Waecmaths
Title  waecmaths question  

Question 1 
If $\{x:2\le x\le 18;x\in integer\}$and 7 + x = 4(mod 9). Find the highest value of x 

Question 2 
The sum of 11011_{2}, 11111_{2} and 10000_{2} is 10m10n0_{2}, find the value of m and n 

Question 3 
A trader bought an engine for 15,000dollars outside Nigeria. If the exchange rate is 0.075dollars to N1.00, how much did the engine cost in naira? 

Question 4 
If $\frac{{{27}^{x}}\times {{3}^{1x}}}{{{9}^{2x}}}=1$, find the value of x 

Question 5 
Find the 7^{th} term of the sequence 2, 5, 10, 17, 26, _, _, _ 

Question 6 
Given that ${{\log }_{x}}64=3$, evaluate $x{{\log }_{2}}8$ 

Question 7 
If 2^{x} = y, find ${{2}^{(2+\tfrac{x}{3})}}$ 

Question 8 
Factorize completely $6ax12by9ay+8bx$ 

Question 9 
Find the equation whose roots are ¾ and –4 

Question 10 
If m =4, n =9 and r =16, evaluate $\tfrac{m}{n}1\tfrac{7}{9}+\tfrac{n}{r}$ 

Question 11 
Adding 42 to a given positive number gives the same result as squaring the number. Find the number. 

Question 12 
Ada draws a graph of $y={{x}^{2}}x2$and $y=2x1$on the same axes. Which of the these equations is she solving 

Question 13 
The volume of a cone of height 3cm is $38\tfrac{1}{2}$cm^{2}. Find the radius of its base [Take $\pi =\tfrac{22}{7}$] 

Question 14 
A sector of a circle with radius 6cm subtends an angle of 60^{o} at the centre. Calculate its perimeter in terms of π 

Question 15 
The dimensions of a rectangular tanks are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tanks of height 4cm. Calculate the base radius of the cylindrical tank [Take $\pi =\tfrac{22}{7}$] 

Question 16 
In the diagram, O is the centre of the circle If PQ $PQ\parallel RS$and $\angle ONS={{140}^{\circ }}$find the size of $\angle POM$ 

Question 17 
In the diagram, PTR is a tangent to the circle centre O, if the angle TON = 108^{o}. Calculate the size of angle PTN 

Question 18 
In the diagram, $PQ\parallel RT$, $QR\parallel SU$, $\angle PQR={{48}^{\circ }}$AND find the value of x 

Question 19 
In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20 19. Calculate the value of angle PTR


Question 20 
In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20 

Question 21 
The table below shows the values for a linear graph
Use it to answer question 21 and 22. 21. Find the gradient of the line 

Question 22 
The table below shows the values for a linear graph


Question 23 
Given that $\tan x=\tfrac{2}{3}$, where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$, find the value of $2\sin x$ 

Question 24 
PQRS is a square. If X is the midpoint of PQ, Calculate correct to the nearest degree, $\angle PXS$ 

Question 25 
The angle of elevation of an aircraft from a point K on the horizontal ground is 30^{o}. If the aircraft is 800m above the ground. How far is it from K? 

Question 26 
The population of students in a schools is 810. If this is represented on a pie chart. Calculate the sectoral angle for a class of 72 students. 

Question 27 
The scores of twenty students in a test are as follows 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 61, 63, 65, 67, 70, 73, 75. Find the third quartile 

Question 28 
The table shows the distribution of the scores of some students in a test. Calculate the mean score. 

Question 29 
The probabilities that kebba, Ebou, and Omar will hit a target are $\tfrac{2}{3},\tfrac{3}{4}$and $\tfrac{4}{5}$ respectively. Find the probability that only Kebba will hit target 

Question 30 
In the diagram, $UW\parallel YZ$, $\left WX \right=6cm$, $\left XY \right=16cm$, and $\left ZX \right=12cm$. Calculate $\left VX \right$ 

Question 31 
Tom will be 25 years old in n years time. If he is 5 years younger than Bade, Find Bade’s present age. 

Question 32 
If $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{3}}$is simplified as $m+n\sqrt{6}$, find the value of (m + n) 

Question 33 
In the diagram, $\overline{OT}$and $\overline{PR}$ are straight lines $\angle ROS=(3n{{20}^{\circ }}),$$\angle POT=2m$, $\angle SOT=n$$\angle POL=m$ and $\angle QOL$is a right angle. Find the value of n 

Question 34 
Make k the subject of the relation $T=\sqrt{\frac{TkH}{kH}}$ 

Question 35 
Which of the following is used to determine the mode of a grouped data? 

Question 36 
The area of a rhombus is 110cm^{2}. If the diagonal are 20cm and (2x +1)cm long. Find the value of x 

Question 37 
Simplify $\frac{3xy}{xy}\frac{2x+3y}{2xy}+\frac{1}{2}$ 

Question 38 
Illustrate graphically, the solution of $\frac{y}{2}+\frac{1}{8}>\frac{5y}{8}$ 

Question 39 
A farmer uses $\frac{2}{5}$of his land to grow cassava, $\frac{1}{3}$of the remainder for yam and the rest for maize. Find the part of the land used for maize 

Question 40 
The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km, how far would the vehicle go on 9 litres of petrol 