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

Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.

The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.

The difference between simple interest and compound interest compounded annually on a certain sum is Rs.448 for 2 years at 8 percent per annum. Find the sum.

The difference between C.I. payable annually and S.I. on Rs.50,000 for two years is Rs.125 at the same rate of interest per annum. Find the rate of interest.

Factorise the following by grouping the terms:
15xy - 9x - 25y + 15

Factorise the following by grouping the terms:
15x² + 7y - 3x - 35xy

Factorise the following by grouping the terms:
9 + 3xy + x²y + 3x

Factorise the following by grouping the terms:
8(2a + b)² - 8a -4b

Factorise the following by grouping the terms:
x(x - 4)- x + 4

Factorise the following by grouping the terms:
2m³ - 5n² - 5m²n + 2mn

Factorise the following by grouping the terms:
4abx² + 49aby² + 14xy(a² + b²)

Factorise the following by grouping the terms:
9x³ + 6x²y² - 4y³ - 6xy

Factorise the following by grouping the terms:
3ax² - 5bx² + 9az² + 6ay² - 10by² - 15bz²

Factorise the following by grouping the terms:
8x³ - 24x²y + 54xy² -162y³

Factorise the following by grouping the terms:
2a + b + 3c - d + (2a + b)³ + (2a + b)²(3c - d)

Factorise the following by grouping the terms:
xy(a² + 1) + a(x² + y²)

Factorise the following by grouping the terms:
p²x² + (px² + 1)x + p

Factorise the following by grouping the terms:
x² - (p + q)x + pq

Factorise the following by grouping the terms:

`"p"^2 + (1)/"p"^2 - 2 - 5"p" + (5)/"p"`

Factorise the following by grouping the terms:
x + y + m(x + y)