EduRev

Open App

Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > MCQ (with Solutions): Factorisation

MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8 PDF Download

Q1: The common factor of x²y² and x³y³ is
(a) x²y²
(b) x³y³
(c) x²y³
(d) x³y2

View Answer

Ans: (a)
x²y2 = x × x × y × y
x³y³ = x × x × x × y × y × y

Q2: The common factor of x³y² and x⁴y is
(a) x⁴³y²
(b) x⁴y
(c) x³y²
(d) x³y

View Answer

Ans: (d)
x³y2 = x × x × x × y × y
x⁴y = x × x × x × x × y

Q3: The common factor of a²m⁴ and a⁴m² is
(a) a⁴m⁴
(b) a²m²
(c) a²m⁴
(d) a⁴m²

View Answer

Ans: (b)
a²m⁴ = a × a × m × m × m × m
a⁴m² = a × a × a × a × m × m

Q4: The common factor of 2x, 3x³, 4 is
(a) 1
(b) 2
(c) 3
(d) 4

View Answer

Ans: (a)
2x = 2 × x
3x³ = 3 × x × x × x
4 = 2 × 2
Hence the common factor is 1

Q5: The common factor of 10ab, 30bc, 50ca is
(a) 10
(b) 30
(c) 50
(d) abc

View Answer

Ans: (a)
10ab = 2 × 5 × a × b
30bc = 2 × 3 × 5 × b × c
50ca = 2 × 5 × 5 × c × a

Q6: The common factor of 14a²b and 35a⁴b² is
(a) a⁴b²
(b) 35a⁴b²
(c) 14a²b
(d) 7a²b

View Answer

Ans: (d)
14a²b = 2 × 7 × a × a × b
35a⁴b² = 5 × 7 × a × a × a × a × b × b

Q7: The common factor of 72x³y⁴z⁴, 120z²d⁴x⁴ and 96y³z⁴d⁴ is
(a) 96z³
(b) 120z³
(c) 72z³
(d) 24z²

View Answer

Ans: (d)
72x³y⁴z⁴ = 2 × 2 × 2 × 3 × 3 × x × x × x × y × y × y × y × z × z × z × z.
120z²d⁴x⁴ = 2 × 2 × 2 × 3 × 5 × z × z × d × d × d × d × x × x × x × x
96y³z⁴d⁴ = 2 × 2 × 2 × 2 × 2 × 3 × y × y × z × z × z × z × d × d × d × d
Hence common factor is 2 x 2 x 2 x 3 = 24z²

Q8: The factorisation of 12a²b + 15ab² is
a) 3ab (4a + 5b)
(b) 3a²b (4a + 5b)
(c) 3ab² (4a + 5b)
(d) 3a²b² (4a + 5b)

View Answer

Ans: (a)
12a²b + 15ab² = 3ab(4a + 5b)

Q9: The factorisation of x²yz + xy²z + xyz² is
(a) xyz(x + y + z)
(b) x²yz(x + y + z)
(c) xy²z(x + y + z)
(d) xyz²(x + y + z)

View Answer

Ans: (a)
x²yz + xy²z + xyz²
= xyz (x + y + z)

Q10: The factorisation of a (x + y + z) + b(x + y + z) + c(x + y + z) is
(a) (a + b + c)(x + y + z)
(b) (ab + bc + ca)(x + y + z)
(c) (xy + yz + zx)(a + b + c)
(d) none of these

View Answer

Ans: (a)
a(x + y + z) + b(x + y + z) + c(x + y + z)
= (x + y + z) (a + b + c)

Q11: The factorisation of 6xy – 4y + 6 – 9x is
(a) (3x – 2)(2y – 3)
(b) (3x + 2)(2y – 3)
(c) (3x – 2)(2y + 3)
(d) (3x + 2)(2y + 3)

View Answer

Ans: (a)
6xy – 4y + 6 – 9x
= 2y(3x – 2) – 3(- 2 + 3x)
= (3x – 2)(2y – 3)

Q12: The factorisation of x² + xy + 2x + 2y is
(a) (x + 2)(x + y)
(b) (x + 2)(x – y)
(c) (x – 2)(x + y)
(d) (x – 2)(x – y)

View Answer

Ans: (a)
x² + xy + 2x + 2y
= x(x + y) + 2(x + y) = (x + 2) (x + y).

