Free Grade 3 Rational Number Line in Context Quizzes
Free Grade 3 quizzes for Rational Number Line in Context: 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rational number line in context
Identify rational number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rational number line in context
Explain rational number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rational number line in context
Calculate rational number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rational number line in context
Compare rational number line in context 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 in Context 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 12:24.[1]
- 2.Simplify the ratio 10:10.[1]
- 3.Simplify the ratio 12:12.[1]
- 4.Simplify the ratio 40:30.[1]
- 5.Share 22 in the ratio 5:6.[2]
- 6.Share 48 in the ratio 4:4.[2]
- 7.Share 25 in the ratio 1:4.[2]
- 8.Share 24 in the ratio 3:5.[2]
- 9.Share 56 in the ratio 5:3.[3]
- 10.Share 63 in the ratio 3:6.[3]
- 11.Share 50 in the ratio 4:1.[3]
- 12.Share 80 in the ratio 3:5.[3]
Show answers and working
1. 1:2
HCF of 12 and 24 is 12. Divide both parts by it: 1:2.
2. 1:1
HCF of 10 and 10 is 10. Divide both parts by it: 1:1.
3. 1:1
HCF of 12 and 12 is 12. Divide both parts by it: 1:1.
4. 4:3
HCF of 40 and 30 is 10. Divide both parts by it: 4:3.
5. 10 and 12
Total parts: 5 + 6 = 11. One part: 22 ÷ 11 = 2. 5 × 2 = 10, 6 × 2 = 12.
6. 24 and 24
Total parts: 4 + 4 = 8. One part: 48 ÷ 8 = 6. 4 × 6 = 24, 4 × 6 = 24.
7. 5 and 20
Total parts: 1 + 4 = 5. One part: 25 ÷ 5 = 5. 1 × 5 = 5, 4 × 5 = 20.
8. 9 and 15
Total parts: 3 + 5 = 8. One part: 24 ÷ 8 = 3. 3 × 3 = 9, 5 × 3 = 15.
9. 35 and 21
Total parts: 5 + 3 = 8. One part: 56 ÷ 8 = 7. 5 × 7 = 35, 3 × 7 = 21.
10. 21 and 42
Total parts: 3 + 6 = 9. One part: 63 ÷ 9 = 7. 3 × 7 = 21, 6 × 7 = 42.
11. 40 and 10
Total parts: 4 + 1 = 5. One part: 50 ÷ 5 = 10. 4 × 10 = 40, 1 × 10 = 10.
12. 30 and 50
Total parts: 3 + 5 = 8. One part: 80 ÷ 8 = 10. 3 × 10 = 30, 5 × 10 = 50.
Worked examples
Simplify the ratio 20:10.
- HCF of 20 and 10 is 10.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 32 in the ratio 3:1.
- Total parts: 3 + 1 = 4.
- One part: 32 ÷ 4 = 8.
- 3 × 8 = 24, 1 × 8 = 8.
- Answer: 24 and 8
Share 108 in the ratio 3:6.
- Total parts: 3 + 6 = 9.
- One part: 108 ÷ 9 = 12.
- 3 × 12 = 36, 6 × 12 = 72.
- Answer: 36 and 72
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 Rational Number Line in Context 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 Working with Rational Number Line, 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 Rational Number Line in Context?
- Move on to Defining Rational Numbers, Operations with Rationals, which build directly on this idea.
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