ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

factorise : ab(x² + y²) - xy (a² + b²) 

factorise : m - 1 - (m-1)² + am - a 

The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find :

(i) area of the triangle ;
(ii) height of the triangle, corresponding to the largest side ;
(iii) height of the triangle, corresponding to the smallest side.

Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;

find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.

The base and the height of a triangle are in the ratio 4: 5. If the area of the triangle is 40 m²; find its base and height.

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m²; find its base and height.

The area of an equilateral triangle is `144sqrt3` cm²; find its perimeter.

The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.

A field is in the shape of a quadrilateral ABCD in which side AB = 18 m, side AD = 24 m, side BC = 40m, DC = 50 m and angle A = 90°. Find the area of the field.

The lengths of the sides of a triangle are in the ratio 4: 5 : 3 and its perimeter is 96 cm. Find its area.

Factorise xy² - xz², Hence, find the value of : 

9 x 8² - 9 x 2² 

One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.

Factorise xy² - xz², Hence, find the value of : 

40 x 5.5² - 40 x 4.5²  

The altitude and the base of a triangular field are in the ratio 6: 5. If its cost is ₹ 49,57,200 at the rate of ₹ 36,720 per hectare and 1 hectare = 10,000 sq. m, find (in metre) dimensions of the field.

Factorise: a² - 0·36 b²  

Find the area of the right-angled triangle with a hypotenuse of 40 cm and one of the other two sides of 24 cm.

Factorise: a⁴ - 625 

Factorise: x⁴ - 5x² - 36

Use the information given in the adjoining figure to find :
(i) the length of AC.
(ii) the area of an ∆ABC
(iii) the length of BD, correct to one decimal place.

    9 8
+ 4 A
C B 3