Question Library

The positions of two countries, P and Q, are (15ºN, 12ºE) and (65ºN, 12ºE) respectively. What is the difference in latitude?

A 120º sector of a circle of radius 21 cm is bent to form a cone. What is the base radius of the cone?

A cylindrical container, closed at both ends, has a radius of 7 cm and a height of 5 cm. Use this information to answer the questions below. What is the volume of the container?

A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm\(^2\) if we add 2 cm to each side of the rectangle. Find the length of the shorter side.

Calculate the area of the composite figure above.

The area of a trapezium is 200 cm\(^2\). Its parallel sides are in the ratio 2 : 3 and the perpendicular distance between them is 16 cm. Find the length of each of the parallel sides.

The perimeter of an isosceles right-angled triangle is 2 meters. Find the length of its longer side.

The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector. \((Take \pi = \frac{22}{7})\)

An equilateral triangle has a side 2 cm. Calculate the height of the triangle.

The length of the diagonal of a square is 12 cm. Calculate the area of the square.

The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.

a. In the diagram above, PQR is an equilateral triangle of side 18 cm. M is the midpoint of QR. An arc of a circle with center P touches QR at M and meets PQ at A and PR at B. Calculate, correct to two decimal places, the area of the shaded region. (take \(\pi = \frac{22}{7})\)

a. Two regular polygons P and Q are such that the number of sides of P is twice the number of sides of Q. The difference between the exterior angle of P and Q is 45°.find the number of sides of p. b. The area of a semi-circle is 32π \(cm^2\). Find, in terms of π, the circumference of the semi-circle.

a. In the diagram above, the radius of the sector of circle centre O is 7 cm and ∠MON is 60°. Find, correct to one decimal place, the area of the shaded portion. (take \(\pi = \frac{22}{7})\) b. The x and y intercepts of a straight line are \(\frac{-3}{4} and \frac{2}{7}\) respectively. Find the equation of the line.

A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?