Year 10 Algebra Worksheets

Our vast range of Year 10 algebra worksheets is specially curated to help your secondary students master essential GCSE maths topics. All of our expert-made printable resources cover a wide variety of topics, including solving equations, factoring, and expanding brackets, among others. Year 10 marks a crucial point in every student's maths journey. Our algebra worksheets bridge the gap between KS3 foundation skills and GCSE requirements. Each of our resources targets specific learning objectives whilst building confidence in algebraic thinking. Your students will develop problem-solving skills through our carefully structured questions that gradually progress from basic to advanced levels.

Add and Subtract Algebraic Fractions (B)

Adding and Subtracting Algebraic Fractions (A)

Algebra Addition Pyramids (A)

Algebra Multiplication Pyramids (A)

Algebraic Proof (A)

Algebraic Proof (B)

Changing the Subject: Requires Factorisation

Collecting Like Terms - Using Algebra Tiles

Completing the Square

Completing the Square - Using Algebra Tiles

Composite Functions (B)

Distance Time Graphs

Does the Point Lie on the Line?

Drawing Conversion Graphs

Drawing Distance Time Graphs

Drawing Gradients (A)

Drawing Gradients (B)

Drawing Straight Line Graphs

Equations of Proportion - with Three Variables

Expanding and Factorising Mixed Exercise

Expressions and Functions

Factorising Expressions

Factorising Quadratic Expressions (B)

Find the Values

Forming and Solving Equations

Forming Expressions from Function Machines

Geometric Sequences (B)

Graphing Inequalities (C)

Indices (B)

Inputs and Outputs

Introducing Algebra Tiles

Introducing Functions - Using Function Machines

Linear Functions: y = x + c

Multiply and Divide Algebraic Fractions (A)

Order of Operations - Introducing Brackets and Indices

Order of Operations - Multiplication, Division, Addition and Subtraction

Plotting Cubic Graphs

Powers, Roots and Indices

Quadratic Sequences - Using the Quadratic Sequence Formula

Rationalising the Denominator - with Binomial Denominators

Rearranging Formulae (A)

Rearranging Formulas with Function Machines

Reflecting Graphs

Simplify Algebraic Fractions (A)

Simplify Algebraic Fractions (B)

Solving Equations - Unknowns on Both Sides

Solving Equations with Algebraic Perimeters

Solving Inequalities (B)

Solving Inequalities (C)

Solving Inequalities with Two Inequality Signs

Solving Quadratic Equations (E) - Using all Three Methods

Solving real life problems using graphs

Speed Time Graphs

Straight Line Equations and Tables of Values (A)

Substituting into Expressions (C)

Substituting into Expressions using Negative Numbers

Substituting into Formulae (A) Word Problems

Substituting into Formulae (B)

Substituting into Quadratic Expressions

Substitution - Using Algebra Tiles

Substitution Builder (C)

Think of A Number Expressions

Trial and Improvement (A)

Using the Nth Term (Linear)

Writing Formulae

Printable PDF Worksheets with Comprehensive Answer Sheets

All of the Year 10 algebra worksheet comes as a downloadable PDF with separate answer sheets. Download these premium ready-to-use, printable resources right away to initiate an engaging learning process. Teachers save valuable marking time whilst students can self-assess their progress. Our clear layout makes printing easy for classroom sets or individual use. Each worksheet maintains consistent formatting across all topics, ensuring students focus on learning rather than navigating confusing layouts.

What's Included in These Year 10 Algebra Worksheets

Our comprehensive collection covers all essential algebra topics for Year 10 students:

• Solving Equations - Single and multi-step equations with brackets

• Expanding Brackets - Single brackets, double brackets, and perfect squares

• Factorising Expressions - Common factors, difference of two squares, and quadratic expressions

• Substitution - Evaluating expressions and formulae with given values

• Linear Functions - Graphs, gradients, and y-intercepts

• Algebraic Fractions - Simplifying and manipulating fractional expressions

• Surds and Indices - Laws of indices and simplifying surds

Each topic includes progressive difficulty levels to challenge every student appropriately.

Why These Year 10 Algebra Resources Are Essential for GCSE Success

Algebra forms the foundation of GCSE maths, appearing across multiple exam papers. Our worksheets align perfectly with current GCSE specifications, ensuring students learn relevant skills. Regular practice builds mathematical fluency, reducing exam anxiety and boosting confidence. Students who master algebra in Year 10 perform significantly better in their final GCSE exams.

Real-Life Applications of Year 10 Algebra Skills

Algebra isn't just abstract mathematics - it's everywhere in daily life. Students use linear equations when calculating mobile phone contracts or comparing shopping deals. Engineers apply factorising skills when designing structures. Scientists use substitution in formulae for experiments and research. Understanding these connections helps students appreciate maths beyond the classroom.