Waecmaths
Title  waecmaths question 

Question 1 
Simplify $(3\tfrac{1}{2}+4\tfrac{1}{3})\div (\tfrac{5}{6}\tfrac{2}{3})$ 
Question 2 
In a particular year, the exchange rate of Naira (N) varies directly with the Dollars. If N1222 is equivalent to 8 dollars. Find the Naira equivalent to 36dollars 
Question 3 
If $\log 2=x,\log 3=y\text{ and }\log 7=z$ find, in term of x, y and z. The value of $\log (\tfrac{28}{3})$ 
Question 4 
Arrange the following numbers in descending order of magnitude 22_{three}, 34_{five}, 21_{six} 
Question 5 
Find the value to which N3000.00 will amount to in 5 years at 6% per annum simple interest 
Question 6 
Express the square root of 0.000144 in the standard form 
Question 7 
Two sets are disjoints if 
Question 8 
Solve the following equations $\begin{align} & 2x+3y=7 \\ & x+5y=0 \\\end{align}$ 
Question 9 
If $\tfrac{3}{2x}\tfrac{2}{3x}=4$ Solve for x 
Question 10 
Find the coordinates of P 
Question 11 
Find the value of x when y = 0 
Question 12 
Five bottles of Fanta and two packets of biscuits cost Gh¢ 6.00. Three bottles of Fanta and four packets of biscuits cost Gh¢ 5.00. Find the cost of a bottle of Fanta. 
Question 13 
If ${{(2x+3)}^{3}}=125$, find the value of x 
Question 14 
Factorize $({{x}^{2}}2x3xy+6y)$ completely 
Question 15 
Which of the following illustrates the solution of $\left( \frac{3x+4}{2} \right)<x+3$ 
Question 16 
The diameter of a bicycle wheel is 42cm. If the wheel makes 16 completes revolutions, what will be the total distance covered by the wheels (Take$\pi =\tfrac{22}{7}$) 
Question 17 
PQRS is a trapezium. $QR\parallel PS,\text{ }\left QR \right=6cm,\text{ }\left PS \right=10cm\text{ and }\angle QPS={{42}^{\circ }}$
Calculate the perpendicular distance between the parallel between the parallel sides 
Question 18 
PQRS is a trapezium. $QR\parallel PS,\text{ }\left QR \right=6cm,\text{ }\left PS \right=10cm\text{ and }\angle QPS={{42}^{\circ }}$
Calculate; correct to the nearest cm^{2 }the area of the trapezium

Question 19 
In the diagram, $\left TP \right=12cm$ and it is 6cm from O, the centre of the circle Calculate $\angle TOP$ 
Question 20 
The interior angle of a pentagon are (2x + 5)^{o}, (x + 20)^{o}, x^{o}, (3x – 20)^{o} and (x + 15)^{o}. Find the value of x 
Question 21 
In the diagram, IG is parallel to JE, $J\overset{\wedge }{\mathop{E}}\,F={{120}^{\circ }}$ and $F\overset{\wedge }{\mathop{H}}\,G={{130}^{\circ }}$. Find the angle marked t 
Question 22 
If M and N are two fixed points in a plane , find the locus L = {P : PM = PN} 
Question 23 
Find the value of x in the diagram 
Question 24 
In the diagram $\left SQ \right=4cm,\text{ }\left PT \right=7cm\text{, }\left TR \right=5cm$ and $ST\parallel QR$ If $\left SP \right=xcm$. Find the value of x 
Question 25 
Given that $\sin {{60}^{\circ }}=\tfrac{\sqrt{3}}{2}\text{ and }\cos {{60}^{\circ }}=\tfrac{1}{2}$ evaluate $\frac{1\sin {{60}^{\circ }}}{1+\cos {{60}^{\circ }}}$ 
Question 26 
Find the bearing of X from Y

Question 27 
If $\left XY \right=50m$ how far east of X is Y? 
Questio 28 
In an examination, Kofi scored x% in Physics, 50% in Chemistry and 70% in Biology. If the mean score for the three subjects was 55%, find x 
Question 29 
What is the median of the following scores 22, 41, 35, 63, 82, 74 ? 
Question 30 
Express 2.7864 × 10^{–3} to two significant figures 
Question 31 
If ${{9}^{2x}}=\tfrac{1}{3}({{27}^{x}})$ find x 
Question 32 
If 85% of x is N3230, what is the value of x 
Question 33 
The capacity of a water tank is 1,800 litres. If the tank is in the form of a cuboid with base 600cm by 150cm, find the height of the tank 
Question 34 
An arc of a circle subtends an angle of 60^{o} at the centre. If the radius of the circle 3cm, find in terms of π, the length of the arc 
Question 35 
Solve $\frac{2x+1}{6}\frac{3x1}{4}=0$ 
Question 36 
If x is a positive integer, list the values of x which satisfy the equation $3x4<6$ and $x1>0$ 
Question 37 
If c and k are roots of $6x{{x}^{2}}=0$, find c + k 
Question 38 
In the diagram, angle 200^{o} is subtended at the centre of the circle. Find the value of x 
Question 39 
Each of the interior angle of a regular polygon is 140^{o}. Calculate the sum of all the interior angles of the polygon 
Question 40 
A bucket holds 10 litres of waters. How many buckets of water will fill a reservoir of size 8m × 7m × 5m(1 litres = 1000cm^{3}) 