Free Grade 3 Introducing Sharing in a Ratio Lessons
Free Grade 3 lessons for Introducing 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sharing in a ratio
Explain introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sharing in a ratio
Calculate introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sharing in a ratio
Compare introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sharing in a ratio
Justify introducing 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 Introducing 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 20:16.[1]
- 2.Simplify the ratio 60:36.[1]
- 3.Simplify the ratio 4:20.[1]
- 4.Simplify the ratio 8:8.[1]
- 5.Share 28 in the ratio 5:2.[2]
- 6.Share 54 in the ratio 3:6.[2]
- 7.Share 35 in the ratio 4:1.[2]
- 8.Share 40 in the ratio 1:3.[2]
- 9.Share 30 in the ratio 1:4.[3]
- 10.Share 120 in the ratio 5:7.[3]
- 11.Share 121 in the ratio 4:7.[3]
- 12.Share 110 in the ratio 5:6.[3]
Show answers and working
1. 5:4
HCF of 20 and 16 is 4. Divide both parts by it: 5:4.
2. 5:3
HCF of 60 and 36 is 12. Divide both parts by it: 5:3.
3. 1:5
HCF of 4 and 20 is 4. Divide both parts by it: 1:5.
4. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
5. 20 and 8
Total parts: 5 + 2 = 7. One part: 28 ÷ 7 = 4. 5 × 4 = 20, 2 × 4 = 8.
6. 18 and 36
Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.
7. 28 and 7
Total parts: 4 + 1 = 5. One part: 35 ÷ 5 = 7. 4 × 7 = 28, 1 × 7 = 7.
8. 10 and 30
Total parts: 1 + 3 = 4. One part: 40 ÷ 4 = 10. 1 × 10 = 10, 3 × 10 = 30.
9. 6 and 24
Total parts: 1 + 4 = 5. One part: 30 ÷ 5 = 6. 1 × 6 = 6, 4 × 6 = 24.
10. 50 and 70
Total parts: 5 + 7 = 12. One part: 120 ÷ 12 = 10. 5 × 10 = 50, 7 × 10 = 70.
11. 44 and 77
Total parts: 4 + 7 = 11. One part: 121 ÷ 11 = 11. 4 × 11 = 44, 7 × 11 = 77.
12. 50 and 60
Total parts: 5 + 6 = 11. One part: 110 ÷ 11 = 10. 5 × 10 = 50, 6 × 10 = 60.
Worked examples
Simplify the ratio 60:60.
- HCF of 60 and 60 is 60.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 64 in the ratio 4:4.
- Total parts: 4 + 4 = 8.
- One part: 64 ÷ 8 = 8.
- 4 × 8 = 32, 4 × 8 = 32.
- Answer: 32 and 32
Share 30 in the ratio 4:1.
- Total parts: 4 + 1 = 5.
- One part: 30 ÷ 5 = 6.
- 4 × 6 = 24, 1 × 6 = 6.
- Answer: 24 and 6
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 Introducing Sharing in a Ratio 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 Simplifying Ratios. 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 Introducing Sharing in a Ratio?
- Move on to Working with Sharing in a Ratio, Sharing in a Ratio in Context, Writing Ratios, Simplifying Ratios, which build directly on this idea.
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