The volume of a cube is 512cm³.Find the length of its side

The bar chart shows the score of some students in a test.If one student is selected at random, find the probability that he/she scored at most 2 marks

Which of the following number lines represents the solution to the inequality: $-9\le \tfrac{2}{3}x-7<5$

Given that x > y and 3 < y, which of the following is/are true?

I y > 3

II. x < 3

III. x > y > 3

If $X=\{0,2,4,6\}$, $Y=\{1,2,3,4\}$ and$Z=\{1,3\}$ are subset of $U=\{x:0\le x\le 6\}$, find $X\cap (Y\cup Z)$

The coordinates of point P and Q are (4,3) and (2, –1) respectively. Find the shorest distance between P and Q

In the diagram, $\angle QPT=\angle PTS={{90}^{\circ }}$, $\angle PQR={{110}^{\circ }}$and . Find the size of the obtuse angle QRS

Find the gradient of the line joining the points (2 ,– 3) and (2,5)

The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants

In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Find the value of x

The area of a sector of a circle with diameter 12cm is 66cm². If the sector is folder to form a cone, calculate the radius of the base of the cone. [Take $\pi =\tfrac{22}{7}$]

Which of the following is a measure of dispersion?

A ship sails x km due east to a point E and continues x km due north to F . Find the bearing of F from the starting point.

A trader brought sachet water for GH¢50-.00 per dozen and sold them at GH¢55.00. Calculate, correct to 2 decimal places, his percentage gain.

Given that  $\cos x=\tfrac{12}{13}$evaluate $\frac{1-\tan x}{\tan x}$

Simplify $\sqrt{\frac{{{8}^{2}}\times {{4}^{n+1}}}{{{2}^{2n}}\times 16}}$

Subtract  $\tfrac{1}{2}(a-b-c)$ from the sum of $\tfrac{1}{2}(a-b+c)$and $\tfrac{1}{2}(a+b-c)$

A chord subtends an angle of 120^o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord[Take $\pi =\tfrac{22}{7}$]

If a number is selected at random from each of the sets P = {1, 2, 3} and Q ={2, 3, 5}. Find the probability that the sum of the number is prime