Read the passage carefully and answer the questions that follow. Developments in electronic science have transformed the art of record-keeping in the modern age. Traditionally, records of events were kept only in people’s minds. It depended very much on the retentive power of human memory. This was extremely dangerous as people either forgot events wholly or in part, or deliberately falsified details to suit their various interests. Interminable arguments were thus the order of the day. Even writing which replaced mental recording was not entirely free from these shortcomings as untruths could be written as true records either willingly or inadvertently. With the adve t of the electronic memory, however, these dangers now show not only what happened, but also who did or said what, including how and when.
recording is _____.
writing.
writing.
keeping has _____.
writer mention while discussing the art of
record keeping?
unreliable because people _____.
when
is almost
systems
LEXIS AND STRUCTURE
In questions 6 and 7, select the option
that best explains the information
conveyed in the sentence.
In each of questions 8-11, choose the most
appropriate option opposite in meaning to
the words in italics.
new building.
jamb examination are sanguine of success.
was overcast.
undermine the efforts of this administration.
In each of questions 12-15, fill the gap
with the most appropriate option from
the list following gap.
is the best student in the class.
marriage two years ago because she has not
reached her ______.
reading over our work before submission.
______politics.
ENGLISH 2005/2006
ANSWERS [SECTION ONE]
COMPREHENSION
INSTRUCTION: Read the passage carefully
and answer the questions that follow.
The market was old, timeless Africa, loud,
crowded and free. Here, a man sat making
sandals from old discarde4 motor-car tyres;
there another worked at an old sewing
machine, making a nightgown-like affair
while the buyer.
waited; a little further on, an old goldsmith
worked at his dying art, but using, now,
copper filings instead of gold) to fashion the
lovely trinkets women wear the world over;
elsewhere a woman sold country cloth
fashioned with such fine art that only Africans
think of it as a garment of utility. Trade was
slow and loud everywhere. This was as much
a social as a shopping centre. For an excuse
to spend the day at the market, a woman
would walk all the way from her village to
town with half a dozen eggs. She would
spread them on a little bit of ground for
which she paid rent. Through the day she
would squat on the ground and talk to others
who came for the same reason. She would
refuse to sell her wares till it was time to
leave. They were the excuse for her being
there. There were many like that. But there
were many others for whom trade was an
earnest business. Whether in earnest or as
an excuse, the traders were boisterously
free, loud-mouthed and happy. The laughter
of the market was a laughter found nowhere
else in all the world.
half a dozen eggs in the market _____.
means that the
the content of the passage?
illustrates the impression the writer has
created about the market?
place.
pleasure.
laughter.
may be found for sale in the market?
LEXIS AND STRUCTURE
In each of questions 6-9, choose the
option nearest in meaning to the word
or phrase in italics.
race.
involved in partisan politics.
business.
doctor.
In each of questions 10-12, till the gap with
the most appropriate option from the list
following the gap.
____ justice with mercy.
efficacious D. effectual] drug has been
discovered as a cure for the AIDS diseases.
In each of questions 13-14, choose the
word that has the same consonant
sound as the one represented in the
letter underlined.
In the following question, the words in
capital letters have the emphatic stress.
Choose the option that best fits the
expression in the sentences.
NIGHT.
USE OF ENGLISH 2005/2006
SECTION TWO ANSWERS
correct to four significant figures and
1.867551 correct four decimal places?
offered at least one of English and French, if
52% offered French and 65% offered English,
what percentage offered French only?
6?3+5?2−8?
2?2+?−3
the inequalities 2x – 5 < 7 and 25 + 2x > 15
second term and the sum of the first three
terms is 18, find the first term of the A,P.
+ 9 4⁄ + 27
16 ⁄ + ⋯.
3⁄
8cm from the centre of the circle. Find the
length of the chord.
through (-2, 1) and is perpendicular to the
line 4x-2y+1=0
C.2y—x= 0
2y —rx +4=0 and perpendicular to the line
4y+ x —28=0 then the value of r is
11.
Score
0
1
2
3
4
5
No of
Student
2
8
14
16
12
8
The distribution above shows the scores of
sixty students in a class test. What
percentage of the students scored at least 3?
x=-1 is
the interval [1,-1] is
Score
1
2
3
5
6
Frequency 3
6
7
x
4
The table above shows the shows the marks
scored by a group of students in a class test.
If the mean score is 3.4, find x.
handset phones from five different types of
Nokia brand and two different types of
Samsung brand. In how many ways can the
company choose the handsets, so as to
include at least one Samsung brand?
ANSWERS TO
MATHEMATICS 2005/2006
correct t precision if the length of a piece of
wire is measured with a meter rule?
speed V requires power P, from the engine.
The force provided by the engine is
TRUE difference between evaporation and
boiling?
while boiling occurs at a fixed temperature
for a given pressure
while boiling is an interior phenomenon
III. Evaporation is affected by surface area
while boiling is not
raised to the same temperature. After
sometime, the copper was observed to be at
a lower temperature because _____
lower than that of rubber.
lower than that of copper.
correct about a long-sighted boy who does
not put on glasses?
focused in front of the retina
0.5Ω. If a cable of 1.0Ω resistance is
connected across the terminals of the
battery, the current drawn from die battery is
in the same direction, the conductors will
voltage so as to reduce
260 Hz are sounded close to each other.
What.is. the frequency of the beats
produced?
of’ a sonometer wire may be halved by A.
doubling the length of the wire
turns and a secondary coil with 2500 turns
and a secondary coil with 2500 turns. When
the voltage input to the primary is 120V, the
output is ____.
coil is based on
10days is spilled on a laboratory floor. How long would it take to disintegrate 3.5g of the
material?
correctly describe(s) cathode rays?
negative electric charges
not in an electric field
III. They consist of fast-moving neutrons and
are deflected in an electric field
deflected by a magnetic field?
