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General Discussion / Waec:-:-2014/2015 100% real physics ansa available here?

« Last post by examRuns on April 30, 2014, 09:23:03 am »

No 1
(VII)
S/N: 1,2,3,4,5
D: 140,120,100,80,60
T (second): 4.8,4.1,3.3,2.6,1.9
W: 29.17,29.26,30.3,30.76,31.58
V: 58.33,58.53,60.6,61.52,63.15
(3)
I=0.35A
PLS DRAW A TABLE.
i: 1,2,3,4,5
Xi(cm): 20.0,35.0,45.0,60.0,80.0
x^-1: 0.0500,0.0285,0.0222,0.0167,0.0125
I(A) : 1.50,1.45,1.35,1.30,1.25.
=======
NOTE: ^ means raise to power.
i: means that under i, u will get 1,2,3,4,5..
========
3xi.
1. i ensured that the key is not closed when no reading are not taken.
2. i ensured the circuit parameters are tightly connected to ensure accurate result.
3. i ensured that the jockey touches the exact point on the potentiometer wire.
3bi.
Emf of a battery is the potential difference between the terminals of a cell when no current flows in the circult.
3bii.
(3bii)
Given,
Vx=1.018V
Lx= 50.0cm
Vy=?
Ly=75.0cm
Vx/Lx = Vy/Ly
1.018/50 = Vy/75
Vy= (1.018 * 75)/50
Vy= 1.527V

General Discussion / NOTE:-:-<WHY STUDENT FAIL BY ADMIN,VIEWS>

« Last post by examRuns on April 30, 2014, 09:19:43 am »

29 Apr 2014
WHY STUDENTS FAIL
Have you ever wondered how you failed your exams(waec/neco/nabteb)?
Do you think you got fake runz?
Answer;
(1) Most of the students dont have anything in their brain, all they know is facebook,2go. twitter, play games etc.
even if you pass your exam eventually, how do you tink you can cope in theuniversity or polytechnic
without knowing something.
(2) As a standard, astudent is expected to know 60-80% of the entire syllabus.
how many can you topics can you boast of
(3) Most students are not serious. imagine the following:
most student will just write it the way they see it
tabulate
X:1,2,3
Y:3,5,7
instead of interpreting it asother examples
tita-?
pie-?
sqr rut- ?
So how do you want to pass if you can interpret our symbols correctly.
(4)Bad center/ black listed center:
some of you dont make research on the center you are writing exams, you just register anywhere you and when you fail you want to push the blame on someone else. What you dont know is that some center result have been bad since 3years ago.
(5) Student caught in the exam hall:
Once a student is caugth cheating or involved in any malpractice, such a student sthould neverd expect his/her results.
(6) Cheap/fake runz
Alot of website are out there gving free or fake runz. imagine such a site not considering the results of students, compose fake answer or give the students fake runz. Most of the fault goes to students risking their own exams for cheap runz.
(7)Waiting to get free runz when we post it:
Normally, we do post answer late on the site for those that can pay for the runz,
obj posted 5mins to the end,
theory posted 20mins to the end.
Tell me how do you want to pass by waiting for free answers when those that paid for the runz has finished, you are just starting.
What you dont know is that nothing is free, even in freetown. Learn how to pay for what you need most. Be wise and try harder to pass

General Discussion / Waec;>2014/2015 100% real practical physics available here?

« Last post by examRuns on April 30, 2014, 09:01:10 am »

General Discussion / WAEC:->2014/2015100% real english obj & essay available here?

