2002 - JAMB Mathematics Past Questions and Answers - page 3

The ninary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).

The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is

If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)

A chord of a circle subtends an angle of 12o degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

If tan θ = 4/3, calculate sin²θ - cos²θ.

Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7

A bucket is 12 cm in diameter at the top, 8 cm in diameterat the bottom and 4 cm deep. Calculate its volume.

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8

A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45 degrees. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.