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

Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.

Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.

Find the amount and the compound interest on the following :
Rs.16000 for 3 years at 10%, 8% and 6% for successive years.

How much will Rs 25000 amount to in 2 years at compound interest, if the rates for 1^st and 2^nd years be 4% and 5% p.a. respectively?

Find compound interest on Rs 31250 for 3 years, if the rates of interest for 1^st,2^nd and 3^rd years be 8%, 10% and 12% respectively.

What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.

Factorise the following by the difference of two squares:
x² - 16

Factorise the following by the difference of two squares:
64x² - 121y²

Factorise the following by the difference of two squares:
441 - 81y²

Factorise the following by the difference of two squares:
x⁶ - 196

Factorise the following by the difference of two squares:
625 - b²

Factorise the following by the difference of two squares:

`"m"^2 - (1)/(9)"n"^2`

Factorise the following by the difference of two squares:
8xy² - 18x³

Factorise the following by the difference of two squares:
16a⁴ - 81b⁴

Factorise the following by the difference of two squares:
a(a - 1) - b(b - 1)

Factorise the following by the difference of two squares:
(x + y)² -1

Factorise the following by the difference of two squares:
x² + y² - z² - 2xy

Factorise the following by the difference of two squares:
(x - 2y)² -z²

Factorise the following:
9(a - b)² - (a + b)²

Factorise the following:
25(x - y)² - 49(c - d)²