« Last post by examRuns on April 30, 2014, 08:48:50 am »

Veridied ORAL ENGLISH
1DCCDCBBAAD.
11ABADCBDCCC.
21CCCDCDCDBC.
31DBBADBBCBA.
41DDAADBBDDB.
51DBABBCACBB.Verified ENG obj
1-10 DADDCCBBAB
11-20 ACBACBACCB
21-30 CCBBDDACBB
31-40 ADBADACCAA
41-50 DCDCCAAADA
51-60 ACBCABDAAC
61-70 CCBDBAAACC
71-80 DCCBADDBDA
Q6
6(a) the event took place thirty-eight years ago.
6b(i) he endured all jokes cheerfully.
6b(ii) he uses his left hand to write.
6c. he was not considered for secondary school admission.
6d. the writer believed that he was dropped out school.
6e.he happens to be one of the best cardiologist
6f. he can never believe it that David Akide could be educated.
6g(i) Adverbial clause.
6g(ii) it modifies the verb " saw"
6Hi. Metaphor
6Hii. to gain admission into university and come out successfully.
6(I) i. pleasntly ii. amiable iii. thought iv. profession. v. accomplishment.7ai the rich and privileged could
afford the deskstop telephone.
ii the processes involved in getting
the deskstp telephn are very
complex
iii.the desksp teleph can b affected by climatic factors.
7bi the handset teleph is very easy to
carry about ii the handset
telephone is less costly than the
deskstop telephn iii the deskstop
telephone could b affected by
climatic factors.
6g(i) Adverbial clause.
6g(ii) it modifies the verb " saw"
6Hi. Metaphor
6Hii. to gain admission into university and come out successfully.
6(I) i. pleasntly ii. amiable iii. thought iv. profession. v. accomplishment. ANSWER QUESTION 3 Letter to the
Minister of
Education write your
Address, Address of Adressie
then salute Dear sir here is the
body of the latter Firstly, rising
teacher's social status is a
more
convincing way than
increasing the salary. Because
nowadays the
teachers are not short of
salary, they are actually lacking of
the social values.
If people treats them not just
being teachers, moreover, as
honorable educators to
respect, that would have a better
effect than just
rising their incomes. If
people respect the teacher, that
means people
consider the education as a more
important business, which is
the teacher's
really demanded.
Therefore, increasing the
teacher's social
values,which is a satisfication
spiritually, would play a more
significant role than
just adding their salaries.
Furthermore, improving the
"hardware" of school is
another one of the
best ways to solve the problem.
Students do not
only acquire
knowledge from their teachers
and textbooks. They could learn
from
the curious things all the time so
that the hardware
is gradually play as
a key. "hardware" means the
equipment of school
such as Gym center,
swimming pool, Chemistry labs,
etc, which students could
acquire
education practically. I think
those are the high-
quality educations
because students actually
sdtruggle or fight for the
answers. According
to the labs or the swim practices,
students can truly learnt
from them.
For example, I used to feel hard
to remember all
sorts of the principles
of the chemical reactions,
indicating that they are
difficult to keep in
memory. However, after I did the
labs, the reactions were even
hard for
me to forget because I really saw
how the reactions
happened and truly
learnt from those labs. So with
the better hardware
in school, the higher
quality the education will be.
Therefore, I am firmly conviced
that there are
certainly several ways to
increase the education quality
more efficiently than
increase the
teacher's income, such as
increasing their social
attention or spending money on
the school equipments. your
faithfully
sign (5a). The two reasons why the
little boys has to control
themselves are -to avoid being
hopless and useless in the
society. -to enforce the rule to
avoid any delay in the healing of
their wounds. (5b)i. the two
responsibilities of the healer are -
cleaning of the wounds -
pronounciation of healing
incantations (5b)ii. The way in
which the impostor be exposed
is by using phrases with refrains
that had to be whistled in a
certain way (5c) -to be absolutely
straight forward. -to fulfil their
duitestowards God, parents and
neighbours (5d)not to reveal any
of the secret rites of
circumcision. (5e). They act as a
scout because some women be
found walking in their direction
they could warn (5f)(i)adverbial
clause (ii)it modifies the verb
tone.
10 minutes ago 0‡1„1¤70Š70†70†50‡10…40‡00†70‡00†50‡1„1¤70‡00…40‡1„1¤70‡00†70‡1„1¤70‡00†50‡1„1¤70Š70†70†50‡10…40‡00†70‡00†50‡1„1¤70Š70†70†50‡1„1¤70‡0¡¤ Sent from
Mobile
Edoboi Dwapboi Darlingto

