Core Mathematics

1Find the area of a trapezium whose parallel sides are 6 cm and 10 cm and height 4 cm.

2Find the area of a circle of diameter 14 cm (π = 22/7).

3A cuboid measures 5 cm by 4 cm by 3 cm. The length of its longest diagonal is

4A cylinder of radius 7 cm is filled with water to a depth of 10 cm. A stone is dropped in and the water rises 2 cm. The volume of the stone is (π = 22/7)

5The volume of a sphere is 288π cm³. Find its radius.

6A chord 16 cm long is 6 cm from the centre of a circle. Find the area of the circle in terms of π.

7Find the volume of a sphere of radius 3 cm (π = 3.14).

8Find the volume of a cylinder of radius 7 cm and height 10 cm. (Take π = 22/7)

9A cylinder has a volume of 308 cm³ and radius 7 cm. Find its height. (Take π = 22/7.)

10Find the volume of a cylinder of radius 7 cm and height 10 cm (π = 22/7).