Free Grade 3 Introducing Sharing in a Ratio Flashcards
Free Grade 3 flashcards for Introducing 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sharing in a ratio
Explain introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sharing in a ratio
Calculate introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sharing in a ratio
Compare introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sharing in a ratio
Justify introducing 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 Introducing 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 4:12.[1]
- 2.Simplify the ratio 8:20.[1]
- 3.Simplify the ratio 30:12.[1]
- 4.Simplify the ratio 50:30.[1]
- 5.Share 20 in the ratio 4:6.[2]
- 6.Share 14 in the ratio 3:4.[2]
- 7.Share 45 in the ratio 2:3.[2]
- 8.Share 55 in the ratio 5:6.[2]
- 9.Share 10 in the ratio 3:2.[3]
- 10.Share 63 in the ratio 5:4.[3]
- 11.Share 24 in the ratio 1:7.[3]
- 12.Share 64 in the ratio 5:3.[3]
Show answers and working
1. 1:3
HCF of 4 and 12 is 4. Divide both parts by it: 1:3.
2. 2:5
HCF of 8 and 20 is 4. Divide both parts by it: 2:5.
3. 5:2
HCF of 30 and 12 is 6. Divide both parts by it: 5:2.
4. 5:3
HCF of 50 and 30 is 10. Divide both parts by it: 5:3.
5. 8 and 12
Total parts: 4 + 6 = 10. One part: 20 ÷ 10 = 2. 4 × 2 = 8, 6 × 2 = 12.
6. 6 and 8
Total parts: 3 + 4 = 7. One part: 14 ÷ 7 = 2. 3 × 2 = 6, 4 × 2 = 8.
7. 18 and 27
Total parts: 2 + 3 = 5. One part: 45 ÷ 5 = 9. 2 × 9 = 18, 3 × 9 = 27.
8. 25 and 30
Total parts: 5 + 6 = 11. One part: 55 ÷ 11 = 5. 5 × 5 = 25, 6 × 5 = 30.
9. 6 and 4
Total parts: 3 + 2 = 5. One part: 10 ÷ 5 = 2. 3 × 2 = 6, 2 × 2 = 4.
10. 35 and 28
Total parts: 5 + 4 = 9. One part: 63 ÷ 9 = 7. 5 × 7 = 35, 4 × 7 = 28.
11. 3 and 21
Total parts: 1 + 7 = 8. One part: 24 ÷ 8 = 3. 1 × 3 = 3, 7 × 3 = 21.
12. 40 and 24
Total parts: 5 + 3 = 8. One part: 64 ÷ 8 = 8. 5 × 8 = 40, 3 × 8 = 24.
Worked examples
Simplify the ratio 20:20.
- HCF of 20 and 20 is 20.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 36 in the ratio 3:3.
- Total parts: 3 + 3 = 6.
- One part: 36 ÷ 6 = 6.
- 3 × 6 = 18, 3 × 6 = 18.
- Answer: 18 and 18
Share 56 in the ratio 4:4.
- Total parts: 4 + 4 = 8.
- One part: 56 ÷ 8 = 7.
- 4 × 7 = 28, 4 × 7 = 28.
- Answer: 28 and 28
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
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Frequently asked
- Is this Grade 3 Introducing 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. 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 Introducing Sharing in a Ratio?
- Move on to Working with Sharing in a Ratio, Sharing in a Ratio in Context, Writing Ratios, Simplifying Ratios, which build directly on this idea.
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