Free Grade 3 Fraction of a Quantity Worksheets
Free Grade 3 worksheets for Fraction of a Quantity: 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.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain fraction of a quantity
Explain fraction of a quantity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate fraction of a quantity
Calculate fraction of a quantity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare fraction of a quantity
Compare fraction of a quantity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify fraction of a quantity
Justify fraction of a quantity 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 works
To find a fraction of an amount, divide by the denominator to find one part, then multiply by the numerator.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find 1/4 of 8.[1]
- 2.Find 1/4 of 28.[1]
- 3.Find 1/2 of 14.[1]
- 4.Find 1/3 of 27.[1]
- 5.Find 2/3 of 27.[2]
- 6.Find 2/3 of 33.[2]
- 7.Find 1/3 of 24.[2]
- 8.Find 3/5 of 40.[2]
- 9.Find 4/6 of 48.[3]
- 10.Find 3/12 of 96.[3]
- 11.Find 1/2 of 24.[3]
- 12.Find 6/8 of 32.[3]
Show answers and working
1. 2
Divide by the denominator: 8 ÷ 4 = 2. Multiply by the numerator: 2 × 1 = 2.
2. 7
Divide by the denominator: 28 ÷ 4 = 7. Multiply by the numerator: 7 × 1 = 7.
3. 7
Divide by the denominator: 14 ÷ 2 = 7. Multiply by the numerator: 7 × 1 = 7.
4. 9
Divide by the denominator: 27 ÷ 3 = 9. Multiply by the numerator: 9 × 1 = 9.
5. 18
Divide by the denominator: 27 ÷ 3 = 9. Multiply by the numerator: 9 × 2 = 18.
6. 22
Divide by the denominator: 33 ÷ 3 = 11. Multiply by the numerator: 11 × 2 = 22.
7. 8
Divide by the denominator: 24 ÷ 3 = 8. Multiply by the numerator: 8 × 1 = 8.
8. 24
Divide by the denominator: 40 ÷ 5 = 8. Multiply by the numerator: 8 × 3 = 24.
9. 32
Divide by the denominator: 48 ÷ 6 = 8. Multiply by the numerator: 8 × 4 = 32.
10. 24
Divide by the denominator: 96 ÷ 12 = 8. Multiply by the numerator: 8 × 3 = 24.
11. 12
Divide by the denominator: 24 ÷ 2 = 12. Multiply by the numerator: 12 × 1 = 12.
12. 24
Divide by the denominator: 32 ÷ 8 = 4. Multiply by the numerator: 4 × 6 = 24.
Worked examples
Find 1/3 of 15.
- Divide by the denominator: 15 ÷ 3 = 5.
- Multiply by the numerator: 5 × 1 = 5.
- Answer: 5
Find 3/8 of 48.
- Divide by the denominator: 48 ÷ 8 = 6.
- Multiply by the numerator: 6 × 3 = 18.
- Answer: 18
Find 5/8 of 40.
- Divide by the denominator: 40 ÷ 8 = 5.
- Multiply by the numerator: 5 × 5 = 25.
- Answer: 25
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.
Every free resource for Fraction of a Quantity
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Frequently asked
- Is this Grade 3 Fraction of a Quantity 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 Dividing Fractions, Multiplying Fractions, Integers. 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 Fraction of a Quantity?
- Move on to Fractions to Decimals, Decimals to Fractions, Fractions to Percentages, Fraction Word Problems, which build directly on this idea.
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