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Welcome to your UTME Mathmatics

If dy/dx = x + cos x, find y
An aeroplane flies due north from airports P to Q and then flies due east to R. If Q is equidistant from P to R. Find the bearing of P to R.
Find the c0-ordinate of the midpoint of x and y intercepts of the line 2y = 4x - 8
In a class of 40 students, 32 offer mathematics, 24 offer physics and 4 offer neither mathematics nor physics. How many offer both mathematics and physics?
A bag contains 5 black, 4 white, and x red marbles. If the probability of picking a red marble is 2/5, find the value of x
If tan x = 5 /4, find sin2 x - cos2 x
Find the derivative of (2 +3x)(1 - x) with respect to x
Three consecutive terms of a geometric progression are given, as n - 2, n, and n + 3. Find the common ratio
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
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
By how much is the mean of 30, 56, 31, 55, 43, and 44 less than the median
An arc of a circle subtends an angle 30 degree on the circumference of a circle of radius 21 cm. Find the length of the arc
The graphs of the function y = x2 + 4 and a straight line PQ are drawn to solve the equation x2 +3x + 2 = 0. What is the equation of PQ?
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

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Welcome to your UTME Physics

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.


An object is moving with a velocity of 5ms-1. At what height must a similar body be situated to have a potential energy equal in value with the kinetic energy of the moving body?
The particle nature of light is demonstrated by the

The pair if physical quantities that are scalar only are


A gramophone record takes 5s to reach its constant angular velocity of 4π rads-1 from rest. Find its constant angular acceleration.
What is the acceleration between two points on a velocity-time graph which has coordinates (10s, 15m s-1) and (20s, 35m s-1)?
Which of the following consists entirely vector quantities?
A charge 50μC has an electric field strength of 360 NC-1 at a certain point.The electric field strength due to another charge 120μC. kept at the same distance apart and in the same medium is

A hammer with 10 J of kinetic energy hits a nail and pushes it 5.0 mm into a plank. Both the hammer and nail come to rest after the collision. What is the approximate average force that acts on the nail while it moves through 5.0 mm?


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


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

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]

An object moves in a circular path of radius 0.5m with a speed of 1ms-1. What is its angular velocity?


A block-and-tackle pulley system with V.R of 6 in which an effort of 80N is used to lift a load of 240N. The efficiency of the machine is 


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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?

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Welcome to your UTME Biology

The chitin in the exoskeleton of many arthropods is strengthened by
The hygrometer is used for measuring
The part of the mammalian skin involved in excretion is the
The organ which is sensitive to light in Euglena is the
During the manufacture of food by plants, which of the following organisms use energy from the sun?
The autonomic nervous system consists of neurons that control the
The stem of a typical aquatic plant usually has many
The correct base pairing for DNA is
The diseases caused by water-borne pathogens include
Plant growth can be artificially stimulated by the addition of
The role of the male adult honey bee is to
Which of the following statements is true of the interaction?
Which of the following structures is adapted for feeding in a bird of prey?
Oestrogen is a hormone that is synthesized in the
Darwin is considered the first scientist who correctly explained the theory of

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Welcome to your UTME Chemistry

The reaction between ammonia and ethyl ethanoate produces
Which of the following metals burns with a brick-red flame?

The IUPAC nomenclature for the compound above is
Which of the following gases is employed as an anaesthesia?
The minimum amount of energy required for a reaction to take place is
Milikan’s contribution to the development of atomic theory is the determination of
When calcium oxide is heated with carbon, the oxide will
Cancerous growth are cured by exposure to
Chlorophyll obtained from green leaves of plant can be composed of more than one coloured component by the technique of
A burning candle produces water and
In an endothermic reaction, if there is a loss in entropy, the reaction will
The pair of organic compounds that are isomers is
How long would it take to deposit 0.08g of copper from CuCl2 solution by passing a current of 0.5A?
In the laboratory preparation of ammonia, the flask is placed in a slanting position so as to
The coloured nature of transition metal ions are associated with their partially filled

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