Evaluate $7\tfrac{1}{2}-(2\tfrac{1}{2}+3)\div \tfrac{33}{2}$, correct to the nearest whole number

Find the equation whose roots are 2 and $-3\tfrac{1}{2}$

From a point P,R is 5km due west and 12km due south. Find the distance between P and R

In the diagram $KL\parallel MN,\angle NMP={{30}^{\circ }}$ and $\angle NMP={{45}^{\circ }}$ find the size of the reflex $\angle KPM$

Convert 101101_two to a number in base ten

Expand $(2x-3y)(x-5y)$

The probability that John and James passes an examination are $\tfrac{3}{4}$ and $\tfrac{3}{5}$ respectively. Find the probability of both boys failing the examination.

In the diagram, PQRS is a parallelogram and $\angle QRT={{30}^{\circ }}$. Find x .

The lengths of the adjacent sides of a right-angled triangle are xcm, (x – 1)cm. If the length of the hypotenuse is $\sqrt{13}cm$ find the value of x

Solve for y in the equations

$2x-3y=22$

$3x+2y=7$

In the diagram O is the centre of the circle, $\angle MON={{80}^{\circ }}$ $\angle LMO={{10}^{\circ }}$ and $\angle LNO={{15}^{{}^\circ }}$.Calculate the value of x

A sequence is given 2 ½ , 5, 7½….. if the nth term is 25. Find n

The figure shows a quadrilateral PQRS having equal sizes and opposites sides parallel. The diagonal PR  and OS intersected perpendicularly at O, which of the following statements cannot be correct

What is the total surface area of a closed cylinder of height 10cm and diameter 7cm (Take $\pi =\tfrac{22}{7}$)

Which of the following statement describes the locus of a point R which moves in a plane such that it is equidistant from two intersecting lines?

A train moving at uniform speed, covers 36km in 21 minutes. How long does it take to cover 60km

A regular polygon has 9 sides. What is the size of one of the its exterior angles?

The total surface area of the walls of a room, 7m long, 5m wide and xm high is 96m². Find the value of x