Waecmaths
Title  waecmaths question 

Question 1 
Express, correct to three significant figures, 0.003597 
Question 2 
Evaluate ${{(0.064)}^{\tfrac{1}{3}}}$ 
Question 3 
Solve $\frac{y+1}{2}\frac{2y1}{3}=4$ 
Question 4 
Simplify, correct to three significant figures, ${{(27.63)}^{2}}{{(12.37)}^{2}}$ 
Question 5 
If 7 + y = 4(mod 8). Find the least value if $10\le y\le 30$ 
Question 6 
If T ={ Prime numbers} and M = {odd numbers} are subsets of $\mu =\{x:0<x\le 10\text{ and }x\text{ is an integer }\!\!\}\!\!\text{ }$find $(T'\cap M')$ 
Question 7 
Evaluate $\frac{{{\log }_{3}}9{{\log }_{2}}8}{{{\log }_{3}}9}$ 
Question 8 
If 25_{y} = 1111_{two} ,find the value of y 
Question 9 
If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P. 
Question 10 
Evaluate $2\sqrt{28}3\sqrt{50}+\sqrt{72}$ 
Question 11 
If m : n = 2 : 1, evaluate $\frac{3{{m}^{2}}2{{n}^{2}}}{{{m}^{2}}+mn}$ 
Question 12 
H varies directly as p and inversely as the square of y. If H =1, P =8 and y =2, find H in terms of p and y 
Question 13 
Solve $4{{x}^{2}}16x+15=0$ 
Question 14 
Evaluate $\frac{0.42\div 2.5}{0.5\times 2.05}$ leaving the answer in standard form 
Question 15 
Simplify ${{\log }_{10}}63{{\log }_{10}}3+\tfrac{2}{3}{{\log }_{10}}27$ 
Question 16 
Bala sold an article for N6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for N6,600 
Question 17 
If $3p=4q$ and $9p=8q12$ find the value of pq 
Question 18 
If ${{(0.25)}^{y}}=32$ . Find the value of y 
Question 19 
There are 8 boys and 4 girls in a lift, What is the probability that the first person who steps out of the lift will be a boy 
Question 20 
Simplify $\frac{{{x}^{2}}5x14}{{{x}^{2}}9x+14}$ 
Question 21 
Which of these values would make $\frac{3p1}{{{p}^{2}}p}$ undefined 
Question 22 
The total surface area of a solid cylinder is 165cm^{2}. If the base diameter is 7cm, calculate its height [Take $\pi =\tfrac{22}{7}$] 
Question 23 
If ${{2}^{a}}=\sqrt{64}$ and $\frac{b}{a}=3$, evaluate ${{a}^{2}}+{{b}^{2}}$ 
Question 24 
In $\Delta XYZ$, $\left YZ \right=32cm$, $\angle YXZ=52{}^\circ $ and $\angle XZY=90{}^\circ $ Find, correct to the nearest centimetre, $\left XZ \right$ 
Question 25 
If ${{\log }_{x}}2=0.3$ evaluate ${{\log }_{x}}8$ 
Question 26 
An arc subtends an angle of 72^{o} at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5cm [Take $\pi=\frac{22}{7}$ 
Question 27 
Make b the subject of the relation$lb=\tfrac{1}{2}(a+b)h$ 
Question 28 
Eric sold his house through an agent who charged 8% commission on the selling price. 
Question 29 
. Find the angle which an arc of length 22cm subtends at the centre of a circle of radius 15cm [Take $\pi =\tfrac{22}{7}$] 
Question 30 
A rectangular board has length 15cm and width xcm. If its sides are doubled, find its new area. 
Question 31 
In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, $\left OS \right=\left OT \right$ and $\angle OST=50{}^\circ $ . Calculate the value of $\angle OPQ$

Question 32 
Factorize completely $(2x+2y)(xy)+(2x2y)(x+y)$ 
Question 33 
The interior angles of a polygon are 3x^{o}, 2x^{o}, 4x^{o}, 3x^{o} and 6x^{o}. Find the size of the smallest angle of the polygon 
Question 34 
A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colors? 
Question 35 
Find the equation of a straight line passing through the point (1, −5) and having gradient $\tfrac{3}{4}$ 
Question 36 
The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8 m above the ground. How long is the ladder 
Question 37 
If $\tan x=\frac{3}{4}$, $0{}^\circ <x<90{}^\circ $evaluate $\frac{\cos x}{2\sin x}$ 
Question 38 
From the top of a vertical cliff 20m high, a boat at sea can sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff 
Question 39 
In the diagram O is the centre of the circle of radius 18cm . If $\angle ZXY=70{}^\circ $, Calculate the length of arc ZY [Take $\pi =\tfrac{22}{7}$] 
Question 40 
In the diagram, RT is a tangent to the circle at R, $\angle PQR=70{}^\circ $, $\angle QRT=52{}^\circ $, $\angle QSR=y$ and $\angle PRQ=x$. Find the value of y 