Free Grade 3 Introducing Ratio Word Problems Flashcards
Free Grade 3 flashcards for Introducing 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing ratio word problems
Explain introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing ratio word problems
Calculate introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing ratio word problems
Compare introducing ratio word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing ratio word problems
Justify introducing 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 Introducing 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 24:24.[1]
- 2.Simplify the ratio 24:40.[1]
- 3.Simplify the ratio 40:24.[1]
- 4.Simplify the ratio 60:36.[1]
- 5.Share 21 in the ratio 5:2.[2]
- 6.Share 60 in the ratio 3:3.[2]
- 7.Share 12 in the ratio 5:1.[2]
- 8.Share 24 in the ratio 2:4.[2]
- 9.Share 72 in the ratio 3:6.[3]
- 10.Share 18 in the ratio 2:7.[3]
- 11.Share 27 in the ratio 3:6.[3]
- 12.Share 40 in the ratio 3:7.[3]
Show answers and working
1. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
2. 3:5
HCF of 24 and 40 is 8. Divide both parts by it: 3:5.
3. 5:3
HCF of 40 and 24 is 8. Divide both parts by it: 5:3.
4. 5:3
HCF of 60 and 36 is 12. Divide both parts by it: 5:3.
5. 15 and 6
Total parts: 5 + 2 = 7. One part: 21 ÷ 7 = 3. 5 × 3 = 15, 2 × 3 = 6.
6. 30 and 30
Total parts: 3 + 3 = 6. One part: 60 ÷ 6 = 10. 3 × 10 = 30, 3 × 10 = 30.
7. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
8. 8 and 16
Total parts: 2 + 4 = 6. One part: 24 ÷ 6 = 4. 2 × 4 = 8, 4 × 4 = 16.
9. 24 and 48
Total parts: 3 + 6 = 9. One part: 72 ÷ 9 = 8. 3 × 8 = 24, 6 × 8 = 48.
10. 4 and 14
Total parts: 2 + 7 = 9. One part: 18 ÷ 9 = 2. 2 × 2 = 4, 7 × 2 = 14.
11. 9 and 18
Total parts: 3 + 6 = 9. One part: 27 ÷ 9 = 3. 3 × 3 = 9, 6 × 3 = 18.
12. 12 and 28
Total parts: 3 + 7 = 10. One part: 40 ÷ 10 = 4. 3 × 4 = 12, 7 × 4 = 28.
Worked examples
Simplify the ratio 50:20.
- HCF of 50 and 20 is 10.
- Divide both parts by it: 5:2.
- Answer: 5:2
Share 30 in the ratio 5:1.
- Total parts: 5 + 1 = 6.
- One part: 30 ÷ 6 = 5.
- 5 × 5 = 25, 1 × 5 = 5.
- Answer: 25 and 5
Share 70 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 70 ÷ 7 = 10.
- 2 × 10 = 20, 5 × 10 = 50.
- Answer: 20 and 50
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.
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Frequently asked
- Is this Grade 3 Introducing 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 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 Introducing Ratio Word Problems?
- Move on to Working with Ratio Word Problems, Ratio Word Problems in Context, Writing Ratios, Simplifying Ratios, which build directly on this idea.
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