ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Factorise: 25(a - 5b)² - 4(a - 3b)² 

Factorise: 15(2x - y)² - 16(2x - y) - 15  

Factorise a²b − b³. Using this result, find the value of 101² × 100 − 100³.

Evaluate (using factors) : 301² x 300 - 300³. 

Find the amount and the C.I. on ₹ 12,000 at 10% per annum compounded half-yearly.

Find the amount and the C.I. on ₹ 8,000 in `1 1/2` years at 20% per year compounded half-yearly.

Find the amount and the compound interest on ₹ 24,000 for 2 years at 10% per annum compounded yearly.

   3 A
+ 2 5
   B 2

Find the amount and the compound interest on ₹ 16,000 for 3 years at 5% per annum compounded annually.

Find the amount and the compound interest on ₹ 20,000 for `1 1/2` years at 10% per annum compounded half-yearly.

   2 A B
+ A B 1
   B 1 8

Find the amount and the compound interest on ₹ 32,000 for 1 year at 20% per annum compounded half-yearly.

   1 2 A
+ 6 A B
   A 0 9

1 A
x A
9 A

   A B
    x 6
B B B

   A B
    x 3
C A B

   A B
    x 5
C A B

    8 A 5
+ 9 4 A
1 A 3 3

The following figure shows the cross-section ABCD of a swimming pool which is a trapezium in shape. 

If the width DC, of the swimming pool, is 6.4 m, depth (AD) at the shallow end is 80 cm and depth (BC) at the deepest end is 2.4 m, find its area of the cross-section.

   6 A B 5
+ D 5 8 C
    9 3 5 1