(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

If x, y and z are in continued proportion, Prove that:

`x/(y^2.z^2) + y/(z^2.x^2) + z/(x^2.y^2) = 1/x^3 + 1/y^3 + 1/z^3`

The perimeter of a rectangular field is 28 m and its area is 40 sq. m. Its sides are ______.

In the given figure, the value of x is ______.

The area of the given rectangle is 60 sq. m and its longer side is 10 m, the perimeter of the rectangle is ______.

The perimeter of a square is numerically equal to its area. The perimeter of the square is ______.

If the width of the uniform shaded portion of x m; its area in terms of x is ______.

The length of a rectangle is 3 m more than its width. If its area is 180 m²; the length of the rectangle is ______.

If x, 2, 10 and y are in continued proportion, the values of x and y are respectively:

If x : y = y : z, then x² : y² is ______.

The mean proportion between `3 + 2sqrt(2)` and `3 - 2sqrt(2)` is ______.

If 2x, 9 and 18 are in continued proportion, the value of x is ______.

If x + y + z = 0, the value of `x/(y + z)` is ______.

If a, b, c and d are in proportion, the value of `(8a^2 - 5b^2)/(8c^2 - 5d^2)` is equal to ______.

The mean proportional to `sqrt(3) + sqrt(2)` and `sqrt(3) - sqrt(2)` is ______.

The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.

The values of A and B are:

ls – 8, – 8, – 8, – 8, ........, an A.P.?

If 5, 7 and 9 are in A.P., then which of the following is in A.P.?

A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x per cent, find the cost price of the article.

A trader bought an article for Rs. x and sold it for Rs. 52, thereby making a profit of (x – 10) per cent on his outlay. Calculate the cost price.

By selling a chair for Rs. 75, Mohan gained as much per cent as its cost. Calculate the cost of the chair.