General Discussion / 2014/2015 PRACTICAL BIOLOGY ANSWERS AVAILABLE HERE

« Last post by examRuns on April 30, 2014, 07:50:22 am »

4ai.
Specimen L ------- Terrestial habitat
Specimen M ------ Terrestial habitat
Specimen N ------- Terrestial habitat
II.
Specimen L --------- Photosynthesis/ autotrophic.
Specimen M -------- Bitting and chewing / heterotrophic
Specimen N -------- Saprophytic
iii.
Specimen L ----- They are green plants therefore they are able to produce thier own food through photosynthesis.
Specimen M ----- They have maxilla and mandibles that are adapted to bite and chew grasses.
4bi.
They all lives in the same habitat and they depend on each other to survive.
Frestly uprooted grass ----- grasshopper -------- Mushroom
ii. sources of food for man.
reduction of crop yeilds.
iii. Using of insecticides.
(2ai)
Specimen E belong to Mammalis
Specimen F belongs to Aves
(2aii)
Four features of Specimen E
- Their bodies are covered with hairs
-They have two pair of limbs
-They have deifferent sets of teeth
-Their bodies are bilaterally symmetrical
Four features of Specimen F
-They have wings which are used for flight
-They have two pairs of limbs
-Their bodies are covered with feather's except the hind legs which are covered with scales
- They have beak which is used for feeding
(2aii)
Four features of Specimen E
- Their bodies are covered with hairs
-They have two pair of limbs
-They have deifferent sets of teeth
-Their bodies are bilaterally symmetrical
Four features of Specimen F
-They have wings which are used for flight
-They have two pairs of limbs
-Their bodies are covered with feather's except the hind legs which are covered with scales
- They have beak which is used for feeding
(2aiii)
Specimen E
- The hairs in their body helps them for homostatics
-The limbs helps them to survive in their habitat
-The teeth helps in feeding
Specimen F
-The wings are used for flight
-The beak are used for flight
-The scales are used to control temperature
(1ai)Specimen A
Division --> Angiosperm
Class-->Monocotyledon
(1aii)
- They have fibrons roof System
-Their leaves have veins running paarallel to another
-The vasxular bundles of the stem are scattered
(1b)
i. They are both monocotyledons
ii.they are both monocotyledons
iii.They belong to the same division
(1ci)
i. A is young maiZe plant
ii. Wind
iii.
- Large quantity of pollen grouns are produced
- Anthers are attached to the flower in such a way that they readily swing in the air
(1d) D is seed
it is a monocotyledonous plant seed it originate from from the ovule of te female flower/ovary.
The seed ia made up of an outer testa and a inner tegmen, the seed has only one cotyledon and the embryo consist of a plumule and the radicle

General Discussion / Site News,breakin News;Boko haram kills several students going to write jamb[ph]

« Last post by examRuns on April 29, 2014, 03:36:25 am »

Views:Sat 12 Apr 2014
What is wrong with Boko Haram and their sponsors: why are they making human life worthless?
As you read this, scores of students travelling to write JAMB exam in Borno State have been reportedly killed by the dreaded Boko Haram sect. They were among several persons that lost their lives in multiple attacks that were unleashed by the sect in four communities.
A senator from the area said:¡±What happened in Borno was beyond understanding. It is a must for me to speak since the people lives are involved and they are my people. All these are happening in my constituency and it will be wrong to keep quiet. I feel so much pained and would not have spoken but definitely my conscience will not let me do that.¡±
The Senator who is representing Borno Central in the Senate, Zannah Ahmed, on Friday accused the military of complicity in the latest attack where he said that 210 people were killed in attacks on four towns.
The towns included Dikwa, Kala Balge, Gambulga and Gwoza.
The senator claimed that the attackers were all dressed in military uniforms and spoke English language. This was a departure from the Hausa and Kanuri language spoken by the Boko Haram insurgents.
He even lamented that authorities of the military post in Gamboru, which purportedly received a distressed call from the people of Kala Balge avoided the town, claiming that it was not in its area of command.
But what is really going on? Is this Boko Haram or some powerful people just trying to reduce population

