Calculate the length of BQ.

In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Express area of rectangle B/area of rectangle A in terms of x.

A cone, a cylinder and a hemisphere are joined together to form an object as shown in the diagram. The height and radius of the cone is 12 cm and 5 cm respectively and the length of the cylinder is 5 cm. Find its volume.

In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Hence, calculate the length of the unknown side of rectangle B in terms of x.

The radius of a sphere is 6 cm. Find its surface area.

Calculate the length of CD.

A model of a boat is made on a scale of 0.25∶15. If the actual length of the boat is 7.2 m, find the length of the model in centimetres.

A model of a boat is made on a scale of 0.25∶15. Express the scale in the form 1 : n.

A model of a boat is made on a scale of 0.25∶15. Calculate the actual width of the boat if the width of the model is 4.5 cm.

Calculate the length of AB.

A map is drawn to a scale of 1∶2000. The actual height of a tree is 50 m and the area of a plot of land is 10 cm2 on the map. Calculate the actual area, in m2, of the land.

A cylinder of base radius 12 cm is three-quarter filled with water to a level of 15 cm. Spherical marbles, each of radius 2 cm are dropped one at a time into the cylinder. Find, in terms of π the volume of the cylinder

In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Hence, find the ratio of area of rectangle B : area of rectangle A if x=4.