Free Grade 3 Working with Defining Rational Numbers Quizzes
Free Grade 3 quizzes for Working with 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
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with defining rational numbers
Explain working with defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with defining rational numbers
Calculate working with defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with defining rational numbers
Compare working with defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with defining rational numbers
Justify working with 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 Working with 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 24:12.[1]
- 2.Simplify the ratio 12:8.[1]
- 3.Simplify the ratio 40:30.[1]
- 4.Simplify the ratio 10:50.[1]
- 5.Share 14 in the ratio 1:6.[2]
- 6.Share 27 in the ratio 5:4.[2]
- 7.Share 60 in the ratio 5:1.[2]
- 8.Share 21 in the ratio 5:2.[2]
- 9.Share 100 in the ratio 5:5.[3]
- 10.Share 21 in the ratio 4:3.[3]
- 11.Share 99 in the ratio 5:4.[3]
- 12.Share 49 in the ratio 1:6.[3]
Show answers and working
1. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
2. 3:2
HCF of 12 and 8 is 4. Divide both parts by it: 3:2.
3. 4:3
HCF of 40 and 30 is 10. Divide both parts by it: 4:3.
4. 1:5
HCF of 10 and 50 is 10. Divide both parts by it: 1:5.
5. 2 and 12
Total parts: 1 + 6 = 7. One part: 14 ÷ 7 = 2. 1 × 2 = 2, 6 × 2 = 12.
6. 15 and 12
Total parts: 5 + 4 = 9. One part: 27 ÷ 9 = 3. 5 × 3 = 15, 4 × 3 = 12.
7. 50 and 10
Total parts: 5 + 1 = 6. One part: 60 ÷ 6 = 10. 5 × 10 = 50, 1 × 10 = 10.
8. 15 and 6
Total parts: 5 + 2 = 7. One part: 21 ÷ 7 = 3. 5 × 3 = 15, 2 × 3 = 6.
9. 50 and 50
Total parts: 5 + 5 = 10. One part: 100 ÷ 10 = 10. 5 × 10 = 50, 5 × 10 = 50.
10. 12 and 9
Total parts: 4 + 3 = 7. One part: 21 ÷ 7 = 3. 4 × 3 = 12, 3 × 3 = 9.
11. 55 and 44
Total parts: 5 + 4 = 9. One part: 99 ÷ 9 = 11. 5 × 11 = 55, 4 × 11 = 44.
12. 7 and 42
Total parts: 1 + 6 = 7. One part: 49 ÷ 7 = 7. 1 × 7 = 7, 6 × 7 = 42.
Worked examples
Simplify the ratio 50:40.
- HCF of 50 and 40 is 10.
- Divide both parts by it: 5:4.
- Answer: 5:4
Share 70 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 70 ÷ 10 = 7.
- 5 × 7 = 35, 5 × 7 = 35.
- Answer: 35 and 35
Share 99 in the ratio 3:6.
- Total parts: 3 + 6 = 9.
- One part: 99 ÷ 9 = 11.
- 3 × 11 = 33, 6 × 11 = 66.
- Answer: 33 and 66
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 Working with 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 Introducing Defining Rational Numbers, 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 Working with Defining Rational Numbers?
- Move on to Defining Rational Numbers in Context, Rational Number Line, Operations with Rationals, which build directly on this idea.
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