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

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.

Mr Lalit invested Rs. 5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to Rs. 5325. Calculate

1) The rate of interest

2) The amount at the end of the second year, to the nearest rupee.

In what time will Rs. 1500 yield Rs. 496.50 as compound interest at 10% per annum compounded annually?

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown.

Construct the locus of points at a distance of 3.5 cm from A.

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

Construct the locus of points equidistant from AC and BC.

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

Mark 2 points X and Y which are a distance of 3.5 cm from A and also equidistant from AC and BC. Measure XY.