Free Grade 3 Working with Sharing in a Ratio Worksheets
Free Grade 3 worksheets for Working with Sharing in a Ratio: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sharing in a ratio
Explain working with sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sharing in a ratio
Calculate working with sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sharing in a ratio
Compare working with sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sharing in a ratio
Justify working with sharing in a ratio 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 Sharing in a Ratio 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 24:60.[1]
- 2.Simplify the ratio 30:6.[1]
- 3.Simplify the ratio 50:30.[1]
- 4.Simplify the ratio 30:12.[1]
- 5.Share 12 in the ratio 2:4.[2]
- 6.Share 50 in the ratio 4:1.[2]
- 7.Share 55 in the ratio 2:3.[2]
- 8.Share 24 in the ratio 1:3.[2]
- 9.Share 108 in the ratio 2:7.[3]
- 10.Share 25 in the ratio 3:2.[3]
- 11.Share 36 in the ratio 2:7.[3]
- 12.Share 72 in the ratio 1:5.[3]
Show answers and working
1. 2:5
HCF of 24 and 60 is 12. Divide both parts by it: 2:5.
2. 5:1
HCF of 30 and 6 is 6. Divide both parts by it: 5:1.
3. 5:3
HCF of 50 and 30 is 10. Divide both parts by it: 5:3.
4. 5:2
HCF of 30 and 12 is 6. Divide both parts by it: 5:2.
5. 4 and 8
Total parts: 2 + 4 = 6. One part: 12 ÷ 6 = 2. 2 × 2 = 4, 4 × 2 = 8.
6. 40 and 10
Total parts: 4 + 1 = 5. One part: 50 ÷ 5 = 10. 4 × 10 = 40, 1 × 10 = 10.
7. 22 and 33
Total parts: 2 + 3 = 5. One part: 55 ÷ 5 = 11. 2 × 11 = 22, 3 × 11 = 33.
8. 6 and 18
Total parts: 1 + 3 = 4. One part: 24 ÷ 4 = 6. 1 × 6 = 6, 3 × 6 = 18.
9. 24 and 84
Total parts: 2 + 7 = 9. One part: 108 ÷ 9 = 12. 2 × 12 = 24, 7 × 12 = 84.
10. 15 and 10
Total parts: 3 + 2 = 5. One part: 25 ÷ 5 = 5. 3 × 5 = 15, 2 × 5 = 10.
11. 8 and 28
Total parts: 2 + 7 = 9. One part: 36 ÷ 9 = 4. 2 × 4 = 8, 7 × 4 = 28.
12. 12 and 60
Total parts: 1 + 5 = 6. One part: 72 ÷ 6 = 12. 1 × 12 = 12, 5 × 12 = 60.
Worked examples
Simplify the ratio 24:24.
- HCF of 24 and 24 is 24.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 44 in the ratio 3:1.
- Total parts: 3 + 1 = 4.
- One part: 44 ÷ 4 = 11.
- 3 × 11 = 33, 1 × 11 = 11.
- Answer: 33 and 11
Share 60 in the ratio 4:1.
- Total parts: 4 + 1 = 5.
- One part: 60 ÷ 5 = 12.
- 4 × 12 = 48, 1 × 12 = 12.
- Answer: 48 and 12
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.
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Frequently asked
- Is this Grade 3 Working with Sharing in a Ratio 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 Introducing Sharing in a Ratio, Simplifying Ratios. 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 Working with Sharing in a Ratio?
- Move on to Sharing in a Ratio in Context, Writing Ratios, Simplifying Ratios, Ratio Word Problems, which build directly on this idea.
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