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Free Grade 3 Fraction of a Quantity in Context Quizzes

Free Grade 3 quizzes for Fraction of a Quantity in Context: 12 real questions with a full answer key and worked solutions. To find a fraction of an amount, divide by the denominator to find one part, then multiply by the numerator.

Price

Free

Difficulty

Core

Estimated time

15 min

Total marks

24

Learning objectives

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

  • RememberIdentify fraction of a quantity in context

    Identify fraction of a quantity in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain fraction of a quantity in context

    Explain fraction of a quantity in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate fraction of a quantity in context

    Calculate fraction of a quantity in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare fraction of a quantity in context

    Compare fraction of a quantity 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 Fraction of a Quantity in Context works

To find a fraction of an amount, divide by the denominator to find one part, then multiply by the numerator.

Key wordsofpartwholequantity

12 practice questions

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

  1. 1.Find 1/3 of 6.[1]
  2. 2.Find 1/3 of 36.[1]
  3. 3.Find 1/4 of 32.[1]
  4. 4.Find 1/2 of 16.[1]
  5. 5.Find 3/4 of 16.[2]
  6. 6.Find 4/8 of 48.[2]
  7. 7.Find 4/8 of 56.[2]
  8. 8.Find 1/2 of 18.[2]
  9. 9.Find 2/8 of 32.[3]
  10. 10.Find 4/10 of 110.[3]
  11. 11.Find 6/8 of 56.[3]
  12. 12.Find 2/5 of 45.[3]
Show answers and working
  1. 1. 2

    Divide by the denominator: 6 ÷ 3 = 2. Multiply by the numerator: 2 × 1 = 2.

  2. 2. 12

    Divide by the denominator: 36 ÷ 3 = 12. Multiply by the numerator: 12 × 1 = 12.

  3. 3. 8

    Divide by the denominator: 32 ÷ 4 = 8. Multiply by the numerator: 8 × 1 = 8.

  4. 4. 8

    Divide by the denominator: 16 ÷ 2 = 8. Multiply by the numerator: 8 × 1 = 8.

  5. 5. 12

    Divide by the denominator: 16 ÷ 4 = 4. Multiply by the numerator: 4 × 3 = 12.

  6. 6. 24

    Divide by the denominator: 48 ÷ 8 = 6. Multiply by the numerator: 6 × 4 = 24.

  7. 7. 28

    Divide by the denominator: 56 ÷ 8 = 7. Multiply by the numerator: 7 × 4 = 28.

  8. 8. 9

    Divide by the denominator: 18 ÷ 2 = 9. Multiply by the numerator: 9 × 1 = 9.

  9. 9. 8

    Divide by the denominator: 32 ÷ 8 = 4. Multiply by the numerator: 4 × 2 = 8.

  10. 10. 44

    Divide by the denominator: 110 ÷ 10 = 11. Multiply by the numerator: 11 × 4 = 44.

  11. 11. 42

    Divide by the denominator: 56 ÷ 8 = 7. Multiply by the numerator: 7 × 6 = 42.

  12. 12. 18

    Divide by the denominator: 45 ÷ 5 = 9. Multiply by the numerator: 9 × 2 = 18.

Worked examples

Easy example

Find 1/3 of 18.

  1. Divide by the denominator: 18 ÷ 3 = 6.
  2. Multiply by the numerator: 6 × 1 = 6.
  3. Answer: 6
Medium example

Find 1/4 of 48.

  1. Divide by the denominator: 48 ÷ 4 = 12.
  2. Multiply by the numerator: 12 × 1 = 12.
  3. Answer: 12
Hard example

Find 3/6 of 36.

  1. Divide by the denominator: 36 ÷ 6 = 6.
  2. Multiply by the numerator: 6 × 3 = 18.
  3. Answer: 18

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Multiplies by the denominator instead of dividing.

    Correction: Divide by the bottom, times by the top.

  • Stops after finding one part.

    Correction: If the numerator is more than 1, multiply.

Teacher tips

  • · Use bar models split into equal parts.

Parent tips

  • · Work out 1/4 of the money in a jar.

Real-life applications

  • · Sale prices like '1/3 off', sharing money.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

COMMON-CORE COM-891.1 — Mapped statement covering Fraction of a Quantity in Context.OCR OCR-406.2 — Mapped statement covering Fraction of a Quantity in Context.

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Frequently asked

Is this Grade 3 Fraction of a Quantity in Context quiz really free?
Yes. Every quizzes 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 Fraction of a Quantity, Introducing Fraction of a Quantity, Dividing Fractions. Each one has its own free lesson, worksheet and quiz.
How is the quiz 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 Fraction of a Quantity in Context?
Move on to Introduction to Fractions, Parts of a Fraction, Numerator, Denominator, which build directly on this idea.

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