Free Grade 3 Introducing Rational Number Line Flashcards
Free Grade 3 flashcards 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
35 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 16:32.[1]
- 2.Simplify the ratio 24:12.[1]
- 3.Simplify the ratio 24:48.[1]
- 4.Simplify the ratio 30:20.[1]
- 5.Share 18 in the ratio 3:3.[2]
- 6.Share 90 in the ratio 4:6.[2]
- 7.Share 36 in the ratio 1:3.[2]
- 8.Share 80 in the ratio 2:6.[2]
- 9.Share 4 in the ratio 1:1.[3]
- 10.Share 24 in the ratio 1:3.[3]
- 11.Share 21 in the ratio 1:2.[3]
- 12.Share 40 in the ratio 3:7.[3]
Show answers and working
1. 1:2
HCF of 16 and 32 is 16. Divide both parts by it: 1:2.
2. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
3. 1:2
HCF of 24 and 48 is 24. Divide both parts by it: 1:2.
4. 3:2
HCF of 30 and 20 is 10. Divide both parts by it: 3:2.
5. 9 and 9
Total parts: 3 + 3 = 6. One part: 18 ÷ 6 = 3. 3 × 3 = 9, 3 × 3 = 9.
6. 36 and 54
Total parts: 4 + 6 = 10. One part: 90 ÷ 10 = 9. 4 × 9 = 36, 6 × 9 = 54.
7. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
8. 20 and 60
Total parts: 2 + 6 = 8. One part: 80 ÷ 8 = 10. 2 × 10 = 20, 6 × 10 = 60.
9. 2 and 2
Total parts: 1 + 1 = 2. One part: 4 ÷ 2 = 2. 1 × 2 = 2, 1 × 2 = 2.
10. 6 and 18
Total parts: 1 + 3 = 4. One part: 24 ÷ 4 = 6. 1 × 6 = 6, 3 × 6 = 18.
11. 7 and 14
Total parts: 1 + 2 = 3. One part: 21 ÷ 3 = 7. 1 × 7 = 7, 2 × 7 = 14.
12. 12 and 28
Total parts: 3 + 7 = 10. One part: 40 ÷ 10 = 4. 3 × 4 = 12, 7 × 4 = 28.
Worked examples
Simplify the ratio 12:12.
- HCF of 12 and 12 is 12.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 45 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 45 ÷ 5 = 9.
- 3 × 9 = 27, 2 × 9 = 18.
- Answer: 27 and 18
Share 35 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 35 ÷ 7 = 5.
- 2 × 5 = 10, 5 × 5 = 25.
- Answer: 10 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.
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Frequently asked
- Is this Grade 3 Introducing Rational Number Line flashcards really free?
- Yes. Every flashcards 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 flashcards 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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