Fractions Worksheets

These fractions worksheets cover essential skills across Key Stage 3 and Key Stage 4, helping students build confidence with converting between mixed numbers and improper fractions, performing fraction operations, and connecting fractions to decimals and percentages. Teachers frequently notice that students who struggle with fractions at KS3 often carry these gaps into GCSE, particularly when working with algebraic fractions or solving ratio problems. The collection includes maths fractions worksheets for ordering fractions, subtracting fractions, and finding fractions of numbers, with each worksheet downloadable as a PDF. Complete answer sheets accompany every resource, making them practical for independent practice, homework, or intervention sessions where students need immediate feedback.

Add Mixed Numbers with the Same Denominator

Year groups: 7, 8

Preview of Add Mixed Numbers with the Same Denominator

Adding and subtracting fractions with different denominators (A)

Year groups: 7, 8

Preview of Adding and subtracting fractions with different denominators (A)

Adding and subtracting fractions with different denominators (B)

Year groups: 7, 8

Preview of Adding and subtracting fractions with different denominators (B)

Comparing Fractions

Year groups: 7

Preview of Comparing Fractions

Converting Between Minutes and Hours (A)

Year groups: 7, 8

Preview of Converting Between Minutes and Hours (A)

Dividing Fractions by Integers

Year groups: 7, 8

Preview of Dividing Fractions by Integers

Finding Fractions of Amounts

Year groups: 7, 8

Preview of Finding Fractions of Amounts

Finding the Whole (A)

Year groups: 7, 8

Preview of Finding the Whole (A)

Finding the Whole (B)

Year groups: 7, 8

Preview of Finding the Whole (B)

Finding Unit Fractions of Amounts

Year groups: 7, 8

Preview of Finding Unit Fractions of Amounts

Fraction - Increase and Decrease

Year groups: 7, 8, 9

Preview of Fraction - Increase and Decrease

Fractions on Number Lines (A)

Year groups: 7

Preview of Fractions on Number Lines (A)

Fractions on Number Lines (B)

Year groups: 7

Preview of Fractions on Number Lines (B)

Introducing the Fraction Wall

Year groups: 7, 8

Preview of Introducing the Fraction Wall

Labelling a Number Line with Mixed Numbers

Year groups: 7, 8

Preview of Labelling a Number Line with Mixed Numbers

Manipulating Fractions

Year groups: 7, 8

Preview of Manipulating Fractions

Mixed Numbers and Improper Fractions (A)

Year groups: 7, 8

Preview of Mixed Numbers and Improper Fractions (A)

Mixed Numbers and Improper Fractions (B)

Year groups: 7, 8

Preview of Mixed Numbers and Improper Fractions (B)

One Number as a Fraction of Another (A)

Year groups: 7, 8

Preview of One Number as a Fraction of Another (A)

One Number as a Fraction of Another (B)

Year groups: 7, 8

Preview of One Number as a Fraction of Another (B)

Ordering Fractions

Year groups: 7, 8, 9

Preview of Ordering Fractions

Partitioning Mixed Numbers

Year groups: 7, 8

Preview of Partitioning Mixed Numbers

Simplifying fractions (A)

Year groups: 7, 8

Preview of Simplifying fractions (A)

Simplifying Fractions (B)

Year groups: 7, 8

Preview of Simplifying Fractions (B)

Simplifying Fractions (C)

Year groups: 7, 8

Preview of Simplifying Fractions (C)

Time as Fractions

Year groups: 7, 8

Preview of Time as Fractions

Using a Fraction Wall - Comparing Fractions

Year groups: 7, 8

Preview of Using a Fraction Wall - Comparing Fractions

Using The Fraction Wall - Adding Fractions

Year groups: 7, 8

Preview of Using The Fraction Wall - Adding Fractions

Using The Fraction Wall - Equivalent Fractions

Year groups: 7, 8

Preview of Using The Fraction Wall - Equivalent Fractions

Add and Subtract Fractions and Decimals

Year groups: 8, 9

Preview of Add and Subtract Fractions and Decimals

Add and Subtract Mixed Numbers

Year groups: 8, 9, 10

Preview of Add and Subtract Mixed Numbers

Adding and Subtracting Fractions

Year groups: 8, 9

Preview of Adding and Subtracting Fractions

Dividing Fractions

Year groups: 8, 9

Preview of Dividing Fractions

Dividing Integers by Fractions

Year groups: 8, 9

Preview of Dividing Integers by Fractions

Dividing Mixed Numbers

Year groups: 8, 9, 10

Preview of Dividing Mixed Numbers

Multiply Mixed Numbers

Year groups: 8, 9, 10

Preview of Multiply Mixed Numbers

Multiplying and Dividing Fractions

Year groups: 8, 9

Preview of Multiplying and Dividing Fractions

Multiplying Fractions

Year groups: 8, 9

Preview of Multiplying Fractions

Multiplying Fractions - Using the Area Model

Year groups: 8, 9

Preview of Multiplying Fractions - Using the Area Model

Multiplying Unit Fractions - Using the Area Model

Year groups: 8, 9

Preview of Multiplying Unit Fractions - Using the Area Model

Operating Fractions (A)

