ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Without doing the actual addition, find the sum of:

1 + 3 + 5 + 7 + 9 + ………………… + 51 + 53

Write three sets of Pythagorean triplets such that each set has numbers less than 30.

Can a polyhedron have 8 faces, 26 edges, and 16 vertices?

Can a polyhedron have:
(i) 3 triangles only?
(ii) 4 triangles only?
(iii) a square and four triangles?

Name the polyhedron that can be made by folding each of the following nets:

(i)

(ii)

(iii)

Draw nets for the following polyhedrons:

factorise:  2a³ - 50a 

factorise:  54a²b² - 6 

factorise:  64a²b - 144b³ 

factorise:  (2x - y)³ - (2x - Y) 

factorise:  x² - 2xy + y² - z² 

Factorise: x² - y² - 2yz - z² 

Write the quotient when the sum of 73 and 37 is divided by 10.

factorise:  7a⁵ - 567a  

factorise:  `5"x"^2 - (20"x"^4)/9`

Gautam takes a loan of ₹ 16,000 for 2 years at 15% p.a. compound interest. He repays ₹ 9,000 at the end of the first year. How much must he pay at the end of the second year to clear the debt?

Find the amount and the compound interest on ₹ 4,000 in 2 years, if the rate of interest for the first year is 10% and for the second year is 15%.

Find the amount and the compound interest on ₹ 10,000 in 3 years, if the rates of interest for the successive years are 10%, 15%, and 20% respectively.

Find which of the following numbers are divisible by 10:
(i) 5100
(ii) 4612
(iii) 3400
(iv) 8399

A parallelogram has sides of 15 cm and 12 cm; if the distance between the 15 cm sides is 6 cm; find the distance between 12 cm sides.