Free Grade 3 Defining Rational Numbers in Context Worksheets
Free Grade 3 worksheets for Defining Rational Numbers 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
Foundation
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify defining rational numbers in context
Identify defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain defining rational numbers in context
Explain defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate defining rational numbers in context
Calculate defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare defining rational numbers in context
Compare defining rational numbers 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 Defining Rational Numbers 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 24:18.[1]
- 3.Simplify the ratio 18:30.[1]
- 4.Simplify the ratio 24:6.[1]
- 5.Share 54 in the ratio 3:6.[2]
- 6.Share 28 in the ratio 4:3.[2]
- 7.Share 30 in the ratio 2:1.[2]
- 8.Share 22 in the ratio 5:6.[2]
- 9.Share 66 in the ratio 1:5.[3]
- 10.Share 15 in the ratio 2:3.[3]
- 11.Share 70 in the ratio 5:2.[3]
- 12.Share 60 in the ratio 1:5.[3]
Show answers and working
1. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
2. 4:3
HCF of 24 and 18 is 6. Divide both parts by it: 4:3.
3. 3:5
HCF of 18 and 30 is 6. Divide both parts by it: 3:5.
4. 4:1
HCF of 24 and 6 is 6. Divide both parts by it: 4:1.
5. 18 and 36
Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.
6. 16 and 12
Total parts: 4 + 3 = 7. One part: 28 ÷ 7 = 4. 4 × 4 = 16, 3 × 4 = 12.
7. 20 and 10
Total parts: 2 + 1 = 3. One part: 30 ÷ 3 = 10. 2 × 10 = 20, 1 × 10 = 10.
8. 10 and 12
Total parts: 5 + 6 = 11. One part: 22 ÷ 11 = 2. 5 × 2 = 10, 6 × 2 = 12.
9. 11 and 55
Total parts: 1 + 5 = 6. One part: 66 ÷ 6 = 11. 1 × 11 = 11, 5 × 11 = 55.
10. 6 and 9
Total parts: 2 + 3 = 5. One part: 15 ÷ 5 = 3. 2 × 3 = 6, 3 × 3 = 9.
11. 50 and 20
Total parts: 5 + 2 = 7. One part: 70 ÷ 7 = 10. 5 × 10 = 50, 2 × 10 = 20.
12. 10 and 50
Total parts: 1 + 5 = 6. One part: 60 ÷ 6 = 10. 1 × 10 = 10, 5 × 10 = 50.
Worked examples
Simplify the ratio 20:12.
- HCF of 20 and 12 is 4.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 77 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 77 ÷ 7 = 11.
- 1 × 11 = 11, 6 × 11 = 66.
- Answer: 11 and 66
Share 45 in the ratio 3:6.
- Total parts: 3 + 6 = 9.
- One part: 45 ÷ 9 = 5.
- 3 × 5 = 15, 6 × 5 = 30.
- Answer: 15 and 30
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 Defining Rational Numbers 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 Defining Rational Numbers, Introducing Defining Rational Numbers, Percentages. 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?
- Move on to Rational Number Line, Operations with Rationals, which build directly on this idea.
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