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1. NCERT Solutions - Mathematics , Class 8

CHAPTERS

1. Rational Numbers

2. Linear Equations in One Variable

3. Understanding Quadrilaterals

4. Data Handling

5. Squares and Square Roots

6. Cubes and Cube Roots

7. Comparing Quantities

8. Algebraic Expressions and Identities

9. Visualising Solid Shapes

10. Mensuration

11. Exponents and Powers

12. Direct and Inverse Proportions

13. Factorisation

14. Introduction to Graphs

15. Playing with Numbers

EXERCISES

1. Exercise 6.1

2. Exercise 6.2

3. Exercise 6.3

4. Exercise 6.4

Q1) What could be the possible ‘ones’ digits of the square root of each of the following numbers:

(i) 9801

(ii) 99856

(iii) 998001

(iv) 657666025

Q2) Without doing any calculation, find the numbers which are surely not perfect squares:

(i) 153

(ii) 257

(iii) 408

(iv) 441

Q3) Find the square roots of 100 and 169 by the method of repeated subtraction.

Q4) Find the square roots of the following numbers by the Prime Factorization method:

(i) 729

(ii) 400

(iii) 1764

(iv) 4096

(v) 7744

(vi) 9604

(vii) 5929

(viii) 9216

(ix) 529

(x) 8100

Q5) For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

(i) 252 (ii) 180

(iii) 1008 (iv) 2028

(v) 1458 (vi) 768

Q6) For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

(i) 252

(ii) 2925

(iii) 396

(iv) 2645

(v) 2800

(vi) 1620

Q7) The students of class VIII of a school donated ` 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

Q9) Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.

Q10) Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

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NCERT Solutions - Mathematics , Class 8

Rational Numbers

Linear Equations in One Variable

Understanding Quadrilaterals

Data Handling

Squares and Square Roots

Cubes and Cube Roots

Comparing Quantities

Algebraic Expressions and Identities

Visualising Solid Shapes

Mensuration

Exponents and Powers

Direct and Inverse Proportions

Factorisation

Introduction to Graphs

Playing with Numbers

Exercise 6.1

Exercise 6.2

Exercise 6.3

Exercise 6.4

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