In the diagram O is the centre of circle and PQ is a diameter. Triangle of RSQ is an equilateral triangle of side 4cm. Find the area of the shaded region

In the diagram, $\left| XR \right|=4cm$, $\left| RZ \right|=12cm,\left| SR \right|=n,\text{ }\left| YZ \right|=m$ and $\overline{SR}\parallel \overline{YZ}$. Find m in terms of n

The volume of a cylinder is 1200cm³ and the area of its base is 150cm². Find the height of the cylinder 

Two circles have radii 16cm and 23cm. What is the difference between their circumferences? (take $\pi =\tfrac{22}{7}$)

Simplify $\frac{4}{2x}-\frac{2+x}{x}$ 

Find the smallest value of k such that ${{2}^{2}}\times {{3}^{3}}\times 5\times k$ is a perfect square 

For what range of values of x is $4x-3(2x-1)>1$

Expand the expression $(3a-xy)(3a+xy)$

Make w the subject of the relation $\frac{a+bc}{wd+f}=g$

Which of the following is a factor of $2-x-{{x}^{2}}$