Q13: The factorisation of ab – a – b + 1 is
(a) (a – 1)(b – 1)
(b) (a + 1)(b + 1)
(c) (a – 1)(b + 1)
(d) (a + 1)(b – 1)

View Answer

Ans: (a)
ab – a – b + 1
= a(b – 1) – 1(b – 1)
= (a – 1)(b – 1)

Q14: The factorisation of x² + x + xy + y + zx + z is
(a) (x + y + z)(x + 1)
(b) (x + y + z)(x + y)
(c) (x + y + z)(y + z)
(d) (x + y + z)(z + x)

View Answer

Ans: (a)
x² + x + xy + y + zx + z
= x(x + 1) + y(x + 1) + z(x + 1)
= (x + 1)(x + y + z)

Q15: The factorisation of x² + 8x + 16 is
(a) (x + 2)²
(b) (x + 4)²
(c) (x – 2)²
(d) (x – 4)²

View Answer

Ans: (b)
x² + 8x + 16
= (x)² + 2 (x)(4) + (4)² ((a + b)²
= a² + 2ab + b²))
= (x + 4)².

Q16: The factorisation of 36x²y² – 1 is
(a) (6xy – 1)(6xy + 1)
(b) (6xy – 1)²
(c) (6xy + 1)²
(d) (6 + xy)²

View Answer

Ans: (a)
36x²y² – 1
= (6xy)² – (1)² ((a² - b²)
= (a+b)(a-b))
= (6xy – 1)(6xy + 1)

Q17: The value of (0.68)² – (0.32)² is
(a) -1
(b) 0
(c) 1
(d) 0.36

View Answer

Ans: (d)
(0.68 + 0.32) (0.68 – 0.32)
= 0.36.

Q18: The factorisation of 3x² + 10x + 8 is
(a) (3x + 4)(x + 2)
(b) (3x – 4)(x – 2)
(c) (3x + 4)(x – 2)
(d) (3x – 4)(x + 2)

View Answer

Ans: (a)
3x2 + 10x + 8
= 3x2 + 6x + 4x + 8
= 3x(x + 2) + 4(x + 2)
= (x + 2)(3x + 4)

Q19: The factorisation of 6x² – 5x – 6 is
(a) (2x – 3)(3x + 2)
(b) (2x + 3)(3x + 2)
(c) (2x – 3)(3x – 2)
(d) (2x + 3)(3x – 2)

View Answer

Ans: (a)
6x² – 5x – 6
= 6x² – 9x + 4x – 6
= 3x(2x – 3) + 2(2x – 3)
= (2x – 3)(3x + 2)

Q20: The quotient of 28x² + 14x is
(a) 2
(b) 2x
(c) x
(d) x²

View Answer

Ans: (b)
MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8
= 2x

The document MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.

All you need of Class 8 at this link: Class 8

	Mathematics (Maths) Class 8 79 videos\|408 docs\|31 tests

Mathematics (Maths) Class 8

79 videos|408 docs|31 tests

Join Course for Free

Top Courses for Class 8

View all

FAQs on MCQ (with Solutions): Factorisation - Mathematics (Maths) Class 8

1. How can factorisation help in simplifying algebraic expressions?

Ans. Factorisation helps in simplifying algebraic expressions by breaking down the expression into its factors, making it easier to work with and solve. It also helps in finding common factors and simplifying complex expressions.

2. What are the different methods of factorisation in algebra?

Ans. Some common methods of factorisation in algebra include grouping, finding common factors, using the distributive property, and using special factorisation formulas such as the difference of squares or perfect square trinomials.

