Free Grade 3 Simplifying Ratios in Context Lessons
Free Grade 3 lessons 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
35 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 36:12.[1]
- 2.Simplify the ratio 16:8.[1]
- 3.Simplify the ratio 16:4.[1]
- 4.Simplify the ratio 16:24.[1]
- 5.Share 40 in the ratio 4:1.[2]
- 6.Share 28 in the ratio 2:2.[2]
- 7.Share 33 in the ratio 5:6.[2]
- 8.Share 48 in the ratio 1:3.[2]
- 9.Share 96 in the ratio 5:7.[3]
- 10.Share 20 in the ratio 3:7.[3]
- 11.Share 42 in the ratio 2:5.[3]
- 12.Share 99 in the ratio 5:6.[3]
Show answers and working
1. 3:1
HCF of 36 and 12 is 12. Divide both parts by it: 3:1.
2. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
3. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
4. 2:3
HCF of 16 and 24 is 8. Divide both parts by it: 2:3.
5. 32 and 8
Total parts: 4 + 1 = 5. One part: 40 ÷ 5 = 8. 4 × 8 = 32, 1 × 8 = 8.
6. 14 and 14
Total parts: 2 + 2 = 4. One part: 28 ÷ 4 = 7. 2 × 7 = 14, 2 × 7 = 14.
7. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
8. 12 and 36
Total parts: 1 + 3 = 4. One part: 48 ÷ 4 = 12. 1 × 12 = 12, 3 × 12 = 36.
9. 40 and 56
Total parts: 5 + 7 = 12. One part: 96 ÷ 12 = 8. 5 × 8 = 40, 7 × 8 = 56.
10. 6 and 14
Total parts: 3 + 7 = 10. One part: 20 ÷ 10 = 2. 3 × 2 = 6, 7 × 2 = 14.
11. 12 and 30
Total parts: 2 + 5 = 7. One part: 42 ÷ 7 = 6. 2 × 6 = 12, 5 × 6 = 30.
12. 45 and 54
Total parts: 5 + 6 = 11. One part: 99 ÷ 11 = 9. 5 × 9 = 45, 6 × 9 = 54.
Worked examples
Simplify the ratio 18:18.
- HCF of 18 and 18 is 18.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 77 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 77 ÷ 7 = 11.
- 2 × 11 = 22, 5 × 11 = 55.
- Answer: 22 and 55
Share 121 in the ratio 5:6.
- Total parts: 5 + 6 = 11.
- One part: 121 ÷ 11 = 11.
- 5 × 11 = 55, 6 × 11 = 66.
- Answer: 55 and 66
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 lesson really free?
- Yes. Every lessons 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 lesson 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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