# Waecmaths

Title waecmaths question
Question 1

If $\{x:2\le x\le 18;x\in integer\}$and 7 + x = 4(mod 9). Find the highest value of x

Question 2

The sum of 110112, 111112 and 100002 is 10m10n02, find  the value of m and n

Question 3

A trader bought an engine for 15,000dollars outside Nigeria. If the exchange rate is 0.075dollars to N1.00, how much did the engine cost in naira?

Question 4

If $\frac{{{27}^{x}}\times {{3}^{1-x}}}{{{9}^{2x}}}=1$, find the value of x

Question 5

Find the 7th term of the sequence 2, 5, 10, 17, 26, _, _, _

Question 6

Given that ${{\log }_{x}}64=3$, evaluate $x{{\log }_{2}}8$

Question 7

If 2x = y, find ${{2}^{(2+\tfrac{x}{3})}}$

Question 8

Factorize completely $6ax-12by-9ay+8bx$

Question 9

Find the equation whose roots are ¾ and –4

Question 10

If m =4, n =9 and r =16, evaluate $\tfrac{m}{n}-1\tfrac{7}{9}+\tfrac{n}{r}$

Question 11

Adding 42 to a given positive number gives the same result as squaring the number. Find the number.

Question 12

Ada draws a graph of $y={{x}^{2}}-x-2$and $y=2x-1$on the same axes. Which of the these equations is she solving

Question 13

The volume of a cone of height 3cm is $38\tfrac{1}{2}$cm2. Find the radius of its base [Take $\pi =\tfrac{22}{7}$]

Question 14

A sector of a circle with radius 6cm subtends an angle of 60o at the centre. Calculate its perimeter in terms of π

Question 15

The dimensions of a rectangular tanks are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tanks of height 4cm. Calculate the base radius of the cylindrical tank [Take $\pi =\tfrac{22}{7}$]

Question 16 In the diagram, O is the centre of the circle If PQ $PQ\parallel RS$and $\angle ONS={{140}^{\circ }}$find the size of $\angle POM$

Question 17 In the diagram, PTR is a tangent to the circle centre O, if the angle TON  = 108o. Calculate the size of angle PTN

Question 18

In the diagram, $PQ\parallel RT$, $QR\parallel SU$, $\angle PQR={{48}^{\circ }}$AND find the value of x

Question 19 In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

19. Calculate the value of angle PTR

Question 20 In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

Question 21

The table below shows the values for a linear graph

 x 0 1 ¼ 2 4 y 3 5 ½

Use it to answer question 21 and 22.

21. Find the gradient of the line

Question 22

The table below shows the values for a linear graph

 x 0 1 ¼ 2 4 y 3 5 ½
Question 23

Given that  $\tan x=\tfrac{2}{3}$, where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$, find the value of $2\sin x$

Question 24

PQRS is a square. If X is the midpoint of PQ, Calculate correct to the nearest degree, $\angle PXS$

Question 25

The angle of elevation of an aircraft from a point K on the horizontal ground is 30o. If the aircraft is 800m above the ground. How far is it from K?

Question 26

The population of students in a schools is 810. If this is represented on a pie chart. Calculate the sectoral angle for a class of 72 students.

Question 27

The scores of twenty students in a test are as follows 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 61, 63, 65, 67, 70, 73, 75. Find the third quartile

Question 28
 Scores 0 – 4 5 – 9 10 – 14 Frequenct 2 1 2

The table shows the distribution of the scores of some students in a test. Calculate the mean score.

Question 29

The probabilities that kebba, Ebou, and Omar will hit a target are $\tfrac{2}{3},\tfrac{3}{4}$and $\tfrac{4}{5}$ respectively. Find the probability that only Kebba will hit target

Question 30 In the diagram, $UW\parallel YZ$, $\left| WX \right|=6cm$, $\left| XY \right|=16cm$, and $\left| ZX \right|=12cm$. Calculate $\left| VX \right|$

Question 31

Tom will be 25 years old in n years time. If he is 5 years younger than Bade, Find Bade’s present age.

Question 32

If $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{3}}$is simplified as $m+n\sqrt{6}$, find the value of (m + n)

Question 33 In the diagram, $\overline{OT}$and $\overline{PR}$ are straight lines $\angle ROS=(3n-{{20}^{\circ }}),$$\angle POT=2m, \angle SOT=n$$\angle POL=m$ and $\angle QOL$is a right angle. Find the value of n

Question 34

Make k the subject of the relation $T=\sqrt{\frac{Tk-H}{k-H}}$

Question 35

Which of the following is used to determine the mode of a grouped data?

Question 36

The area of a rhombus is 110cm2. If the diagonal are 20cm and (2x +1)cm long. Find the value of x

Question 37

Simplify $\frac{3x-y}{xy}-\frac{2x+3y}{2xy}+\frac{1}{2}$

Question 38

Illustrate graphically, the solution of $\frac{y}{2}+\frac{1}{8}>\frac{5y}{8}$

Question 39

A farmer uses $\frac{2}{5}$of his land to grow cassava, $\frac{1}{3}$of the remainder for yam and the rest for maize. Find the part of the land used for maize

Question 40

The rate of consumption of petrol  by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km, how far would the vehicle go on 9 litres of petrol