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

If a matrix has 8 elements, what are the possible order it can have?

Construct a 2 x 2 matrix whose elements a_ij are given by a_ij = 2i – j

Construct a 2 x 2 matrix whose elements a_ij are given by a_ij = i.j

Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.

1. State the order of matrix M
2. Find the matrix M

Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the order of the matrix X

Choose the correct answer from the given four options :

If A = [a_ij]_2×2 where a_ij = i + j, then A is equal to

Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.

If A : B = 7 : 5 and B : C = 7 : 5, then A : C is ______.

If (2x + 3y) : (3x + 2y) = 4 : 3; then x : y is ______.

Two numbers are in the ratio 5 : 8. If 10 is subtracted from each number, the ratio becomes 4 : 7. The numbers are ______.

The compound ratio of x – y : x + y and (x + y)² : x² – y² is ______.

If the sub-duplicate ratio of 6x² : 24y² is ______.

If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.

A, B and C are three matrices each of order 5; the order of matrix CA + B² is ______.

If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?

If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:

If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.

Event A: Order of matrix A is 3 × 5.

Event B: Order of matrix B is 5 × 3.

Event C: Order of matrix C is 3 × 3.

Product of which two matrices gives a square matrix.

A page from a savings bank account passbook is given below:

1) Calculate the interest for the 6 months from January to June 2016, at 6% per annum.

2) If the account is closed on 1st July 2016, find the amount received by the account holder.

Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find

1. the monthly deposit
2. the maturity value.