Free Grade 3 Working with Ratio Word Problems Worksheets
Free Grade 3 worksheets for Working with Ratio 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with ratio word problems
Explain working with ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with ratio word problems
Calculate working with ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with ratio word problems
Compare working with ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with ratio word problems
Justify working with ratio 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 Ratio 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 32:8.[1]
- 2.Simplify the ratio 30:30.[1]
- 3.Simplify the ratio 8:16.[1]
- 4.Simplify the ratio 16:4.[1]
- 5.Share 77 in the ratio 1:6.[2]
- 6.Share 16 in the ratio 4:4.[2]
- 7.Share 49 in the ratio 3:4.[2]
- 8.Share 63 in the ratio 4:5.[2]
- 9.Share 96 in the ratio 2:6.[3]
- 10.Share 10 in the ratio 3:2.[3]
- 11.Share 32 in the ratio 2:2.[3]
- 12.Share 88 in the ratio 5:6.[3]
Show answers and working
1. 4:1
HCF of 32 and 8 is 8. Divide both parts by it: 4:1.
2. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
3. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
4. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
5. 11 and 66
Total parts: 1 + 6 = 7. One part: 77 ÷ 7 = 11. 1 × 11 = 11, 6 × 11 = 66.
6. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
7. 21 and 28
Total parts: 3 + 4 = 7. One part: 49 ÷ 7 = 7. 3 × 7 = 21, 4 × 7 = 28.
8. 28 and 35
Total parts: 4 + 5 = 9. One part: 63 ÷ 9 = 7. 4 × 7 = 28, 5 × 7 = 35.
9. 24 and 72
Total parts: 2 + 6 = 8. One part: 96 ÷ 8 = 12. 2 × 12 = 24, 6 × 12 = 72.
10. 6 and 4
Total parts: 3 + 2 = 5. One part: 10 ÷ 5 = 2. 3 × 2 = 6, 2 × 2 = 4.
11. 16 and 16
Total parts: 2 + 2 = 4. One part: 32 ÷ 4 = 8. 2 × 8 = 16, 2 × 8 = 16.
12. 40 and 48
Total parts: 5 + 6 = 11. One part: 88 ÷ 11 = 8. 5 × 8 = 40, 6 × 8 = 48.
Worked examples
Simplify the ratio 20:10.
- HCF of 20 and 10 is 10.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 18 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 18 ÷ 6 = 3.
- 5 × 3 = 15, 1 × 3 = 3.
- Answer: 15 and 3
Share 27 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 27 ÷ 9 = 3.
- 5 × 3 = 15, 4 × 3 = 12.
- Answer: 15 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 Working with Ratio 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 Ratio Word Problems worksheet really free?
- Yes. Every worksheets 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 Ratio Word Problems, Sharing in a Ratio. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Ratio Word Problems?
- Move on to Ratio Word Problems in Context, Writing Ratios, Simplifying Ratios, Sharing in a Ratio, which build directly on this idea.
Related resources
Stuck on Working with Ratio Word Problems? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor