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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 11.1

2. Exercise 11.2

3. Exercise 11.3

4. Exercise 11.4

Q1) Find the circumference of the circles with the following radius: Take \left(\pi=\frac{22}{7}\right)

(a) 14 cm (b) 28 mm (c) 21 cm

Q2) Find the area of the following circles, given that:

(a) radius = 14 mm (Take

(b) diameter = 49 m

(c) radius = 5 cm(Take \pi=\frac{22}{7})

Q4) A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs 4 per meter. (Take π =\pi=\frac{22}{7})

Q5) From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take\pi=3.14)

Q6) Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15. (Take \pi=3.14

Q7) Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

Q8) Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m2. (Take \pi=3.14)

Q9) Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take \pi=\frac{22}{7})

Q10) From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. (Take \pi=\frac{22}{7}

Q11) A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the leftover aluminium sheet? (Take \pi=3.14)

Q12) The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?

(Take \pi=3.14)

Q13) A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? \left(\pi=3.14\right)

Q14) A circular flower garden has an area of 314m^2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take \pi=3.14)

Q15) Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take \pi=3.14)

Q16) How many times a wheel of radius 28 cm must rotate to go 352 m? (Take \pi=\frac{22}{7})

Q17) The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour? (Take \pi=3.14)

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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 11.1

Exercise 11.2

Exercise 11.3

Exercise 11.4

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