# Waecmaths

Title waecmaths question
Question 1

Evaluate  ${{({{111}_{two}})}^{2}}$ and leave your answer in base 2

Question 2

\begin{align} &\text {Find the LCM of} \\ & {{2}^{3}}\times 3\times {{5}^{2}} \\ & 2\times {{3}^{2}}\times 5 \\ & {{2}^{2}}\times {{3}^{3}}\times 5 \\\end{align}

Question 3

Simplify $(0.3\times {{10}^{5}})\div (0.4\times {{10}^{7}})$ leaving your answer in the standard form

Question 4

If $p\propto \frac{1}{q}$  which of the following is true

Question 5

Simplify $3\sqrt{45}-12\sqrt{5}+16\sqrt{20}$ leaving your answer in surd form

Question 6

Which of the following statements is true for the set $P=\{-3.2\le x<5\}$ where x is an integer?

Question 7

Simplify $\frac{3{{x}^{3}}}{{{(3x)}^{3}}}$

Question 8

N140.00 is shared between Abu, Kayode  and Uche. Abu has twice as much as kayoed and Kayode as twice as much as Uche. What is kayode’s share?

Question 9

I am x years old and my brother is 3 years older. How old was my brother last year

Question 10

For what value of x is the expression $\frac{2x-1}{x+3}$ not defined?

Question 11

If x = 3, y = 2 and z = 4. What is the value of $3{{x}^{2}}-2y+z$

Question 12

Solve the simultaneous equations\begin{align} & x+y=2 \\ & 3x-2y=1 \\\end{align}

Question 13

If ${{8}^{x+1}}=\frac{1}{4}$ fins x

Question 14

The area of a square field is 110.25m. Find the cost of fencing it round as N75.00 per metre

Question 15

A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle

Question 16

A sector of a circle of radius 14cm containing an angle of 60o is folded to form a cone. Calculate the radius of the base of the cone

Question 17

In the diagram $\left| LN \right|=4cm,\angle LNM={{90}^{\circ }}$ and $\tan y=\tfrac{2}{3}$What is the area of $\triangle LMN$

Question 18

Find the volume of a solid cylinder with base radius 10cm and height 14cm (take $\pi =\tfrac{22}{7}$)

Question 19

From the diagram, find the value of x

Question 20

Find the value of x in the diagram

Question 21

Each interior angle of a regular polygon is 162o. How many sides has the polygon?

Question 22

From the diagram, find the value of x

Question 23

In the diagram $\left| SP \right|=\left| SR \right|$ and $\angle PRS={{50}^{\circ }}$ Calculate $\angle PQR$

Question 24

In the diagram, O is the centre of the circle and $\angle PQR={{106}^{\circ }}$ .Find the value of y

Question 25

In a $\Delta PQR,\text{ }\angle PQR=\angle PRQ={{45}^{\circ }}$ which of the following statement is correct?

I. $\triangle PQR$is an equilateral triangle

II. $\triangle PQR$ is an isosceles triangle

III. $\triangle PQR$ is a right angled triangle

Question 26

The table gives the distribution  of the marks of a number of students in a test

 Marks 1 2 3 4 5 6 Frequency 5 3 6 4 2 5

Find the mode of the distribution

Question 27

If the probability of an event occurring is x, what is the probability of the event not occurring?

Question 28
 Ages 1 2 3 4 5 Number of Children 2 3 5 6 4

The table shows the ages (in years) of twenty children chosen at random from a community

What is the mean age?

Question 29
 Ages 1 2 3 4 5 Number of Children 2 3 5 6 4

The table shows the ages (in years) of twenty children chosen at random from a community

What is the median of the distribution?

Question 30

Q is 32km away from P on a bearing of 042o and R is 25km from P on a bearing of 132o. Calculate the bearing of R from Q

Question 31

In the diagram$\left| PQ \right|=4cm$, $\left| QR \right|=6cm,\text{ }\left| RS \right|=12cm$ $\angle QRS={{90}^{\circ }}$. Find the value of x

Question 33

The bearing of a point P from another point Q is 310o. If $\left| PQ \right|=200M$ how far east of Q is P?

Question 34

Find the value of a if ${{\log }_{10}}a+{{\log }_{10}}{{a}^{2}}=0.9030$

Question 35

A messenger was paid N2.50  an hour during the normal working hours and N4.00 an hour during overtime. If he received N31.00 for 10 hours works, how many hours are for the overtime?

Question 36

At what rate percent  will N520.00 yield a simple interest of N39.00 in three years

Question 37

If the ratio  x : y = 3 : 5 and y : z = 4 : 7, find the ratio x: y : z

Question 38

The Venn diagram shows the choice of food of a number of visitors to a canteenthere were 35 visitors in all, find the value of x

Question 39

The Venn diagram shows the choice of food of a number of visitors to a canteen. How many people took at least two kinds of food?

Question 40

$\triangle PQR$ is a equilateral triangle with sides $2\sqrt{3}cm$ calculate its height

Question 41

Which of the following is a factor of $2-x-{{x}^{2}}$