If $2{{\log }_{x}}(3\tfrac{3}{8})=6$ find the value of x

Which of the following is NOT a probability of Mary scoring 85% in a mathematics test?

The bear of Y from X is 060^o and the bearing of Z from Y =060^o. Find the bearing of X from Z

An object is 6m away from a mast. The angle of depression of the object from the top of the mast is 50^o. Find, correct to 2 decimal places the height of the mast.

If $\sin x=\tfrac{5}{13}$ and ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ find the value of $(\cos x-\tan x)$

In the diagram, O is the centre of the circle, $OM\parallel XZ$and $\angle ZOM={{25}^{\circ }}$. Calculate $\angle XYZ$

In the diagram $\overline{VX}$is a tangent to the tangent to the circle UYW at W. If $WY\parallel UV$, $\angle UYW={{95}^{\circ }}$ and $\angle UWY={{46}^{\circ }}$find $\angle UVW$

A cube and a cuboid have the same area. The volume of the cube is 64cm³. While that of the cuboid is 80cm³. Find the height of the cuboid

A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord.

In the diagram, the height of the flagpole $\left| TF \right|$ and the length of its shadows $\left| FL \right|$are in the ratio 6:8. Using K as a constant proportionality, find the shortest distance between T and L