ANSWERS TO PHYSICS
2005/2006 QUESTIONS
9
numbers E and 13 respectively. The formula
for the possible compound found between X
and Y is
heated to constant mass. If 0.44g of CO2 was
liberated, calculate the percentage of CaO in
the mixture.
as 1 cms-1
, what will be the rate of diffusion
of methane who relative molecular mass is
16?
increase in the pressure of a gas in a fixed
volume due to an increase in the
molecules
molecules and the walls of the container
takes place at the anode is
to prevent the mixing of the products
because
hydroxide
the presence of air and ‘chlorine
reaction related to that of the reverse
reaction?
than one
one
one
sunlight, the gas evolved is
while AgCl does. This is because
exposed to the atmosphere, the first gas they
absorb is
monomer?
ethyne?
ANSWERS TO CHEMISTRY
2005/2006
kindly take your time to study carefully
11
COMPREHENSION
INSTRUCTION: Read the passage carefully
and answer the questions that follow.
The approach to the university is being
restructured to ease the flow of traffic, give
better security and provide an appropriate
introduction to a seat of higher learning. The
Works and Services Complex is also under
construction, and we intend to move into the
completed (major) part of it within the next
few weeks.
All these projects are being executed with an
eye to aesthetics, for we recognize the
important influence of a beautiful and healthy
environment on its inhabitants and feel that a
cluster of buildings on a small space such as
we have, should be so well designed as to
have a beneficial psychological and
sociological effect on all members of the
community.
I have gone to these lengths to itemize these
examples of current development for two
main reasons. Firstly, to advise you that the
road diversions and other physical
inconveniences currently being experienced
will be on the increase because of intense
development activity. We therefore appeal to
you to bear with us in full knowledge and
consolation that such inconveniences are
temporary and will soon yield final tangible
results. Secondly, to demonstrate our
capacity for executing approved projects with
dispatch. and to assure Government that we
are up to the task. Indeed. I can assure
Government that its ability to disburse funds
to us will be more than matched by our
capacity to collect and expend them on
executing various worthy projects in record
time.
the inhabitants
the people
will be for a while
for projects can be spent on them in good
time.
intense
government of our executive ability
for funds
inconveniences will continue
means ______.
why.
Services Complex in the University
consideration when building on such a small
space as we have
rebuilt
completed in the next few weeks
gates in the meantime
given by the author for enumerating the
examples of the current development?
approved projects
be trusted with tasks
experienced will go on indefinitely.
being caused but we do not want you to
complain.
projects within the scheduled time.
In each of questions 6-15, fill the gap with
the most appropriate option from the list
following the gap.ng
kindly take your time to study carefully
12
diversion in order to ______ the new import
duty.
are all females.
_____.
error to score the equalizer. A. on
cup _____ the radio.
know that a car runs ______ Petrol. A. with
____ a bouncing baby boy.
_________ student were able to solve it.
succeed in exams without working hard.
_______ making a statement.
USE OF ENGLISH
2006/2007 ANSWERS
DOWNLOAD MORE FREE PAST
QUESTIONS AT
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kindly take your time to study carefully
13
Indicate the correct option in each of the
following questions
500g is extended by 20cm with an applied
force, F. If the stone leaves with a velocity of
40m/s, the value of F is
B.2.0 x 103 N
C.4.0 x 103 N
D.4.0 x 104 N
completely counteract its weight
pressure
sum of the weight and upthrust
of ice, mass 1.5kg, If the heater is powered
by a 12V battery, and a current of 20A flows
through the coil, calculate the time taken to
melt the block of ice at 0°C. (specific latent
heat of fusion of ice = 336 x103
J/kg)
quantity of water at.30°C. What is the final
temperature?
law when
point on a very distant object is focused
the lens
to the
with a concave mirror, the object must be
positioned
of curvature
the
commutator
rings
capacitor, the voltage
parallel plate capacitor is to
6m the count rate was observed to be 600.
What its count rate at zero time?
incident of surface of a metal with work
function 3eV, then
maximum kinetic energy of 1eV
maximum kinetic energy of 3eV
maximum kinetic energy of 5eV
of m amount to 1.0x 10-6 kg. The amount of
energy obtained from the fusion (speed of
light = 3.0 x 106m/s) is
J
ANSWERS TO PHYSICS
2006/2007
1p.ng
kindly take your time to study carefully
15
separated. by dissolving the mixture in
61.2g of metal, calculate the formula of the
oxide. (Pb = 207, 0 = 16)
oxygen that is required for complete
combustion of a mixture of 20 cm3 of CO and
10 cm3 of hydrogen.
B.10 cm3
In the reaction above, ??3− is the
CH3COOH and KOH is
cm3 of 0.1 mol/dm3 solution?
In the equation above, the oxidizing agent is
and deposits 0.325 g of metal M. If the
charge is +2, the relative molecular mass is
the atmosphere causes
10.The diagram above shows the reaction
path of an exothermic reaction. The heat of
reaction is represented by
fastest with dilute HCL?
A.10 g of lumps of CaCO3 at 25℃
C.10 g of lumps of CaCO3 at 50 °C
D.10 g of powdered CaCO3 at 50 °C
test is
correct?
sulphur(1V) oxide bleaches by reduction
sulphur( IV) oxide bleaches by oxidation C. Both of them bleach by oxidation
ANSWERS TO CHEMISTRY
2006/2007
INSTRUCTION: Read the passage carefully
and answer questions 1-5 below.
Olumba removed a small black amulet from
his neck and substituted a bigger one. The
former was for general protection at home,
the latter for protection and luck whilst
travelling. Ready at last he picked up his
matchet and headed for the chief’s house
with Ikechi behind him.
Olumba walked ahead looking upward as
usual. Just what he was searching for in the
sky Ikechi couldn’t tell. Perhaps, his
shortness accounted for this habit since he
often had to look up into the faces of his
taller companions. What he lacked in height
he made up in solid muscle and he looked
strong. His wrestling pseudonym was
Agadaga, a name which meant nothing but
which somehow conveyed an impression of
strength.
Eze Diali, the chief, sat at one end of his
reception hall ringed by the village elders
whom he had called to a meeting. The rest of
the hall was filled with much younger men.
“People of Chiolu,” the chief began, “I have
learnt that poachers from Aliakoro ‘will be at
the Great Ponds tonight. There is no doubt
that they will try to steal from the Pond of
Wagaba which as you know is rich in fish.
Our plan tonight is to bring one or more of
these thieves home alive and ask for very
large ransoms. This line of action will have
two effects. Firstly. it will prove our charges
of poaching against the people of Aliakoro,
and secondly, the payment of very large
ransoms would be a deterrent. We need
seven men for this venture. I call for
volunteers.”
“Who will head this party?” the Chief asked,
looking around. Chituru, one of the elders,
said: “Eze Diali, let us not waste time.
Olumba is the man for the job. We all know
that he has led many exploits like this one.”
“We still need six men,” Eze Diali said. Eager
youths came surging forward. Their wellformed muscles rippled as they elbowed one
another. It was difficult to choose.’
“I suggest Olumba should choose his men.
He knows the boys very well and his
judgment should be reliable.” It was
Wezume, another village elder, who spoke.
________.
would definitely be poachers from Chiolu at
the Great Ponds that night
the poaching
impression of strength
In each of questions 6-8 choose the
word(s) that best complete the meaning
in the sentence/
and ____ herself more comfortably.
appeal for and took to the streets.
workshop _______on for fishing. my ears.
In question 9-11, choose the option
opposite in meaning to the word(s) in
italics.
of his cabinet.
student rather lightly.
In questions 12-14 choose the words or
which best fill(s) the gap(s).
that’s you don’t breathe well. A. few
someone_______ to disturb him.
working again.
In question 15 choose the word that has
the same consonant sound as the one
represented by the letter(s) underlined.
ANSWERS FOR ENGLISH
2007/2008
prep.ng
kindly take your time to study carefully
19
D.1/5
22x-3-33 x 2x + 4= 0
(
2
7 3 1
2⁄ ) (
?
?
) = (
10
7 )
5cm from the centre of the circle. Find the
length of the chord.
194 cm
find the value of p.
10/3
intersects BD at P. Calculate <CPD.
A.108°
Subject
s
Biolog
y
Chemistr
y
Math
s
Physic
s
Marks
95
2x+10
X
75
The table above shows the marks obtained
by a student in an examination. If the total
mark obtained is 300, what is the angle
corresponding to the mark obtained in
Chemistry if the information is represented in
a pie chart?
B.144°
so that its foot is 8.5m from the wall. Find
the angle of inclination of the ladder to the
horizontal floor
A.30°
10 Evaluate lim
?
→2
?2+?−6 ?−2
∞
??
=6x 3 and y(-1) = 8, find y(x).
f(x) = 2×2 – 12x + 5 is
cards, 3 MTEL cards and 6 Vmobile cards.
What is the probability that a card selected
from the basket at random will be MTN or
MTEL card?
find the variance.
2
ANSWERS TO MATHEMATICS
2007/2008
ng
kindly take your time to study carefully
21
was hung from it was 0.56cm. If Hooke’s law
is obeyed, what is the extension caused by a
load 20g weight?
starting from rest is plotted against the
square of the time-elapsed from the
commencement of motion. Th resulting graph
is a measure of
suspended at 15cm from one of its ends. If
the fulcrum is at the centre of gravity. the
force that must be applied at its other end to
keep it in horizontal equilibrium is
coordinates (5s, 10m/s) and (20s, 20m/s).
Calculate the mean acceleration between the
two points.
A.0.67m/s2
correct?
convection
ii: The vacuum in a thermos flask prevents
heat lo due to convection only
iii. Convection may occur in liquids or gases
but in solids
power of accommodation it controlled by the
per unit length, the note produced by a
plucked string is 500Hz when the-length of
the wire is 0.9m. At what length is the
frequency 150Hz?
mirrors inclined at an angle of θ˚ . If the total
number of images formed is 7, find the value
of θ˚
B.45°
separated from the south pole because of a
property known as _____.
charges is increased by a factor of four, the
magnitude of electrostatic force between
them will be
When r supplying a current of 2.0A; and 2:0V
when supplying a current of 3:0A. The
internal resistance of the battery is
transmission is to
heat production
using high voltage
low voltage
convert a milliammeter to ammeter?
electrons with a maximum kinetic energy of
2eV are ejected. The work function of the
metal is
that
equals the sum of the masses of the products
ANSWERS TO PHYSICS
2007/2008
boiling points can be separated by
be separated by
xPb(NO)2 → 2PbO + yNO2 + zO2 What are the
values of x, y and z respectively?
