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1. NCERT Solutions - Mathematics, Class 7

CHAPTERS

1. Integers

2. Fractions and Decimals

3. Data Handling

4. Simple Equations

5. Lines and Angles

6. The Triangle and its properties

7. Congruence of Triangles

8. Comparing Quantities

9. Rational Numbers

10. Perimeter and Area

11. Algebraic Expressions

12. Exponents and Powers

13. Symmetry

14. Visualising Solid Shapes

EXERCISES

1. Exercise 4.1

2. Exercise 4.2

3. Exercise 4.3

4. Exercise 4.4

Q1) Complete the last column of the table.

Q2) Check whether the value given in the brackets is a solution to the given equation

or not:

(a) n + 5 = 19 (n = 1)

(b) 7n + 5 = 19 (n = – 2)

(c) 7n + 5 = 19 (n = 2)

(d) 4p – 3 = 13 (p = 1)

(e) 4p – 3 = 13 (p = – 4)

(f) 4p – 3 = 13 (p = 0)

Q3) Solve the following equations by trial and error method:

(i) 5p + 2 = 17 (ii) 3m – 14 = 4

Q4) Write equations for the following statements:

(i) The sum of numbers x and 4 is 9. (ii) 2 subtracted from y is 8.

(iii) Ten times a is 70. (iv) The number b divided by 5 gives 6.

(v) Three-fourth of t is 15. (vi) Seven times m plus 7 gets you 77.

(vii) One-fourth of a number x minus 4 gives 4.

(viii) If you take away 6 from 6 times y, you get 60.

(ix) If you add 3 to one-third of z, you get 30.

Q5) Write the following equations in statement forms:

(i) p + 4 = 15

(ii) m – 7 = 3

(iii) 2m = 7

(iv)\frac{m}{5}=\ 3

(v)\frac{3m}{5}=\ 6\

(vi) 3p + 4 = 25

(vii) 4p – 2 = 18

(viii) \frac{p}{2}+2\ =\ 8

Q6) Set up an equation in the following cases:

(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has.

Irfan has 37 marbles. (Take m to be the number of Parmit’s marbles.)

(ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age.

(Take Laxmi’s age to be y years.)

(iii) The teacher tells the class that the highest marks obtained by a student in her

class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest

score to be l.)

(iv) In an isosceles triangle, the vertex angle is twice either base angle. (Let the base

angle be b in degrees. Remember that the sum of angles of a triangle is 180

degrees).

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NCERT Solutions - Mathematics, Class 7

Integers

Fractions and Decimals

Data Handling

Simple Equations

Lines and Angles

The Triangle and its properties

Congruence of Triangles

Comparing Quantities

Rational Numbers

Perimeter and Area

Algebraic Expressions

Exponents and Powers

Symmetry

Visualising Solid Shapes

Exercise 4.1

Exercise 4.2

Exercise 4.3

Exercise 4.4

Lido

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