Free Grade 3 Rational Number Line Lessons
Free Grade 3 lessons 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
35 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 48:24.[1]
- 2.Simplify the ratio 16:20.[1]
- 3.Simplify the ratio 24:24.[1]
- 4.Simplify the ratio 10:50.[1]
- 5.Share 32 in the ratio 2:6.[2]
- 6.Share 18 in the ratio 3:3.[2]
- 7.Share 63 in the ratio 4:3.[2]
- 8.Share 20 in the ratio 4:1.[2]
- 9.Share 16 in the ratio 4:4.[3]
- 10.Share 40 in the ratio 4:1.[3]
- 11.Share 25 in the ratio 3:2.[3]
- 12.Share 56 in the ratio 1:6.[3]
Show answers and working
1. 2:1
HCF of 48 and 24 is 24. Divide both parts by it: 2:1.
2. 4:5
HCF of 16 and 20 is 4. Divide both parts by it: 4:5.
3. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
4. 1:5
HCF of 10 and 50 is 10. Divide both parts by it: 1:5.
5. 8 and 24
Total parts: 2 + 6 = 8. One part: 32 ÷ 8 = 4. 2 × 4 = 8, 6 × 4 = 24.
6. 9 and 9
Total parts: 3 + 3 = 6. One part: 18 ÷ 6 = 3. 3 × 3 = 9, 3 × 3 = 9.
7. 36 and 27
Total parts: 4 + 3 = 7. One part: 63 ÷ 7 = 9. 4 × 9 = 36, 3 × 9 = 27.
8. 16 and 4
Total parts: 4 + 1 = 5. One part: 20 ÷ 5 = 4. 4 × 4 = 16, 1 × 4 = 4.
9. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
10. 32 and 8
Total parts: 4 + 1 = 5. One part: 40 ÷ 5 = 8. 4 × 8 = 32, 1 × 8 = 8.
11. 15 and 10
Total parts: 3 + 2 = 5. One part: 25 ÷ 5 = 5. 3 × 5 = 15, 2 × 5 = 10.
12. 8 and 48
Total parts: 1 + 6 = 7. One part: 56 ÷ 7 = 8. 1 × 8 = 8, 6 × 8 = 48.
Worked examples
Simplify the ratio 6:12.
- HCF of 6 and 12 is 6.
- Divide both parts by it: 1:2.
- Answer: 1:2
Share 54 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 54 ÷ 6 = 9.
- 5 × 9 = 45, 1 × 9 = 9.
- Answer: 45 and 9
Share 40 in the ratio 3:5.
- Total parts: 3 + 5 = 8.
- One part: 40 ÷ 8 = 5.
- 3 × 5 = 15, 5 × 5 = 25.
- Answer: 15 and 25
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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Frequently asked
- Is this Grade 3 Rational Number Line lesson really free?
- Yes. Every lessons 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 lesson 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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