Free Grade 3 Working with Simplifying Ratios Flashcards
Free Grade 3 flashcards for Working with 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with simplifying ratios
Explain working with simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with simplifying ratios
Calculate working with simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with simplifying ratios
Compare working with simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with simplifying ratios
Justify working with 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 Working with 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 16:8.[1]
- 2.Simplify the ratio 40:10.[1]
- 3.Simplify the ratio 8:8.[1]
- 4.Simplify the ratio 36:36.[1]
- 5.Share 32 in the ratio 5:3.[2]
- 6.Share 90 in the ratio 4:5.[2]
- 7.Share 30 in the ratio 4:2.[2]
- 8.Share 24 in the ratio 3:1.[2]
- 9.Share 44 in the ratio 5:6.[3]
- 10.Share 10 in the ratio 1:4.[3]
- 11.Share 16 in the ratio 3:1.[3]
- 12.Share 66 in the ratio 5:1.[3]
Show answers and working
1. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
2. 4:1
HCF of 40 and 10 is 10. Divide both parts by it: 4:1.
3. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
4. 1:1
HCF of 36 and 36 is 36. Divide both parts by it: 1:1.
5. 20 and 12
Total parts: 5 + 3 = 8. One part: 32 ÷ 8 = 4. 5 × 4 = 20, 3 × 4 = 12.
6. 40 and 50
Total parts: 4 + 5 = 9. One part: 90 ÷ 9 = 10. 4 × 10 = 40, 5 × 10 = 50.
7. 20 and 10
Total parts: 4 + 2 = 6. One part: 30 ÷ 6 = 5. 4 × 5 = 20, 2 × 5 = 10.
8. 18 and 6
Total parts: 3 + 1 = 4. One part: 24 ÷ 4 = 6. 3 × 6 = 18, 1 × 6 = 6.
9. 20 and 24
Total parts: 5 + 6 = 11. One part: 44 ÷ 11 = 4. 5 × 4 = 20, 6 × 4 = 24.
10. 2 and 8
Total parts: 1 + 4 = 5. One part: 10 ÷ 5 = 2. 1 × 2 = 2, 4 × 2 = 8.
11. 12 and 4
Total parts: 3 + 1 = 4. One part: 16 ÷ 4 = 4. 3 × 4 = 12, 1 × 4 = 4.
12. 55 and 11
Total parts: 5 + 1 = 6. One part: 66 ÷ 6 = 11. 5 × 11 = 55, 1 × 11 = 11.
Worked examples
Simplify the ratio 10:50.
- HCF of 10 and 50 is 10.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 45 in the ratio 4:1.
- Total parts: 4 + 1 = 5.
- One part: 45 ÷ 5 = 9.
- 4 × 9 = 36, 1 × 9 = 9.
- Answer: 36 and 9
Share 108 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 108 ÷ 9 = 12.
- 5 × 12 = 60, 4 × 12 = 48.
- Answer: 60 and 48
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 Working with Simplifying Ratios
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Frequently asked
- Is this Grade 3 Working with 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 Introducing Simplifying Ratios, 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 Working with Simplifying Ratios?
- Move on to Simplifying Ratios in Context, Writing Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
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