Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Worksheet: Factorisation
Class 8 Maths - Factorisation CBSE Worksheets
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| Multiple Choice Questions |
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| True and False |
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| Fill in the Blanks |
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| Answer the following questions |
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Multiple Choice Questions
Q1: Factorize 18a²b + 27ab².
(a) 3ab(6a + 9b)
(b) 9ab(2a + 3b)
(c) 6ab(3a + 5b)
(d) 12ab(3a + 6b)
Q2: Which of the following is the greatest common factor (GCF) of 8xy and 4x²?
(a) 4x
(b) 8x
(c) 2xy
(d) 4xy
Ans: (a)
Q3: Factorize 49p² - 36.
(a) (49p - 36)(p + 1)
(b) (7p - 6)(7p + 6)
(c) (49p - 6)(p + 6)
(d) (7p + 6)(p - 1)
Q4: Which of the following statements is most correct regarding the factorization of 5xy?
(Remember: 5xy = 1 × 5 × x × y.)
(a) 1 is not a factor of 5xy.
(b) 1 is always a factor of any term, including 5xy.
(c) We must always show 1 as a factor when writing 5xy.
(d) 1 cannot be a factor unless there is a special requirement.
Q5: Factorize the quadratic expression x² - 11x + 30.
(a) (x - 1)(x - 10)
(b) (x - 5)(x - 6)
(c) (x + 5)(x + 6)
(d) (x - 3)(x - 8)
True and False
Q1: Factorization of 3x2+15x−72 is 3(x+8)(x−3).
Q2: Factorization of 6x3−8x2 is 2x2(3x−4).
Q3: h is a factor of 2π (h + r).
Q4: Factorization of 2a2−8a−64 is 2(a−8)(a+4).
Q5: Common factor of 17 abc, 34 ab2, 51a2b is 17ab
Fill in the Blanks
Q1: −x + x3 is factorised as ______
Q2: Simplified form of x2 + 5xy - 24y2x + 8y is _________
Q3: x2+7x+12 is correctly factorised as _______
Q4: Factorised form 2x2 + 4x is_____
Q5: Common factor 25x2y, 30xy2 is ____________
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Worksheet: Factorisation
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Answer the following questions
Q1: Factorize 15x² - 20x³ + 25x⁴.
Q2: Factorize x² - 2xy + y² - z².
Q3: Find the factors of 4n² + 8n + 4.
Q4: Divide n(4n² - 36) by 4n(n + 3).
Q5: Divide as directed: 7(3x + 2)(x - 4) ÷ (3x + 2)
Q6: Factorize 81q² - 16.
Q7: Find the factors of x² - 5x + 6.
Q8: Factorize the expressions and divide them as directed: x² + 6x + 8 ÷ (x + 4)
Q9: Simplify the expression: 12xy(9x² - 16y²) ÷ 4xy(3x + 4y)
Q10: Factorize the expression x⁴ - (y + z)⁴ using the difference of squares formula.
You can access the solutions to this worksheet here.
The document Class 8 Maths - Factorisation CBSE Worksheets is a part of the Class 8 Course Mathematics (Maths) Class 8.
All you need of Class 8 at this link: Class 8
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FAQs on Class 8 Maths - Factorisation CBSE Worksheets
| 1. What is factorisation in mathematics? |  |
| 2. Why is factorisation important in solving algebraic equations? | |
Ans.Factorisation is important because it allows us to rewrite equations in a simpler form, making it easier to find solutions. By factoring, we can set each factor equal to zero, which helps us find the roots of the equation.
| 3. What are some common methods of factorisation? | |
Ans.Common methods of factorisation include finding the greatest common factor (GCF), using the difference of squares, applying the quadratic formula, and factoring by grouping. Each method is suitable for different types of expressions.
| 4. How can I practice factorisation effectively for my exam? | |
Ans.To practice factorisation effectively, work on a variety of problems, starting with simpler expressions and gradually increasing the difficulty. Utilize worksheets, online resources, and past exam papers to reinforce your understanding.
| 5. What should I do if I struggle with factorisation? | |
Ans.If you struggle with factorisation, consider seeking help from a teacher or tutor. Additionally, use online tutorials, educational videos, and practice worksheets to strengthen your skills and build confidence in this area.
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Document Description: Worksheet: Factorisation for Class 8 2025 is part of Mathematics (Maths) Class 8 preparation.
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