Free Grade 3 Sharing in a Ratio Lessons
Free Grade 3 lessons 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
15 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 24:40.[1]
- 2.Simplify the ratio 24:32.[1]
- 3.Simplify the ratio 30:24.[1]
- 4.Simplify the ratio 12:12.[1]
- 5.Share 80 in the ratio 3:5.[2]
- 6.Share 18 in the ratio 5:4.[2]
- 7.Share 24 in the ratio 2:1.[2]
- 8.Share 15 in the ratio 2:1.[2]
- 9.Share 72 in the ratio 2:7.[3]
- 10.Share 24 in the ratio 4:2.[3]
- 11.Share 56 in the ratio 2:5.[3]
- 12.Share 12 in the ratio 2:1.[3]
Show answers and working
1. 3:5
HCF of 24 and 40 is 8. Divide both parts by it: 3:5.
2. 3:4
HCF of 24 and 32 is 8. Divide both parts by it: 3:4.
3. 5:4
HCF of 30 and 24 is 6. Divide both parts by it: 5:4.
4. 1:1
HCF of 12 and 12 is 12. Divide both parts by it: 1:1.
5. 30 and 50
Total parts: 3 + 5 = 8. One part: 80 ÷ 8 = 10. 3 × 10 = 30, 5 × 10 = 50.
6. 10 and 8
Total parts: 5 + 4 = 9. One part: 18 ÷ 9 = 2. 5 × 2 = 10, 4 × 2 = 8.
7. 16 and 8
Total parts: 2 + 1 = 3. One part: 24 ÷ 3 = 8. 2 × 8 = 16, 1 × 8 = 8.
8. 10 and 5
Total parts: 2 + 1 = 3. One part: 15 ÷ 3 = 5. 2 × 5 = 10, 1 × 5 = 5.
9. 16 and 56
Total parts: 2 + 7 = 9. One part: 72 ÷ 9 = 8. 2 × 8 = 16, 7 × 8 = 56.
10. 16 and 8
Total parts: 4 + 2 = 6. One part: 24 ÷ 6 = 4. 4 × 4 = 16, 2 × 4 = 8.
11. 16 and 40
Total parts: 2 + 5 = 7. One part: 56 ÷ 7 = 8. 2 × 8 = 16, 5 × 8 = 40.
12. 8 and 4
Total parts: 2 + 1 = 3. One part: 12 ÷ 3 = 4. 2 × 4 = 8, 1 × 4 = 4.
Worked examples
Simplify the ratio 24:18.
- HCF of 24 and 18 is 6.
- Divide both parts by it: 4:3.
- Answer: 4:3
Share 66 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 66 ÷ 6 = 11.
- 4 × 11 = 44, 2 × 11 = 22.
- Answer: 44 and 22
Share 24 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 24 ÷ 6 = 4.
- 1 × 4 = 4, 5 × 4 = 20.
- Answer: 4 and 20
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 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, Writing Ratios, Complex Numbers. 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 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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