Free Grade 3 Introducing Rational Number Line Worksheets
Free Grade 3 worksheets for Introducing Rational Number Line: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing rational number line
Explain introducing rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing rational number line
Calculate introducing rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing rational number line
Compare introducing rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing rational number line
Justify introducing rational number line 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 Rational Number Line 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 8:4.[1]
- 2.Simplify the ratio 40:40.[1]
- 3.Simplify the ratio 8:16.[1]
- 4.Simplify the ratio 50:20.[1]
- 5.Share 72 in the ratio 4:2.[2]
- 6.Share 72 in the ratio 4:4.[2]
- 7.Share 56 in the ratio 5:3.[2]
- 8.Share 6 in the ratio 1:2.[2]
- 9.Share 28 in the ratio 3:4.[3]
- 10.Share 50 in the ratio 3:7.[3]
- 11.Share 24 in the ratio 3:1.[3]
- 12.Share 66 in the ratio 3:3.[3]
Show answers and working
1. 2:1
HCF of 8 and 4 is 4. Divide both parts by it: 2:1.
2. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
3. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
4. 5:2
HCF of 50 and 20 is 10. Divide both parts by it: 5:2.
5. 48 and 24
Total parts: 4 + 2 = 6. One part: 72 ÷ 6 = 12. 4 × 12 = 48, 2 × 12 = 24.
6. 36 and 36
Total parts: 4 + 4 = 8. One part: 72 ÷ 8 = 9. 4 × 9 = 36, 4 × 9 = 36.
7. 35 and 21
Total parts: 5 + 3 = 8. One part: 56 ÷ 8 = 7. 5 × 7 = 35, 3 × 7 = 21.
8. 2 and 4
Total parts: 1 + 2 = 3. One part: 6 ÷ 3 = 2. 1 × 2 = 2, 2 × 2 = 4.
9. 12 and 16
Total parts: 3 + 4 = 7. One part: 28 ÷ 7 = 4. 3 × 4 = 12, 4 × 4 = 16.
10. 15 and 35
Total parts: 3 + 7 = 10. One part: 50 ÷ 10 = 5. 3 × 5 = 15, 7 × 5 = 35.
11. 18 and 6
Total parts: 3 + 1 = 4. One part: 24 ÷ 4 = 6. 3 × 6 = 18, 1 × 6 = 6.
12. 33 and 33
Total parts: 3 + 3 = 6. One part: 66 ÷ 6 = 11. 3 × 11 = 33, 3 × 11 = 33.
Worked examples
Simplify the ratio 16:40.
- HCF of 16 and 40 is 8.
- Divide both parts by it: 2:5.
- Answer: 2:5
Share 100 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 100 ÷ 10 = 10.
- 5 × 10 = 50, 5 × 10 = 50.
- Answer: 50 and 50
Share 30 in the ratio 1:2.
- Total parts: 1 + 2 = 3.
- One part: 30 ÷ 3 = 10.
- 1 × 10 = 10, 2 × 10 = 20.
- Answer: 10 and 20
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 Rational Number Line 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 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 Introducing Rational Number Line?
- Move on to Working with Rational Number Line, Rational Number Line in Context, Defining Rational Numbers, Operations with Rationals, which build directly on this idea.
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