(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.

A two digit number is 4 times the sum of its digit and twice the product of its digit. Find the number.

Three years ago, a man was 5 times the age of his son. Four years hence, he will be thrice his son's age. Find the present ages of the man and his son.

The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.

The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.

The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.

The hypotenuse of a right-angled triangle is 17cm. If the smaller side is multiplied by 5 and the larger side is doubled, the new hypotenuse will be 50 cm. Find the length of each side of the triangle.

The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.

The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm², find the hypotenuse.

The area of right-angled triangle is 600cm². If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.

The area of the isosceles triangle is 60 cm², and the length of each one of its equal side is 13cm. Find its base. 

The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle. 

A farmer wishes to grow a 100m² rectangular vegetable garden. Since he was with him only 30m barbed wire, he fences 3 sides of the rectangular garden letting the compound of his house to act as the 4th side. Find the dimensions of his garden .

There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path. 

The speed of a boat in still water is 15km/ hr. It can go 30km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.

State the co-ordinates of the images of the following point under reflection in the x-axis :

(3 , -9)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(-7, 5)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(0, 6)

State the co-ordinates of the images of the following point under reflection in the x-axis:

(-4,-8)

State the co-ordinates of the images of the following point under reflection in the y-axis:

(2, 8)