Important Questions for Class 8 Maths Chapter 6: We Distribute, Yet Things Multiply

Algebraic identities and multiplication of algebraic expressions often require careful calculations, making this chapter challenging if you do not practise enough questions. Without regular revision, it becomes difficult to apply formulas correctly and solve examination questions accurately.

The Important Questions for Class 8 Maths Chapter 6 – “We Distribute, Yet Things Multiply” help you practise the concepts most frequently asked in school examinations. Solving these questions strengthens your understanding of identities, improves problem-solving skills, and helps you prepare with greater confidence. 

Class 8 Maths Chapter 6 Important Questions

Practising important questions is one of the best ways to strengthen your understanding of Class 8 Maths Chapter 6. The questions below cover important concepts, algebraic identities, multiplication of algebraic expressions, and commonly asked examination problems.

Q1 Find the following product: 

 (x + 3) (x – 3) 

(A) x2 -9 (B) x2 -3 

(C) x2 +9 (D) x2 +3 

Q2 The expression (4p – 3q)2 is equivalent to: 

(A) 16p2-9q2

(B)  16p2+9q2

(C)16p2-24pq+9q2

 (D) 16P2+24pq+9q2

Q3 Find the product 

(x2 – 3x + 7) × (2x + 3) 

(A) 2x3−3x2+5x+20 

(B) 2x3−3x2+5x+25 

(C) 2x3−3x2+5x+21 

(D) 2x3−3x2+x+21 

Q4 Find the Value Of 10397 by using a suitable identity?

(A) 9891 (B) 9601 

(C) 9801 (D) 9991 

Q5 Find the value of x+y2-x-y2

(A) 4xy (B) 2xt 

(C) x2 +y2(D) 2x2 + 2y2 

Q6 Using the formula for squaring binomial, evaluate the following: 

 (54)2 

(A) 2926 (B) 2906 

(C) 2936 (D) 2916 

Q7 The product of (3a + 4b) and (3a – 4b) is equivalent to: 

(A) 9a2 + 16b2 

(B) 9a2 – 16b2 

(C) 9a2 – 24ab + 16b2 

(D) 9a2 + 24ab + 16b2 

Q8 IF a+b=5 and ab=6 and then a3+b3

(A) 35 

(B) 25 

(C) 32 

(D) 28 

Q9 The value of (102)2 using a suitable identity is:

(A) 10404 

(B) 10204 

(C) 10004

 (D) 14040 

Q10 Find a2+b2+c2,if a+b+C =9 and ab+bc+Ca=24

(A) 13 

(B) 33 

(C) 36 

(D) - 26

Q11 103xy2Z-95x2z is equal to: 

1. - 6x3y2z2

2. 6 x3y2z2 

3. -23x2y2Z2

4. 95xy3z2

Q12 The product of (2x + 5) and (4x – 3) is: 

(A) 8x2 + 14x – 15 

(B) 8x2 – 14x –15 

(C) 8x2 + 14x + 15 

(D) 8x2 – 14x + 15 

Q13 IF 5a=30a2-252, then the value of ‘a’ is 

(A) 5 

(B) 11 

(C) 15

 (D) 55 

Q14 The result of the product (y2 – 4)(y2 + 4) is: 

(A) y4 + 16

(B) y4 – 16 

(C) y2 – 16 

(D) y4 – 8 

Q15 Assertion (A): In the polynomial 2x³+7x²+1, coefficient of x³ is 2. 

Reason (R): Coefficient = numerical multiplier of the variable. 

(A) Both A and R are true and R is correct 

explanation of A. 

(B) Both A and R are true but R is not the 

explanation of A. 

(C) A is true, R is false. 

(D) A is false, R is true. 

Download Class 8 Maths Chapter 6 Important Questions PDF

Downloading the We Distribute, Yet Things Multiply Class 8 Important Questions PDF allows you to revise the chapter anytime without needing an internet connection. It helps you solve questions repeatedly, revise before school examinations, and practise important concepts in one place for better preparation.

How to Prepare for Class 8 Maths Chapter 6 - “We Distribute, Yet Things Multiply”?

Regular practice and conceptual clarity are equally important while preparing this chapter. Following a systematic approach helps you solve questions more accurately and confidently.

• Understand all algebraic identities before solving problems.

• Practise multiplication of monomials, binomials, and polynomials regularly.

• Solve all NCERT examples and exercise questions first.

• Memorise important identities and revise them frequently.

• Attempt MCQs and assertion–reason questions for better practice.

• Solve sample papers and previous school examination questions.

A strong understanding of algebraic identities and multiplication of algebraic expressions makes solving exam questions much easier. Consistent revision, concept-based learning, and regular question practice can improve your performance. You can also explore PW's learning resources to revise important topics and prepare confidently for your Class 8 Maths examinations.