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Welcome to your UTME Mathmatics

Find the mean of the data , 7, -3, 4, -2, 5, -9, 4, 8, -6, 12
Find the c0-ordinate of the midpoint of x and y intercepts of the line 2y = 4x - 8
Find the value of p, if the line which passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0
Find the variance of 2x, 2x - 1, and 2x + 1
By how much is the mean of 30, 56, 31, 55, 43, and 44 less than the median
Simplify 1 - (2 1/3 x 1 1/3) + 3/5
The cost of renovating a 6m square room is N540. What is the cost of renovating a 9m square room?
A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides
Find the number of committees of three that can be formed consisting of two men and one women from four men and three women
The length a person can jump is inversely proportional to his weight. If a 20kg person can jump 1.5m, find the constant of proportionality
Find the value of x for which the function 3x3 - 9x2 is minimum
Two dice are thrown. What is the probability that the sum of the numbers is divisible by 3?
If tan x = 5 /4, find sin2 x - cos2 x
The slope of the tangent to the curve y = 3x2 - 2x + 5 at the point (1, 6) is
The sum of the first n terms of an arithmetic progression is 252. If the first term is -16 and the last term is 72, find the number of terms in the series



Welcome to your UTME Physics

A 120V, 60W lamp is to be operated on 220V a.c. supply mains. Calculate the value of non-inductive resistance that would be required to ensure that the lamp is run on correct value.

A cell of emf 1.5V is connected in series with a 1Ω resistor and a current of 0.3A flows through the resistor. Find the internal resistance of the cell.


The particle nature of light is demonstrated by the
The unit of moment of a couple can be expressed in

The energy of a photon having a wavelength of 10^10m is


A clinical thermometer is different from other mercury in glass thermometers owing to

In the figure above, the coefficient of static friction is 0.5. If the tension in the string is T, the acceleration of the system in motion is

[g = 10 ms-2]

A body weighing 80N stands in an elevator that is about to move. The force exerted by the floor on the body as the elevator moves upward with an acceleration of 5ms-1    



The pair if physical quantities that are scalar only are


Two long parallel wires X and Y carry currents 3A and 5A respectively. If the force experienced per unit length by X is 5 x 10-5N, the force per unit length experienced by wire Y is

If a pump is capable of lifting 5000 kg of water through a vertical height of 60 m in 15 min, the power of the pump is


An insect jumps with an initial vertical velocity of 1.0 m s–1, reaching a maximum height of 3.5 × 10–2m. Assume the deceleration is uniform.
What is the magnitude of the deceleration?

Which statement concerning a stationary wave is correct?


If a cage containing a truck of coal weighing 750kg is raised to a height of 90m in 1 minute, what is the total power expended?

[g = 10ms-2]

The bond between silicon and germanium is




Welcome to your Use of English

Select the option that best explains the information conveyed in the sentence.

The team’s poor performance at the tournament plumb the depths of horror.
Select the option that best explains the information conveyed in the sentence.

Zinana’s examination result was not unfavourable.
Choose the option opposite in meaning to the word or phrase in italic

Chibuzor gave a curt nod and walked away.
Choose the option opposite in meaning to the word or phrase in italics.

The girl took a cursory glance at the letter and hid it.
Choose the option opposite in meaning to the word or phrase in italics.

The man’s mordant wit is apparent to the entire village.
The word in capital letters has the emphatic stress. Choose the option to which the given sentence relates.

Adamu is leaving a CAR behind.
The word in capital letters has the emphatic stress. Choose the option to which the given sentence relates.

The bed is IN the room.
Choose the option that best complete the gap(s).

Do you mind…another hour or two?
Choose the option that best complete the gap(s).

The students had a…on Independence Day
Choose the option nearest in meaning to the word or phrase in italics.

Ayodeji is an ardent supporter of education for the girl child.
Choose the option that has the same consonant sound as the one represented by the letter(s) in italics.

In each of questions 12 to 20, choose the option opposite in meaning to the word(s) or phrase in italics.

