ICSE ICSE Class 8 - CISCE Question Bank Solutions

By splitting into prime factors, find the square root of 11025.

By splitting into prime factors, find the square root of 396900.

By splitting into prime factors, find the square root of 194481.

Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?

Find the selling price, if:
C.P. = Rs. 950 and profit = 8%

Find the selling price, if:
C.P. = Rs. 1,300 and loss = 13%

Find the selling price, if:

C.P. = Rs. 352; overheads = Rs. 28 and profit = 20

Find the selling price, if :
C.P. = Rs.576; overheads = Rs.44 and loss = 16%

A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296

Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.

Rajesh sold his scooter to Rahim at 8% loss and Rahim, in turn, sold the same scooter to Prem at 5% gain. If Prem paid Rs. 14,490 for the scooter; find :
(i) the S.P. and the C.P. of the scooter for Rahim
(ii) the S.P. and the C.P. of the scooter for Rajesh

Find the smallest perfect square divisible by 3, 4, 5 and 6.

A shop-keeper bought rice worth Rs.4,500. He sold one-third of it at 10% profit.
If he desires a profit of 12% on the whole; find :
(i) the selling price of the rest of the rice ;
(ii) the percentage profit on the rest of the rice.

Factorise : a² + ax + ab + bx

Factorise : a² - ab - ca + bc 

Factorise : ab - 2b + a² - 2a 

Factorise : a³ -a² +a -1 

Factorise:

2a − 4b − xa + 2bx 

Factorise :  xy - ay - ax + a² + bx - ab