In the diagram \[\left| PR \right|=\left| QR \right|\] and $\left| PR \right|=\left| RS \right|=\left| SP \right|$ , calculate the size of $\angle QRS$

In the diagram PQRS is a rhombus$\left| PR \right|=10cm\text{ and }\left| QS \right|=24cm$. Calculate the perimeter of the rhombus.

If the volume of a cube is 343cm³. Find the length of its side

POR is a sector of a circle centre O, radius 4cm, if $\angle PQR={{30}^{{}^\circ }}$. Find, correct to 3 significant figures, the area of sector POR $\pi =\tfrac{22}{7}$ 

In the diagram $\angle QPR={{90}^{\circ }}$ , if ${{q}^{2}}=25-{{r}^{2}}$ find the value of p

Simplify $\frac{2{{x}^{2}}-5x-12}{4{{x}^{2}}-9}$

If $p=\tfrac{3}{5}\sqrt{\tfrac{q}{r}}$ express q in term of p and r

If 4y is greater than the sum of y and 3x, by how much is y greater than x

Factorize $5{{y}^{2}}-2ay-3{{a}^{2}}$

Given that x = 2 and $y=-\frac{1}{4}$, evaluate $\frac{{{x}^{2}}y-2xy}{5}$