100 cm3 of air containing 21% O2. Calculate
the volume of the residual gases at 110℃.
atoms
the cloud of electrons
another
ions
to 50 cm3 of 3 M NaCl. The molar
concentration of the resulting solution is
solutions is
in excess oxygen to form a product that is
neutral to litmus?
mole of Cu was deposited. How many grams
of Ag will it deposit? (Cu = 64, Ag = 108)
ions is very likely in a soil that has high
11 . Producer gas is a gas with low calorific
value because it contains more
leave a metal residue when heated?
D.Na2CO3
formed when ammonium solution of
copper(l) chloride is introduced into
ANSWERS TO CHEMISTRY
2007/2008
INSTRUCTION: Read the passage carefully
and answer the questions that follow it.
Mathematics is the language in which the
Book of Nature is written: Mathematics is the
queen of the sciences. It is universally
agreed that Mathematics is the backbone of
Science and Technology. For without
mathematics, the engineer is but an artist or
a sculptor. He can build his bridge, attest to
its form and beauty, but without
mathematics he cannot guarantee its
reliability to serve the purpose for which it is
built. Mathematics is indeed the science of
sciences. It is also art of all arts. It is right,
legitimate and defensible to consider
mathematics as an Art. The poet, the
musician, the artist and the mathematician
have a lot in common. Fundamental to all
their studies and works is their common
interest in the logical study of related
concepts and objects to form patterns which
will produce beauty, harmony and order.
Thus. the poet arranges words to produce a
pattern called music; the artist arranges
colours to produce a pattern called painting
and the mathematician arranges abstract
ideas into a pattern using symbols, to
produce equations. Each 01. these patterns –
the poem, the music, the painting and the
equation must stand up to the test of the
same order, harmony and beauty. So, if
Mathematics is not an art, what is art?
belong to
of sciences- contains
in this passage because
punctuation correctly punctuation correctly.
concept and a subject.
sciences.
4.The last sentence in the passage, “So if
Mathematics is not an art, what is art?” is a
_____.
and order in language.
form of art because _____
arts.
harmony and order
In questions 6 and 7 Choose the Word
that has been correctly spelt
the streets and on campus.
______ into making a statement
In questions 8-10 choose the option that
best completes the gap
______ can solve my problem.
COMPREHENSION
INSTRUCTION: Read the passage carefully
and answer the questions that follow it.
Mathematics is the language in which the
Book of Nature is written: Mathematics is the
queen of the sciences. It is universally
agreed that Mathematics is the backbone of
Science and Technology. For without
mathematics, the engineer is but an artist or
a sculptor. He can build his bridge, attest to
its form and beauty, but without
mathematics he cannot guarantee its
reliability to serve the purpose for which it is
built. Mathematics is indeed the science of
sciences. It is also art of all arts. It is right,
legitimate and defensible to consider
mathematics as an Art. The poet, the
musician, the artist and the mathematician
have a lot in common. Fundamental to all
their studies and works is their common
interest in the logical study of related
concepts and objects to form patterns which
will produce beauty, harmony and order.
Thus. the poet arranges words to produce a
pattern called music; the artist arranges
colours to produce a pattern called painting
and the mathematician arranges abstract
ideas into a pattern using symbols, to
produce equations. Each 01. these patterns –
the poem, the music, the painting and the
equation must stand up to the test of the
same order, harmony and beauty. So, if
Mathematics is not an art, what is art?
belong to
of sciences- contains
in this passage because
punctuation correctly punctuation correctly.
concept and a subject.
sciences.
4.The last sentence in the passage, “So if
Mathematics is not an art, what is art?” is a
_____.
and order in language.
form of art because _____
arts.
harmony and order
In questions 6 and 7 Choose the Word
that has been correctly spelt
the streets and on campus.
______ into making a statement
In questions 8-10 choose the option that
best completes the gap
______ can solve my problem.
for my birthday party.
the more radical ones
In question 11 choose the option that
explains the information conveyed in the
sentence.
distributed to the rank and file.
leaders.
In questions 12 and 13, choose the
option nearest in meaning to the
word(s) in italics
to prosecute the case, it is now in abeyance.
never accepted as members of the society.
They were simply _____.
In question 14, choose the option that
has the same vowel sound as the one
represented by the letter(s) underlined
In question 15 choose the option that
has the same consonant sound as the
one represented by the letter(s)
underlined
ANSWERS TO ENGLISH
2008/2009 P/UTME
light nuclei?
iii. neutrons
is that
due to electrons while γ -rays come from the
nucleus
B.X-rays are electromagnetic radiations while
γ -rays are not
C.X-rays have higher frequencies than γ –
rays
becomes
ANSWERS TO PHYSICS
2008/2009
p.ng
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31
respectively in the equation? ‘
pCH4 + qO2 → rCO +sH2O
impurity. If 2.5 g of the impure KHCO3 on
heating produces 0.224 dm3 of CO2 at s.t.p.,
calculate the percentage of K2CO3 impurity.
(K=39, H = 1, C= 12, 0 = 16)
A.30%
B.40%
50℃ in which there are 0.30 mole of N2 and
1.2 mole of CO2 at a pressure of 2.00 atm is?
occurs among elements is that they have the
tendency to
12, what is the concentration oh he OHions?
than 7?
hydrogen peroxide act as a reducing agent?
O2
by the use of the following EXCEPT
with
8.0×1027 atoms. Half-life is two days. After
16 days the number of atoms is
substances are hygroscopic?
even though it is a d-block element because
elements
to sunlight because
sun
resonance?