The witness averred that she had seen Dosun at the scene of the crime.
The high cost of living these days calls for a lot of frugality.
Tunde’s reaction underscores the point I was making.
Everyone admired the manager’s adroit handling of the crises in the company.
The principal took exception to the ignoble role the teacher played in the matter.
He is notorious for his drunkenness.
The chairman’s conduct redounds to the image of the company.
Her phlegmatic temperament endears her to her friends.
The workers suddenly became restive.
Read the passage below carefully and answer the questions(21 - 25) that follow.

If our thought is to be clear and we are to succeed in communicating it to other people, we must have some method of fixing the meaning of
the words we use. When we use a word whose meaning is not certain, we may well be asked to define it. There is a useful traditional device for
doing this by indicating the class to which whatever is indicated by the term belongs, and also the particular property which distinguishes it
from all other members of the same class. Thus, we may define a whale as a ‘marine animal that spouts’. ‘Marine animal’ in this definition indicates the general class to which the whale belongs, and ‘spouts’ indicates the particular property that distinguishes whales from other
such marine animals as fishes, seals, jellyfish and lobsters. In the same way, we can define an even number as a finite integer divisible by two, or a democracy as a system of government in which the people themselves rule. There are other ways, of course, of indicating the meanings of words. We may, for example, find it hard to make a suitable definition of the word ‘animal’, so we say that an animal is such a thing as a rabbit, dog, fish or goat. Similarly, we may say that religion is such a system as Christianity, Islam, Judaism and Buddhism. This way of indicating the meaning of a term by enumerating examples of what it includes is obviously of limited usefulness. If we indicated our use of the word ‘animal’ as above, our hearers might, for example, be doubtful whether a sea-anemone or a slug was to be included in the class of animals. It is however, a useful way of supplementing a definition if the definition itself is definite without being easily understandable. Failure of an attempt at definition to serve its purpose may result from giving as distinguishing mark one which either does not belong to all the things the definition is intended to include, or does belong to some members of the same general class which the definition is intended to exclude.
[Adapted from Straight and Crooked Thinking by R. H. Thonless]

The writer uses the expression fixing the meaning of the words we use to mean
One of these summarizes the approaches to definition discussed in the passage.
The expression we may well be asked as used in the passage means
Which of the following statements can be deduced from the passage?
From the passage, which of these is a disadvantage of defining by enumerating?



Welcome to your UTME Biology

The part of the mammalian skin involved in excretion is the
The behavioural adaptation in social insects could best be described as
A green snake in green grass is able to escape notice from predators because of its
The stem of a typical aquatic plant usually has many
The role of the male adult honey bee is to
The correct base pairing for DNA is
A tall plant crossed with a dwarf one produces offspring of which half are tall and half are dwarf. What are the genotypes of the parents?
The hygrometer is used for measuring
A plant tissue that carries water and mineral salts is the
Water fleas, wood lice and barnacles belong to the group
Which of the following structures is adapted for feeding in a bird of prey?
The diseases caused by water-borne pathogens include
The transfer of pollen grains from the anther to a receptive stigma is
During the manufacture of food by plants, which of the following organisms use energy from the sun?
The blood circulatory system of vertebrates consists of



Welcome to your UTME Chemistry

Which of the following gases is employed as an anaesthesia?
A burning candle produces water and
Chlorophyll obtained from green leaves of plant can be composed of more than one coloured component by the technique of
A compound contains 31.91% potassium, 28.93% chlorine and the rest oxygen. What is the chemical formula of the compound?

[K = 39, Cl = 35.5, O = 16]
In an endothermic reaction, if there is a loss in entropy, the reaction will
Calculate the number of moles of HCl present in 20cm3 of a 0.75M solution of the acid.
The minimum amount of energy required for a reaction to take place is
The coloured nature of transition metal ions are associated with their partially filled
In the laboratory preparation of ammonia, the flask is placed in a slanting position so as to
An element used in the production of matches is
Cancerous growth are cured by exposure to
The pair of organic compounds that are isomers is
The product obtained when a mixture of benzene vapour and hydrogen are passed over a nickel catalyst at 180oC is
C(s) + 2S2(g) → CS2(g)  ∆H = +89kJ mol-1
The chemical equation above implies that
A primary amide is generally represented by the formula



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