Year 11 Algebra Worksheets

Teaching Year 11 algebra can feel like solving puzzles - students need that "aha!" moment when complex equations finally click. That's exactly why our curriculum experts developed these comprehensive algebra worksheets, designed specifically for UK students tackling GCSE-level algebraic concepts. Each worksheet builds confidence through carefully structured practice that actually makes sense to teenagers.

Add and Subtract Algebraic Fractions (B)

Preview of Add and Subtract Algebraic Fractions (B)

Adding and Subtracting Algebraic Fractions (A)

Preview of Adding and Subtracting Algebraic Fractions (A)

Algebra Addition Pyramids (A)

Preview of Algebra Addition Pyramids (A)

Algebra Addition Pyramids (B)

Preview of Algebra Addition Pyramids (B)

Algebra Addition Pyramids (C)

Preview of Algebra Addition Pyramids (C)

Algebra Multiplication Pyramids (A)

Preview of Algebra Multiplication Pyramids (A)

Algebra Multiplication Pyramids (B)

Preview of Algebra Multiplication Pyramids (B)

Algebraic Angles in Parallel Lines

Preview of Algebraic Angles in Parallel Lines

Algebraic Fractions (A)

Preview of Algebraic Fractions (A)

Algebraic Fractions (B)

Preview of Algebraic Fractions (B)

Algebraic Multiplication Grids

Preview of Algebraic Multiplication Grids

Algebraic Perimeters

Preview of Algebraic Perimeters

Collecting Like Terms - Using Algebra Tiles

Preview of Collecting Like Terms - Using Algebra Tiles

Expanding and Factorising Mixed Exercise

Preview of Expanding and Factorising Mixed Exercise

Find the Values

Preview of Find the Values

Form and Solve Linear Simultaneous Equations

Preview of Form and Solve Linear Simultaneous Equations

Forming and Solving Equations

Preview of Forming and Solving Equations

Forming and Solving Equations involving Angles

Preview of Forming and Solving Equations involving Angles

Forming and Solving Linear Equations: a𝑥 = b and 𝑥/a = b

Preview of Forming and Solving Linear Equations:  a𝑥 = b and 𝑥/a = b

Forming and Solving Linear Equations: x + a = b and x - a = b

Preview of Forming and Solving Linear Equations: x + a = b and x - a = b

Forming and Solving Quadratic Equations

Preview of Forming and Solving Quadratic Equations

Fractional Coefficients

Preview of Fractional Coefficients

I Think of A Number Problems

Preview of I Think of A Number Problems

Introducing Algebra Tiles

Preview of Introducing Algebra Tiles

Iteration

Preview of Iteration

Language of Algebra

Preview of Language of Algebra

Manipulating Equations

Preview of Manipulating Equations

Multiply and Divide Algebraic Fractions (A)

Preview of Multiply and Divide Algebraic Fractions (A)

Multiply and Divide Algebraic Fractions (B)

Preview of Multiply and Divide Algebraic Fractions (B)

Quadratic Expressions and Equations Involving Areas

Preview of Quadratic Expressions and Equations Involving Areas

Showing Expressions as Equivalent

Preview of Showing Expressions as Equivalent

Simplify Algebraic Fractions (A)

Preview of Simplify Algebraic Fractions (A)

Simplify Algebraic Fractions (B)

Preview of Simplify Algebraic Fractions (B)

Simplifying Expressions

Preview of Simplifying Expressions

Solving Equations - Unknowns are Indices

Preview of Solving Equations - Unknowns are Indices

Solving Equations - Unknowns on Both Sides

Preview of Solving Equations - Unknowns on Both Sides

Solving Equations 15 Minute Challenge (A)

Preview of Solving Equations 15 Minute Challenge (A)

Solving Equations 15 Minute Challenge (B)

Preview of Solving Equations 15 Minute Challenge (B)

Solving Equations Involving Area of Rectangles

Preview of Solving Equations Involving Area of Rectangles

Solving Equations Involving Brackets

Preview of Solving Equations Involving Brackets

Solving Equations Involving Fractions

Preview of Solving Equations Involving Fractions

Solving Equations with Algebraic Perimeters

Preview of Solving Equations with Algebraic Perimeters

Solving Equations with Unknowns on Both Sides - Using Algebra Tiles

Preview of Solving Equations with Unknowns on Both Sides - Using Algebra Tiles

Solving Linear Equations (A)

Preview of Solving Linear Equations (A)

Solving Linear Equations (B)

Preview of Solving Linear Equations (B)

Solving Linear Equations (C)

Preview of Solving Linear Equations (C)

Solving Linear Equations (D)

Preview of Solving Linear Equations (D)

Solving Linear Simultaneous Equations

Preview of Solving Linear Simultaneous Equations

Solving Linear Simultaneous Equations - Change One Equation

Preview of Solving Linear Simultaneous Equations - Change One Equation

Solving Linear Simultaneous Equations - Same Coefficients

Preview of Solving Linear Simultaneous Equations - Same Coefficients

Solving Linear Simultaneous Equations - Three Methods

Preview of Solving Linear Simultaneous Equations - Three Methods

Solving Non-linear Simultaneous Equations

Preview of Solving Non-linear Simultaneous Equations

Solving One Step Equations with Algebra Tiles

Preview of Solving One Step Equations with Algebra Tiles

Solving One Step Linear Equations

Preview of Solving One Step Linear Equations

Solving Quadratic Equations (A)

Preview of Solving Quadratic Equations (A)

Solving Quadratic Equations (B) (by Factorising)

Preview of Solving Quadratic Equations (B) (by Factorising)

Solving Quadratic Equations (C) (by Quadratic Formula)

Preview of Solving Quadratic Equations (C) (by Quadratic Formula)

Solving Quadratic Equations (D) (by Completing the Square)

Preview of Solving Quadratic Equations (D) (by Completing the Square)

Solving Quadratic Equations (E) - Using all Three Methods

Preview of Solving Quadratic Equations (E) - Using all Three Methods

Solving Simultaneous Equations - Using Substitution

Preview of Solving Simultaneous Equations - Using Substitution

Solving Simultaneous Equations Graphically (A)

Preview of Solving Simultaneous Equations Graphically (A)

Solving Simultaneous Equations Graphically (B)

Preview of Solving Simultaneous Equations Graphically (B)

Solving Two Step Equations with Algebra Tiles

Preview of Solving Two Step Equations with Algebra Tiles

Spotting Like Terms

Preview of Spotting Like Terms

Think of A Number Expressions

Preview of Think of A Number Expressions

Trial and Improvement (A)

Preview of Trial and Improvement (A)

Trial and Improvement (B)

Preview of Trial and Improvement (B)

Using Graphs to Solve Non-linear Equations

Preview of Using Graphs to Solve Non-linear Equations

Words and Expressions

Preview of Words and Expressions

Writing Formulae

Preview of Writing Formulae

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