Free Grade 3 Introducing Writing Ratios Flashcards
Free Grade 3 flashcards for Introducing Writing 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing writing ratios
Explain introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing writing ratios
Calculate introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing writing ratios
Compare introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing writing ratios
Justify introducing writing 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 Writing 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 60:60.[1]
- 2.Simplify the ratio 12:30.[1]
- 3.Simplify the ratio 24:24.[1]
- 4.Simplify the ratio 18:24.[1]
- 5.Share 55 in the ratio 4:1.[2]
- 6.Share 72 in the ratio 5:3.[2]
- 7.Share 28 in the ratio 5:2.[2]
- 8.Share 16 in the ratio 3:1.[2]
- 9.Share 42 in the ratio 4:2.[3]
- 10.Share 33 in the ratio 1:2.[3]
- 11.Share 48 in the ratio 1:5.[3]
- 12.Share 24 in the ratio 2:2.[3]
Show answers and working
1. 1:1
HCF of 60 and 60 is 60. Divide both parts by it: 1:1.
2. 2:5
HCF of 12 and 30 is 6. Divide both parts by it: 2:5.
3. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
4. 3:4
HCF of 18 and 24 is 6. Divide both parts by it: 3:4.
5. 44 and 11
Total parts: 4 + 1 = 5. One part: 55 ÷ 5 = 11. 4 × 11 = 44, 1 × 11 = 11.
6. 45 and 27
Total parts: 5 + 3 = 8. One part: 72 ÷ 8 = 9. 5 × 9 = 45, 3 × 9 = 27.
7. 20 and 8
Total parts: 5 + 2 = 7. One part: 28 ÷ 7 = 4. 5 × 4 = 20, 2 × 4 = 8.
8. 12 and 4
Total parts: 3 + 1 = 4. One part: 16 ÷ 4 = 4. 3 × 4 = 12, 1 × 4 = 4.
9. 28 and 14
Total parts: 4 + 2 = 6. One part: 42 ÷ 6 = 7. 4 × 7 = 28, 2 × 7 = 14.
10. 11 and 22
Total parts: 1 + 2 = 3. One part: 33 ÷ 3 = 11. 1 × 11 = 11, 2 × 11 = 22.
11. 8 and 40
Total parts: 1 + 5 = 6. One part: 48 ÷ 6 = 8. 1 × 8 = 8, 5 × 8 = 40.
12. 12 and 12
Total parts: 2 + 2 = 4. One part: 24 ÷ 4 = 6. 2 × 6 = 12, 2 × 6 = 12.
Worked examples
Simplify the ratio 12:60.
- HCF of 12 and 60 is 12.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 88 in the ratio 2:6.
- Total parts: 2 + 6 = 8.
- One part: 88 ÷ 8 = 11.
- 2 × 11 = 22, 6 × 11 = 66.
- Answer: 22 and 66
Share 16 in the ratio 1:7.
- Total parts: 1 + 7 = 8.
- One part: 16 ÷ 8 = 2.
- 1 × 2 = 2, 7 × 2 = 14.
- Answer: 2 and 14
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 Introducing Writing Ratios
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Introducing Writing 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 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 Introducing Writing Ratios?
- Move on to Working with Writing Ratios, Writing Ratios in Context, Simplifying Ratios, Sharing in a Ratio, which build directly on this idea.
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