Secondary School (English Medium) (5 to 8) Class 7 - CBSE Question Bank Solutions for Mathematics

In the following figure, QS ⊥ PR, RT ⊥ PQ and QS = RT.

1. Is ∆QSR = ∆RTO? Give reasons.
2. Is ∠PQR = ∠PRQ? Give reasons.

In the following figure, state the three pairs of equal parts in ΔABC and ΔEOD. Is ΔABC = ΔEOD? Why?

`(-2)/9 - 7/9` = ______.

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

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

What should be subtracted from `(-2)/3` to obtain the nearest integer?

A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (see the figure). Area of remaining sheet of paper is ______.

Area of shaded portion in the following figure is ______.

People of Khejadli village take good care of plants, trees and animals. They say that plants and animals can survive without us, but we can not survive without them. Inspired by her elders Amrita marked some land for her pets (camel and ox) and plants. Find the ratio of the areas kept for animals and plants to the living area.

The perimeter of a rectangle is 40 m. Its length is four metres less than five times its breadth. Find the area of the rectangle.

A wall of a room is of dimensions 5 m × 4 m. It has a window of dimensions 1.5 m × 1 m and a door of dimensions 2.25 m × 1 m. Find the area of the wall which is to be painted.

The dimensions of a plot are 200 m × 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. How much area did he get for building the houses?

Priyanka took a wire and bent it to form a circle of radius 14 cm. Then she bent it into a rectangle with one side 24 cm long. What is the length of the wire? Which figure encloses more area, the circle or the rectangle?

A carpet of size 5 m × 2 m has 25 cm wide red border. The inner part of the carpet is blue in colour (see figure). Find the area of blue portion. What is the ratio of areas of red portion to blue portion?

Use the following figure, showing the layout of a farm house:

1. What is the area of land used to grow hay?
2. It costs ₹ 91 per m² to fertilise the vegetable garden. What is the total cost?
3. A fence is to be enclosed around the house. The dimensions of the house are 18.7 m × 12.6 m. At least how many metres of fencing are needed?
4. Each banana tree required 1.25 m² of ground space. How many banana trees can there be in the orchard?

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in the following figure. Find the area of the remaining portion.

A school playground is divided by a 2 m wide path which is parallel to the width of the playground, and a 3 m wide path which is parallel to the length of the ground (see figure). If the length and width of the playground are 120 m and 80 m respectively, find the area of the remaining playground.

In a park of dimensions 20 m × 15 m, there is a L shaped 1 m wide flower bed as shown in the following figure. Find the total cost of manuring for the flower bed at the rate of Rs 45 per m².

Dimensions of a painting are 60 cm × 38 cm. Find the area of the wooden frame of width 6 cm around the painting as shown in the following figure.

A rectangular field is 48 m long and 12 m wide. How many right triangular flower beds can be laid in this field, if sides including the right angle measure 2 m and 4 m, respectively?