# Waecmaths

Title waecmaths question
Question 1

Express 0.0000407 correct to 2 significant figures

Question 2

If x varies inversely as y and y varies directly as z, what is the relationship between x and z

Question 3

Evaluate $\frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}$

Question 4 Fig1 and Fig 2are the addition and multiplication tables respectively in modulo 5. Use the these tables to solve the equation $(n\otimes 4)\oplus 3=0(\bmod 5)$

Question 5

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa is 4:5, what is the ratio of Tunde’s ag to Musa’s age?

Question 6

If $M=\{x:3\le x<8\}$ and $N=\{x:8<x<12\}$ , which of the following is true

I. $8\in M\cap N$

II. $8\in M\cup N$

III. $M\cap N=\varnothing$

Question 7

Given that $a=\log 7$ and $b=\log 2$ express $\log 35$ in terms of a and b

Question 8

If $x=\frac{2}{3}$ and y = – 6, evaluate $xy-\frac{y}{x}$

Question 9

Solve the equation $\frac{1}{5x}+\frac{1}{x}=3$

Question 10

A sum of N18, 100.00 was shared among 5 boys and 4 girls, with each boy taking N20.00 more than each girl. Find a boy’s share

Question 11

One factor of $7{{x}^{2}}+33x-10$ is

Question 12

Solve: $-\frac{1}{4}<\frac{3}{4}(3x-2)<\frac{1}{2}$

Question 13

Simplify: $3x-(p-x)-(r-p).$

Question 14

An arc of a circle of radius 7.5cm is 7.5cm long. Find , correct to the nearest degree , the angle which are the arc subtends at the centre of the circle  [Take$\pi =\tfrac{22}{7}$]

Question 15

Water flows out of a pipe at a rate of 40πcm3 per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds

Question 16

The dimension of a water are 13cm, 10cm, and 70cm . If it is half-filled with water. Calculate the volume of water in litres.

Question 17

If the total surface area of a solid hemisphere equal to its volume. Find the radius

Question 18

Which of the following is true  about parallelograms?

Question 19 The diagram shows a circle centre O if $\angle STR={{29}^{\circ }}$ and $\angle RST={{46}^{\circ }}$, calculate the value of $\angle STO$

Question 20 In the diagram XY is a straight line, $\angle POX=\angle POQ$ and $\angle ROY=\angle QOR$ . Find the value of $\angle POQ+\angle ROY$

Question 21 The diagram show a circle centre O, If $\angle ZYW={{33}^{\circ }}$ Find $\angle ZWX$

Question 22 In the diagram PQ and PS are tangents to the circ centre O. If $\angle PSQ=m$, $\angle SPQ=n$ and $\angle SQR={{33}^{\circ }}$.

Find the value of (m + n)

Question 23

Calculate the gradient (slope) of the line joining points (–1, 1) and (2, –2)

Question 24

If P(2, 3) and Q( 2, 5) are points on a graph, calculate the length PQ

Question 25

A bearing of 320o expressed as a compass bearing is

Question 26

Given that$\cos {{30}^{\circ }}=\sin {{60}^{\circ }}=\frac{\sqrt{3}}{2}$ and $\sin {{30}^{\circ }}=\cos {{60}^{\circ }}=\frac{1}{2}$ evaluate $\frac{\tan {{60}^{\circ }}-1}{1-\tan {{30}^{\circ }}}$

Question 27

A stationary boat is observed from a height of 100 m . If the horizontal distance between the observer and the boat is 80 m. Calculate, correct to two decimal places, the angle of depression of the boat from the point of observation

Question 28

The average age of a group of 25 girls is 10 years. If one girl aged 12 years and 4 months joins the group, find, correct to one decimal place, the new average age of the group.

Question 29 The bar chart show the statistics of the number of passes in an examination in a school from 2001 to 2004. What is the ratio of the total number of passes to the total number of failures

Question 30
 Marks 0 1 2 3 4 5 Frequency 7 4 18 12 8 11

The table gives the distribution of marks obtained by a number of pupils in a class test.

Question 31

 Marks 0 1 2 3 4 5 Frequency 7 4 18 12 8 11

The table gives the distribution of marks obtained by a number of pupils in a class test.

Question 32

In a class of 45 students, 28 students offers Chemistry and 25 offers Biology. If each students offers at least one of the two subjects. Calculate the probability that a student selected at random from the class offers Chemistry only.

Question 33

In what number base was the addition 1+ nn = 100 , where n > 0 done?

Question 34

Simplify $\sqrt{2}\left( \sqrt{6}+2\sqrt{2} \right)-2\sqrt{3}$

Question 35

Three exterior angles of a polygon are 30o, 40o and 60o . If the remaining exterior angles are 46o each. Name the polygon.

Question 36 In the diagram $NQ\parallel TS$ ,$\angle RTS={{50}^{\circ }}$ and $\angle PRT={{100}^{\circ }}$ Find the value of $\angle NPR$

Question 37

Simplify the expression $\frac{{{a}^{2}}{{b}^{4}}-{{b}^{2}}{{a}^{4}}}{ab(a+b)}$

Question 38

Find the 6th term of the sequence: $\frac{2}{3},\frac{7}{15},\frac{4}{15},\cdot \cdot \cdot$

Question 39

The diagonal of a square is 60cm. Calculate its perimeter.

Question 40

The roots of a quadratic equation are $-\frac{1}{2}$ and $\frac{2}{3}$ . Find the equation