Waecmaths
Title  waecmaths question  

Question 1 
Simplify: $10\tfrac{2}{5}6\tfrac{2}{3}+3$ 

Question 2 
If 23_{x} =32_{5}. Find the value of x 

Question 3 
The volume of a cube is 512cm^{3}.Find the length of its side 

Question 4 
How many students took the test 

Question 5 
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 

Question 6 
Simplify: $\sqrt{12}(\sqrt{48}\sqrt{3})$ 

Question 7 
Which of the following number lines represents the solution to the inequality: $9\le \tfrac{2}{3}x7<5$ 

Question 8 
In the diagram x + y = 220^{o} . Find the value of n 

Question 9 
Given that x > y and 3 < y, which of the following is/are true? I y > 3 II. x < 3 III. x > y > 3 

Question 10 
Three quarters of a number added to two and a half number gives 13. Find the missing number 

Question 11 
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 $X\cap (Y\cup Z)$ 

Question 12 
Find the truth set of the equation ${{x}^{2}}=3(2x+9)$ 

Question 13 
The coordinates of point P and Q are (4,3) and (2, –1) respectively. Find the shorest distance between P and Q 

Question 14 
Make u the subject of the formula, $E=\frac{m}{2g}({{v}^{2}}{{u}^{2}})$ 

Questio 15 
In the diagram, $\angle QPT=\angle PTS={{90}^{\circ }}$, $\angle PQR={{110}^{\circ }}$and . Find the size of the obtuse angle QRS 

Question 16 
If x varies inversely as y varies directly as z , what is the relationship between x and z 

Question 17 
Find the gradient of the line joining the points (2 ,– 3) and (2,5) 

Question 18 
if (x – a) is a factor of $bxax+{{x}^{2}}ab$, find the other factor 

Question 19 
The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants 

Question 20 
In the diagram, PQR is straight line (m + n) = 120^{o} and (n + r) = 100^{o}. Find (m +r) 

Question 21 
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 

Question 22 
In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Calculate the value of y 

Question 
The area of a sector of a circle with diameter 12cm is 66cm^{2}. If the sector is folder to form a cone, calculate the radius of the base of the cone. [Take $\pi =\tfrac{22}{7}$] 

Question 24 
A chord 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle 

Question 25 
Which of the following is a measure of dispersion? 

Question 26 
A box contains 13 current notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box? 

Question 29 
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. 

Question 30 
if x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x: y: z 

Question 31 
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. 

Question 32 
In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ if $\angle TRQ={{x}^{\circ }}$. Find $\angle URT$in terms of x 

Question 33 
Given that $\cos x=\tfrac{12}{13}$evaluate $\frac{1\tan x}{\tan x}$ 

Question 34 
Approximate 0.0033780 to 3 significant figures 

Question 35 
Simplify $\sqrt{\frac{{{8}^{2}}\times {{4}^{n+1}}}{{{2}^{2n}}\times 16}}$ 

Question 36 
If $\frac{2}{x3}\frac{3}{x2}$is equal to $\frac{P}{(x3)(x2)}$ find P 

Question 37 
Subtract $\tfrac{1}{2}(abc)$ from the sum of $\tfrac{1}{2}(ab+c)$and $\tfrac{1}{2}(a+bc)$ 

Question 38 
A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes 

Question 39 
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 $\pi =\tfrac{22}{7}$] 

Question 41 
Determine the value of m in the diagram 

Question 43 
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 

Question 44 
In the diagram, O is the centre of the circle $\overline{PR}$is a tangent to the circle at Q and $\angle SOQ={{86}^{\circ }}$Calculate the value of $\angle SQR$
