Free Grade 3 Sharing in a Ratio Flashcards
Free Grade 3 flashcards 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
Foundation
20 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 16:16.[1]
- 2.Simplify the ratio 40:10.[1]
- 3.Simplify the ratio 4:12.[1]
- 4.Simplify the ratio 32:8.[1]
- 5.Share 9 in the ratio 1:2.[2]
- 6.Share 44 in the ratio 2:2.[2]
- 7.Share 45 in the ratio 4:5.[2]
- 8.Share 48 in the ratio 3:3.[2]
- 9.Share 35 in the ratio 2:3.[3]
- 10.Share 90 in the ratio 5:4.[3]
- 11.Share 54 in the ratio 4:5.[3]
- 12.Share 99 in the ratio 5:4.[3]
Show answers and working
1. 1:1
HCF of 16 and 16 is 16. Divide both parts by it: 1:1.
2. 4:1
HCF of 40 and 10 is 10. Divide both parts by it: 4:1.
3. 1:3
HCF of 4 and 12 is 4. Divide both parts by it: 1:3.
4. 4:1
HCF of 32 and 8 is 8. Divide both parts by it: 4:1.
5. 3 and 6
Total parts: 1 + 2 = 3. One part: 9 ÷ 3 = 3. 1 × 3 = 3, 2 × 3 = 6.
6. 22 and 22
Total parts: 2 + 2 = 4. One part: 44 ÷ 4 = 11. 2 × 11 = 22, 2 × 11 = 22.
7. 20 and 25
Total parts: 4 + 5 = 9. One part: 45 ÷ 9 = 5. 4 × 5 = 20, 5 × 5 = 25.
8. 24 and 24
Total parts: 3 + 3 = 6. One part: 48 ÷ 6 = 8. 3 × 8 = 24, 3 × 8 = 24.
9. 14 and 21
Total parts: 2 + 3 = 5. One part: 35 ÷ 5 = 7. 2 × 7 = 14, 3 × 7 = 21.
10. 50 and 40
Total parts: 5 + 4 = 9. One part: 90 ÷ 9 = 10. 5 × 10 = 50, 4 × 10 = 40.
11. 24 and 30
Total parts: 4 + 5 = 9. One part: 54 ÷ 9 = 6. 4 × 6 = 24, 5 × 6 = 30.
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 30:18.
- HCF of 30 and 18 is 6.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 30 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 30 ÷ 10 = 3.
- 5 × 3 = 15, 5 × 3 = 15.
- Answer: 15 and 15
Share 48 in the ratio 4:4.
- Total parts: 4 + 4 = 8.
- One part: 48 ÷ 8 = 6.
- 4 × 6 = 24, 4 × 6 = 24.
- Answer: 24 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.
Every free resource for Sharing in a Ratio
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Frequently asked
- Is this Grade 3 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 Simplifying Ratios, Writing Ratios, Complex Numbers. 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?
- Move on to Ratio Word Problems, Whole Numbers, Counting, Number Recognition, which build directly on this idea.
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