3. How can factorisation be used to solve algebraic equations?

Ans. Factorisation can be used to solve algebraic equations by factoring out common factors or applying factorisation methods to simplify the equation. This makes it easier to find the solutions or roots of the equation.

4. Can factorisation be used in real-life applications outside of algebra?

Ans. Yes, factorisation can be used in various real-life applications such as in economics, physics, engineering, and computer science. It helps in simplifying complex problems and finding optimal solutions.

5. What are the benefits of mastering factorisation in algebra?

Ans. Mastering factorisation in algebra can help improve problem-solving skills, enhance understanding of algebraic concepts, and make it easier to work with complex equations and expressions. It is a fundamental skill that is essential for further studies in mathematics.

Related Exams

Class 8 Grade 8

About this Document

	4.95/5 Rating
	Dec 24, 2024 Last updated

Document Description: MCQ (with Solutions): Factorisation for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation. The notes and questions for MCQ (with Solutions): Factorisation have been prepared according to the Class 8 exam syllabus. Information about MCQ (with Solutions): Factorisation covers topics like and MCQ (with Solutions): Factorisation Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for MCQ (with Solutions): Factorisation.

Introduction of MCQ (with Solutions): Factorisation in English is available as part of our Mathematics (Maths) Class 8 for Class 8 & MCQ (with Solutions): Factorisation in Hindi for Mathematics (Maths) Class 8 course. Download more important topics related with notes, lectures and mock test series for Class 8 Exam by signing up for free. Class 8: MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8

Description

Full syllabus notes, lecture & questions for MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8 - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 8 | Best notes, free PDF download

Information about MCQ (with Solutions): Factorisation

In this doc you can find the meaning of MCQ (with Solutions): Factorisation defined & explained in the simplest way possible. Besides explaining types of MCQ (with Solutions): Factorisation theory, EduRev gives you an ample number of questions to practice MCQ (with Solutions): Factorisation tests, examples and also practice Class 8 tests

	Mathematics (Maths) Class 8 79 videos\|408 docs\|31 tests

Mathematics (Maths) Class 8

79 videos|408 docs|31 tests

Join Course for Free

Download as PDF

Explore Courses for Class 8 exam

Top Courses for Class 8

Explore Courses

Signup for Free!

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.

Start learning for Free

10M+ students study on EduRev

Exam

Previous Year Questions with Solutions

Free

MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8

Summary

Objective type Questions

MCQs

ppt

Viva Questions

Extra Questions

study material

Important questions

past year papers

Semester Notes

video lectures

mock tests for examination

pdf

MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8

practice quizzes

Sample Paper

MCQ (with Solutions): Factorisation | Mathematics (Maths) Class 8

shortcuts and tricks

;

Additional Information about MCQ (with Solutions): Factorisation for Class 8 Preparation

MCQ (with Solutions): Factorisation Free PDF Download

The MCQ (with Solutions): Factorisation is an invaluable resource that delves deep into the core of the Class 8 exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the MCQ (with Solutions): Factorisation now and kickstart your journey towards success in the Class 8 exam.

Importance of MCQ (with Solutions): Factorisation

The importance of MCQ (with Solutions): Factorisation cannot be overstated, especially for Class 8 aspirants. This document holds the key to success in the Class 8 exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

MCQ (with Solutions): Factorisation Notes

MCQ (with Solutions): Factorisation Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to MCQ (with Solutions): Factorisation. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, MCQ (with Solutions): Factorisation Notes on EduRev are your ultimate resource for success.

MCQ (with Solutions): Factorisation Class 8 Questions

The "MCQ (with Solutions): Factorisation Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study MCQ (with Solutions): Factorisation on the App

Students of Class 8 can study MCQ (with Solutions): Factorisation alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the MCQ (with Solutions): Factorisation, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of MCQ (with Solutions): Factorisation is prepared as per the latest Class 8 syllabus.

Education Revolution