Free Grade 3 Introducing Ratio Word Problems Lesson Plans
Free Grade 3 lesson plans for Introducing Ratio Word Problems: 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing ratio word problems
Explain introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing ratio word problems
Calculate introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing ratio word problems
Compare introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing ratio word problems
Justify introducing ratio word problems 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 Ratio Word Problems 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 24:60.[1]
- 2.Simplify the ratio 60:36.[1]
- 3.Simplify the ratio 48:60.[1]
- 4.Simplify the ratio 30:20.[1]
- 5.Share 24 in the ratio 2:1.[2]
- 6.Share 45 in the ratio 5:4.[2]
- 7.Share 30 in the ratio 3:2.[2]
- 8.Share 60 in the ratio 1:5.[2]
- 9.Share 70 in the ratio 2:5.[3]
- 10.Share 15 in the ratio 3:2.[3]
- 11.Share 10 in the ratio 4:1.[3]
- 12.Share 48 in the ratio 2:6.[3]
Show answers and working
1. 2:5
HCF of 24 and 60 is 12. Divide both parts by it: 2:5.
2. 5:3
HCF of 60 and 36 is 12. Divide both parts by it: 5:3.
3. 4:5
HCF of 48 and 60 is 12. Divide both parts by it: 4:5.
4. 3:2
HCF of 30 and 20 is 10. Divide both parts by it: 3:2.
5. 16 and 8
Total parts: 2 + 1 = 3. One part: 24 ÷ 3 = 8. 2 × 8 = 16, 1 × 8 = 8.
6. 25 and 20
Total parts: 5 + 4 = 9. One part: 45 ÷ 9 = 5. 5 × 5 = 25, 4 × 5 = 20.
7. 18 and 12
Total parts: 3 + 2 = 5. One part: 30 ÷ 5 = 6. 3 × 6 = 18, 2 × 6 = 12.
8. 10 and 50
Total parts: 1 + 5 = 6. One part: 60 ÷ 6 = 10. 1 × 10 = 10, 5 × 10 = 50.
9. 20 and 50
Total parts: 2 + 5 = 7. One part: 70 ÷ 7 = 10. 2 × 10 = 20, 5 × 10 = 50.
10. 9 and 6
Total parts: 3 + 2 = 5. One part: 15 ÷ 5 = 3. 3 × 3 = 9, 2 × 3 = 6.
11. 8 and 2
Total parts: 4 + 1 = 5. One part: 10 ÷ 5 = 2. 4 × 2 = 8, 1 × 2 = 2.
12. 12 and 36
Total parts: 2 + 6 = 8. One part: 48 ÷ 8 = 6. 2 × 6 = 12, 6 × 6 = 36.
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 36 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 36 ÷ 6 = 6.
- 2 × 6 = 12, 4 × 6 = 24.
- Answer: 12 and 24
Share 108 in the ratio 5:7.
- Total parts: 5 + 7 = 12.
- One part: 108 ÷ 12 = 9.
- 5 × 9 = 45, 7 × 9 = 63.
- Answer: 45 and 63
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 Ratio Word Problems lesson plan really free?
- Yes. Every lesson plans 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 Sharing in a Ratio. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Ratio Word Problems?
- Move on to Working with Ratio Word Problems, Ratio Word Problems in Context, Writing Ratios, Simplifying Ratios, which build directly on this idea.
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