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

The mean proportional between 4 and 9 is ______.

In the given figure, AC || DE || BF. If AC = 24 cm, EG = 8 cm, GB = 16 cm, BF = 30 cm.

1. Prove ΔGED ∼ ΔGBF
2. Find DE
3. DB : AB

What number must be added to each of the numbers 4, 6, 8, 11 in order to get the four numbers in proportion?

If `(a + b)^3/(a - b)^3 = 64/27`

1. Find `(a + b)/(a - b)`
2. Hence using properties of proportion, find a : b.

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`

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 mixture of paint is prepared by mixing 2 parts of red pigments with 5 parts of the base. Using the given information in the following table, find the values of a, b and c to get the required mixture of paint.

Where did the game of cricket originate?

Who invented the game of basketball?

How many playing members of each team are on the court?

When was volleyball invented?