Free Grade 3 Working with Defining Rational Numbers Word Problems Lesson Plans
Free Grade 3 lesson plans for Working with Defining Rational Numbers 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
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30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with defining rational numbers word problems
Explain working with defining rational numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with defining rational numbers word problems
Calculate working with defining rational numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with defining rational numbers word problems
Compare working with defining rational numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with defining rational numbers word problems
Justify working with defining rational numbers 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 Working with Defining Rational Numbers 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 60:24.[1]
- 2.Simplify the ratio 50:20.[1]
- 3.Simplify the ratio 16:4.[1]
- 4.Simplify the ratio 12:20.[1]
- 5.Share 54 in the ratio 4:5.[2]
- 6.Share 72 in the ratio 5:4.[2]
- 7.Share 84 in the ratio 4:3.[2]
- 8.Share 84 in the ratio 2:5.[2]
- 9.Share 18 in the ratio 1:5.[3]
- 10.Share 16 in the ratio 4:4.[3]
- 11.Share 110 in the ratio 5:6.[3]
- 12.Share 12 in the ratio 2:2.[3]
Show answers and working
1. 5:2
HCF of 60 and 24 is 12. Divide both parts by it: 5:2.
2. 5:2
HCF of 50 and 20 is 10. Divide both parts by it: 5:2.
3. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
4. 3:5
HCF of 12 and 20 is 4. Divide both parts by it: 3:5.
5. 24 and 30
Total parts: 4 + 5 = 9. One part: 54 ÷ 9 = 6. 4 × 6 = 24, 5 × 6 = 30.
6. 40 and 32
Total parts: 5 + 4 = 9. One part: 72 ÷ 9 = 8. 5 × 8 = 40, 4 × 8 = 32.
7. 48 and 36
Total parts: 4 + 3 = 7. One part: 84 ÷ 7 = 12. 4 × 12 = 48, 3 × 12 = 36.
8. 24 and 60
Total parts: 2 + 5 = 7. One part: 84 ÷ 7 = 12. 2 × 12 = 24, 5 × 12 = 60.
9. 3 and 15
Total parts: 1 + 5 = 6. One part: 18 ÷ 6 = 3. 1 × 3 = 3, 5 × 3 = 15.
10. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
11. 50 and 60
Total parts: 5 + 6 = 11. One part: 110 ÷ 11 = 10. 5 × 10 = 50, 6 × 10 = 60.
12. 6 and 6
Total parts: 2 + 2 = 4. One part: 12 ÷ 4 = 3. 2 × 3 = 6, 2 × 3 = 6.
Worked examples
Simplify the ratio 10:30.
- HCF of 10 and 30 is 10.
- Divide both parts by it: 1:3.
- Answer: 1:3
Share 36 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 36 ÷ 9 = 4.
- 4 × 4 = 16, 5 × 4 = 20.
- Answer: 16 and 20
Share 56 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 56 ÷ 7 = 8.
- 2 × 8 = 16, 5 × 8 = 40.
- Answer: 16 and 40
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
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Frequently asked
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- What should a learner already know before this?
- Start with Working with Defining Rational Numbers Techniques, Working with Defining Rational Numbers Essentials, Introducing Defining Rational Numbers. 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 Working with Defining Rational Numbers Word Problems?
- Move on to Working with Defining Rational Numbers Common Errors, Introducing Defining Rational Numbers, Defining Rational Numbers in Context, which build directly on this idea.
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