(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Express the following decimal as a rational number.

2.67

Express the following decimal as a rational number.

4.6724

Express the following decimal as a rational number.

0.017

Express the following decimal as a rational number.

17.027

Find the selling price of a camera bought for Rs.4600 and sold at a profit of 15%.

Find the selling price of a watch bought for Rs.4050 and sold at a loss of 14%.

A carpenter purchases furniture set for Rs.21000. He then spends Rs.500 in transporting the goods to his workshop and another Rs.4500 on repairs. At what price must he sell to make a profit of 20% overall?

Anant bought toffees at 5 for a rupee. How many for a rupee must he sell to gain 25%?

By selling tie for Rs.648, a shopkeeper gains 8%. At what price should he sell the tie to gain 10%?

The net difference between selling a shirt at a profit of 10% and 15% is Rs.80. What are the selling prices?

A fruit vendor bought 60 kg of apples at Rs. 90 per kg. He sold 40 kg of the apples at a loss of 10%. At what per kg should he sell the remaining apples so as to gain 25% on the whole.

Find the amount and the compound interest payable annually on the following :

Rs.10000 for 2`(1)/(2)` years at 6% per annum.

Factorise the following by taking out the common factors:
4x²y³ - 6x³y² - 12xy²

Factorise the following by taking out the common factors:
5a(x² - y²) + 35b(x² - y²)

Factorise the following by taking out the common factors:
2x⁵y + 8x³y² - 12x²y³

Factorise the following by taking out the common factors:
12a³ + 15a²b - 21ab²

Factorise the following by taking out the common factors:
24m⁴n⁶ + 56m⁶n⁴ - 72m²n²

Factorise the following by taking out the common factors:
(a - b)² -2(a - b)

Factorise the following by taking out the common factors:
2a(p² + q²) + 4b(p² + q²)

Factorise the following by taking out the common factors:
81(p + q)² -9p - 9q