Waecmaths
Title  waecmaths question  

Question 1 
Evaluate (0.13)^{3} correct to three significant figures. 

Question 2 
Simplify 11011_{two} – 1101_{two} 

Question 3 
Simplify $\frac{{{25}^{\tfrac{2}{3}}}\div {{25}^{\tfrac{1}{6}}}}{{{({1}/{5}\;)}^{\tfrac{7}{6}}}\times {{({1}/{5}\;)}^{\tfrac{1}{6}}}}$ 

Question 4 
Simplify $\frac{x4}{4}\frac{x3}{6}$ 

Question 5 
Given that $\frac{12x}{4x3}$, find the value of x for which y is undefined 

Question 6 
P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is 

Question 7 
A fair coin is tossed three times. Find the probability of getting two head and one tail 

Question 8 
If 30% of y is equal to x, what, in terms of x is 30% of 3y 

Question 9 
A baker used 40% of a 50kg of flour. If $\tfrac{1}{8}$ of the amount used was for cake, how many kilogram of flour was used for the cake? 

Question 10 
If tan y = 0.404, where y is acute, find cos 2y 

Question 11 
In the diagram PQUV, PQTU, QRTU and QRST are parallelograms. $\left UV \right=4.8cm$ and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV 

Question 12 
Which of this diagram show(s) the correct method of constructing a perpendicular line PQ at a given X on 

Question 13 
In the diagram $\left QR \right=5cm$ $\angle PQR={{60}^{\circ }}$ and $\angle PSR={{45}^{\circ }}$. Find $\left PS \right$ leaving your answer in surd form 

Question 14 
Represent the solution of the inequality $\frac{x2}{2}\ge \frac{x+3}{4}$ on the number line 

Question 15 
In the diagram find x^{o} + y^{o} 

Question 16 
The ratio of boys to girls in a class is 5:3, find the probability of selecting at random a girl from the class 

Question 17 
In the diagram PR is a diameter of the circle centre O. RS is a tangent at R and $\angle QPR={{58}^{\circ }}$, find $\angle QRS$ 

Question 18 
The table below satisfies the relation $y=k\sqrt{x}$ , where k is a positive constant.


Question 19 
The table below satisfies the relation $y=k\sqrt{x}$ , where k is a positive constant. Use it to answer 18 and 19


Question 20 
What must be added to ${{x}^{2}}3x$ to make it a perfect square? 

Question 21 
In the diagram P, Q, R, S are points on the circle $R\overset{\wedge }{\mathop{Q}}\,S$ = 30^{o}, $P\overset{\wedge }{\mathop{R}}\,S$ = 50^{o} and $P\overset{\wedge }{\mathop{S}}\,Q$ = 20^{o}. What is the value of x^{o} + y^{o} ? 

Question 22 
Given that $(2x1)(x+5)=2{{x}^{2}}mx5$, what is the value of m? 

Question 23 
What is the place value of 9 in the number 3.0492? 

Question 24 
If the simple interest on a sum of money invested at 3% per annum for 2½ years in N123. Find the principal 

Question 25 
A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years 

Question 26 
If $2x+y=10$ and $y\ne 0$ which of the following is not a possible value of x 

Question 27 
In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110^{o} and the bearing of Q from P is 050^{o}. Find $\angle PQR$ 

Question 28 
If x + y = 12 and 3x – y =20, find the value of 2x – y 

Question 29  
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Question 31 
If ${{\log }_{a}}270{{\log }_{a}}10+{{\log }_{a}}\tfrac{1}{3}=2$ what is the value of a? 

Question 32 
A conical water–jug is 7cm in diameter and 6cm deep. Find the volume of water it can hold [Take $\pi =\tfrac{22}{7}$ ] 

Question 33 
In the diagram, the two circles have a common a centre O, if the area of the larger circle is 100π and that of the smaller circle is 49 π. Find x 

Question 34 
If $P={{\left[ \frac{Q(RT)}{15} \right]}^{\tfrac{1}{3}}}$ Make T the subject of the relation 

Question 35 
In the diagram, PQR is a straight line, QRST is a parallelogram$\angle TPQ={{72}^{\circ }}$ and $\angle RST={{126}^{\circ }}$. What type of triangle is ΔPQT 

Question 36 
A seller allows 20% discount for cash payment on a marked price of his goods. What is the ratio of the cash payment to the marked price 

Question 37  
Question 38  
Question 39 
Find the n^{th} tem of the sequence 5, 10 , 20, 40, 80,… 

Question 40 
The diagram shows an arc MN of a circle centre O, with radius 10cm, If $\angle MON={{72}^{\circ }}$ Calculate the length of the arc, correct to three significant figures. [Take $\pi =\tfrac{22}{7}$] 