Free Grade 3 Sharing in a Ratio Worksheets
Free Grade 3 worksheets 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
Stretch
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 20:20.[1]
- 2.Simplify the ratio 8:40.[1]
- 3.Simplify the ratio 6:6.[1]
- 4.Simplify the ratio 30:40.[1]
- 5.Share 35 in the ratio 1:4.[2]
- 6.Share 16 in the ratio 1:1.[2]
- 7.Share 84 in the ratio 4:3.[2]
- 8.Share 10 in the ratio 4:1.[2]
- 9.Share 9 in the ratio 2:1.[3]
- 10.Share 88 in the ratio 5:6.[3]
- 11.Share 66 in the ratio 4:7.[3]
- 12.Share 18 in the ratio 3:6.[3]
Show answers and working
1. 1:1
HCF of 20 and 20 is 20. Divide both parts by it: 1:1.
2. 1:5
HCF of 8 and 40 is 8. Divide both parts by it: 1:5.
3. 1:1
HCF of 6 and 6 is 6. Divide both parts by it: 1:1.
4. 3:4
HCF of 30 and 40 is 10. Divide both parts by it: 3:4.
5. 7 and 28
Total parts: 1 + 4 = 5. One part: 35 ÷ 5 = 7. 1 × 7 = 7, 4 × 7 = 28.
6. 8 and 8
Total parts: 1 + 1 = 2. One part: 16 ÷ 2 = 8. 1 × 8 = 8, 1 × 8 = 8.
7. 48 and 36
Total parts: 4 + 3 = 7. One part: 84 ÷ 7 = 12. 4 × 12 = 48, 3 × 12 = 36.
8. 8 and 2
Total parts: 4 + 1 = 5. One part: 10 ÷ 5 = 2. 4 × 2 = 8, 1 × 2 = 2.
9. 6 and 3
Total parts: 2 + 1 = 3. One part: 9 ÷ 3 = 3. 2 × 3 = 6, 1 × 3 = 3.
10. 40 and 48
Total parts: 5 + 6 = 11. One part: 88 ÷ 11 = 8. 5 × 8 = 40, 6 × 8 = 48.
11. 24 and 42
Total parts: 4 + 7 = 11. One part: 66 ÷ 11 = 6. 4 × 6 = 24, 7 × 6 = 42.
12. 6 and 12
Total parts: 3 + 6 = 9. One part: 18 ÷ 9 = 2. 3 × 2 = 6, 6 × 2 = 12.
Worked examples
Simplify the ratio 20:16.
- HCF of 20 and 16 is 4.
- Divide both parts by it: 5:4.
- Answer: 5:4
Share 55 in the ratio 2:3.
- Total parts: 2 + 3 = 5.
- One part: 55 ÷ 5 = 11.
- 2 × 11 = 22, 3 × 11 = 33.
- Answer: 22 and 33
Share 24 in the ratio 1:2.
- Total parts: 1 + 2 = 3.
- One part: 24 ÷ 3 = 8.
- 1 × 8 = 8, 2 × 8 = 16.
- Answer: 8 and 16
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 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 Simplifying Ratios, Writing Ratios, Complex Numbers. 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?
- Move on to Ratio Word Problems, Whole Numbers, Counting, Number Recognition, which build directly on this idea.
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