Mathematics International 0607: Geometry Topical Past Paper Questions

In this task you will look at the length of a line drawn on the curved surface of a cylinder. This line is called a helix. In this task, diagrams are not drawn to scale. A rectangle of paper is wrapped around a cylinder with diameter 10 cm. The long edges of the paper meet along…

Solid A is mathematically similar to solid B. The surface area of solid A is $ 383 \, cm^{2} $. The surface area of solid B is $ 792 \, cm^{2} $. The volume of solid B is $ 1810 \, cm^{3} $. Find the volume of solid A.

Triangle ABC is isosceles with AB = BC. (a) Show that AC = 13.5 cm correct to 3 significant figures. [3] (b) Calculate the length AB. cm [3] (c) Find the area of ABCD. $ \mathrm{cm}^{2} $ [3]