IMSU Mathematics 2012/2013 Past Questions

If your income during one year is £10,000 and the following year it is £12,000, then it has grown by

An arc subtends an angle of 50° at the centre of circle radius 6cm. Calculate the area of the sector formed.

What is the locus of points that is equidistant from points P (1, 3) and Q (3,5)?

A chord is drawn 5cm away from the centre of a circle of radius 13cm. calculate the length of the chord.

If the hypotenuse of a right-angled isosceles triangle is 2cm. what is the area of the triangle

A regular polygon has 150° as the size of each interior angle. How many sides does it have?

Find the acute angle between the straight lines y = x and √3x

If y = 3 cos 4x, dy/dx equals

A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60°. Find the width of the river.

It was Wednesday on July 15, 1964. What was the day on July 15,1965?

The average of xl x2 x3 and x4 is 16. Half the sum of x2 x3 x4 is 23. What is the value of x 1 ?