Fractions Worksheets
Add Mixed Numbers with the Same Denominator
Year groups: 7, 8

Adding and subtracting fractions with different denominators (A)
Year groups: 7, 8

Adding and subtracting fractions with different denominators (B)
Year groups: 7, 8

Comparing Fractions
Year groups: 7

Converting Between Minutes and Hours (A)
Year groups: 7, 8

Dividing Fractions by Integers
Year groups: 7, 8

Finding Fractions of Amounts
Year groups: 7, 8

Finding the Whole (A)
Year groups: 7, 8

Finding the Whole (B)
Year groups: 7, 8

Finding Unit Fractions of Amounts
Year groups: 7, 8

Fraction - Increase and Decrease
Year groups: 7, 8, 9

Fractions on Number Lines (A)
Year groups: 7

Fractions on Number Lines (B)
Year groups: 7

Introducing the Fraction Wall
Year groups: 7, 8

Labelling a Number Line with Mixed Numbers
Year groups: 7, 8

Manipulating Fractions
Year groups: 7, 8

Mixed Numbers and Improper Fractions (A)
Year groups: 7, 8

Mixed Numbers and Improper Fractions (B)
Year groups: 7, 8

One Number as a Fraction of Another (A)
Year groups: 7, 8

One Number as a Fraction of Another (B)
Year groups: 7, 8

Ordering Fractions
Year groups: 7, 8, 9

Partitioning Mixed Numbers
Year groups: 7, 8

Simplifying fractions (A)
Year groups: 7, 8

Simplifying Fractions (B)
Year groups: 7, 8

Simplifying Fractions (C)
Year groups: 7, 8

Time as Fractions
Year groups: 7, 8

Using a Fraction Wall - Comparing Fractions
Year groups: 7, 8

Using The Fraction Wall - Adding Fractions
Year groups: 7, 8

Using The Fraction Wall - Equivalent Fractions
Year groups: 7, 8

Add and Subtract Fractions and Decimals
Year groups: 8, 9

Add and Subtract Mixed Numbers
Year groups: 8, 9, 10

Adding and Subtracting Fractions
Year groups: 8, 9

Dividing Fractions
Year groups: 8, 9

Dividing Integers by Fractions
Year groups: 8, 9

Dividing Mixed Numbers
Year groups: 8, 9, 10

Multiply Mixed Numbers
Year groups: 8, 9, 10

Multiplying and Dividing Fractions
Year groups: 8, 9

Multiplying Fractions
Year groups: 8, 9

Multiplying Fractions - Using the Area Model
Year groups: 8, 9

Multiplying Unit Fractions - Using the Area Model
Year groups: 8, 9

Operating Fractions (A)
Year groups: 8, 9

Operating with Fractions (C)
Year groups: 8, 9

Fraction Problem Solving (A)
Year groups: 9, 10

Fraction Problem Solving (B)
Year groups: 9, 10

Fraction, Percentage and Ratio Problems
Year groups: 9, 10, 11

Recurring and Terminating Decimals
Year groups: 9, 10

Finding the Reciprocal
Year groups: 10, 11

Operating Fractions (B)
Year groups: 10, 11

Operating Fractions Including Negatives
Year groups: 10, 11

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.