General Discussion / WAEC 2014/2015 BIOLOGY EXPECTED PRACTICAL SOLUTION

« Last post by examRuns on April 28, 2014, 06:03:40 am »

WAEC 2014/2015 BIOLOGY EXPECTED PRACTICAL SOLUTION
PLS NOTE THAT THESE ARE NOT THE REAL BIOLOGY PRACTICAL ANSWERS BUT IS JUST A GUIDE TO BIOLOGY PRACTICAL.
IT WILL HELP YOU TO STUDY YOUR BIOLOGY PRACTICAL. THEY ARE ASSUMED OR LIKELY QUESTIONS AND ANSWERS.and Exam Runz is ready to help those that subscribe.TO SUBSCRIBE CALL==>08135784898
SPECIMEN A: YOUNG MAIZE PLANT
SOIL REQUIREMENT: well drained loam and silt loam with fine tilth.
METHOD OF PROPAGATION: It is propagated by seed
planted manually, mechanically
VARIETIES/TYPES: dent,flint,sweet,flour,pop corn
CLIMATIC REQUIRMENT: (20degreec-30degreec)
RAINFALL OF 760mm- 1520mm per annum is used.
==============
SPECIMEN B:MALE FLOWERS OF MAIZE PLANT
It's also called:"TASSEL",is failrly compact and much branched. the main axis carries spikelets and these
consist of one SESSILE and PEDICEL.
each flower is composed of an oval,concave lemma enclosing a membranous palea with the three stamens and two lodicules. when the flower matures, the anthers are exposed. the anthers may be purple,pink or yellow.
===============
SPECIMEN C: FEMALE FLOWERS OF MAIZE PLANT
It's also known as the COB or EAR. Is has a modified lateral branch derived from an auxilliary bud of the main stem. the husk of the female inflorescence is formed from modified leaves and
this gives protection to the flowers and the developing seeds. the ovary is surmounted by a long style, the silk of which emerges from the top of
the husk. pollination is by means of wind and
gravity,the grains are more pointed at the end where it is attached to the cob. they are made up of
ovary, style and stigma.
=============
SPECIMEN D: MAIZE GRAIN
BOTANICAL NAME:ZEA MAYS
AGRICULTURAL CLASSIFICATION:CEREALS/GRAIN CROP
PEST THAT ATTACK IT: Maize weevils and borers USES OF SPECIMEN D
IT IS USED TO FEED LIVESTOCKS
IT CAN BE EATEN WHEN BOILED
IT CAN BE PROCESSED INTO PALP
IT CAN BE FRIED INTO POP-CORN
IT CAN BE PLANTED AGAIN WHEN DRIED. WAYS OF CONTROLLING PEST THAT ATTACKS
SPECIMEN D
EXCLUSION METHOD/FUMIGANT
IRRADATION
CHEMICAL DUSTING/SEED DRESSING
PHYSICAL CONTROL DEEP FREEZING/RE FREGRATION DISADVANTAGES OF THE CONTROL MEASURE
AIR POLLUTION
FOOD POISONING
REDUCE VIABILITY DISEASES OF MAIZE
MAIZE RUST
LEAF BLITH
MAIZE STREA
MAIZE SMUT
LEAF SPOT CLASSIFICATION OF MAIZE PLANT
KINGDON:PLANTAE
PHYLUM:DIVISION(PLA NT)
ORDER:POALES
FAMILY:POACEAE
SUB FAMILY:PANI COIDEAE TRIBE:ANDROPOGONEAE
GENUS:ZEA
SPERMATOPHHYTA:AN GLOSPERM DIFFERENCES BETWEEN SPECIMEN B&C
UNDER SPECIMEN B:
IT HAS A MATURE MAIZE FLOWER CALLED (TASSEL)
TASSEL IS FAIRLY COMPACT AND MUCH BRANCHED
