# 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 32four = 22x

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 ${{\log }_{10}}(6x-4)-{{\log }_{10}}2=1$, solve for x

Question 8

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

Question 9

If $y-2x=4$and $y-3x=-1$, find the value of $(x-y)$

Question 10

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

Question 11

Simplify$\frac{2-18{{m}^{2}}}{1+3m}$

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 385m3. 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$Question 20 The angle of a polygon are x, 2x, 2x, (x + 30o), (x +20o) and (x –10o). Find the value of x Question 21 If M and N are the points (–3, 8) and (5, –7) respectively, find MN Question 22 The equation of the line through the (4, 2) and (–8, –2) is 3y = px + q, where p and q are constants. Find the value of p Question 23 The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot on the tree is 30o. Find the height of the tree. Question 24 If$\tan x=\tfrac{4}{3}$,$0{}^\circ <x<90{}^\circ $, find the value of$\sin x-\cos x$Question 25 Given that Y is 20m on a bearing of 300o from X, how far south of Y is X? Question 26 The mean of 1, 3, 5, 7 and x is 4. Find the value of x Question 27 Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2 Question 28  Number of goals 1 2 3 4 5 6 7 Number of teams 3 1 6 6 4 2 3 The table shows the distribution of goal scored by 25 teams in a football competition. Question 29  Number of goals 1 2 3 4 5 6 7 Number of teams 3 1 6 6 4 2 3 The table shows the distribution of goal scored by 25 teams in a football competition. Question 30 In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. .What type of quadrilateral is the shaded region? Question 31 In the diagram WXYZ is a rectangle with dimension 8 cm by 6 cm. P, Q, R and S are the midpoint s of the sides of the rectangle as shown. Calculate the area of the part of the rectangle that is not shaded Question 32 The total surface area of a hemisphere is 75π cm2. Find its radius Question 33 Find the values of x which is$\frac{x-5}{x(x-1)}$undefined Question 34 Solve the equation 2x2x – 6 = 0 Question 35 Factorize completely the expression${{(x+2)}^{2}}-{{(2x+1)}^{2}}$Question 36 Find the nth term of the sequence 2×3, 4×6, 8×9, 16×12 Question 37 If 3x ≡ 4(mod 5), find the least value of x. Question 38 The solution of$x+2\ge 2x+1$is illustrated on the number line as Question 39 if p and q are two statements, under what condition would p → q be false Question 40 The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and$\left| WX \right|=\left| XY \right|=\left| YZ \right|\$, calculate the value of m