ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Find the area of an isosceles triangle whose base is 16 cm and the length of each of the equal sides is 10 cm.

Find the base of a triangle whose area is 360 cm² and height is 24 cm.

The legs of a right-angled triangle are in the ratio 4 : 3 and its area is 4056 cm². Find the length of its legs.

The area of an equilateral triangle is (`64xxsqrt3`) cm². Find the length of each side of the triangle.

The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.

The diameter of a circle is 20 cm. Taking π = 3.14, find the circumference and its area.

The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas

The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference

The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.

The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometer?

A metal wire, when bent in the form of a square of largest area, encloses an area of 484 cm². Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.

A wire is along the boundary of a circle with a radius of 28 cm. If the same wire is bent in the form of a square, find the area of the square formed.

The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.

From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion.

Find the mean and the mode for the following data:

Find the mode of 5, 6, 9, 13, 6, 5, 6, 7, 6, 6, 3

Find the mode of 7, 7, 8, 10, 10, 11, 10, 13, 14

Find the mode of:

Find the mode of:

Find the mean, the median, and the mode of 12, 24, 24, 12, 30 and 12.