Free Grade 3 Defining Rational Numbers in Context Flashcards
Free Grade 3 flashcards for Defining Rational Numbers 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 defining rational numbers in context
Identify defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain defining rational numbers in context
Explain defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate defining rational numbers in context
Calculate defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare defining rational numbers in context
Compare defining rational numbers 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 Defining Rational Numbers 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 12:6.[1]
- 2.Simplify the ratio 48:36.[1]
- 3.Simplify the ratio 48:12.[1]
- 4.Simplify the ratio 12:4.[1]
- 5.Share 110 in the ratio 5:5.[2]
- 6.Share 48 in the ratio 2:6.[2]
- 7.Share 63 in the ratio 4:5.[2]
- 8.Share 12 in the ratio 4:2.[2]
- 9.Share 64 in the ratio 2:6.[3]
- 10.Share 22 in the ratio 1:1.[3]
- 11.Share 108 in the ratio 3:6.[3]
- 12.Share 80 in the ratio 5:5.[3]
Show answers and working
1. 2:1
HCF of 12 and 6 is 6. Divide both parts by it: 2:1.
2. 4:3
HCF of 48 and 36 is 12. Divide both parts by it: 4:3.
3. 4:1
HCF of 48 and 12 is 12. Divide both parts by it: 4:1.
4. 3:1
HCF of 12 and 4 is 4. Divide both parts by it: 3:1.
5. 55 and 55
Total parts: 5 + 5 = 10. One part: 110 ÷ 10 = 11. 5 × 11 = 55, 5 × 11 = 55.
6. 12 and 36
Total parts: 2 + 6 = 8. One part: 48 ÷ 8 = 6. 2 × 6 = 12, 6 × 6 = 36.
7. 28 and 35
Total parts: 4 + 5 = 9. One part: 63 ÷ 9 = 7. 4 × 7 = 28, 5 × 7 = 35.
8. 8 and 4
Total parts: 4 + 2 = 6. One part: 12 ÷ 6 = 2. 4 × 2 = 8, 2 × 2 = 4.
9. 16 and 48
Total parts: 2 + 6 = 8. One part: 64 ÷ 8 = 8. 2 × 8 = 16, 6 × 8 = 48.
10. 11 and 11
Total parts: 1 + 1 = 2. One part: 22 ÷ 2 = 11. 1 × 11 = 11, 1 × 11 = 11.
11. 36 and 72
Total parts: 3 + 6 = 9. One part: 108 ÷ 9 = 12. 3 × 12 = 36, 6 × 12 = 72.
12. 40 and 40
Total parts: 5 + 5 = 10. One part: 80 ÷ 10 = 8. 5 × 8 = 40, 5 × 8 = 40.
Worked examples
Simplify the ratio 30:10.
- HCF of 30 and 10 is 10.
- Divide both parts by it: 3:1.
- Answer: 3:1
Share 42 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 42 ÷ 6 = 7.
- 5 × 7 = 35, 1 × 7 = 7.
- Answer: 35 and 7
Share 28 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 28 ÷ 7 = 4.
- 2 × 4 = 8, 5 × 4 = 20.
- Answer: 8 and 20
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 Defining Rational Numbers in Context 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 Working with Defining Rational Numbers, Introducing Defining Rational Numbers, Percentages. 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 Defining Rational Numbers in Context?
- Move on to Rational Number Line, Operations with Rationals, which build directly on this idea.
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