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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 6.1

2. Exercise 6.2

3. Exercise 6.3

4. Exercise 6.4

5. Exercise 6.5

Q1) PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Q2) ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Q3) A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.

Q4) Which of the following can be the sides of a right triangle?

(i) 2.5 cm,6.5 cm, 6 cm.

(ii) 2 cm, 2 cm, 5 cm.

(iii) 1.5 cm, 2cm, 2.5 cm.

Q5) A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

Q6) Angles Q and R of a ∆PQR are 25\degree\ and\ 65\degree Write which of the following is true:

(i) PQ^2+QR^2\ =\ RP^2

(ii) PQ^2\ +\ RP^2\ =\ QR^2

(iii) RP^2\ +\ QR^2\ =\ PQ^2

Q7) Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

Q8) The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

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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 6.1

Exercise 6.2

Exercise 6.3

Exercise 6.4

Exercise 6.5

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