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

Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?

The plan and measurement for a house are given in the following figure. The house is surrounded by a path 1 m wide.

Find the following:

1. Cost of paving the path with bricks at rate of ₹ 120 per m².
2. Cost of wooden flooring inside the house except the bathroom at the cost of ₹ 1200 per m².
3. Area of Living Room.

4 squares each of side 10 cm have been cut from each corner of a rectangular sheet of paper of size 100 cm × 80 cm. From the remaining piece of paper, an isosceles right triangle is removed whose equal sides are each of 10 cm length. Find the area of the remaining part of the paper.

876543 = 8 × 10⁵ + 7 × 10⁴ + 6 × 10³ + 5 × 10² + 4 × 10¹ + 3 × 10⁰

600060 = 6 × 10⁵ + 6 × 10²

4 × 10⁵ + 3 × 10⁴ + 2 × 10³ + 1 × 10⁰ = 432010

8 × 10⁶ + 2 × 10⁴ + 5 × 10² + 9 × 10⁰ = 8020509

4⁰ + 5⁰ + 6⁰ = (4 + 5 + 6)⁰

Express the following in usual form:

8.01 × 10⁷

Express the following in usual form:

1.75 × 10^–3

Write the following number in the expanded form:

3006194

Write the following number in the expanded form:

2806196

Write the following number in the expanded form:

120719

Write the following number in the expanded form:

20068

Write down the pair of integers whose sum is −7.

Write down the pair of integers whose difference is −10.

Write down the pair of integers whose sum is 0.

Write a pair of negative integers whose difference gives 8.

Write a negative integer and a positive integer whose sum is −5.

Write a negative integer and a positive integer whose difference is −3.