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Free Grade 3 Ratio Word Problems in Context Worksheets

Free Grade 3 worksheets for Ratio Word Problems in Context: 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.

Price

Free

Difficulty

Foundation

Estimated time

35 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify ratio word problems in context

    Identify ratio word problems in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain ratio word problems in context

    Explain ratio word problems in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate ratio word problems in context

    Calculate ratio word problems in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare ratio word problems in context

    Compare ratio word problems in context 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 Ratio Word Problems in Context works

A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.

Key wordsratiosharepartsimplify

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Simplify the ratio 30:30.[1]
  2. 2.Simplify the ratio 40:50.[1]
  3. 3.Simplify the ratio 36:36.[1]
  4. 4.Simplify the ratio 32:16.[1]
  5. 5.Share 8 in the ratio 2:2.[2]
  6. 6.Share 18 in the ratio 3:3.[2]
  7. 7.Share 55 in the ratio 4:1.[2]
  8. 8.Share 54 in the ratio 3:6.[2]
  9. 9.Share 16 in the ratio 4:4.[3]
  10. 10.Share 40 in the ratio 3:7.[3]
  11. 11.Share 90 in the ratio 3:6.[3]
  12. 12.Share 24 in the ratio 1:5.[3]
Show answers and working
  1. 1. 1:1

    HCF of 30 and 30 is 30. Divide both parts by it: 1:1.

  2. 2. 4:5

    HCF of 40 and 50 is 10. Divide both parts by it: 4:5.

  3. 3. 1:1

    HCF of 36 and 36 is 36. Divide both parts by it: 1:1.

  4. 4. 2:1

    HCF of 32 and 16 is 16. Divide both parts by it: 2:1.

  5. 5. 4 and 4

    Total parts: 2 + 2 = 4. One part: 8 ÷ 4 = 2. 2 × 2 = 4, 2 × 2 = 4.

  6. 6. 9 and 9

    Total parts: 3 + 3 = 6. One part: 18 ÷ 6 = 3. 3 × 3 = 9, 3 × 3 = 9.

  7. 7. 44 and 11

    Total parts: 4 + 1 = 5. One part: 55 ÷ 5 = 11. 4 × 11 = 44, 1 × 11 = 11.

  8. 8. 18 and 36

    Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.

  9. 9. 8 and 8

    Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.

  10. 10. 12 and 28

    Total parts: 3 + 7 = 10. One part: 40 ÷ 10 = 4. 3 × 4 = 12, 7 × 4 = 28.

  11. 11. 30 and 60

    Total parts: 3 + 6 = 9. One part: 90 ÷ 9 = 10. 3 × 10 = 30, 6 × 10 = 60.

  12. 12. 4 and 20

    Total parts: 1 + 5 = 6. One part: 24 ÷ 6 = 4. 1 × 4 = 4, 5 × 4 = 20.

Worked examples

Easy example

Simplify the ratio 16:8.

  1. HCF of 16 and 8 is 8.
  2. Divide both parts by it: 2:1.
  3. Answer: 2:1
Medium example

Share 35 in the ratio 1:6.

  1. Total parts: 1 + 6 = 7.
  2. One part: 35 ÷ 7 = 5.
  3. 1 × 5 = 5, 6 × 5 = 30.
  4. Answer: 5 and 30
Hard example

Share 64 in the ratio 5:3.

  1. Total parts: 5 + 3 = 8.
  2. One part: 64 ÷ 8 = 8.
  3. 5 × 8 = 40, 3 × 8 = 24.
  4. Answer: 40 and 24

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.

CBSE CBS-151.1 — Mapped statement covering Ratio Word Problems in Context.COLLEGE-BOARD COL-816.2 — Mapped statement covering Ratio Word Problems in Context.

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Frequently asked

Is this Grade 3 Ratio Word Problems in Context 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 Working with Ratio Word Problems, 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 Ratio Word Problems in Context?
Move on to Writing Ratios, Simplifying Ratios, Sharing in a Ratio, which build directly on this idea.

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