Factorisation Class 8 Maths Worksheet with Quiz and Activities
Practise factorisation: common factors, grouping, identities and trinomials, with games, labs and an area model. On WitKnowLearn you get the Factorisation Class 8 online quiz, online activities and interactive games, a factor lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Factorisation Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Factorisation Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Factorisation: Common Factors, Identities and Trinomials
A short read for Class 8 before you play. These notes cover Factorisation.
🧲 Common factors and grouping
Factorising writes an expression as a product of factors. Take out the common factor first, so 2x + 4 becomes 2(x + 2). With four terms, group them in pairs and look for a shared bracket.
🔲 Using identities
The identities work backwards. a² - b² becomes (a - b)(a + b), and a² + 2ab + b² becomes (a + b)². So x² - 9 is (x - 3)(x + 3) and x² + 6x + 9 is (x + 3)².
🔺 Trinomials and checking
To factorise x² + 5x + 6, find two numbers with product 6 and sum 5. They are 2 and 3, so the factors are (x + 2)(x + 3). Always multiply back to check the answer.
Factorisation Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Factorisation for Class 8 maths. It covers taking out common factors, grouping, the three identities, factorising trinomials and checking by multiplying back.
The activities are pitched at Class 8 level. Sort expressions by method, find the missing numbers in factors and build an area model of x² + 7x + 12 in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Expression | Method | Factors |
|---|---|---|
| 2x + 4 | common factor | 2(x + 2) |
| x² - 9 | difference of squares | (x - 3)(x + 3) |
| x² + 5x + 6 | trinomial | (x + 2)(x + 3) |
How to use this page
- Flip the six cards and try the Factor Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and build an area model of x² + 7x + 12 in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
3 × 4 = 12 and 3 + 4 = 7, so the factors are (x + 3)(x + 4).
(101 - 99)(101 + 99) = 2 × 200 = 400.
This Factorisation worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Factorisation
This guide is for Class 8 students, parents and teachers. It covers Factorisation for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Factorisation
Factorising reverses expanding. This topic shows how to break an expression into factors using common factors, grouping and identities.
What is there in this chapter
- Common factors
- Grouping
- Identities
- Trinomials
- Checking
Learning objectives
- Take out common factors.
- Factorise by grouping.
- Use identities to factorise.
- Factorise simple trinomials.
- Reason with assertions and case studies.
Learning outcomes
- I can take out a common factor.
- I can use identities to factorise.
- I can factorise a trinomial.
Factorisation Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Factor Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that builds an area model of x² + 7x + 12 |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Common factor | take it out first |
| a² - b² | (a - b)(a + b) |
| Perfect square | (a + b)² |
| Trinomial | product and sum |
| Check | multiply back |
Types of questions you may see
- Factorise an expression
- Assertion and reason on identities
- Case study on a rectangle area
- Find the missing factor
Solved examples
4x² = (2x)² and 25 = 5², so it is (2x - 5)(2x + 5).
3 × 5 = 15 and 3 + 5 = 8, so the sides are (x + 3) and (x + 5).
Common mistakes
| Mistake | Correct idea |
|---|---|
| Forgetting to take out the highest common factor | Check every term |
| Writing a² + b² as (a + b)² | Squares need the middle term 2ab |
| Not checking the answer | Multiply the factors back |
Factorisation in daily life
Factorising simplifies algebra, helps find rectangle sides from areas, speeds up mental calculation and solves equations.
Tips for parents and teachers
- Take out the common factor first.
- Multiply back to check.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- 🔤Class 8 Maths Worksheet: Algebraic Expressions
- 🔲Class 8 Maths Worksheet: Algebraic Expressions and Identities
- ⚖Class 8 Maths Worksheet: Linear Equations in One Variable
- ✖Class 8 Maths Worksheet: Exponents and Powers
- 🧠Class 8 Maths Notes and Mind Maps
- 📚Class 8 Maths Worksheets, page 1
- 📚Class 8 Maths Worksheets, page 2
- 📚Class 8 Maths Worksheets, page 3
Factorisation Class 8 FAQs
What is factorisation?
It is writing an expression as a product of its factors.
How do I factorise by taking out a common factor?
Find the highest common factor of all terms and write it in front of a bracket holding what is left.
How do I factorise x² + 5x + 6?
Find two numbers with product 6 and sum 5. They are 2 and 3, so the factors are (x + 2)(x + 3).
How can I check my factors?
Multiply the factors back together. You should get the original expression.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Factor Lab, do two virtual experiments, build an area model of x² + 7x + 12 in the model and table views,, and fill in a 16-question practice sheet with a Show answers button.
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