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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) Find the square roots of each of the following numbers by Division method:

(i) 2304 (ii) 4489

(iii) 3481 (iv) 529

(v) 3249 (vi) 1369

(vii) 5776 (viii) 7921

(ix) 576 (x) 1024

(xi) 3136 (xii) 900

Q2) Find the number of digits in the square root of each of the following numbers (without any calculation):

(i) 64

(ii) 144

(iii) 4489

(iv) 27225

(v) 390625

Q3) Find the square root of the following decimal numbers:

(i) 2.56

(ii) 7.29

(iii) 51.84

(iv) 42.25

(v) 31.36

Q4) Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

(i) 402

(ii) 1989

(iii) 3250

(iv) 825

(v) 4000

Q5) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

(i) 525

(ii) 1750

(iii) 252

(iv) 1825

(v) 6412

Q6) Find the length of the side of a square whose area is 441m^2?

Q7) In a right triangle ABC, \angle B=90\degree.

(i) If AB = 6 cm, BC = 8 cm, find AC.

(ii) If AC = 13 cm, BC = 5 cm, find AB.

Q8) A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remains the same. Find the minimum number of plants he needs more for this.

Q9) There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. How many children would be left out in this arrangement?

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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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