Free Grade 3 Rational Number Line Worksheets
Free Grade 3 worksheets for 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rational number line
Identify rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rational number line
Explain rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rational number line
Calculate rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rational number line
Compare 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 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 16:8.[1]
- 2.Simplify the ratio 12:24.[1]
- 3.Simplify the ratio 20:12.[1]
- 4.Simplify the ratio 4:16.[1]
- 5.Share 49 in the ratio 5:2.[2]
- 6.Share 72 in the ratio 2:6.[2]
- 7.Share 20 in the ratio 1:4.[2]
- 8.Share 110 in the ratio 4:6.[2]
- 9.Share 44 in the ratio 3:1.[3]
- 10.Share 44 in the ratio 1:3.[3]
- 11.Share 42 in the ratio 3:4.[3]
- 12.Share 42 in the ratio 4:2.[3]
Show answers and working
1. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
2. 1:2
HCF of 12 and 24 is 12. Divide both parts by it: 1:2.
3. 5:3
HCF of 20 and 12 is 4. Divide both parts by it: 5:3.
4. 1:4
HCF of 4 and 16 is 4. Divide both parts by it: 1:4.
5. 35 and 14
Total parts: 5 + 2 = 7. One part: 49 ÷ 7 = 7. 5 × 7 = 35, 2 × 7 = 14.
6. 18 and 54
Total parts: 2 + 6 = 8. One part: 72 ÷ 8 = 9. 2 × 9 = 18, 6 × 9 = 54.
7. 4 and 16
Total parts: 1 + 4 = 5. One part: 20 ÷ 5 = 4. 1 × 4 = 4, 4 × 4 = 16.
8. 44 and 66
Total parts: 4 + 6 = 10. One part: 110 ÷ 10 = 11. 4 × 11 = 44, 6 × 11 = 66.
9. 33 and 11
Total parts: 3 + 1 = 4. One part: 44 ÷ 4 = 11. 3 × 11 = 33, 1 × 11 = 11.
10. 11 and 33
Total parts: 1 + 3 = 4. One part: 44 ÷ 4 = 11. 1 × 11 = 11, 3 × 11 = 33.
11. 18 and 24
Total parts: 3 + 4 = 7. One part: 42 ÷ 7 = 6. 3 × 6 = 18, 4 × 6 = 24.
12. 28 and 14
Total parts: 4 + 2 = 6. One part: 42 ÷ 6 = 7. 4 × 7 = 28, 2 × 7 = 14.
Worked examples
Simplify the ratio 24:48.
- HCF of 24 and 48 is 24.
- Divide both parts by it: 1:2.
- Answer: 1:2
Share 14 in the ratio 4:3.
- Total parts: 4 + 3 = 7.
- One part: 14 ÷ 7 = 2.
- 4 × 2 = 8, 3 × 2 = 6.
- Answer: 8 and 6
Share 36 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 36 ÷ 6 = 6.
- 1 × 6 = 6, 5 × 6 = 30.
- Answer: 6 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.
Every free resource for Rational Number Line
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 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, 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 Rational Number Line?
- Move on to Operations with Rationals, Whole Numbers, Counting, Number Recognition, which build directly on this idea.
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