Free Grade 3 Sharing in a Ratio in Context Flashcards
Free Grade 3 flashcards for Sharing in a Ratio in Context: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify sharing in a ratio in context
Identify sharing in a ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain sharing in a ratio in context
Explain sharing in a ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sharing in a ratio in context
Calculate sharing in a ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sharing in a ratio in context
Compare sharing in a ratio in context 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 in Context 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 24:36.[1]
- 2.Simplify the ratio 18:24.[1]
- 3.Simplify the ratio 8:40.[1]
- 4.Simplify the ratio 24:24.[1]
- 5.Share 60 in the ratio 5:5.[2]
- 6.Share 63 in the ratio 3:4.[2]
- 7.Share 40 in the ratio 4:4.[2]
- 8.Share 36 in the ratio 1:3.[2]
- 9.Share 54 in the ratio 2:4.[3]
- 10.Share 45 in the ratio 3:6.[3]
- 11.Share 100 in the ratio 5:5.[3]
- 12.Share 99 in the ratio 5:4.[3]
Show answers and working
1. 2:3
HCF of 24 and 36 is 12. Divide both parts by it: 2:3.
2. 3:4
HCF of 18 and 24 is 6. Divide both parts by it: 3:4.
3. 1:5
HCF of 8 and 40 is 8. Divide both parts by it: 1:5.
4. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
5. 30 and 30
Total parts: 5 + 5 = 10. One part: 60 ÷ 10 = 6. 5 × 6 = 30, 5 × 6 = 30.
6. 27 and 36
Total parts: 3 + 4 = 7. One part: 63 ÷ 7 = 9. 3 × 9 = 27, 4 × 9 = 36.
7. 20 and 20
Total parts: 4 + 4 = 8. One part: 40 ÷ 8 = 5. 4 × 5 = 20, 4 × 5 = 20.
8. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
9. 18 and 36
Total parts: 2 + 4 = 6. One part: 54 ÷ 6 = 9. 2 × 9 = 18, 4 × 9 = 36.
10. 15 and 30
Total parts: 3 + 6 = 9. One part: 45 ÷ 9 = 5. 3 × 5 = 15, 6 × 5 = 30.
11. 50 and 50
Total parts: 5 + 5 = 10. One part: 100 ÷ 10 = 10. 5 × 10 = 50, 5 × 10 = 50.
12. 55 and 44
Total parts: 5 + 4 = 9. One part: 99 ÷ 9 = 11. 5 × 11 = 55, 4 × 11 = 44.
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 12 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 12 ÷ 6 = 2.
- 4 × 2 = 8, 2 × 2 = 4.
- Answer: 8 and 4
Share 30 in the ratio 1:4.
- Total parts: 1 + 4 = 5.
- One part: 30 ÷ 5 = 6.
- 1 × 6 = 6, 4 × 6 = 24.
- Answer: 6 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 in Context 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 Working with Sharing in a Ratio, 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 Sharing in a Ratio in Context?
- Move on to Writing Ratios, Simplifying Ratios, Ratio Word Problems, which build directly on this idea.
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