HCI produces
D.CH3COOH + CH3CH3
ANSWERS TO CHEMISTRY
2008/2009
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35
Mathematics or Physics or both. If 125 offer
Mathematics and 105 offer Physics, how
many students offer Mathematics only?
3(24x + 3) = 96
is ₦500. What is the cost of renovating a
10m square room?
area S of a sphere with respect to its radius r
when r = 2.
B .16 π
???
2?
−
1
???
2
?
?0
??
θ.
numbers is defined as
x * y= 2x ?3−?3
?+?
, find -1*2
and -3 is
7x — 3 > 3x + 4.
where S = {C1, C2, C3, C4}. Find P(C3) if
P(C1)=3/10 and P(C4)=1/4
following data 7, 8, 9, 10. 11. 12, 13.
the following set of numbers: 2.4, 2.1, 1.6,
2.6, 2.6, 3.7, 2.1 and 2.6, then (3w,2z) is
length 6crn and 8cm. If the area is 42cm2
,
find the, distance between the parallel sides.
subtends an angle of 3y° at the centre of the
circle. Find the value of y, if the radius of the
circle is 7cm.
kindly take your time to study carefully
33
COMPREHENSION
INSTRUCTION: Read the passage below
carefully and answer the questions 1-5 that
follow.
All over the world till lately, and in most of
the world till today mankind has been
following the course of nature: that is to say,
it has been breeding up to maximum. To let
nature, take her extravagant course in the
reproduction of the human race may have
made sense in an age in which we were also
letting her take her course in decimating
mankind by the casualties of war, pestilence,
and famine. Being human, we have at least
revolted against that senseless waste. We
have started to impose on nature’s heartless
play a humane new order of our own.
But, once man has begun to interfere with
nature, he cannot afford to stop half way. We
cannot, with impunity, cut down the deathrate and at the same time allow the birthrate to go on taking nature’s course. We
must consciously try to establish an
equilibrium or, sooner or later, famine will
stalk aboard again.
1.The author observes that
by the extravagance of nature.
made sense.
not interfere with normal reproduction.
process.
2, Which of these statements does not
express the opinion of the author?
work of nature.
want and disease.
number of children possible
matters of birth and death is a happy one.
equilibrium” in the passage implies that
mankind must
C purposely try to fight nature.
gradually
In questions 6 and 7, select the option
that best explains the information
conveyed in the sentence
I’ve got the jitters already.
resting on them
efforts
In questions 8-11, choose the word(s)
that best completes the meaning in the
sentences
screws had____
person who____ the crime.A. perpetrated
_______ justice with mercy.
gone through all. He is totally a_____ reader.
In questions 12 and 13, choose the
option nearest in meaning to the
word(s) or phrase(s) in italics
ostracized simply because of their ancestry.
In questions 14-15 choose the word(s)
or phrase which best fills the gap(s)
14._____ him in the crowd, 1 would have
told you at
once.
15._____ he had insufficient qualification; he
was
denied admission.
USE OF ENGLISH
2009/2010 ANSWERS
such that its distance from the line y 3 is a
constant k.
ANSWERS TO MATHEMATICS
2009/2010
kindly take your time to study carefully
37
m/s2
) from a height of 10 m on top of a
platform 0.8 m above the ground. Its velocity
on reaching the platform is
measuring the
flotation
apparent loss in weight
brought to rest at 0.2 m by friction. If the
mass of the bead is 0.01 kg and the
coefficient of friction between the bead and
the wire is 0.1, determine the work done by
friction.
J
velocity ratio of 5. If a force of 500N is
applied to lift a load of P(N), what is the
magnitude of P?
has a volume of 1200 cm3
. Determine its
volume at 27°C and a pressure at 75cm of
mercury.
2.0 x 105 Nm-2 when the temperature of air is
27°C. What will be the pressure at 87°C
assuming the volume does not change?
water at an angle of 30°. Find the angle of
refraction if the refractive index of water is
4/3.
transmitter is 1500m and the frequency is
200KHz. What is the velocity of the
propagation?
that his face appeared to have grown bigger.
The boy must have been looking at a
focus and the mirror
focus and the mirror
harmonics of a piano string of length 1.5m, if
the velocity of the string is 120m/s.
20 cm and cross-sectional area 8 x 105 m2
and resistivity 4 x 10-7 Ωm is
The correct fuse rating of the device is
a 30.0mH inductor with negligible resistance
is connected to a 1.3 KHz oscillator B. 122.5Ω
9days. Calculate the fraction that remains
after 36days.
uranium fuel rods in a nuclear reactor are
used to
nuclear process
the nuclear process
down the nuclear process
up the nuclear process
ANSWERS TO PHYSICS
2009/2010
except
ANSWERS TO CHEMISTRY
2009/2010
except
ANSWERS TO CHEMISTRY
2009/2010
kindly take your time to study carefully
41
COMPREHENSION
INSTRUCTION: Read the passage
carefully, and answer the questions that
follow it.
Although our aim is to nurture children,
Nigerian children are still subjected to severe
physical, social and mental stress as they
develop. So far, our interest and activities
have been to ensure their physical well-being
through the reduction of high mortality and
morbidity rates, still inadequate as this may
time the other needs of the Nigerian child
which will ensure a totally healthy
development.
We are split between two cultures our
traditional and the western, a relic of our
colonial past. This also affects our child
rearing practices. Therefore, these practices
must have a very important bearing on how
the child is prepared for our world of today so
that he fits into our different personalities in
terms of motivation, aggressiveness,
achievement and the integration of the
individual into the community socially and
culturally. It is important that, while we
struggle with the visible organic diseases, we
fix our gaze on the other important measure
to attain this one a healthy child.
