Question Library

Find the area and perimeter of a square whose length of diagonals is 20\(\sqrt2\) cm.

In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7] What is the length of the minor arc?

In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.

A rectangle with width \(\frac{3}{4}\)cm and area 3 \(\frac{3}{8}\)cm\(^2\). Find the length

A chord subtends an angle of 72º at the centre of a circle of radius 24.5m. Calculate the perimeter of the minor segment. [Take π = \(\frac{22}{7}\)

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides

The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector

The diagonal of a rhombus are 12cm and 5cm. calculate its perimeter

A cone has a base radius of 8cm and height 11cm. calculate , correct to 2d.p, the curved surface area

(a) A cylindrical well of radius 1 metre is dug out to a depth of 8 metres. (i) calculate, in m\(^{3}\), the volume of soil dug out ; (ii) if the soil is used to raise the level of rectangular floor of a room 4m by 12m, calculate, correct to the nearest cm, the thickness of the new layer of soil. [Take \(\pi = \frac{22}{7}\)]. (b) see figure b above. The diagram shows a quadrilateral ABCD in which < DAB is a right-angle. |AB| = 3.3 cm, |BC| = 3.9 cm, |CD| = 5.6 cm. (i) find the length of BD. (ii) show that < BCD = 90°.

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.