Waecmaths
Title  waecmaths question  

Question 1 
Evaluate ${{({{111}_{two}})}^{2}}$ and leave your answer in base 2 

Question 2 
$\begin{align} &\text {Find the LCM of} \\ & {{2}^{3}}\times 3\times {{5}^{2}} \\ & 2\times {{3}^{2}}\times 5 \\ & {{2}^{2}}\times {{3}^{3}}\times 5 \\\end{align}$ 

Question 3 
Simplify $(0.3\times {{10}^{5}})\div (0.4\times {{10}^{7}})$ leaving your answer in the standard form 

Question 4 
If $p\propto \frac{1}{q}$ which of the following is true 

Question 5 
Simplify $3\sqrt{45}12\sqrt{5}+16\sqrt{20}$ leaving your answer in surd form 

Question 6 
Which of the following statements is true for the set $P=\{3.2\le x<5\}$ where x is an integer? 

Question 7 
Simplify $\frac{3{{x}^{3}}}{{{(3x)}^{3}}}$ 

Question 8 
N140.00 is shared between Abu, Kayode and Uche. Abu has twice as much as kayoed and Kayode as twice as much as Uche. What is kayode’s share? 

Question 9 
I am x years old and my brother is 3 years older. How old was my brother last year 

Question 10 
For what value of x is the expression $\frac{2x1}{x+3}$ not defined? 

Question 11 
If x = 3, y = 2 and z = 4. What is the value of $3{{x}^{2}}2y+z$ 

Question 12 
Solve the simultaneous equations$\begin{align} & x+y=2 \\ & 3x2y=1 \\\end{align}$ 

Question 13 
If ${{8}^{x+1}}=\frac{1}{4}$ fins x 

Question 14 
The area of a square field is 110.25m^{2}. Find the cost of fencing it round as N75.00 per metre 

Question 15 
A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle 

Question 16 
A sector of a circle of radius 14cm containing an angle of 60^{o} is folded to form a cone. Calculate the radius of the base of the cone 

Question 17 
In the diagram $\left LN \right=4cm,\angle LNM={{90}^{\circ }}$ and $\tan y=\tfrac{2}{3}$What is the area of $\triangle LMN$ 

Question 18 
Find the volume of a solid cylinder with base radius 10cm and height 14cm (take $\pi =\tfrac{22}{7}$) 

Question 19 
From the diagram, find the value of x 

Question 20 
Find the value of x in the diagram 

Question 21 
Each interior angle of a regular polygon is 162^{o}. How many sides has the polygon? 

Question 22 
From the diagram, find the value of x


Question 23 
In the diagram $\left SP \right=\left SR \right$ and $\angle PRS={{50}^{\circ }}$ Calculate $\angle PQR$ 

Question 24 
In the diagram, O is the centre of the circle and $\angle PQR={{106}^{\circ }}$ .Find the value of y 

Question 25 
In a $\Delta PQR,\text{ }\angle PQR=\angle PRQ={{45}^{\circ }}$ which of the following statement is correct? I. $\triangle PQR$is an equilateral triangle II. $\triangle PQR$ is an isosceles triangle III. $\triangle PQR$ is a right angled triangle 

Question 26 
The table gives the distribution of the marks of a number of students in a test
Find the mode of the distribution 

Question 27 
If the probability of an event occurring is x, what is the probability of the event not occurring? 

Question 28 
The table shows the ages (in years) of twenty children chosen at random from a community What is the mean age? 

Question 29 
The table shows the ages (in years) of twenty children chosen at random from a community What is the median of the distribution? 

Question 30 
Q is 32km away from P on a bearing of 042^{o} and R is 25km from P on a bearing of 132^{o}. Calculate the bearing of R from Q 

Question 31 
In the diagram$\left PQ \right=4cm$, $\left QR \right=6cm,\text{ }\left RS \right=12cm$ $\angle QRS={{90}^{\circ }}$. Find the value of x 

Question 33 
The bearing of a point P from another point Q is 310^{o}. If $\left PQ \right=200M$ how far east of Q is P? 

Question 34 
Find the value of a if ${{\log }_{10}}a+{{\log }_{10}}{{a}^{2}}=0.9030$ 

Question 35 
A messenger was paid N2.50 an hour during the normal working hours and N4.00 an hour during overtime. If he received N31.00 for 10 hours works, how many hours are for the overtime? 

Question 36 
At what rate percent will N520.00 yield a simple interest of N39.00 in three years 

Question 37 
If the ratio x : y = 3 : 5 and y : z = 4 : 7, find the ratio x: y : z 

Question 38 
The Venn diagram shows the choice of food of a number of visitors to a canteenthere were 35 visitors in all, find the value of x 

Question 39 
The Venn diagram shows the choice of food of a number of visitors to a canteen. How many people took at least two kinds of food? 

Question 40 
$\triangle PQR$ is a equilateral triangle with sides $2\sqrt{3}cm$ calculate its height


Question 41 
Which of the following is a factor of $2x{{x}^{2}}$ 