In diagram \[\left| QR \right|=10m,\text{ }\left| SR \right|=8m,\]\[\angle QPS={{30}^{\circ }},\angle QRP={{90}^{\circ }}\text{ and }\left| PS \right|=x\]find x

A sector of a circle which subtends 172^o at the centre of the circle has a perimeter of 600cm. Find, correct to the nearest cm, the radius of the circle [Take $\pi =\tfrac{22}{7}$]

The radii of the base of two cylindrical tins P and Q are r and 2r respectively. If the water level in P is 10cm high. What would be the height of the same quantity of water in Q

In what modulus is it true that 9 + 8 = 5

Find the number of terms in the Arithmetic Progression (A.P) 2, –9, –20, …. –141

Each exterior angle of a polygon is 30^o. Calculate the sum of the interior angles

The probability of an event P happening is $\tfrac{1}{5}$ and that of event Q is $\tfrac{1}{4}$. If the event are independent, what is the probability that neither of them happens

In the diagram,  O is the centre of the circle $\overline{PR}$is a tangent to the circle at Q and $\angle SOQ={{86}^{\circ }}$ Calculate the value of $\angle SQR$

If a number is selected at random from each of the sets P = {1, 2, 3} and Q ={2, 3, 5}. Find the probability that the sum of the number is prime

Determine the value of m in the diagram