Free Grade 3 Defining Rational Numbers in Context Word Problems Worksheets
Free Grade 3 worksheets for Defining Rational Numbers in Context 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain defining rational numbers in context word problems
Explain defining rational numbers in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate defining rational numbers in context word problems
Calculate defining rational numbers in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare defining rational numbers in context word problems
Compare defining rational numbers in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify defining rational numbers in context word problems
Justify defining rational numbers in context 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 Defining Rational Numbers in Context 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 12:4.[1]
- 2.Simplify the ratio 32:32.[1]
- 3.Simplify the ratio 32:16.[1]
- 4.Simplify the ratio 12:18.[1]
- 5.Share 56 in the ratio 1:6.[2]
- 6.Share 27 in the ratio 1:2.[2]
- 7.Share 56 in the ratio 3:4.[2]
- 8.Share 21 in the ratio 5:2.[2]
- 9.Share 54 in the ratio 4:5.[3]
- 10.Share 30 in the ratio 5:1.[3]
- 11.Share 72 in the ratio 3:5.[3]
- 12.Share 32 in the ratio 3:5.[3]
Show answers and working
1. 3:1
HCF of 12 and 4 is 4. Divide both parts by it: 3:1.
2. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
3. 2:1
HCF of 32 and 16 is 16. Divide both parts by it: 2:1.
4. 2:3
HCF of 12 and 18 is 6. Divide both parts by it: 2:3.
5. 8 and 48
Total parts: 1 + 6 = 7. One part: 56 ÷ 7 = 8. 1 × 8 = 8, 6 × 8 = 48.
6. 9 and 18
Total parts: 1 + 2 = 3. One part: 27 ÷ 3 = 9. 1 × 9 = 9, 2 × 9 = 18.
7. 24 and 32
Total parts: 3 + 4 = 7. One part: 56 ÷ 7 = 8. 3 × 8 = 24, 4 × 8 = 32.
8. 15 and 6
Total parts: 5 + 2 = 7. One part: 21 ÷ 7 = 3. 5 × 3 = 15, 2 × 3 = 6.
9. 24 and 30
Total parts: 4 + 5 = 9. One part: 54 ÷ 9 = 6. 4 × 6 = 24, 5 × 6 = 30.
10. 25 and 5
Total parts: 5 + 1 = 6. One part: 30 ÷ 6 = 5. 5 × 5 = 25, 1 × 5 = 5.
11. 27 and 45
Total parts: 3 + 5 = 8. One part: 72 ÷ 8 = 9. 3 × 9 = 27, 5 × 9 = 45.
12. 12 and 20
Total parts: 3 + 5 = 8. One part: 32 ÷ 8 = 4. 3 × 4 = 12, 5 × 4 = 20.
Worked examples
Simplify the ratio 50:20.
- HCF of 50 and 20 is 10.
- Divide both parts by it: 5:2.
- Answer: 5:2
Share 63 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 63 ÷ 9 = 7.
- 5 × 7 = 35, 4 × 7 = 28.
- Answer: 35 and 28
Share 49 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 49 ÷ 7 = 7.
- 1 × 7 = 7, 6 × 7 = 42.
- Answer: 7 and 42
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
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- What should a learner already know before this?
- Start with Defining Rational Numbers in Context Techniques, Defining Rational Numbers in Context Essentials, Working with Defining Rational Numbers. 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 Defining Rational Numbers in Context Word Problems?
- Move on to Defining Rational Numbers in Context Common Errors, Introducing Defining Rational Numbers, Working with Defining Rational Numbers, which build directly on this idea.
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