The process of social adjustment begins from
the moment of birth. Many of our traditional
birth practices ensure that the mother either
carries or suckles her child immediately after
birth. The baby therefore comes into close
contact with the mother at this critical time.
Moreover, she is forced to stay indoors with
the baby for varying periods of time. By this
means, the attachment of the baby to the
mother, so essential for the child’s ability to
relate to her in future, is secured.
This crucial moment in the baby’s life is now
being recognized in western countries, whilst
birth practices in some hospitals and
maternity homes separate mother and child
immediately after birth to the extent that
their ability to develop a close relationship
may be jeopardized. Our Nigerian child of
today may, therefore, be worse off than that
of yesterday. As we move towards the
training of our traditional birth attendants
with a view to incorporating them into our
health services, healthy practices such as the
one described above must be maintained and
encouraged.
explain that to ensure a totally healthy child
child’s physical well-being alone
mortality and morbidity rate
in addition to the child’s physical well-being
hygiene
bringing up children
bringing up children and educating them
and achievements of the individual
attainments
the people
begins from the moment of birth, our
traditional practices
the child
civilization
countries now recognize the importance of
the early period of
childhood in forming a relationship, Nigerian
hospitals and maternity homes
being criticized in western countries .
of the child is secure
kindly take your time to study carefully
42
skills – for establishing relationships
attendant is based on healthy practices
brought up in the traditional way
provide the right services
affected
useless
In the following sentences, choose the
word that is SIMILAR IN MEANING to
the word italicized/underlined in each of
the sentences.
celebration in the state a very historic event.
visit to our town was delivered extempore.
the police for attending the interview with
spurious credentials.
Nigerian languages derive from one source.
of his irreverent behaviour.
In each of the questions in this section,
choose the option that best completes
the gap.
place.
competition have been _____.
morning.
he arrived.
go into politics.
ANSWERS TO USE OF ENGLISH
2010/2011 (Session 1)
INSTRUCTION: Read the passage carefully,
and answer the questions that follow it.
Our planet is at risk. Our environment is
under threat. The air we breathe, the water
we drink, the seas we fish in, and soils we
farm, the forests, animals and plants which
surround us are in danger. New terms and
words describe these problems – acid rain,
the greenhouse effect, global warming, holes
in the ozone layer, desertification and
industrial pollution. We are changing our
environment. More and more gases and
wastes escape from our factories. Rubbish,
oil spillages and detergents damage our
rivers and seas. Forests give us timber and
paper, but their loss results in soil erosion
and also endangers wildlife.
The richer countries of the world are mainly
responsible for industrial pollution. This is
where most of all the commercial energy is
produced. In developing countries, poverty
cause people to change their environment to
overgraze grassland, to cut down trees for
new land and firewood, to farm poor soil for
food.
The United Nations Environmental Protection
Agency says that an area of forest the size of
Sierra Leone disappears every year. Trees
are cut down for timber which is used for
building, furniture, paper and fuel. They are
also destroyed to provide land on which to
graze animals and build new villages and
towns. But trees have many other important
uses. Trees protect the land from heavy
downpour of ram and their roots help to hold
the soil together. Forests are also the home
of many living things. The Amazon forest
contains one fifth of all the species of birds in
the world. In our forests, there may be plants
and animals which could help in the discovery
of new medicines of crops.
To rescue and conserve our beautiful world,
we must act cooperatively. Individuals,
communities, nations and international
associations, all have a responsibility. By
learning to protect the natural environment,
we can manage the earth’s resources for
generations to come.
______.
the inhabitants of developing countries
those in developed countries
livelihood
forest depleted annually is
responsible for industrial pollution because of
their _____.
protection
the poorer ones
C urgent need to protect the natural
environment
D need to research into other uses of the
trees in our forest
In the following sentences, choose the
word that best completes the meaning in
each of the sentences.
because he was very ______.
farming should be widely ……
USEng
kindly take your time to study carefully
44
interview. So, he had to bear his ____.
be a _____ to the police.
accusation of wrong doing.
In the following sentences, choose the
word that is OPPOSITE IN MEANING to
the word in italic/underlined in each of
the sentences
relationship existing between the soldiers and
the civilians.
establish in this country because the
environment is congenial.
prudence in his handling of the revenue.
useless argument.
nowadays towards reading novels.
ANSWERS TO USE OF ENGLISH
2010/2011 (Session 2)
kindly take your time to study carefully
45
(125)1 3⁄ x (0.49)1 2⁄ x (0.01)1 2⁄
y = 3×3 + 5×2−3 at (-1, 5).
y = x2−x −2 and x-axis.
y- = 3 – lnx.
4
3 ?
) (1
2) = (
10
−1)
11
2
2÷1
4
??
32
5/6, while that of event B is 1/6. If the
probability of both A and B is 1/2, what is the
probability of event A.
X, Y and Z occurring are ½, 2/3, ¼
respectively. What are the chances of Y and
Z only occurring?
containing 12 white balls and 16 blue balls.
lithe probability of picking a red ball from the
basket is 3/7, how many red balls were
introduced?
the line joining (2, 7) and (1, -6).
2 ,
13
2
)
2
,
1
2
)
1
2
,
1
2
)
3
2
,
13
2
)
inscribed in a circle. Find the area of the
circle.
2
radius, r of the circle. Find the length of the
arc PQ.
