Secondary School (English Medium) (5 to 8) कक्षा ७ - CBSE Question Bank Solutions for Mathematics

`(-5)/6 + (-1)/6` = ______.

Find the sum of `8/13` and `3/11`.

Find the sum of `7/3` and `(-4)/3`.

Complete the following table by finding the sums:

Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the rational number which when added to x gives y.

Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find the rational number which when added to z gives us x.

Taking x = `(-4)/9`, y = `5/12` and z = `7/18`, find x + (y + z).

What should be added to `(-1)/2` to obtain the nearest natural number?

If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to ______.

12 m² is the area of ______.

What will be the area of the largest square that can be cut out of a circle of radius 10 cm?

Area of the square MNOP of the given figure is 144 cm². Area of each triangle is ______.

Area of a square of side 6 m is equal to the area of ______ squares of each side 1 cm.

Rani bought a new field that is next to one she already owns (see figure). This field is in the shape of a square of side 70 m. She makes a semi-circular lawn of maximum area in this field.

1. Find the perimeter of the lawn.
2. Find the area of the square field excluding the lawn.

Rani bought a new field that is next to one she already owns in the given figure. This field is in the shape of a square of side 70 m. She makes a semi-circular lawn of maximum area in this field. Find the area of the square field excluding the lawn.

In the following figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.

Find the area of a square inscribed in a circle whose radius is 7 cm (see figure).

[Hint: Four right-angled triangles joined at right angles to form a square]

Find the area of the shaded portion in a circle whose radius is 7 cm (see figure).

[Hint: Four right-angled triangles joined at right angles to form a square]

A room is 4.5 m long and 4 m wide. The floor of the room is to be covered with tiles of size 15 cm by 10 cm. Find the cost of covering the floor with tiles at the rate of ₹ 4.50 per tile.

Study the layout given in the following figure and answer the questions:

1. Write an expression for the total area covered by both the bedrooms and the kitchen.
2. Write an expression to calculate the perimeter of the living room.
3. If the cost of carpeting is ₹ 50/m², write an expression for calculating the total cost of carpeting both the bedrooms and the living room.
4. If the cost of tiling is ₹ 30/m², write an expression for calculating the total cost of floor tiles used for the bathroom and kitchen floors.
5. If the floor area of each bedroom is 35 m², then find x.