Free Grade 3 Sharing in a Ratio in Context Worksheets
Free Grade 3 worksheets for Sharing in a Ratio in Context: 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify sharing in a ratio in context
Identify sharing in a ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain sharing in a ratio in context
Explain sharing in a ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sharing in a ratio in context
Calculate sharing in a ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sharing in a ratio in context
Compare sharing in a ratio in context 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 Sharing in a Ratio in Context 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 12:4.[1]
- 2.Simplify the ratio 8:8.[1]
- 3.Simplify the ratio 24:8.[1]
- 4.Simplify the ratio 16:20.[1]
- 5.Share 36 in the ratio 1:3.[2]
- 6.Share 35 in the ratio 1:4.[2]
- 7.Share 18 in the ratio 2:4.[2]
- 8.Share 24 in the ratio 1:1.[2]
- 9.Share 56 in the ratio 2:5.[3]
- 10.Share 30 in the ratio 4:1.[3]
- 11.Share 108 in the ratio 5:4.[3]
- 12.Share 40 in the ratio 5:5.[3]
Show answers and working
1. 3:1
HCF of 12 and 4 is 4. Divide both parts by it: 3:1.
2. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
3. 3:1
HCF of 24 and 8 is 8. Divide both parts by it: 3:1.
4. 4:5
HCF of 16 and 20 is 4. Divide both parts by it: 4:5.
5. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
6. 7 and 28
Total parts: 1 + 4 = 5. One part: 35 ÷ 5 = 7. 1 × 7 = 7, 4 × 7 = 28.
7. 6 and 12
Total parts: 2 + 4 = 6. One part: 18 ÷ 6 = 3. 2 × 3 = 6, 4 × 3 = 12.
8. 12 and 12
Total parts: 1 + 1 = 2. One part: 24 ÷ 2 = 12. 1 × 12 = 12, 1 × 12 = 12.
9. 16 and 40
Total parts: 2 + 5 = 7. One part: 56 ÷ 7 = 8. 2 × 8 = 16, 5 × 8 = 40.
10. 24 and 6
Total parts: 4 + 1 = 5. One part: 30 ÷ 5 = 6. 4 × 6 = 24, 1 × 6 = 6.
11. 60 and 48
Total parts: 5 + 4 = 9. One part: 108 ÷ 9 = 12. 5 × 12 = 60, 4 × 12 = 48.
12. 20 and 20
Total parts: 5 + 5 = 10. One part: 40 ÷ 10 = 4. 5 × 4 = 20, 5 × 4 = 20.
Worked examples
Simplify the ratio 60:24.
- HCF of 60 and 24 is 12.
- Divide both parts by it: 5:2.
- Answer: 5:2
Share 45 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 45 ÷ 5 = 9.
- 3 × 9 = 27, 2 × 9 = 18.
- Answer: 27 and 18
Share 60 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 60 ÷ 10 = 6.
- 5 × 6 = 30, 5 × 6 = 30.
- Answer: 30 and 30
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 Sharing in a Ratio in Context 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 Working with Sharing in a Ratio, 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 Sharing in a Ratio in Context?
- Move on to Writing Ratios, Simplifying Ratios, Ratio Word Problems, which build directly on this idea.
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