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

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