# 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 100km2

Question 7

Simplify $\frac{{{3}^{n-1}}\times {{27}^{n+1}}}{{{81}^{n}}}$

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 $4\le \tfrac{1}{3}(2x-1)<5$?

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 $\frac{{{y}^{2}}-9y+18}{{{y}^{2}}+4y-21}$is undefined.

Question 12

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

Question 13

Simplify $\frac{2}{1-x}-\frac{1}{x}$

Question 14

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

Question 15

Factorize: ${{(2x+3y)}^{2}}-{{(x-4y)}^{2}}$

Question 16

The curved surface surface of a cylinder 5 cm high is 110cm2. Find the radius of its base [Take$\pi =\tfrac{22}{7}$]

Question 17

The volume of a pyramid with height 15cm is 90cm3. 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
 Age (Years) 13 14 15 16 17 Frequency 10 24 8 5 3

The table shows the age of students in a club.

How many students are in the club.

Question 29
 Age (Years) 13 14 15 16 17 Frequency 10 24 8 5 3

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 ${{\log }_{2}}(3x-1)=5$, 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