Free Grade 3 Working with Rational Number Line Quizzes
Free Grade 3 quizzes for Working with 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.
- UnderstandExplain working with rational number line
Explain working with rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with rational number line
Calculate working with rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with rational number line
Compare working with rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with rational number line
Justify working with 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 Working with 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 50:50.[1]
- 2.Simplify the ratio 16:12.[1]
- 3.Simplify the ratio 32:8.[1]
- 4.Simplify the ratio 30:24.[1]
- 5.Share 66 in the ratio 5:6.[2]
- 6.Share 42 in the ratio 3:4.[2]
- 7.Share 66 in the ratio 2:4.[2]
- 8.Share 42 in the ratio 5:2.[2]
- 9.Share 99 in the ratio 5:6.[3]
- 10.Share 12 in the ratio 5:1.[3]
- 11.Share 40 in the ratio 3:5.[3]
- 12.Share 45 in the ratio 4:5.[3]
Show answers and working
1. 1:1
HCF of 50 and 50 is 50. Divide both parts by it: 1:1.
2. 4:3
HCF of 16 and 12 is 4. Divide both parts by it: 4:3.
3. 4:1
HCF of 32 and 8 is 8. Divide both parts by it: 4:1.
4. 5:4
HCF of 30 and 24 is 6. Divide both parts by it: 5:4.
5. 30 and 36
Total parts: 5 + 6 = 11. One part: 66 ÷ 11 = 6. 5 × 6 = 30, 6 × 6 = 36.
6. 18 and 24
Total parts: 3 + 4 = 7. One part: 42 ÷ 7 = 6. 3 × 6 = 18, 4 × 6 = 24.
7. 22 and 44
Total parts: 2 + 4 = 6. One part: 66 ÷ 6 = 11. 2 × 11 = 22, 4 × 11 = 44.
8. 30 and 12
Total parts: 5 + 2 = 7. One part: 42 ÷ 7 = 6. 5 × 6 = 30, 2 × 6 = 12.
9. 45 and 54
Total parts: 5 + 6 = 11. One part: 99 ÷ 11 = 9. 5 × 9 = 45, 6 × 9 = 54.
10. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
11. 15 and 25
Total parts: 3 + 5 = 8. One part: 40 ÷ 8 = 5. 3 × 5 = 15, 5 × 5 = 25.
12. 20 and 25
Total parts: 4 + 5 = 9. One part: 45 ÷ 9 = 5. 4 × 5 = 20, 5 × 5 = 25.
Worked examples
Simplify the ratio 40:50.
- HCF of 40 and 50 is 10.
- Divide both parts by it: 4:5.
- Answer: 4:5
Share 60 in the ratio 4:1.
- Total parts: 4 + 1 = 5.
- One part: 60 ÷ 5 = 12.
- 4 × 12 = 48, 1 × 12 = 12.
- Answer: 48 and 12
Share 72 in the ratio 3:3.
- Total parts: 3 + 3 = 6.
- One part: 72 ÷ 6 = 12.
- 3 × 12 = 36, 3 × 12 = 36.
- Answer: 36 and 36
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 Working with Rational Number Line quiz really free?
- Yes. Every quizzes 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 Introducing Rational Number Line, Defining Rational Numbers. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Working with Rational Number Line?
- Move on to Rational Number Line in Context, Defining Rational Numbers, Operations with Rationals, which build directly on this idea.
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