ANSWERS TO MATHEMATICS
2010/2011
ng
kindly take your time to study carefully
47
right angles to each other. if one of them
makes an angle of 30° with the resultant,
find the magnitude of the other force.
plane inclined at an angle θ° to the
horizontal. The component of the weight
down the slope is
velocity of 10.0ms-1 and collides with a wall.
After the collision, the body moves with a
velocity of 2.0ms-1
in the opposite direction.
The change in momentum is
was used to melt 1.5kg of ice at 0°C.
Calculate the time required if the latent heat
of fusion of ice is 336 × 103
J/Kg.
mainly by.
of gases is that
the number of collisions is constant
the pressure
and are very small in size
temperature
normal adjustment when the
than that of the eye piece
to the
glass
tension of 55N. If the fundamental frequency
is 196Hz, find the speed of wave on string.
primary winding and 100 turns as secondary
winding. If the primary coil is connected to a
12V source, the transformer functions as
emf= 6V
emf= 3V
– 24V
– 48V
a voltage of 4.0V when supplying a current of
2.0A. Calculate the terminal voltage if it now
supplies a current of 3.0A.
parallel plate capacitor is to
kindly take your time to study carefully
49
of the period of a simple pendulum?
acceleration due to gravity
the acceleration due to gravity
length of the string
length of the string and acceleration due to
gravity
40ms-1 across a river flowing due south at
30ms-1
. Calculate the resultant speed of the
boat.
1.3 x 106 Nm-2
. What is the total pressure at
the bottom of an ocean 10m deep? (Density
of water = 1000kgm-3 and g=10ms-2)
make water boil at a temperature of 100℃
and saturation vapour pressure of
750mmHg?
constant pressure is
incorrect about an ideal gas (all the symbols
have their usual meanings)
?
= constant
??
3 2⁄ ???
? = ????????
positive x-direction is given by
y = 0.20sin(500t – 20x). The amplitude,
angular frequency and wavelength of the
wave are respectively given by
rad/s, 0.1π
cm
rad/s, 0.05cm
is incident is rotated through an angle θ, the
reflected ray will be rotated through
20m and cross-sectional area 8 x 10-6 m2 has
a resistance of 1Ω. The resistivity of the wire
is
capacitor the voltage
earth’s magnetic field and the horizontal is
called
concerning atomic structure?
positively charged nucleus
equal mass
nucleus is equal to the number of nucleons
days. Calculate the fraction that remains
after 36 days.
is that
ANSWERS TO PHYSICS
2010/11 (SESSION 2)
kindly take your time to study carefully
53
different boiling points can best be achieved
by A. fractional distillation
that.is required for the complete combustion
of a mixture of 20cm3 of CO and 25cm3 of
hydrogen.
increase in the pressure of a gas because
there is an increase in the
molecules
and the other
pressure of its solid at a given temperature
atmospheric with pressure
0.25 and that of Cl2 under the same
conditions is 0.20, calculate the relative
molecular mass of the gas.
bonding EXCEPT
80cm3 of 0.50 mol/dm3 HCl solution, the new
concentration of the acid is
below?
H2O2 + 2H+ + 2Fe2+
and 0.1 mole of Cu was deposited. How
many grams of silver will be deposited by the
same quantity of electricity? {Ag=108}
correct?
exothermic while that of hydrated CuSO4 is
endothermic
endothermic while that of hydrated CuSO4 is
exothermic
hydrated CuSO4 is exothermic
hydrated CuSO4, is endothermic
What conditions would favour maximum
conversion of nitrogen(II) oxide and
carbon(II)oxide in the reaction above?
11 Which of the alloys below does not
contain copper?
2NaAl(OH)4(aq) + 3H2(g)
From the equation, give the condition of
reaction
oxoiodate(I) to give a bright yellow solid with
a characteristic smell. The product is
102g. Derive its molecular formula and hence
name the acid
ANSWERS TO CHEMISTRY
2010/2011 (SESSION 2)
p.ng
kindly take your time to study carefully
55
COMPREHENSION
INSTRUCTION: Read the following passage
carefully, and answer the questions that
follow.
If we examine the opportunities for education
of girls or women in less developed countries,
we usually find a dismal picture. In some
countries, the ratio of boys to girls in
secondary schools is more than seven to one.
What happens to the girls? Often, they are
kept at home to look after younger siblings
and to perform a variety of domestic chores.
Their education is not perceived as in any
way equal in importance to that of the boys.
When a non-literate or barely literate girl
reaches adolescence, she has little or no
qualification for employment, even if her
community provides any opportunity for the
employment of women. The solution is to get
her married as soon as possible, with the
inevitable result that she produces children
too soon, too often and too late. With no
formal education, she is hardly aware that
there is any alternative. In a study made in
Thailand, it was noted that the literate
woman marries later and ceases childbearing
earlier than her non-literate counterpart. But
the latter is so chained in her household by
the necessities of gathering fuel, preparing
food and tending children that she is very
difficult to reach, even if health services,
nutrition, education, maternal and child
health centres are available in her
community. She does not understand what
they are intended to do.
developed countries are not in school
because
children
reach because she
education and health services
for health services
passage implies that the woman
earlier
ought to have stopped
produce children .
developed countries –
advantage because she has more
in employment
equal opportunities in education
LEXIS AND STRUCTURE
From the options in questions 6 and 7,
choose the one that best completes the
sentences.
already.
when the girls insulted me.
C was
In the following sentences, choose the
word that is similar in meaning to the
word underlined in eacw.prep.ng
kindly take your time to study carefully
55
COMPREHENSION
INSTRUCTION: Read the following passage
carefully, and answer the questions that
follow.