Year groups: 8, 9

Preview of Operating Fractions (A)

Operating with Fractions (C)

Year groups: 8, 9

Preview of Operating with Fractions (C)

Fraction Problem Solving (A)

Year groups: 9, 10

Preview of Fraction Problem Solving (A)

Fraction Problem Solving (B)

Year groups: 9, 10

Preview of Fraction Problem Solving (B)

Fraction, Percentage and Ratio Problems

Year groups: 9, 10, 11

Preview of Fraction, Percentage and Ratio Problems

Recurring and Terminating Decimals

Year groups: 9, 10

Preview of Recurring and Terminating Decimals

Finding the Reciprocal

Year groups: 10, 11

Preview of Finding the Reciprocal

Operating Fractions (B)

Year groups: 10, 11

Preview of Operating Fractions (B)

Operating Fractions Including Negatives

Year groups: 10, 11

Preview of Operating Fractions Including Negatives

What should fractions worksheets include for KS3 and KS4?

Effective maths fraction worksheets for secondary students should progress from consolidating equivalent fractions and converting between mixed and improper forms to more complex fraction operations including addition, subtraction, multiplication, and division. At KS3, worksheets typically focus on ordering fractions, simplifying, and calculating fractions of amounts, whilst KS4 resources introduce algebraic fractions and problem-solving contexts that appear in GCSE papers.

Students often lose marks on fraction questions when they add numerators and denominators separately or forget to find common denominators before subtracting fractions. Well-structured fraction worksheets address these misconceptions by providing varied practice that requires students to demonstrate each step, helping teachers identify exactly where understanding breaks down during marking.

Which year groups use these fractions worksheets?

These worksheets span Year 7 through Year 11, covering both Key Stage 3 and Key Stage 4 requirements. Year 7 resources typically consolidate primary fraction knowledge before extending to four operations with fractions, whilst Year 8 and 9 worksheets develop fluency with mixed numbers, improper fractions, and connections to decimals and percentages. Year 10 and 11 materials focus on GCSE preparation, including algebraic fractions and multi-step problems.

The progression reflects how fractions underpin numerous GCSE topics. Teachers notice that students who haven't secured fraction operations at KS3 struggle disproportionately with algebra, ratio, and probability at KS4. Year 7 worksheets might focus on finding three-fifths of 120, whilst Year 10 resources tackle dividing algebraic fractions or solving equations involving fractional coefficients, demonstrating how complexity builds across key stages.

Why is converting between mixed numbers and improper fractions important?

Converting between mixed numbers and improper fractions is fundamental for performing accurate calculations, particularly multiplication and division. Students must recognise that 2¾ and 11/4 represent the same quantity but that the improper form is essential when multiplying or dividing fractions. The conversion process reinforces understanding of what fractions actually represent: 2¾ means 2 + ¾, which equals 8/4 + 3/4, giving 11/4.

This skill connects directly to real-world applications in construction, cooking, and engineering. When a carpenter needs to cut 3½ lengths of wood from a 15-foot plank, converting to sevenths (7/2) allows accurate calculation of how many pieces are possible. Similarly, scaling recipes or calculating material quantities requires fluency with both forms, as measurements often appear as mixed numbers whilst calculations demand improper fractions for accuracy.

How do these worksheets help students master fraction operations?

Each worksheet builds procedural fluency through structured practice, starting with straightforward examples before introducing multi-step problems that combine operations. The resources typically include visual representations for fractions of numbers, step-by-step working for operations, and increasingly complex denominators that require students to find least common multiples independently. Answer sheets allow students to check their working at each stage rather than just final answers.

Teachers find these fraction worksheets particularly valuable for intervention groups where students need targeted practice without teacher-led instruction throughout. They work well as homework to consolidate classroom teaching, or as starter activities to diagnose whether students have retained fraction skills between topics. Paired work can be effective: one student completes odd questions whilst their partner tackles even questions, then they mark each other's work using the answer sheets and discuss any discrepancies.