Free Grade 3 Defining Rational Numbers in Context Quizzes
Free Grade 3 quizzes 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
Stretch
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 24:36.[1]
- 2.Simplify the ratio 36:36.[1]
- 3.Simplify the ratio 24:40.[1]
- 4.Simplify the ratio 20:12.[1]
- 5.Share 42 in the ratio 3:4.[2]
- 6.Share 56 in the ratio 1:6.[2]
- 7.Share 72 in the ratio 3:3.[2]
- 8.Share 40 in the ratio 5:5.[2]
- 9.Share 70 in the ratio 5:5.[3]
- 10.Share 25 in the ratio 1:4.[3]
- 11.Share 8 in the ratio 1:3.[3]
- 12.Share 12 in the ratio 2:4.[3]
Show answers and working
1. 2:3
HCF of 24 and 36 is 12. Divide both parts by it: 2:3.
2. 1:1
HCF of 36 and 36 is 36. Divide both parts by it: 1:1.
3. 3:5
HCF of 24 and 40 is 8. Divide both parts by it: 3:5.
4. 5:3
HCF of 20 and 12 is 4. Divide both parts by it: 5:3.
5. 18 and 24
Total parts: 3 + 4 = 7. One part: 42 ÷ 7 = 6. 3 × 6 = 18, 4 × 6 = 24.
6. 8 and 48
Total parts: 1 + 6 = 7. One part: 56 ÷ 7 = 8. 1 × 8 = 8, 6 × 8 = 48.
7. 36 and 36
Total parts: 3 + 3 = 6. One part: 72 ÷ 6 = 12. 3 × 12 = 36, 3 × 12 = 36.
8. 20 and 20
Total parts: 5 + 5 = 10. One part: 40 ÷ 10 = 4. 5 × 4 = 20, 5 × 4 = 20.
9. 35 and 35
Total parts: 5 + 5 = 10. One part: 70 ÷ 10 = 7. 5 × 7 = 35, 5 × 7 = 35.
10. 5 and 20
Total parts: 1 + 4 = 5. One part: 25 ÷ 5 = 5. 1 × 5 = 5, 4 × 5 = 20.
11. 2 and 6
Total parts: 1 + 3 = 4. One part: 8 ÷ 4 = 2. 1 × 2 = 2, 3 × 2 = 6.
12. 4 and 8
Total parts: 2 + 4 = 6. One part: 12 ÷ 6 = 2. 2 × 2 = 4, 4 × 2 = 8.
Worked examples
Simplify the ratio 10:20.
- HCF of 10 and 20 is 10.
- Divide both parts by it: 1:2.
- Answer: 1:2
Share 28 in the ratio 1:3.
- Total parts: 1 + 3 = 4.
- One part: 28 ÷ 4 = 7.
- 1 × 7 = 7, 3 × 7 = 21.
- Answer: 7 and 21
Share 48 in the ratio 2:2.
- Total parts: 2 + 2 = 4.
- One part: 48 ÷ 4 = 12.
- 2 × 12 = 24, 2 × 12 = 24.
- Answer: 24 and 24
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 in Context
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 Defining Rational Numbers in Context 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, 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 Defining Rational Numbers in Context?
- Move on to Rational Number Line, Operations with Rationals, which build directly on this idea.
Related resources
Stuck on Defining Rational Numbers in Context? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor