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

3x + 23x² + 6y² + 2x + y² + ______ = 5x + 7y².

4p is the numerical coefficient of q² in – 4pq².

In like terms, the numerical coefficients should also be the same.

Write the coefficient of x² in the following:

x² – x + 4

Write the coefficient of x² in the following:

x³ – 2x² + 3x + 1

Write the coefficient of x² in the following:

1 + 2x + 3x² + 4x³

Write the coefficient of x² in the following:

y + y²x + y³x² + y⁴x³

Find the numerical coefficient of the terms :

x³y²z, xy²z³, –3xy²z³, 5x³y²z, –7x²y²z²

Find the numerical coefficient of the terms:

10xyz, –7xy²z, –9xyz, 2xy²z, 2x²y²z²

Observe the following nutritional chart carefully:

Write an algebraic expression for the amount of carbohydrates (in grams) for y units of potatoes and 2 units of rajma.

Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. Find the area of the remaining part of the plot.

Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?

Find the perimeter of the figure given below:

In a rectangular plot, 5 square flower beds of side (x + 2) metres each have been laid (see the figure). Find the total cost of fencing the flower beds at the cost of ₹ 50 per 100 metres:

A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:

1. How much wire is left?
2. If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?

The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 5 natural numbers.

The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.

The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of natural numbers from 11 to 30.

The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.

The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 7.