Free Grade 3 Sharing in a Ratio Lesson Plans
Free Grade 3 lesson plans for 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 sharing in a ratio
Explain sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sharing in a ratio
Calculate sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sharing in a ratio
Compare sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sharing in a ratio
Justify 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 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 50:10.[1]
- 2.Simplify the ratio 6:30.[1]
- 3.Simplify the ratio 24:6.[1]
- 4.Simplify the ratio 16:24.[1]
- 5.Share 108 in the ratio 3:6.[2]
- 6.Share 50 in the ratio 3:2.[2]
- 7.Share 63 in the ratio 2:5.[2]
- 8.Share 55 in the ratio 2:3.[2]
- 9.Share 28 in the ratio 2:2.[3]
- 10.Share 14 in the ratio 4:3.[3]
- 11.Share 64 in the ratio 4:4.[3]
- 12.Share 50 in the ratio 5:5.[3]
Show answers and working
1. 5:1
HCF of 50 and 10 is 10. Divide both parts by it: 5:1.
2. 1:5
HCF of 6 and 30 is 6. Divide both parts by it: 1:5.
3. 4:1
HCF of 24 and 6 is 6. Divide both parts by it: 4:1.
4. 2:3
HCF of 16 and 24 is 8. Divide both parts by it: 2:3.
5. 36 and 72
Total parts: 3 + 6 = 9. One part: 108 ÷ 9 = 12. 3 × 12 = 36, 6 × 12 = 72.
6. 30 and 20
Total parts: 3 + 2 = 5. One part: 50 ÷ 5 = 10. 3 × 10 = 30, 2 × 10 = 20.
7. 18 and 45
Total parts: 2 + 5 = 7. One part: 63 ÷ 7 = 9. 2 × 9 = 18, 5 × 9 = 45.
8. 22 and 33
Total parts: 2 + 3 = 5. One part: 55 ÷ 5 = 11. 2 × 11 = 22, 3 × 11 = 33.
9. 14 and 14
Total parts: 2 + 2 = 4. One part: 28 ÷ 4 = 7. 2 × 7 = 14, 2 × 7 = 14.
10. 8 and 6
Total parts: 4 + 3 = 7. One part: 14 ÷ 7 = 2. 4 × 2 = 8, 3 × 2 = 6.
11. 32 and 32
Total parts: 4 + 4 = 8. One part: 64 ÷ 8 = 8. 4 × 8 = 32, 4 × 8 = 32.
12. 25 and 25
Total parts: 5 + 5 = 10. One part: 50 ÷ 10 = 5. 5 × 5 = 25, 5 × 5 = 25.
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 18 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 18 ÷ 6 = 3.
- 5 × 3 = 15, 1 × 3 = 3.
- Answer: 15 and 3
Share 28 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 28 ÷ 7 = 4.
- 1 × 4 = 4, 6 × 4 = 24.
- Answer: 4 and 24
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 lesson plan really free?
- Yes. Every lesson plans 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, Writing Ratios, Complex Numbers. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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?
- Move on to Ratio Word Problems, Whole Numbers, Counting, Number Recognition, which build directly on this idea.
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