# Waecmaths

Title waecmaths question
Question 1

Correct 0.04945 to two significant figures

Question 2

Simplify $\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}$

Question 3

Evaluate $7\tfrac{1}{2}-(2\tfrac{1}{2}+3)\div \tfrac{33}{2}$, correct to the nearest whole number

Question 4

Simplify the expression ${{\log }_{10}}18-{{\log }_{10}}2.88+{{\log }_{10}}16$

Question 5

Find the equation whose roots are 2 and $-3\tfrac{1}{2}$

Question 6

A man bought 220 mangoes at N5x and sold each f or 3x kobo and made a gain of N8. Find the value of x

Question 7

From a point P,R is 5km due west and 12km due south. Find the distance between P and R

Question 8

A fair die is tossed once, what is the probability of obtaining neither 5 nor 2

Question 9 In the diagram $KL\parallel MN,\angle NMP={{30}^{\circ }}$ and $\angle NMP={{45}^{\circ }}$ find the size of the reflex $\angle KPM$

Question 10 In the diagram, PR is a diameter, $\angle PRQ={{(3x-8)}^{\circ }}$and$\angle RPQ={{(2y-7)}^{\circ }}$. Express x in terms of y

Question 11

Convert 101101two to a number in base ten

Question 12

Solve the equation ${{2}^{7}}={{8}^{5-x}}$

Question 13

Expand $(2x-3y)(x-5y)$

Question 14

Make f  the subject of the relation $v=u+ft$

Question 15

The probability that John and James passes an examination are $\tfrac{3}{4}$ and $\tfrac{3}{5}$ respectively. Find the probability of both boys failing the examination.

Question 16 In the diagram, PQ and MN are straight lines. Find the value of x

Question 17 In the diagram, PQRS is a parallelogram and $\angle QRT={{30}^{\circ }}$. Find x .

Question 18

From a point R 300m north of P, a man walks eastwards to a place Q which is 600, from P. Find the bearing of P from Q correct to the nearest degree.

Question 19

The lengths of the adjacent sides of a right-angled triangle are xcm, (x – 1)cm. If the length of the hypotenuse is $\sqrt{13}cm$ find the value of x

Question 20

What is the diameter of a circle of area 77cm2 (take $\pi =\tfrac{22}{7}$ )

Question 21

Solve for y in the equations

$2x-3y=22$

$3x+2y=7$

Question 22

Solve the equation $\frac{2y-1}{3}-\frac{3y-1}{4}=1$

Question 23 In the diagram O is the centre of the circle, $\angle MON={{80}^{\circ }}$ $\angle LMO={{10}^{\circ }}$ and $\angle LNO={{15}^{{}^\circ }}$.Calculate the value of x

Question 24

If ${{\log }_{9}}x=1.5$ find x

Question 25

A sequence is given 2 ½ , 5, 7½….. if the nth term is 25. Find n

Question 26

Given that one of the roots of the equation $2{{x}^{2}}+(k+2)x+k=0$ is 2. Find the value of k

Question 27 The figure shows a quadrilateral PQRS having equal sizes and opposites sides parallel. The diagonal PR  and OS intersected perpendicularly at O, which of the following statements cannot be correct

Question 28

Find the mean of the numbers 1, 3, 4, 8, 8, 4 and 7

Question 29

What is the total surface area of a closed cylinder of height 10cm and diameter 7cm (Take $\pi =\tfrac{22}{7}$)

Question 30

An arc of a circle of radius 14cm subtends angle 300o at the centre. Find the perimeter of the sector formed by the arc (Take$\pi =\tfrac{22}{7}$)

Question 31
Question 32
Question 33

Which of the following statement describes the locus of a point R which moves in a plane such that it is equidistant from two intersecting lines?

Question 34

P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subsets of the universal set  ξ = {1, 3, 7, 9, 11, 13, 15}. Find $P'\cap Q'$

Question 35

A train moving at uniform speed, covers 36km in 21 minutes. How long does it take to cover 60km

Question 36

The salary of a man was increased in the ratio 40: 47. Calculate the percentage increase in the salary

Question 37

A regular polygon has 9 sides. What is the size of one of the its exterior angles?

Question 38

Simplify $\frac{2}{3xy}-\frac{3}{4yz}$

Question 39

The total surface area of the walls of a room, 7m long, 5m wide and xm high is 96m2. Find the value of x

Question 40