Free Grade 3 Introducing Writing Ratios Quizzes
Free Grade 3 quizzes for Introducing Writing Ratios: 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 introducing writing ratios
Explain introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing writing ratios
Calculate introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing writing ratios
Compare introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing writing ratios
Justify introducing writing ratios 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 Introducing Writing Ratios 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 48:36.[1]
- 3.Simplify the ratio 16:4.[1]
- 4.Simplify the ratio 6:12.[1]
- 5.Share 30 in the ratio 1:2.[2]
- 6.Share 40 in the ratio 2:2.[2]
- 7.Share 10 in the ratio 3:2.[2]
- 8.Share 30 in the ratio 3:2.[2]
- 9.Share 45 in the ratio 2:3.[3]
- 10.Share 12 in the ratio 1:2.[3]
- 11.Share 88 in the ratio 5:6.[3]
- 12.Share 28 in the ratio 4:3.[3]
Show answers and working
1. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
2. 4:3
HCF of 48 and 36 is 12. Divide both parts by it: 4:3.
3. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
4. 1:2
HCF of 6 and 12 is 6. Divide both parts by it: 1:2.
5. 10 and 20
Total parts: 1 + 2 = 3. One part: 30 ÷ 3 = 10. 1 × 10 = 10, 2 × 10 = 20.
6. 20 and 20
Total parts: 2 + 2 = 4. One part: 40 ÷ 4 = 10. 2 × 10 = 20, 2 × 10 = 20.
7. 6 and 4
Total parts: 3 + 2 = 5. One part: 10 ÷ 5 = 2. 3 × 2 = 6, 2 × 2 = 4.
8. 18 and 12
Total parts: 3 + 2 = 5. One part: 30 ÷ 5 = 6. 3 × 6 = 18, 2 × 6 = 12.
9. 18 and 27
Total parts: 2 + 3 = 5. One part: 45 ÷ 5 = 9. 2 × 9 = 18, 3 × 9 = 27.
10. 4 and 8
Total parts: 1 + 2 = 3. One part: 12 ÷ 3 = 4. 1 × 4 = 4, 2 × 4 = 8.
11. 40 and 48
Total parts: 5 + 6 = 11. One part: 88 ÷ 11 = 8. 5 × 8 = 40, 6 × 8 = 48.
12. 16 and 12
Total parts: 4 + 3 = 7. One part: 28 ÷ 7 = 4. 4 × 4 = 16, 3 × 4 = 12.
Worked examples
Simplify the ratio 4:12.
- HCF of 4 and 12 is 4.
- Divide both parts by it: 1:3.
- Answer: 1:3
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 42 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 42 ÷ 6 = 7.
- 5 × 7 = 35, 1 × 7 = 7.
- Answer: 35 and 7
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 Introducing Writing Ratios
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 Introducing Writing Ratios 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 Complex 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 Introducing Writing Ratios?
- Move on to Working with Writing Ratios, Writing Ratios in Context, Simplifying Ratios, Sharing in a Ratio, which build directly on this idea.
Related resources
Stuck on Introducing Writing Ratios? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor