GCSE · Algebraic manipulation

Factorising with common factorsExam-style questions

Why factorising is expansion run backwards, what "factorise fully" demands, and why a difference of two squares splits instantly — plus what the factorised form is actually FOR.

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13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Factorise $4x + 12$
Level 1 · 1 markTry it
2
Factorise $x^2 + 5x$
Level 1 · 1 markTry it
3
Factorise fully $6y - 9$
Level 1 · 1 markTry it
4
Factorise

(a) $5x + 20$

(b) $y^2 - 3y$
Level 2 · 2 marksTry it
5
Factorise

(a) $6x + 15$

(b) $x^2 + 9x$
Level 3 · 2 marksTry it

8 more questions on factorising with common factors

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