THE ANTHERS MAY BE PURPLE,PINK OR YELLOW
MAIZE POLLEN(ANEMOPHILOUS) ARE DISPERSED BY WIND UNDER SPECIMEN C:
IT HAS A MATURE MAIZE FLOWER CALLED (EAR OR
COB)
IT COB HAS A MODIFIED LATERAL BRANCH
THE EARS IN MAIZE FLOWER(WHITE,GREEN,RED AND
YELLOW) POLLINATION IS BY MEANS OF WIND AND GRAVITY.
=====================
MAIZE GRAIN: IS A MONOCOTYLEDONOUS AND
ENDOSPERMIC SEED. IT IS TRIANGULAR IN SHAPE.
=====================
SPECIMMEN E: GUINEA RAT(FRESHLY WET PRESERVED) CHARACTERISTICSOF MAMMALS:
THEY ARE HOMOIOTHERMIC OR WARM BLOODED
THEIR BODIES ARE COVERED WITH HAIRS
THEY HAVE HETERODONT DENTITION
THEIR INTERNAL CARVITY IS DIVIDED INTO CHE
AND ABDOMEN BY A MUSCULAR DIAGHRAGM THEY HAVE LUNGS WHICH ARE USED FOR GASEOUS
EXCHANGE
THEY HAVE TWO PAIRS OF LIMBS
THE SKIN CONTAINS GLANDS E.G (SWEAT,SEBAOEOUS
AND MOMMARY GLANDS)
PRODUCTION IS SEXUAL AND FERTILIZATION IS INTERNAL
THEY HAVE VIVIPAROUS MODE OF REPRODUCTION
THEY HAVE A FOUR-CHAMBERED HEART
THEY HAVE EXTERNAL EARS CALLED PINNAE
=====================
LEVELS OF ORGANISATION OF LIFE FIRST LEVEL:CELLS
SECOND LEVEL:TISSUE
THIRD LEVEL:ORGANS
FOURTH LEVEL:SYSTEM
================ =====
THE CLASSIFICATION OF MAMMALS KINGDOM:ANIMALIA
PHYLUM:CHORDATA
CLASS:MAMMALIA
ORDER:
================ =====
SPECIMEN F(DOMESTIC FOWL) SPACIMEN F (DOMESTIC FOWL)IS A POULTRY ANIMAL. IN POULTRY MANAGEMENT: WE HAVE:
INTENSIVE SYSTEM
SEMI-INTENSIVE
EXTENSIVE SYSTEM -FEEDIND: THEY HAVE SIMPLE STOMACH WITHOUT
TEETH,THEY FEED CONSTANTLY i.e EVERYTIME AND
ANYTIME OF THE DAY. THEIR FEED MAY BE RICH IN
PROTEIN,VITAMINS AND MINERAL SALTS.
THERE MUST BE REGULAR SUPPLY OF CLEAN WATER HYGIENE IN POULTRY
USE OF DISINFECTANT AND INSECT REPELL
BURN AND BURY DEAD BIRDS
REGULAR CLEANING OF THE FEEDING AND
WATERING TROUGHS
REMOVE ALL WET LITTER FROM THE FLOOR VACCINATE THE HEN AGAINST DISEASES LIKE-
NEWCASTLE, FOWLBOX AND GUMBOX
PARASITES (BOTH INTERNAL AND EXTERNAL MUST
BE CONTROLLED
CONSULT VETENNARY EXPERT ON HYGIENE PROBLEM
===================== SPECIMEN G: MUD WASP
CLASSIFICATION OF WASP
KINGDOM:ANIMALIA
PHYLUM:ARTHROPODA
CLASS:INSECTA
ORDER:HYMENOPTERA METAMORPHOSIS:COMPLETE METAMORPHOSIS -WASP:IT IS A SOCIAL WINGED INSECT WHICH HAS A
NARROW WAIST AND A STING-YELLOW AND BLACK
STRIPES.
THIS WASP GROUP IS NAMED FOR THE NESTS THAT ARE
MADE FROM MUD COLLECTED BY THE FEMA

General Discussion / WAEC 2O14/2015 BIOLOGY Expected practical solution

« Last post by examRuns on April 28, 2014, 04:58:11 am »

General Discussion / Re: ==>100% real mathematics ansas.OBJ available==>

« Last post by examRuns on April 24, 2014, 10:55:23 am »

Verified maths objs
1BACCBADBCA
11ADDABBDAAC
21DCABABCCAC
31CACDCDAABB
41BBADCCBDCA. Thank God today bro.

