Free Grade 3 Introducing Rational Number Line Quizzes
Free Grade 3 quizzes 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
Foundation
15 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 8:32.[1]
- 2.Simplify the ratio 48:36.[1]
- 3.Simplify the ratio 16:8.[1]
- 4.Simplify the ratio 24:12.[1]
- 5.Share 80 in the ratio 2:6.[2]
- 6.Share 80 in the ratio 5:5.[2]
- 7.Share 84 in the ratio 2:5.[2]
- 8.Share 20 in the ratio 1:4.[2]
- 9.Share 48 in the ratio 3:5.[3]
- 10.Share 24 in the ratio 1:1.[3]
- 11.Share 56 in the ratio 4:4.[3]
- 12.Share 36 in the ratio 1:2.[3]
Show answers and working
1. 1:4
HCF of 8 and 32 is 8. Divide both parts by it: 1:4.
2. 4:3
HCF of 48 and 36 is 12. Divide both parts by it: 4:3.
3. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
4. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
5. 20 and 60
Total parts: 2 + 6 = 8. One part: 80 ÷ 8 = 10. 2 × 10 = 20, 6 × 10 = 60.
6. 40 and 40
Total parts: 5 + 5 = 10. One part: 80 ÷ 10 = 8. 5 × 8 = 40, 5 × 8 = 40.
7. 24 and 60
Total parts: 2 + 5 = 7. One part: 84 ÷ 7 = 12. 2 × 12 = 24, 5 × 12 = 60.
8. 4 and 16
Total parts: 1 + 4 = 5. One part: 20 ÷ 5 = 4. 1 × 4 = 4, 4 × 4 = 16.
9. 18 and 30
Total parts: 3 + 5 = 8. One part: 48 ÷ 8 = 6. 3 × 6 = 18, 5 × 6 = 30.
10. 12 and 12
Total parts: 1 + 1 = 2. One part: 24 ÷ 2 = 12. 1 × 12 = 12, 1 × 12 = 12.
11. 28 and 28
Total parts: 4 + 4 = 8. One part: 56 ÷ 8 = 7. 4 × 7 = 28, 4 × 7 = 28.
12. 12 and 24
Total parts: 1 + 2 = 3. One part: 36 ÷ 3 = 12. 1 × 12 = 12, 2 × 12 = 24.
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 21 in the ratio 4:3.
- Total parts: 4 + 3 = 7.
- One part: 21 ÷ 7 = 3.
- 4 × 3 = 12, 3 × 3 = 9.
- Answer: 12 and 9
Share 18 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 18 ÷ 9 = 2.
- 5 × 2 = 10, 4 × 2 = 8.
- Answer: 10 and 8
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 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 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 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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