Waecmaths
Title  waecmaths question  

Question 1 
Simplify: $\sqrt{108}+\sqrt{125}\sqrt{75}$ 

Question 2 
Evaluate ${{\left( {{64}^{\tfrac{1}{2}}}+{{125}^{\tfrac{1}{3}}} \right)}^{2}}$ 

Question 3 
Given that y varies inversely as the square of x. If x =3 when y =200. Find the equation connecting x and y 

Question 4 
Find the value of x for which 32_{four} = 22_{x} 

Question 5 
Simplify $2\tfrac{1}{4}\times 3\tfrac{1}{2}\div 4\tfrac{3}{8}$ 

Question 6 
There are 250 boys and 150 girls in a school. If 60% of the boys and 40% of the girls play football, what percentage of the school plays football? 

Question 7 
If ${{\log }_{10}}(6x4){{\log }_{10}}2=1$, solve for x 

Question 8 
If $F=\frac{9}{5}C+32$, find C when F =98.6 

Question 9 
If $y2x=4$and $y3x=1$, find the value of $(xy)$ 

Question 10 
If x : y : z = 2: 3: 4, evaluate $\frac{9x+3y}{6z2y}$ 

Question 11 
Simplify$\frac{218{{m}^{2}}}{1+3m}$ 

Question 12 
A curve is such that when y = 0, x = – 2 or x = 3. Find the equation of the curve. 

Question 13 
The volume of a cylindrical tank, 10m high is 385m^{3}. Find the diameter of the tank [Take $\pi =\tfrac{22}{7}$] 

Question 14 
The surface area of a sphere is $\tfrac{792}{7}c{{m}^{2}}$. Find, correct to the nearest whole number, its volume [Take $\pi =\tfrac{22}{7}$] 

Question 15 
A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector.[Take $\pi=\tfrac(22/7)] 

Question 16 
In the diagram, which of the following ratios is equal to $\frac{\left PN \right}{\left PQ \right}$? 

Question 17 
In the diagram, PS and RS are tangents to the circle centre O, $\angle PSR=70{}^\circ $, $\angle POR=m$and $\angle PQR=n$. Find (m + n) 

Question 18 
Find the value of t in the diagram


Question 19 
In the diagram, PR is a tangent to the circle at Q , $QT\parallel RS$, $\angle SQR=35{}^\circ $and $\angle RSQ=50{}^\circ $Find the value of $\angle QST$ 

Question 20 
The angle of a polygon are x, 2x, 2x, (x + 30^{o}), (x +20^{o}) and (x –10^{o}). Find the value of x 

Question 21 
If M and N are the points (–3, 8) and (5, –7) respectively, find MN 

Question 22 
The equation of the line through the (4, 2) and (–8, –2) is 3y = px + q, where p and q are constants. Find the value of p 

Question 23 
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot on the tree is 30^{o}. Find the height of the tree. 

Question 24 
If $\tan x=\tfrac{4}{3}$, $0{}^\circ <x<90{}^\circ $, find the value of $\sin x\cos x$ 

Question 25 
Given that Y is 20m on a bearing of 300^{o} from X, how far south of Y is X? 

Question 26 
The mean of 1, 3, 5, 7 and x is 4. Find the value of x 

Question 27 
Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2 

Question 28 
The table shows the distribution of goal scored by 25 teams in a football competition. 

Question 29 
The table shows the distribution of goal scored by 25 teams in a football competition. 

Question 30 
In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. .What type of quadrilateral is the shaded region? 

Question 31 
In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoint s of the sides of the rectangle as shown. Calculate the area of the part of the rectangle that is not shaded 

Question 32 
The total surface area of a hemisphere is 75π cm^{2}. Find its radius 

Question 33 
Find the values of x which is $\frac{x5}{x(x1)}$ undefined 

Question 34 
Solve the equation 2x^{2} – x – 6 = 0 

Question 35 
Factorize completely the expression ${{(x+2)}^{2}}{{(2x+1)}^{2}}$ 

Question 36 
Find the n^{th} term of the sequence 2×3, 4×6, 8×9, 16×12 

Question 37 
If 3x ≡ 4(mod 5), find the least value of x. 

Question 38 
The solution of $x+2\ge 2x+1$is illustrated on the number line as 

Question 39 
if p and q are two statements, under what condition would p → q be false 

Question 40 
The diagram shows a trapezium inscribed in a semicircle. If O is the midpoint of WZ and $\left WX \right=\left XY \right=\left YZ \right$, calculate the value of m 