The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ  and $\left| WX \right|=\left| XY \right|=\left| YZ \right|$, calculate the value of m

if p and q are two statements, under what condition would p → q be false

The solution of $x+2\ge 2x+1$is illustrated on the number line as

If 3x ≡ 4(mod 5), find the least value of x.

Find the n^th term of the sequence 2×3, 4×6, 8×9, 16×12

Factorize completely the expression ${{(x+2)}^{2}}-{{(2x+1)}^{2}}$

Solve the equation 2x² – x – 6 = 0

Find the values of x which is $\frac{x-5}{x(x-1)}$ undefined

The total surface area of a hemisphere is 75π cm². Find its radius

In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q,  R and S are the midpoint s of the sides of the rectangle as shown.

Calculate the area of the part of the rectangle that is not shaded