Free Grade 3 Working with Defining Rational Numbers Word Problems Quizzes
Free Grade 3 quizzes for Working with Defining Rational Numbers 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with defining rational numbers word problems
Explain working with defining rational numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with defining rational numbers word problems
Calculate working with defining rational numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with defining rational numbers word problems
Compare working with defining rational numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with defining rational numbers word problems
Justify working with defining rational numbers 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 Working with Defining Rational Numbers 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 8:16.[1]
- 2.Simplify the ratio 18:6.[1]
- 3.Simplify the ratio 24:16.[1]
- 4.Simplify the ratio 18:30.[1]
- 5.Share 50 in the ratio 3:2.[2]
- 6.Share 15 in the ratio 1:4.[2]
- 7.Share 20 in the ratio 1:3.[2]
- 8.Share 108 in the ratio 4:5.[2]
- 9.Share 54 in the ratio 3:6.[3]
- 10.Share 49 in the ratio 2:5.[3]
- 11.Share 20 in the ratio 2:2.[3]
- 12.Share 6 in the ratio 1:1.[3]
Show answers and working
1. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
2. 3:1
HCF of 18 and 6 is 6. Divide both parts by it: 3:1.
3. 3:2
HCF of 24 and 16 is 8. Divide both parts by it: 3:2.
4. 3:5
HCF of 18 and 30 is 6. Divide both parts by it: 3:5.
5. 30 and 20
Total parts: 3 + 2 = 5. One part: 50 ÷ 5 = 10. 3 × 10 = 30, 2 × 10 = 20.
6. 3 and 12
Total parts: 1 + 4 = 5. One part: 15 ÷ 5 = 3. 1 × 3 = 3, 4 × 3 = 12.
7. 5 and 15
Total parts: 1 + 3 = 4. One part: 20 ÷ 4 = 5. 1 × 5 = 5, 3 × 5 = 15.
8. 48 and 60
Total parts: 4 + 5 = 9. One part: 108 ÷ 9 = 12. 4 × 12 = 48, 5 × 12 = 60.
9. 18 and 36
Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.
10. 14 and 35
Total parts: 2 + 5 = 7. One part: 49 ÷ 7 = 7. 2 × 7 = 14, 5 × 7 = 35.
11. 10 and 10
Total parts: 2 + 2 = 4. One part: 20 ÷ 4 = 5. 2 × 5 = 10, 2 × 5 = 10.
12. 3 and 3
Total parts: 1 + 1 = 2. One part: 6 ÷ 2 = 3. 1 × 3 = 3, 1 × 3 = 3.
Worked examples
Simplify the ratio 24:12.
- HCF of 24 and 12 is 12.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 12 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 12 ÷ 2 = 6.
- 1 × 6 = 6, 1 × 6 = 6.
- Answer: 6 and 6
Share 56 in the ratio 3:4.
- Total parts: 3 + 4 = 7.
- One part: 56 ÷ 7 = 8.
- 3 × 8 = 24, 4 × 8 = 32.
- Answer: 24 and 32
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 Working with Defining Rational Numbers Word Problems
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Working with Defining Rational Numbers Word Problems 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 Working with Defining Rational Numbers Techniques, Working with Defining Rational Numbers Essentials, Introducing Defining Rational Numbers. 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 Word Problems?
- Move on to Working with Defining Rational Numbers Common Errors, Introducing Defining Rational Numbers, Defining Rational Numbers in Context, which build directly on this idea.
Related resources
- Free Working with Defining Rational Numbers Word Problems worksheets
- Free Working with Defining Rational Numbers Word Problems flashcards
- Free Working with Defining Rational Numbers Word Problems lessons
- Free Working with Defining Rational Numbers Word Problems lesson plans
- Working with Defining Rational Numbers Word Problems in the knowledge graph
- Free AI Tutor
Stuck on Working with Defining Rational Numbers Word Problems? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor