Question Library

The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.

Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

In the diagram, \(\overline{PQ//RS}\) is a trapezium with QR//PS. U and T are points on \(\overline{PS}\) such that \(\overline{|PU|}\) = 5 cm, \(\overline{|QU|}\) = 12 cm and ∠PUQ= ∠STR =90°. If the area of PQR = 20 cm\(^2\), calculate, correct to the nearest whole number, the: (a) perimeter; (b) area; of the trapezium

(a) Two places X and Y on the equator are on longitudes 67°E and 123°E respectively. (i) What is the distance between them along the equator? (ii) How far from the North pole is X? [Take \(\pi = \frac{22}{7}\) and radius of earth = 6400km]. (b) SEE FIGURE B above, In the diagram, PQR is a circle centre O. N is the mid-point of chord PQ. |PQ| = 8cm, |ON| = 3cm and < ONR = 20°. Calculate the size of < ORN to the nearest degree.