Free Grade 3 Introducing Ratio Word Problems Worksheets
Free Grade 3 worksheets for Introducing 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing ratio word problems
Explain introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing ratio word problems
Calculate introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing ratio word problems
Compare introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing ratio word problems
Justify introducing 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 Introducing 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 30:30.[1]
- 2.Simplify the ratio 12:60.[1]
- 3.Simplify the ratio 8:16.[1]
- 4.Simplify the ratio 50:30.[1]
- 5.Share 12 in the ratio 3:3.[2]
- 6.Share 22 in the ratio 1:1.[2]
- 7.Share 12 in the ratio 1:3.[2]
- 8.Share 54 in the ratio 5:1.[2]
- 9.Share 24 in the ratio 1:3.[3]
- 10.Share 40 in the ratio 1:3.[3]
- 11.Share 33 in the ratio 4:7.[3]
- 12.Share 44 in the ratio 5:6.[3]
Show answers and working
1. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
2. 1:5
HCF of 12 and 60 is 12. Divide both parts by it: 1:5.
3. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
4. 5:3
HCF of 50 and 30 is 10. Divide both parts by it: 5:3.
5. 6 and 6
Total parts: 3 + 3 = 6. One part: 12 ÷ 6 = 2. 3 × 2 = 6, 3 × 2 = 6.
6. 11 and 11
Total parts: 1 + 1 = 2. One part: 22 ÷ 2 = 11. 1 × 11 = 11, 1 × 11 = 11.
7. 3 and 9
Total parts: 1 + 3 = 4. One part: 12 ÷ 4 = 3. 1 × 3 = 3, 3 × 3 = 9.
8. 45 and 9
Total parts: 5 + 1 = 6. One part: 54 ÷ 6 = 9. 5 × 9 = 45, 1 × 9 = 9.
9. 6 and 18
Total parts: 1 + 3 = 4. One part: 24 ÷ 4 = 6. 1 × 6 = 6, 3 × 6 = 18.
10. 10 and 30
Total parts: 1 + 3 = 4. One part: 40 ÷ 4 = 10. 1 × 10 = 10, 3 × 10 = 30.
11. 12 and 21
Total parts: 4 + 7 = 11. One part: 33 ÷ 11 = 3. 4 × 3 = 12, 7 × 3 = 21.
12. 20 and 24
Total parts: 5 + 6 = 11. One part: 44 ÷ 11 = 4. 5 × 4 = 20, 6 × 4 = 24.
Worked examples
Simplify the ratio 12:16.
- HCF of 12 and 16 is 4.
- Divide both parts by it: 3:4.
- Answer: 3:4
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 40 in the ratio 4:1.
- Total parts: 4 + 1 = 5.
- One part: 40 ÷ 5 = 8.
- 4 × 8 = 32, 1 × 8 = 8.
- Answer: 32 and 8
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 Introducing Ratio Word Problems
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Frequently asked
- Is this Grade 3 Introducing 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. 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 Introducing Ratio Word Problems?
- Move on to Working with Ratio Word Problems, Ratio Word Problems in Context, Writing Ratios, Simplifying Ratios, which build directly on this idea.
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