 and 36
Total parts: 1 + 4 = 5. One part: 45 ÷ 5 = 9. 1 × 9 = 9, 4 × 9 = 36.
11. 24 and 56
Total parts: 3 + 7 = 10. One part: 80 ÷ 10 = 8. 3 × 8 = 24, 7 × 8 = 56.
12. 24 and 42
Total parts: 4 + 7 = 11. One part: 66 ÷ 11 = 6. 4 × 6 = 24, 7 × 6 = 42.
Worked examples
Simplify the ratio 40:8.
- HCF of 40 and 8 is 8.
- Divide both parts by it: 5:1.
- Answer: 5:1
Share 18 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 18 ÷ 6 = 3.
- 2 × 3 = 6, 4 × 3 = 12.
- Answer: 6 and 12
Share 54 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 54 ÷ 6 = 9.
- 1 × 9 = 9, 5 × 9 = 45.
- Answer: 9 and 45
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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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Ratio Word Problems 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 Sharing in a Ratio, Simplifying Ratios, 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 Ratio Word Problems?
- Move on to Whole Numbers, Counting, Number Recognition, Number Formation, which build directly on this idea.
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