Free Grade 3 Defining Rational Numbers in Context Word Problems Flashcards
Free Grade 3 flashcards for Defining Rational Numbers in Context Word Problems: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain defining rational numbers in context word problems
Explain defining rational numbers in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate defining rational numbers in context word problems
Calculate defining rational numbers in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare defining rational numbers in context word problems
Compare defining rational numbers in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify defining rational numbers in context word problems
Justify defining rational numbers in context word problems 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 Word Problems 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 4:16.[1]
- 2.Simplify the ratio 24:24.[1]
- 3.Simplify the ratio 20:40.[1]
- 4.Simplify the ratio 60:36.[1]
- 5.Share 33 in the ratio 1:2.[2]
- 6.Share 32 in the ratio 4:4.[2]
- 7.Share 32 in the ratio 3:5.[2]
- 8.Share 48 in the ratio 1:3.[2]
- 9.Share 32 in the ratio 2:6.[3]
- 10.Share 33 in the ratio 5:6.[3]
- 11.Share 24 in the ratio 2:2.[3]
- 12.Share 30 in the ratio 3:3.[3]
Show answers and working
1. 1:4
HCF of 4 and 16 is 4. Divide both parts by it: 1:4.
2. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
3. 1:2
HCF of 20 and 40 is 20. Divide both parts by it: 1:2.
4. 5:3
HCF of 60 and 36 is 12. Divide both parts by it: 5:3.
5. 11 and 22
Total parts: 1 + 2 = 3. One part: 33 ÷ 3 = 11. 1 × 11 = 11, 2 × 11 = 22.
6. 16 and 16
Total parts: 4 + 4 = 8. One part: 32 ÷ 8 = 4. 4 × 4 = 16, 4 × 4 = 16.
7. 12 and 20
Total parts: 3 + 5 = 8. One part: 32 ÷ 8 = 4. 3 × 4 = 12, 5 × 4 = 20.
8. 12 and 36
Total parts: 1 + 3 = 4. One part: 48 ÷ 4 = 12. 1 × 12 = 12, 3 × 12 = 36.
9. 8 and 24
Total parts: 2 + 6 = 8. One part: 32 ÷ 8 = 4. 2 × 4 = 8, 6 × 4 = 24.
10. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
11. 12 and 12
Total parts: 2 + 2 = 4. One part: 24 ÷ 4 = 6. 2 × 6 = 12, 2 × 6 = 12.
12. 15 and 15
Total parts: 3 + 3 = 6. One part: 30 ÷ 6 = 5. 3 × 5 = 15, 3 × 5 = 15.
Worked examples
Simplify the ratio 10:40.
- HCF of 10 and 40 is 10.
- Divide both parts by it: 1:4.
- Answer: 1:4
Share 60 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 60 ÷ 6 = 10.
- 4 × 10 = 40, 2 × 10 = 20.
- Answer: 40 and 20
Share 77 in the ratio 4:7.
- Total parts: 4 + 7 = 11.
- One part: 77 ÷ 11 = 7.
- 4 × 7 = 28, 7 × 7 = 49.
- Answer: 28 and 49
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
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- Start with Defining Rational Numbers in Context Techniques, Defining Rational Numbers in Context Essentials, Working with Defining Rational Numbers. Each one has its own free lesson, worksheet and quiz.
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- Move on to Defining Rational Numbers in Context Common Errors, Introducing Defining Rational Numbers, Working with Defining Rational Numbers, which build directly on this idea.
Related resources
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