Last updated on Sep 20, 2026

Factorising (Edexcel GCSE Maths): Quizzes

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Factorising

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What is factorising?

The opposite of expanding brackets

What is the first step when factorising an expression?

Find the biggest number dividing all terms

For variables, what should you identify in each term when factorising?

Highest power in EVERY term

How should you check your factorisation is correct?

Expand brackets to get original

Factorise $3x^2 + 6x$

$3x(x + 2)$

What does the acronym D.O.T.S. stand for?

Difference Of Two Squares

What is the D.O.T.S. formula for factorising $a^2 - b^2$ ?

$(a + b)(a - b)$

Can $a^2 + b^2$ be factorised using the D.O.T.S. method?

No, only subtraction works

Factorise $x^2 - 1$

$(x + 1)(x - 1)$

Factorise $9p^2 - 16q^2$

$(3p + 4q)(3p - 4q)$

Factorise $3x^2 - 75y^2$ completely

$3(x + 5y)(x - 5y)$

Simplify $\frac{x^2 - 36}{5x + 30}$

$\frac{x - 6}{5}$

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Factorising (Edexcel GCSE Maths): Quizzes

Practise the questions

What is factorising?

What is the first step when factorising an expression?

For variables, what should you identify in each term when factorising?

How should you check your factorisation is correct?

Factorise 3x2+6x3x^2 + 6x3x2+6x

What does the acronym D.O.T.S. stand for?

What is the D.O.T.S. formula for factorising a2−b2a^2 - b^2a2−b2?

Can a2+b2a^2 + b^2a2+b2 be factorised using the D.O.T.S. method?

Factorise x2−1x^2 - 1x2−1

Factorise 9p2−16q29p^2 - 16q^29p2−16q2

Factorise 3x2−75y23x^2 - 75y^23x2−75y2 completely

Simplify x2−365x+30\frac{x^2 - 36}{5x + 30}5x+30x2−36​

Explore Edexcel GCSE Maths Revision Notes by Topics

Sequences

Powers and Roots

Algebra Basics

Multiplying Out Brackets

Factorising

Manipulating Surds

Solving quadratic equations

Solving Equations

Rearranging Formulas

Factorising Quadratics

The Quadratic Formula

Completing the Square

Quadratic Equations — Tricky Ones

Algebraic Fractions

Inequalities

Surds

Rearranging Formulas

Factorising Quadratics

The Quadratic Formula

Completing the Square

Quadratic Equations — Tricky Ones

Algebraic Fractions

Inequalities

Surds

Graphical Inequalities

Trial and Improvement

Simultaneous Equations and Graphs

Simultaneous Equations

Direct and Inverse Proportion

Proof

Explore Edexcel GCSE Maths Model Answers by Topics

Sequences

Powers and Roots

Algebra Basics

Multiplying Out Brackets

Factorising

Manipulating Surds

Solving quadratic equations

Solving Equations

Rearranging Formulas

Factorising Quadratics

The Quadratic Formula

Completing the Square

Quadratic Equations — Tricky Ones

Algebraic Fractions

Inequalities

Surds

Rearranging Formulas

Factorising Quadratics

The Quadratic Formula

Completing the Square

Quadratic Equations — Tricky Ones

Algebraic Fractions

Inequalities

Surds

Graphical Inequalities

Trial and Improvement

Simultaneous Equations and Graphs

Simultaneous Equations

Direct and Inverse Proportion

Proof

Explore Edexcel GCSE Maths Flashcards by Topics

Sequences

Powers and Roots

Algebra Basics

Factorise $3x^2 + 6x$

What is the D.O.T.S. formula for factorising $a^2 - b^2$ ?

Can $a^2 + b^2$ be factorised using the D.O.T.S. method?

Factorise $x^2 - 1$

Factorise $9p^2 - 16q^2$

Factorise $3x^2 - 75y^2$ completely

Simplify $\frac{x^2 - 36}{5x + 30}$