Free Grade 3 Introducing Simplifying Ratios Flashcards
Free Grade 3 flashcards for Introducing Simplifying Ratios: 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 introducing simplifying ratios
Explain introducing simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing simplifying ratios
Calculate introducing simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing simplifying ratios
Compare introducing simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing simplifying ratios
Justify introducing simplifying ratios 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 Simplifying Ratios 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 60:36.[1]
- 2.Simplify the ratio 20:16.[1]
- 3.Simplify the ratio 12:36.[1]
- 4.Simplify the ratio 16:4.[1]
- 5.Share 60 in the ratio 1:5.[2]
- 6.Share 44 in the ratio 5:6.[2]
- 7.Share 40 in the ratio 1:3.[2]
- 8.Share 49 in the ratio 1:6.[2]
- 9.Share 56 in the ratio 4:4.[3]
- 10.Share 8 in the ratio 1:1.[3]
- 11.Share 16 in the ratio 1:7.[3]
- 12.Share 30 in the ratio 3:2.[3]
Show answers and working
1. 5:3
HCF of 60 and 36 is 12. Divide both parts by it: 5:3.
2. 5:4
HCF of 20 and 16 is 4. Divide both parts by it: 5:4.
3. 1:3
HCF of 12 and 36 is 12. Divide both parts by it: 1:3.
4. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
5. 10 and 50
Total parts: 1 + 5 = 6. One part: 60 ÷ 6 = 10. 1 × 10 = 10, 5 × 10 = 50.
6. 20 and 24
Total parts: 5 + 6 = 11. One part: 44 ÷ 11 = 4. 5 × 4 = 20, 6 × 4 = 24.
7. 10 and 30
Total parts: 1 + 3 = 4. One part: 40 ÷ 4 = 10. 1 × 10 = 10, 3 × 10 = 30.
8. 7 and 42
Total parts: 1 + 6 = 7. One part: 49 ÷ 7 = 7. 1 × 7 = 7, 6 × 7 = 42.
9. 28 and 28
Total parts: 4 + 4 = 8. One part: 56 ÷ 8 = 7. 4 × 7 = 28, 4 × 7 = 28.
10. 4 and 4
Total parts: 1 + 1 = 2. One part: 8 ÷ 2 = 4. 1 × 4 = 4, 1 × 4 = 4.
11. 2 and 14
Total parts: 1 + 7 = 8. One part: 16 ÷ 8 = 2. 1 × 2 = 2, 7 × 2 = 14.
12. 18 and 12
Total parts: 3 + 2 = 5. One part: 30 ÷ 5 = 6. 3 × 6 = 18, 2 × 6 = 12.
Worked examples
Simplify the ratio 16:32.
- HCF of 16 and 32 is 16.
- Divide both parts by it: 1:2.
- Answer: 1:2
Share 66 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 66 ÷ 6 = 11.
- 5 × 11 = 55, 1 × 11 = 11.
- Answer: 55 and 11
Share 110 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 110 ÷ 10 = 11.
- 5 × 11 = 55, 5 × 11 = 55.
- Answer: 55 and 55
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 Introducing Simplifying Ratios 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 Writing 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 Simplifying Ratios?
- Move on to Working with Simplifying Ratios, Simplifying Ratios in Context, Writing Ratios, Sharing in a Ratio, which build directly on this idea.
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