Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.

The area of a square field is 60025 m². A man cycles along its boundary at 18 km/hr. In how much time will he return at the starting point?

The cost of levelling and turfing a square lawn at Rs 2.50 per m² is Rs 13322.50. Find the cost of fencing it at Rs 5 per metre. 

Find the greatest number of three digits which is a perfect square.

Find the smallest number which must be added to 2300 so that it becomes a perfect square.

Factorize each of the following algebraic expression:
4x² + 12xy +9y²

Factorize each of the following algebraic expression:
9a² − 24ab + 16b²

Factorize each of the following algebraic expression:
p²q² − 6pqr + 9r²

Factorize each of the following algebraic expression:
36a² + 36a + 9

Factorize each of the following algebraic expression:
a² + 2ab + b² − 16

Factorize each of the following algebraic expression:
9z² − x² + 4xy − 4y²

Factorize each of the following algebraic expression:
9a⁴ − 24a²b² + 16b⁴ − 256

Factorize each of the following algebraic expression:
16 − a⁶ + 4a³b³ − 4b⁶

Factorize each of the following algebraic expression:
a² − 2ab + b² − c²

Factorize each of the following algebraic expression:
x² + 2x + 1 − 9y²

Factorize each of the following algebraic expression:
a² + 4ab + 3b²

Factorize each of the following algebraic expression:
96 − 4x − x²

Factorize each of the following algebraic expression:
a⁴ + 3a² +4

Factorize each of the following algebraic expression:
4x⁴ + 1

Factorize each of the following algebraic expression:
4x⁴ + y⁴