Year 11 Algebra Worksheets
Add and Subtract Algebraic Fractions (B)

Form and Solve Linear Simultaneous Equations

Forming and Solving Quadratic Equations

Iteration

Multiply and Divide Algebraic Fractions (A)

Multiply and Divide Algebraic Fractions (B)

Quadratic Expressions and Equations Involving Areas

Simplify Algebraic Fractions (A)

Simplify Algebraic Fractions (B)

Solving Equations - Unknowns are Indices

Solving Linear Simultaneous Equations

Solving Linear Simultaneous Equations - Change One Equation

Solving Linear Simultaneous Equations - Same Coefficients

Solving Linear Simultaneous Equations - Three Methods

Solving Linear Simultaneous Equations - Using Bar Models

Solving Non-linear Simultaneous Equations

Solving Quadratic Equations

Solving Quadratic Equations by Completing the Square
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Solving Quadratic Equations by Factorising
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Solving Quadratic Equations by Formula
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Solving Quadratic Equations Involving Fractions

Solving Quadratic Equations Using All Three Methods

Solving Simultaneous Equations - Using Substitution

Solving Simultaneous Equations Graphically (B)

Using Graphs to Solve Non-linear Equations

Year 11 Algebra Worksheets PDF Downloads with Step-by-Step Solutions
We've all been there - hunting through endless resources trying to find algebra worksheets that don't oversimplify or overwhelm. These worksheets strike that perfect balance, covering everything from basic algebraic manipulation to complex equation solving. What makes them different? Each problem comes with detailed solutions that show the thinking process, not just the final answer (surprisingly useful for homework help!).
Essential Algebra Skills Covered in These Year 11 Maths Worksheets
We've packed quite a lot into these worksheets! Students progress from fundamental algebraic terms and expressions through to advanced problem-solving techniques. The age problems worksheets are particularly popular - students love the real-world connections. You'll find comprehensive coverage of factorisation, simultaneous equations, quadratic functions, and algebraic fractions that builds systematically towards exam confidence.
Here are a few topics covered in our Algebra Worksheets:
• Expanding Brackets
• Factorising
• Solving Functions
• Graphs of Circles
• Non-Linear Functions
• Indices
• Inequalities
• Linear Functions
• Proof
• Real Life Graphs
• Rearranging Equations
• Sequences and Simplifications, etc.
Why Year 11 Students Need Regular Algebra Practice Worksheets
Here's what we've noticed in classrooms across the UK - students who practise algebra regularly perform significantly better in their GCSE maths exams. It's that simple connection between consistent practice and improved performance. These worksheets provide the repetition students need without becoming tedious, plus they're perfect for homework, cover lessons, or revision sessions.
Key benefits students experience:
• Improved problem-solving speed - Essential for timed exams
• Better algebraic manipulation skills - Foundation for A-level success
• Increased confidence with complex equations - Reduces exam anxiety
• Stronger pattern recognition - Helps identify solution methods quickly
• Enhanced logical thinking - Transfers to other GCSE subjects
Real-World Applications Where Students Use Year 11 Algebra Skills
Students always ask, "When will I ever use this?" - and honestly, algebraic thinking appears everywhere! From calculating compound interest in business studies to solving physics motion problems, these algebra concepts connect across the curriculum. It's actually quite satisfying when students realise how engineering, computer science, and even psychology courses build on these fundamental skills.
Students use algebra skills in:
• GCSE Physics calculations - Motion, electricity, and wave equations
• Business Studies problems - Profit calculations and break-even analysis
• Geography coursework - Population growth and climate data modelling
• Computer Science programming - Algorithm development and logical structures
• A-level Maths preparation - Advanced functions and calculus foundations
• Real-life situations - Budgeting, home improvements, and career planning