Free Grade 3 Working with Ratio Word Problems Flashcards
Free Grade 3 flashcards 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
Foundation
20 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 8:32.[1]
- 2.Simplify the ratio 40:16.[1]
- 3.Simplify the ratio 6:30.[1]
- 4.Simplify the ratio 50:50.[1]
- 5.Share 36 in the ratio 1:5.[2]
- 6.Share 90 in the ratio 5:4.[2]
- 7.Share 42 in the ratio 1:6.[2]
- 8.Share 28 in the ratio 1:3.[2]
- 9.Share 18 in the ratio 2:1.[3]
- 10.Share 40 in the ratio 4:4.[3]
- 11.Share 77 in the ratio 1:6.[3]
- 12.Share 56 in the ratio 1:6.[3]
Show answers and working
1. 1:4
HCF of 8 and 32 is 8. Divide both parts by it: 1:4.
2. 5:2
HCF of 40 and 16 is 8. Divide both parts by it: 5:2.
3. 1:5
HCF of 6 and 30 is 6. Divide both parts by it: 1:5.
4. 1:1
HCF of 50 and 50 is 50. Divide both parts by it: 1:1.
5. 6 and 30
Total parts: 1 + 5 = 6. One part: 36 ÷ 6 = 6. 1 × 6 = 6, 5 × 6 = 30.
6. 50 and 40
Total parts: 5 + 4 = 9. One part: 90 ÷ 9 = 10. 5 × 10 = 50, 4 × 10 = 40.
7. 6 and 36
Total parts: 1 + 6 = 7. One part: 42 ÷ 7 = 6. 1 × 6 = 6, 6 × 6 = 36.
8. 7 and 21
Total parts: 1 + 3 = 4. One part: 28 ÷ 4 = 7. 1 × 7 = 7, 3 × 7 = 21.
9. 12 and 6
Total parts: 2 + 1 = 3. One part: 18 ÷ 3 = 6. 2 × 6 = 12, 1 × 6 = 6.
10. 20 and 20
Total parts: 4 + 4 = 8. One part: 40 ÷ 8 = 5. 4 × 5 = 20, 4 × 5 = 20.
11. 11 and 66
Total parts: 1 + 6 = 7. One part: 77 ÷ 7 = 11. 1 × 11 = 11, 6 × 11 = 66.
12. 8 and 48
Total parts: 1 + 6 = 7. One part: 56 ÷ 7 = 8. 1 × 8 = 8, 6 × 8 = 48.
Worked examples
Simplify the ratio 24:60.
- HCF of 24 and 60 is 12.
- Divide both parts by it: 2:5.
- Answer: 2:5
Share 45 in the ratio 2:3.
- Total parts: 2 + 3 = 5.
- One part: 45 ÷ 5 = 9.
- 2 × 9 = 18, 3 × 9 = 27.
- Answer: 18 and 27
Share 49 in the ratio 4:3.
- Total parts: 4 + 3 = 7.
- One part: 49 ÷ 7 = 7.
- 4 × 7 = 28, 3 × 7 = 21.
- Answer: 28 and 21
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
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Frequently asked
- Is this Grade 3 Working with Ratio Word Problems flashcards really free?
- Yes. Every flashcards 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 flashcards 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.
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