Simplify $\frac{\sqrt{12}-\sqrt{3}}{\sqrt{12}+\sqrt{3}}$

Three boys shard some oranges. The first received $\tfrac{1}{3}$of the oranges and second received $\tfrac{2}{3}$ of the remainder. If the third boy received the remaining 12 oranges, how many oranges did they share?

In the diagram above, calculate the value of x

Find the curved surface area of a cone with circular base diameter 10cm and height 12cm

Three straight line EF, GH, and LK intersect at O as shown above. If $\angle KOF={{52}^{o}}$and$\angle LOH={{85}^{o}}$, calculate the size of $\angle EOG$

If$\sin \theta =-\tfrac{1}{2}\text{ for }0<\theta <{{360}^{o}}$, the value of θ is 

A sector of a circle has an area of 55cm². IF the radius of the circle is 10cm , calculate the angle of the sector.[take $\pi =\tfrac{22}{7}$]

Find the equation of the perpendicular at point (4,3) to the line y +2x – 5

In the diagram above, O is the centre of the circle $\angle UOT=70^\circ$ and $\angle RST=100^\circ$ Calculate $\angle RUO$

Find the coordinate of the midpoint of the line joining (3, –4) and (–1, 10)