Free Grade 3 Working with Sharing in a Ratio Flashcards
Free Grade 3 flashcards for Working with 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sharing in a ratio
Explain working with sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sharing in a ratio
Calculate working with sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sharing in a ratio
Compare working with sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sharing in a ratio
Justify working with 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 Working with 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 16:20.[1]
- 2.Simplify the ratio 48:48.[1]
- 3.Simplify the ratio 40:32.[1]
- 4.Simplify the ratio 24:24.[1]
- 5.Share 50 in the ratio 4:6.[2]
- 6.Share 48 in the ratio 1:5.[2]
- 7.Share 48 in the ratio 2:6.[2]
- 8.Share 18 in the ratio 5:4.[2]
- 9.Share 80 in the ratio 1:7.[3]
- 10.Share 35 in the ratio 4:3.[3]
- 11.Share 54 in the ratio 4:2.[3]
- 12.Share 84 in the ratio 5:7.[3]
Show answers and working
1. 4:5
HCF of 16 and 20 is 4. Divide both parts by it: 4:5.
2. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
3. 5:4
HCF of 40 and 32 is 8. Divide both parts by it: 5:4.
4. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
5. 20 and 30
Total parts: 4 + 6 = 10. One part: 50 ÷ 10 = 5. 4 × 5 = 20, 6 × 5 = 30.
6. 8 and 40
Total parts: 1 + 5 = 6. One part: 48 ÷ 6 = 8. 1 × 8 = 8, 5 × 8 = 40.
7. 12 and 36
Total parts: 2 + 6 = 8. One part: 48 ÷ 8 = 6. 2 × 6 = 12, 6 × 6 = 36.
8. 10 and 8
Total parts: 5 + 4 = 9. One part: 18 ÷ 9 = 2. 5 × 2 = 10, 4 × 2 = 8.
9. 10 and 70
Total parts: 1 + 7 = 8. One part: 80 ÷ 8 = 10. 1 × 10 = 10, 7 × 10 = 70.
10. 20 and 15
Total parts: 4 + 3 = 7. One part: 35 ÷ 7 = 5. 4 × 5 = 20, 3 × 5 = 15.
11. 36 and 18
Total parts: 4 + 2 = 6. One part: 54 ÷ 6 = 9. 4 × 9 = 36, 2 × 9 = 18.
12. 35 and 49
Total parts: 5 + 7 = 12. One part: 84 ÷ 12 = 7. 5 × 7 = 35, 7 × 7 = 49.
Worked examples
Simplify the ratio 40:50.
- HCF of 40 and 50 is 10.
- Divide both parts by it: 4:5.
- Answer: 4:5
Share 36 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 36 ÷ 6 = 6.
- 2 × 6 = 12, 4 × 6 = 24.
- Answer: 12 and 24
Share 70 in the ratio 3:7.
- Total parts: 3 + 7 = 10.
- One part: 70 ÷ 10 = 7.
- 3 × 7 = 21, 7 × 7 = 49.
- Answer: 21 and 49
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 Working with Sharing in a Ratio flashcards really free?
- Yes. Every flashcards 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 Introducing Sharing in a Ratio, Simplifying Ratios. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Working with Sharing in a Ratio?
- Move on to Sharing in a Ratio in Context, Writing Ratios, Simplifying Ratios, Ratio Word Problems, which build directly on this idea.
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