CSEC Additional Mathematics Paper 3 May/June 2013 - Free CXC Past Paper with Answers

A circle is drawn with centre at origin, O, and radius 6 cm. Find the coordinates of all intersections of the circle with an origin centred square of side length 10 cm whose sides are parallel to the coordinate axes as illustrated in Figure 1.

The cuboid shown in Figure 2 has width $x$ m and its length is twice its width. The volume of the cuboid is $720 \text{ m}^3$ .

Find an expression for the height, $h$ , of the cuboid in terms of $x$ .

Show that an expression for the surface area, $A$ , of the cuboid is given by

$A = \frac{2160}{x} + 4x^2$ .

Hence show that A has a stationary value when $x = 3\sqrt{10}$ .

CSEC Additional Mathematics Paper 3 May/June 2013 Questions

Question 1 (20 marks)