Free Grade 3 Defining Rational Numbers Quizzes
Free Grade 3 quizzes for Defining Rational Numbers: 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 defining rational numbers
Explain defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate defining rational numbers
Calculate defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare defining rational numbers
Compare defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify defining rational numbers
Justify defining rational numbers 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 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 30:50.[1]
- 2.Simplify the ratio 32:32.[1]
- 3.Simplify the ratio 30:10.[1]
- 4.Simplify the ratio 60:24.[1]
- 5.Share 28 in the ratio 3:4.[2]
- 6.Share 18 in the ratio 4:5.[2]
- 7.Share 32 in the ratio 1:3.[2]
- 8.Share 56 in the ratio 4:4.[2]
- 9.Share 45 in the ratio 2:7.[3]
- 10.Share 60 in the ratio 4:6.[3]
- 11.Share 88 in the ratio 4:7.[3]
- 12.Share 28 in the ratio 5:2.[3]
Show answers and working
1. 3:5
HCF of 30 and 50 is 10. Divide both parts by it: 3:5.
2. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
3. 3:1
HCF of 30 and 10 is 10. Divide both parts by it: 3:1.
4. 5:2
HCF of 60 and 24 is 12. Divide both parts by it: 5:2.
5. 12 and 16
Total parts: 3 + 4 = 7. One part: 28 ÷ 7 = 4. 3 × 4 = 12, 4 × 4 = 16.
6. 8 and 10
Total parts: 4 + 5 = 9. One part: 18 ÷ 9 = 2. 4 × 2 = 8, 5 × 2 = 10.
7. 8 and 24
Total parts: 1 + 3 = 4. One part: 32 ÷ 4 = 8. 1 × 8 = 8, 3 × 8 = 24.
8. 28 and 28
Total parts: 4 + 4 = 8. One part: 56 ÷ 8 = 7. 4 × 7 = 28, 4 × 7 = 28.
9. 10 and 35
Total parts: 2 + 7 = 9. One part: 45 ÷ 9 = 5. 2 × 5 = 10, 7 × 5 = 35.
10. 24 and 36
Total parts: 4 + 6 = 10. One part: 60 ÷ 10 = 6. 4 × 6 = 24, 6 × 6 = 36.
11. 32 and 56
Total parts: 4 + 7 = 11. One part: 88 ÷ 11 = 8. 4 × 8 = 32, 7 × 8 = 56.
12. 20 and 8
Total parts: 5 + 2 = 7. One part: 28 ÷ 7 = 4. 5 × 4 = 20, 2 × 4 = 8.
Worked examples
Simplify the ratio 8:16.
- HCF of 8 and 16 is 8.
- Divide both parts by it: 1:2.
- Answer: 1:2
Share 72 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 72 ÷ 6 = 12.
- 2 × 12 = 24, 4 × 12 = 48.
- Answer: 24 and 48
Share 36 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 36 ÷ 6 = 6.
- 4 × 6 = 24, 2 × 6 = 12.
- Answer: 24 and 12
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.
Every free resource for Defining Rational Numbers
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Frequently asked
- Is this Grade 3 Defining Rational Numbers 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 Percentages. 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 Defining Rational Numbers?
- Move on to Rational Number Line, Operations with Rationals, Whole Numbers, Counting, which build directly on this idea.
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