(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Find the sum on which the difference between the simple interest and compound interest at the rate of 8% per annum compounded annually would be Rs. 64 in 2 years.

A sum of Rs. 13,500 is invested at 16% per annum compound interest for 5years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of first year.
(iii) the interest for the second year, correct to the nearest rupee.

Saurabh invests Rs. 48,000 for 7 years at 10% per annum compound interest. Calculate:
(i) the interest for the first year.
(ii) the amount at the end of second year.
(iii) the interest for the third year.

Ashok borrowed Rs. 12,000 at some rate on compound interest. After a year, he paid back Rs.4,000. If the compound interest for the second year is Rs. 920, find:

1. The rate of interest charged
2. The amount of debt at the end of the second year

On a certain sum of money, lent out at C.I., interests for first, second and third years are Rs. 1,500; Rs. 1,725 and Rs. 2,070 respectively. Find the rate of interest for the (i) second year (ii) third year.

Find the square of 2a + b.

Find the square of : 3a + 7b

Find the square of : 3a - 4b

Find the square of `(3a)/(2b) - (2b)/(3a)`.

Use identities to evaluate : (101)²

Use identities to evaluate : (502)²

Use identities to evaluate : (97)²

Use identities to evaluate : (998)²

Evalute : `( 7/8x + 4/5y)^2`

Evalute : `((2x)/7 - (7y)/4)^2`

Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.

Evaluate : (4a +3b)² - (4a - 3b)² + 48ab.

If a + b = 7 and ab = 10; find a - b.

If a - b = 7 and ab = 18; find a + b.

If x + y = `7/2  "and xy" =5/2`; find:  x - y and x² - y²