Free Grade 3 Simplifying Ratios Worksheets
Free Grade 3 worksheets for Simplifying 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain simplifying ratios
Explain simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate simplifying ratios
Calculate simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare simplifying ratios
Compare simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify simplifying ratios
Justify simplifying 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 Simplifying 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 16:24.[1]
- 2.Simplify the ratio 36:12.[1]
- 3.Simplify the ratio 18:30.[1]
- 4.Simplify the ratio 40:30.[1]
- 5.Share 16 in the ratio 4:4.[2]
- 6.Share 40 in the ratio 4:6.[2]
- 7.Share 35 in the ratio 3:4.[2]
- 8.Share 42 in the ratio 5:1.[2]
- 9.Share 33 in the ratio 2:1.[3]
- 10.Share 9 in the ratio 2:1.[3]
- 11.Share 16 in the ratio 1:7.[3]
- 12.Share 40 in the ratio 3:5.[3]
Show answers and working
1. 2:3
HCF of 16 and 24 is 8. Divide both parts by it: 2:3.
2. 3:1
HCF of 36 and 12 is 12. Divide both parts by it: 3:1.
3. 3:5
HCF of 18 and 30 is 6. Divide both parts by it: 3:5.
4. 4:3
HCF of 40 and 30 is 10. Divide both parts by it: 4:3.
5. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
6. 16 and 24
Total parts: 4 + 6 = 10. One part: 40 ÷ 10 = 4. 4 × 4 = 16, 6 × 4 = 24.
7. 15 and 20
Total parts: 3 + 4 = 7. One part: 35 ÷ 7 = 5. 3 × 5 = 15, 4 × 5 = 20.
8. 35 and 7
Total parts: 5 + 1 = 6. One part: 42 ÷ 6 = 7. 5 × 7 = 35, 1 × 7 = 7.
9. 22 and 11
Total parts: 2 + 1 = 3. One part: 33 ÷ 3 = 11. 2 × 11 = 22, 1 × 11 = 11.
10. 6 and 3
Total parts: 2 + 1 = 3. One part: 9 ÷ 3 = 3. 2 × 3 = 6, 1 × 3 = 3.
11. 2 and 14
Total parts: 1 + 7 = 8. One part: 16 ÷ 8 = 2. 1 × 2 = 2, 7 × 2 = 14.
12. 15 and 25
Total parts: 3 + 5 = 8. One part: 40 ÷ 8 = 5. 3 × 5 = 15, 5 × 5 = 25.
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 42 in the ratio 4:3.
- Total parts: 4 + 3 = 7.
- One part: 42 ÷ 7 = 6.
- 4 × 6 = 24, 3 × 6 = 18.
- Answer: 24 and 18
Share 63 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 63 ÷ 7 = 9.
- 2 × 9 = 18, 5 × 9 = 45.
- Answer: 18 and 45
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 Simplifying Ratios
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Learn — Meet the idea.
Practice — Build fluency.
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Assess — Prove mastery.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Simplifying Ratios 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 Writing Ratios, Complex Numbers. 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 Simplifying Ratios?
- Move on to Sharing in a Ratio, Ratio Word Problems, Whole Numbers, Counting, which build directly on this idea.
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