General Discussion / Re: ==>100% real mathematics ansas.OBJ & ESSAY available==>

« Last post by examRuns on April 24, 2014, 07:11:23 am »

(6)
(2p-(1/2))
=(4p-1)/2
=(3*2)/4p-1=6/(4p-1)
6/(4p-1)=4(p+4)/3
6/(4p-1)=(4p+16)/3
=(16p^2)+(64p)-4p-16=18
=(16p^2)+(64p)-4p-16-18=0
=(16p^2)+60p-34
=(8p^2)+30p-17=0
=(8p^2)-4p+34p-17=0
4p(2p-1)+17(2p-1)=0
4p+17=0, 2p-1=0
4p=-17, 2p-1=0
4p=-17, 2p=1
p=-17/4, p=1/2
p=-17/4, 1/2(9ai)
16-2x+6+x+19-3x+5x+8x+4x+7x+4=125
45+20x=125
20x=125-45
20x=80
x=80/20
x=4
(9aii)
n(PUQnR)=16-2x+5x+6+x
=22+4x
=22+4(4)=38
(9bi)
=50(deg) corresponding angle
(9bii)
YZE=50(degree) (YEZ+50(degree)+(50degree)=180(degree) Sum of angles in a triangle
YEZ+100(degree)=180
YEZ=180-100
YEZ=80(degree)(10a)
X^2-3x-2x+6=12
x^2-5x+6=12
x^2-5x+6-12=0
x^2-5x-6=0
Factorising
x^2-6+x-6=0
x(x-6)+1(x-6)=0
x+1=0 or x-6=0
x=-1 or x=6
(10b)
PQ^2=7^2+7^2-2(7)(7)cos60(degree)
PQ^2=49+49-98*0.5
PQ^2=49
PQ=sqrt(49)=7cm
PQ at the centre = 7/2=3.5cm
Area(A)= (pie)r^2
=(22/7)*(3.5^2)=38.5cm^2(10a)
X^2-3x-2x+6=12
x^2-5x+6=12
x^2-5x+6-12=0
x^2-5x-6=0
Factorising
x^2-6+x-6=0
x(x-6)+1(x-6)=0
x+1=0 or x-6=0
x=-1 or x=6
(10b)
PQ^2=7^2+7^2-2(7)(7)cos60(degree)
PQ^2=49+49-98*0.5
PQ^2=49
PQ=sqrt(49)=7cm
PQ at the centre = 7/2=3.5cm
Area(A)= (pie)r^2
=(22/7)*(3.5^2)=38.5cm^2(10a)
X^2-3x-2x+6=12
x^2-5x+6=12
x^2-5x+6-12=0
x^2-5x-6=0
Factorising
x^2-6+x-6=0
x(x-6)+1(x-6)=0
x+1=0 or x-6=0
x=-1 or x=6
(10b)
PQ^2=7^2+7^2-2(7)(7)cos60(degree)
PQ^2=49+49-98*0.5
PQ^2=49
PQ=sqrt(49)=7cm
PQ at the centre = 7/2=3.5cm
Area(A)= (pie)r^2
=(22/7)*(3.5^2)=38.5cm^2
(9ai)
16-2x+6+x+19-3x+5x+8x+4x+7x+4=125
45+20x=125
20x=125-45
20x=80
x=80/20
x=4
(9aii)
n(PUQnR)=16-2x+5x+6+x
=22+4x
=22+4(4)=38
(9bi)
=50(deg) corresponding angle
(9bii)
YZE=50(degree) (YEZ+50(degree)+(50degree)=180(degree) Sum of angles in a triangle
YEZ+100(degree)=180
YEZ=180-100
YEZ=80(degree)(12a)
Given, 5cos(x+8.5)-1=0
