How important for SOF IMO?

Important — factorisation appears in 2-3 questions per paper, often combined with other algebra topics.

Can I practice on SparkEd?

Yes! 60 curated Olympiad questions at sparkedmaths.com.

Exam Prep

Factorisation for Math Olympiad: Complete Preparation Guide

Break down expressions and build up your Olympiad algebra skills!

OlympiadClass 8

SparkEd Math18 March 20268 min read

Why This Matters

$Factorisation is the reverse of expansion, and it is one of the most satisfying mathematical skills to master. In Olympiad papers, factorisation questions test your ability to recognize patterns and break down complex expressions.$

$For Class 8 students, competition problems go beyond routine factoring. They test whether you can spot common factors in unusual expressions, apply algebraic identities creatively, and use factoring by grouping for complex polynomials.$

Best Strategy

$Master factorisation:$

Step 1: Common Factor Method

$6x^2 + 12x = 6x(x + 2)$

Step 2: Grouping Method

$ax + bx + ay + by = x(a+b) + y(a+b) = (a+b)(x+y)$

Step 3: Identity-Based Factoring

$a^2 - b^2 = (a+b)(a-b)$

Step 4: Practice on SparkEd

$60 curated Olympiad factorisation questions that test pattern recognition.$

Practice this topic on SparkEd — free visual solutions and AI coaching

Try Free

Common Pitfalls

$Mistakes to avoid:$

$x^2 + 9$

Practice Questions

$Try these!$

Question 1

$x^2 - 10x + 25$

$(x-5)^2$

Question 2

$4a^2 - 9b^2$

$= (2a)^2 - (3b)^2 = (2a+3b)(2a-3b)$

Question 3

$x^3 + 3x^2 + 3x + 1$

$(x+1)^3$

How SparkEd Helps

$SparkEd offers 60 curated Olympiad-level Factorisation questions for Class 8. Completely free at sparkedmaths.com!$

Practice These Topics on SparkEd

Factorisation (Class 8 Olympiad)

Frequently Asked Questions

Try SparkEd Free

Visual step-by-step solutions, three difficulty levels of practice, and an AI-powered Spark coach to guide you when you are stuck. Pick your class and board to start.

Start Practicing Now

Back to all articles