Free Grade 3 Simplifying Ratios in Context Worksheets
Free Grade 3 worksheets for Simplifying Ratios in Context: 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.
- RememberIdentify simplifying ratios in context
Identify simplifying ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain simplifying ratios in context
Explain simplifying ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate simplifying ratios in context
Calculate simplifying ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare simplifying ratios in context
Compare simplifying ratios in context 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 Simplifying Ratios in Context 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 48:12.[1]
- 3.Simplify the ratio 4:20.[1]
- 4.Simplify the ratio 40:40.[1]
- 5.Share 21 in the ratio 1:2.[2]
- 6.Share 20 in the ratio 4:1.[2]
- 7.Share 36 in the ratio 4:2.[2]
- 8.Share 16 in the ratio 1:1.[2]
- 9.Share 30 in the ratio 4:6.[3]
- 10.Share 81 in the ratio 3:6.[3]
- 11.Share 32 in the ratio 1:3.[3]
- 12.Share 6 in the ratio 1:1.[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 48 and 12 is 12. Divide both parts by it: 4:1.
3. 1:5
HCF of 4 and 20 is 4. Divide both parts by it: 1:5.
4. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
5. 7 and 14
Total parts: 1 + 2 = 3. One part: 21 ÷ 3 = 7. 1 × 7 = 7, 2 × 7 = 14.
6. 16 and 4
Total parts: 4 + 1 = 5. One part: 20 ÷ 5 = 4. 4 × 4 = 16, 1 × 4 = 4.
7. 24 and 12
Total parts: 4 + 2 = 6. One part: 36 ÷ 6 = 6. 4 × 6 = 24, 2 × 6 = 12.
8. 8 and 8
Total parts: 1 + 1 = 2. One part: 16 ÷ 2 = 8. 1 × 8 = 8, 1 × 8 = 8.
9. 12 and 18
Total parts: 4 + 6 = 10. One part: 30 ÷ 10 = 3. 4 × 3 = 12, 6 × 3 = 18.
10. 27 and 54
Total parts: 3 + 6 = 9. One part: 81 ÷ 9 = 9. 3 × 9 = 27, 6 × 9 = 54.
11. 8 and 24
Total parts: 1 + 3 = 4. One part: 32 ÷ 4 = 8. 1 × 8 = 8, 3 × 8 = 24.
12. 3 and 3
Total parts: 1 + 1 = 2. One part: 6 ÷ 2 = 3. 1 × 3 = 3, 1 × 3 = 3.
Worked examples
Simplify the ratio 6:6.
- HCF of 6 and 6 is 6.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 120 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 120 ÷ 10 = 12.
- 4 × 12 = 48, 6 × 12 = 72.
- Answer: 48 and 72
Share 70 in the ratio 3:7.
- Total parts: 3 + 7 = 10.
- One part: 70 ÷ 10 = 7.
- 3 × 7 = 21, 7 × 7 = 49.
- Answer: 21 and 49
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 Simplifying Ratios in Context worksheet really free?
- Yes. Every worksheets 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 Working with Simplifying Ratios, Introducing Simplifying Ratios, Writing Ratios. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Simplifying Ratios in Context?
- Move on to Writing Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
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