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

Evaluate: sec² 18° - cosec² 72°

Evaluate: cosec (65° + A) - sec (25° - A)

Find the amount and the compound interest payable annually on:
Rs.16000 for 2 years at 15% and 12% for the successive years.

Find the amount and compound interest on Rs.7500 for 1`(1)/(2)` years at 8%, payable semi-annually.

Sunil borrows Rs.50,000 at 10% S.I. for 1`(1)/(2)` years. He immediately invests the entire amount for 1`(1)/(2)` years at 10% compounded annually. What is his gain at the end of the stipulated time, when he repays his loan?

Samidha borrowed Rs.7500 from Shreya at 30% per annum compounded interest. After 2 years, Samidha gave Rs.10000 and a juicer to Shreya to clear the debt. Find the cost of the juicer.

Find the amount and the compound interest on the following:
Rs.8000 for 3years at 10% per annum compounded annually.

Find the amount and the compound interest on the following :
Rs.12000 for 1`(1)/(2)` years at 5% per annum compounded annually.

Find the amount and compounded interest on Rs.15000 in 2`(1)/(2)` years at 10% p.a. compounded annually.

Find the amount on Rs 36000 in 2 years 15% p.a. compounded annually.

In what time will Rs 15625 amount to Rs 17576 at 4% p.a. compound interest?

In how many years will Rs 2000 amount to Rs 2662 at 10% p.a. compound interest?

At what rate percent will Rs.12000 yield Rs.13891.50 as compound interest in 3 years?

A sum of Rs.16820 is to be divided between two girls A and B, 27 and 25 years old respectively, in such a way that, if their portions be invested at 5% per annum compound interest payable annually, they will receive equal amounts on reaching 40 years of age. What is the share of each in the original sum of money?

Factorise the following by splitting the middle term:
x² + 6x + 8

Factorise the following by splitting the middle term:
x² - 11x + 24

Factorise the following by splitting the middle term:
x² + 5x - 6

Factorise the following by splitting the middle term:
p²- 12p - 64

Factorise the following by splitting the middle term:
y² - 2y - 24