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Factorisation — Study Plan

ICSE · Class 8 · Mathematics

A step-by-step study plan for Factorisation, ICSE Class 8 Mathematics: what to learn first, what to practise and when to revise.

62 questions24 flashcards4 formulas & key relations5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Basic Ideas and Common Factors, 2. Factorisation by Grouping, 3. Difference of Two Squares.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 62 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Factorisation after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • A factor is one part of a product.
  • Factorisation is the reverse of multiplication.
  • An expression can be factorised only if it can be written as a product of simpler expressions.
  • Look for the greatest common factor in all terms.
  • Include both number and variable part.
  • The common factor may even be negative if that helps make the bracket simpler.
  • Use grouping when there are four, six, or another even number of terms.
  • Choose groups so that each group has a common factor.
  • After factorising each group, look for one common bracket.

Common Mistakes to Avoid

The largest common factor can be any common term, even if it is not the largest monomial dividing every term.

A trinomial can be factorised by splitting the middle term into any two terms whose sum matches, even if their product is wrong.

The sign of the two numbers in trinomial factorisation depends only on the product, not on the sum.

Memory Tips

Meaning of factorisation

Factor of a product

Common monomial factor method

Largest common monomial factor of 5x^2 - 10x

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Frequently Asked Questions

What are the important topics in Factorisation for ICSE Class 8 Mathematics?
Key topics in Factorisation include Basic Ideas and Common Factors, Factorisation by Grouping, Difference of Two Squares, Factorising Trinomials. Study these first, then practise questions on each for Class 8 exams.
How should I revise Factorisation for Class 8 exams?
Learn the core ideas first, then work through the 62 practice questions on Factorisation. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Factorisation

All ICSE Class 8 Mathematics Study Plan

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