C0s(x+8.5)^o=1/5
cos(x+8.5)^o=0.2
x+8.5^o=Cos^-1(0.2)
x+8.5^o=78.46
x=78.46-8.5
x=69.96^o
x=70(degree)
(12bii)
QR^2=(PR^2)+(PQ^2)-2PR*PCOS(RPQ)
P^2=32^2+24^2-2(32)(24)COS45(DEGREE)
P^2=1600-1536*0.7071
P^2=1600-1086.1
P^2=513.88
P=sqrt(513.88)
p=22.67km
Distance QR=22.67km
(12biii)
32/sin(tita)=22.67/sin45(deg),
sin(tita)=0.9981
tita=sin^-1(0.9981)
tita=86(degree(5)
Pr(x)=0.5, Pr(X^1)=0.5
Pr(Y^1)=0.3 , Pr(Y)=0.7
(a)
Pr(both contracts)=Pr(x)*Pr(Y)
=0.5*0.7=0.35
(b)
Pr(exactly one of the contracts)=
Pr(X)*Pr(Y^1) +Pr(X^1)*Pr(Y)
=(0.5*0.3)+(0.5*0.7)
=0.15+0.35
=0.5
(c)
Pr(Neither of the contrasts)
= pr(X^1)*Pr(Y^1)
=0.5*0.3
=0.15(4a)
Area(A)= (tita/360*pieR^2) -(1/2R^2Sin(tita))
504=((90/360)*22/7*r^2)-(1/2*r^2*sin90)
504=(0.25*3.142*r^2)-(0.5r2)
504= 0.7855r^2 - 0.5r^2
504= 0.2855r^2
r^2= 504/0.2855
r^2=1765.32
r=Sqrt(1765.32)
r=42cm
(4b)
Draw the diagram
((3a)
Let p=1/x ,q=1/y
p+q=5 ---->equ(1)
q-p=1 ---->equ(2)
p+q=5 ---->equ(1)
p+q=1 ---->equ(2)
Add equ(1) and equ(2)
2q=6 , q=6/2=3
Substitle q=3 into equation(1)
p+q=5
p+3=5
P=5-3
p=2
Recall p=1/x , 2=1/x, x=1/2
q=1/y, 3=1/y , y=1/3
Therefore: x=1/2 , y=1/3
(3b)
Where the road is good
72=x/0.75
x=72*0.75
x=54km
Where the road is bad
48=x/0.75
x=48*0.75
x=36km
Number of kilometers of good surface is 54km(2a)
3sqrt(25*3)-sqrt(4*3)+sqrt(27*4)
15sqrt(3)-2sqrt(3)+2sqrt(27)
15sqrt(3)-2sqrt(3)+2sqrt(9*3)
15sqrt(3)-2sqrt(3)+6sqrt(3)=19sqrt(3)
(2b)
124n=232five
(1*n^2)+(2*n^1)+(4*n^o)=(2*5^2)+(3*5^1)+(2*5^o)
n^2+2n+4=50+15+2
n^2+2n+4-67=0
n^2+2n-63=0
n(n-7)+9n-63=0
n(n-7)+9(n-7)=0
(n+9)(n-7)=0
n=-9 or n=7:. n=7(1a) Slimplify
-->(6/10*32*4/100)/ (12/10*8/1000*16/100)
-->(6*32*4/10*1000)*(10*1000*100/12*8*16)
-->(6*32*4*100/12*8*16)
-->(6*2*4*100/12*

= 6*100/12
-->=50
(1b)
120(degree)+7x(degree)+3x(degree)=360(degree) angle at a point
120+10x=360
10x=360-120
10x=240
x=240/10=24(degree)