Waecmaths
Title  waecmaths question  

Question 1 
If ${{23}_{x}}+{{101}_{x}}={{130}_{x}}$Find the value of x 

Question 2 
Simplify $(\tfrac{3}{4}\tfrac{2}{3})\times 1\tfrac{1}{5}$ 

Question 3 
Simplify $\left( \frac{10\sqrt{3}}{\sqrt{5}}\sqrt{15} \right)$ 

Question 4 
The distance, d, through which a stone falls from rest varies directly as the square of the square of the time, t, taken. If the stone falls 45 cm in 3 seconds, how far will it fall in 6 seconds. 

Question 5 
Which of the following is a valid conclusion from the premise “Nigerian footballers are good footballers” 

Question 6 
On a map, 1cm represent 5 km. Find the area on the map that represents 100km^{2} 

Question 7 
Simplify $\frac{{{3}^{n1}}\times {{27}^{n+1}}}{{{81}^{n}}}$ 

Question 8 
What sum of money will amount to D10, 400 in 5years at 6% simple interest? 

Question 9 
Which of the following number lines illustrates the solution of the inequality $4\le \tfrac{1}{3}(2x1)<5$? 

Question 10 
The roots of a quadratic equation are$\tfrac{4}{3}$and $\tfrac{3}{7}$. Find the equation. 

Question 11 
Find the value of y for which the expression $\frac{{{y}^{2}}9y+18}{{{y}^{2}}+4y21}$is undefined. 

Question 12 
Given that $2x+y=7$and $3x2y=3$, by now much is 7x greater than 10 

Question 13 
Simplify $\frac{2}{1x}\frac{1}{x}$ 

Question 14 
Make s the subject of the relation: $p=s+\frac{s{{m}^{2}}}{nr}$ 

Question 15 
Factorize: ${{(2x+3y)}^{2}}{{(x4y)}^{2}}$ 

Question 16 
The curved surface surface of a cylinder 5 cm high is 110cm^{2}. Find the radius of its base [Take$\pi =\tfrac{22}{7}$] 

Question 17 
The volume of a pyramid with height 15cm is 90cm^{3}. If its base is a rectangle with dimensions xcm by 6cm, find the value of x 

Question 18 
In the diagram $\overline{YW}$is a tangent to the circle at X, $\left UV \right=\left VX \right$and $\angle VXW={{50}^{\circ }}$, find the value of $\angle UXY$ 

Question 19 
In the diagram $\overline{PE},\text{ }\overline{QT},\text{ }\overline{RG}$ intersect at S and $PQ\parallel RG$. If \[\angle SPQ={{113}^{\circ }}\]and \[\angle RST={{22}^{\circ }}\], find \[\angle SPQ={{113}^{\circ }}\]\[\angle PS{{Q}^{\circ }}\] 

Question 20 
In the diagram, O is the centre of the circle \[\angle XOZ={{(10m)}^{\circ }}\] and \[\angle XWZ={{m}^{\circ }}\]calculate the value of m 

Question 21 
Kweku walked 8m up a slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be? 

Question 22 
In the diagram, TS is a tangent to the circle at S . $\left PR \right=\left RS \right$ and $\angle PQR={{117}^{\circ }}$. Calculate $\angle PST$ 

Question 22 
In the diagram, TS is a tangent to the circle at S . $\left PR \right=\left RS \right$ and $\angle PQR={{117}^{\circ }}$. Calculate $\angle PST$ 

Question 23 
In the diagram $PR\parallel SV\parallel WY,\text{ }TX\parallel QY,\text{ }\angle TXW={{60}^{\circ }}$ find $\angle TQU$


Question 24 
A straight line passes through the points P(1, 2) and Q(5, 8). Calculate the gradient of the line PQ 

Question 25 
A straight line passes through the points P(1, 2) and Q(5, 8), Calculate the length PQ 

Question 26 
In the diagram TX is perpendicular to UW, $\left UX \right=1cm$and $\left TX \right=\left WX \right=\sqrt{3}cm$ Find $\angle UTW$ 

Question 27 
If $\cos \theta =x$and $\sin {{60}^{\circ }}=x+0.5$ ${{0}^{\circ }}<\theta <{{90}^{\circ }}$find correct to the nearest degree, the value of θ 

Question 28 
The table shows the age of students in a club. How many students are in the club. 

Question 29 
The table shows the age of students in a club Find the median age. 

Question 30 
The figure is a pie chart which represents the expenditures of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food? 

Question 31 
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10? 

Question 32 
The marks of eight students in a test are: 10, 4, 5, 14, 13, 16 and 17. Find the range. 

Question 33 
If ${{\log }_{2}}(3x1)=5$, find x 

Question 34 
A sphere of radius r cm has the same volume as the cylinder of radius 3cm and height 4cm. Find the value of r 

Question 35 
Express 1975 correct to 2 significant figures 

Question 36 
In the diagram, MOPQ is a trapezium with $QP\parallel MO,$$MQ\parallel NP$$NQ\parallel OP$. $\left OP \right=9cm$and the height of $\vartriangle QNP=6cm$. Calculate the area of the trapezium 

Question 37 
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector. Take [$\pi=\tfrac {22}{7}$ ]. 

Question 38 
Detemine $M'\cap N$from the Venn diagram 

Question 39 
If 20(mod 9) is equivalent to y(mod 6), find y 