If we examine the opportunities for education
of girls or women in less developed countries,
we usually find a dismal picture. In some
countries, the ratio of boys to girls in
secondary schools is more than seven to one.
What happens to the girls? Often, they are
kept at home to look after younger siblings
and to perform a variety of domestic chores.
Their education is not perceived as in any
way equal in importance to that of the boys.
When a non-literate or barely literate girl
reaches adolescence, she has little or no
qualification for employment, even if her
community provides any opportunity for the
employment of women. The solution is to get
her married as soon as possible, with the
inevitable result that she produces children
too soon, too often and too late. With no
formal education, she is hardly aware that
there is any alternative. In a study made in
Thailand, it was noted that the literate
woman marries later and ceases childbearing
earlier than her non-literate counterpart. But
the latter is so chained in her household by
the necessities of gathering fuel, preparing
food and tending children that she is very
difficult to reach, even if health services,
nutrition, education, maternal and child
health centres are available in her
community. She does not understand what
they are intended to do.
developed countries are not in school
because
children
reach because she
education and health services
for health services
passage implies that the woman
earlier
ought to have stopped
produce children .
developed countries –
advantage because she has more
in employment
equal opportunities in education
LEXIS AND STRUCTURE
From the options in questions 6 and 7,
choose the one that best completes the
sentences.
already.
when the girls insulted me.
C was
In the following sentences, choose the
word that is similar in meaning to the
word underlined in each of the p.ng
kindly take your time to study carefully
56
what we went through during the war.
member is an aspersion on the reputation of
my company.
In each of the questions 10 and 11,
choose the option that has the same
consonant sound as the one represented
by the letter(s) underlined.
In each of questions 12 and 13, the
words in capitals have the emphatic
stress. Choose the option that fits, the
word in the sentence.
of rice.
of rice?
rice?
rice?
tyre.
In the following sentences, choose the
word that is opposite in meaning to the
word underlined in each of the
sentences.
regrets. that is why one should be _____
very apt to serve as a warning.
rep.ng
kindly take your time to study carefully
59
were projected horizontally at different
angles of 15℃ and 75
℃ respectively but with
the same velocity.
The ranges covered by the stones will be
angular momentum of the body will
derived unit ML2T-2 correct?
III. Work
substances arranged in the descending order
of their conductivities?
2×10-5/℃; the volume of a piece of brass
10 cm3
at 0
℃, what will be its volume at
100℃ ?
thermocouple is that its
an image ½ the size of the object, the object
distance is
distance of distinct vision of 150 cm. For him
to read a material placed at a distance of 25
cm, what is the focal length of the glasses he
should wear?
connected in series. If the pd across the
system is 12V, the pd across the 6 μF
capacitor is
when connected to a 40V battery. The energy
dissipated in 2 minutes is
deflected by a magnetic field?
–
rays
HNO3. If 0.1 mole of CO, is produced, what
is the percentage purity of the Na2CO3?
[Na=23, C=12, 0 =16]
112.0 cm3 at STP when evaporated. The ratio
of carbon to hydrogen is 1:2. The relative
molecular formula is
under the same conditions. If the relative
molecular mass of Y is 112, calculate the
relative molecular mass of X.
that decreases along the period and
increases down the group?
of NaOH solution containing 8 g of NaOH per
dm3 of solution. What is the pH of the
resulting solution?
gallium (Ga) shows an oxidation number of
+3?
of 10 A is passed through a solution of silver
salt for 4830 secs is [Ag = 108, 1F =
96500C]
great disorder, it means
energy
energy
for the forward reaction related to that of the
reverse reaction?
one
than one
one
spontaneous disintegration of the nucleus of
heavy isotope certain elements with the
emission of
–
rays
giver gas P leaving a white solid residue Q.
Addition of water to Q liberated a gas which
produces dense white fumes with a drop of
hydrochloric acid. The gas P was
CHEMISTRY 2011/2012 QUESTIONSMATHEMATICS 2012/2013 QUESTIONS
value of 3?−?
4?+?
3
2
5
3
10 + 2log10 6 in terms of x and y.
1
1
2
⁄
2÷
1
4⁄
??
16
3
16
1
3
4
term and the sum of the first four terms is
42, find the common difference.
2
2+ 3 2⁄ + 9 8⁄ +27
32 ⁄ + ⋯
cos
2? −2????
2????
2 |
the point B has coordinates (-4, 4). The
variable point P has coordinates (x, y) and
moves on a path such that AP =2BP. Find the
Cartesian equation of the path of P.
+ y
2
=100
2
+ y
2
+ 100 =0
3 − ?)sin(?
3 + ?)
coordinates (ap2, 2ap) and(aq2,
2aq)respectively lie on the curve y2= 4ax.
The tangents to the curve at P and Q meet at
the point T. Find the coordinates of T if pq ≠0
??
??
of the curve y = 27×3 – 27×2 + 4
??
?? ? = −1
A to E for each of the five options of a
question paper. In how many ways can the
examiner place one option of the question
paper in each envelope without getting every
option in the envelope?
received by a group of students who share00:00 with a teacher. How much did the
teacher receive?
Amt.
Received
in ₦
200
350
700
1000
No of
Students
1
2
3
5
from the numbers -1, 0, 1. What is the
probability that the product of the numbers
removed is zero?
A.
1
3
B.
2
3
C.
5
9
D.
4
9
MATHEMATICS 2012/2013
ANSWERS
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