ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

For the following, find the least number that must be added so that the resulting number is a perfect square 511.

For the following, find the least number that must be added so that the resulting number is a perfect square 7172.

For the following, find the least number that must be added so that the resulting number is a perfect square 55078.

Construct angle ABC = 90°. Draw BP, the bisector of angle ABC. State, the measure of angle PBC.

Draw angle ABC of any suitable measure.

(i) Draw BP, the bisector of angle ABC.
(ii) Draw BR, the bisector of angle PBC and draw BQ, the bisector of angle ABP.
(iii) Are the angles ABQ, QBP, PBR and RBC equal?
(iv) Are the angles ABR and QBC equal?

Draw a line segment AB of length 5.3 cm. Using two different methods bisect AB.

Factorise: 16 - 9x²

Factorise: 4x² - 81y² 

Factorise: 1 - 100a² 

Factorise: `4/25 - 25b^2`

Factorise: (a+ 2b)² - a²  

Factorise: (5a - 3b)² - 16b²  

Factorise: a⁴ - (a² - 3b²)² 

Factorise:  (5a - 2b)² - (2a - b)² 

Factorise:  1 - 25 (a+ b)² 

Factorise: 4(2a + b)² - (a - b)²  

Factorise: 25(2x + y)² - 16(x - y)² 

Factorise: 49(x - y)² -9(2x + y)²  

Factorise: `(6 2/3)^2 - (2 1/3)^2`

Factorise: `(7 3/10)^2 - (2 1/10)^2`