2014/2015 UNIZIK Post-UTME

Each interior angle of a polygon is 7 times the corresponding exterior angle. How many sides has the polygon?

A chord of a circle of radius, 6cm subtends angle 159⁰ at the centre of the circle. Find the areas of the minor segment correct to three significant figures.

$(\mathrm{\pi }=\raisebox{1ex}{$22$}\!\left/ \!\raisebox{-1ex}{$7$}\right.)$

A goat is tethered to a pole by a rope 21cm long. Calculate the area of grazing available to the goat.

What is the value of

$\cos (–{840}^0)?$

A cyclist starts from a point P and moves on a course 0600 for 72metres. He then moves 26metres southwards. How far north is he now from point P?

$\mathrm{The} \mathrm{gradient} \mathrm{of} \mathrm{the} \mathrm{curve} \mathrm{y}={\mathrm{x}}^2+4\mathrm{x} \mathrm{at} \mathrm{the} \mathrm{point} (2,10) \mathrm{is}$

$\mathrm{If} \mathrm{y}={\mathrm{x}}^{–\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}, \mathrm{then} \raisebox{1ex}{$\mathrm{dy}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{dx}$}\right. \mathrm{is}$

$\mathrm{The} \mathrm{turning} \mathrm{point} \mathrm{on} \mathrm{the} \mathrm{curve} \mathrm{y}=4\mathrm{x}–{\mathrm{x}}^2 \mathrm{is} \mathrm{a}$

$\mathrm{Evaluate} (\cos 3\mathrm{x}+\sin 4\mathrm{x})\mathrm{dx}$

$\mathrm{Evaluate} {\int }_1^6(2\mathrm{x}+3)\mathrm{dx}$

In a class of 80 students, there are 8 boys to every 2 girls. If this information is represented on a pie chart, what angle corresponds to the girls?

The bar chart is a series of bars or columns with each height proportional to the

Find the median of 2,3,4,7,6,8,9,2,1

Given that standard deviation of a set of data is 3.6, what is the variance of the data

The value of ⁿC_r is the same as the value of

How many arrangements are there of the letters of the word LTTER?

A fair die is thrown once. The probability of the result being a prime number is

A bag contains 12 similar balls 5 of which are yellow, 4 red and the rest black. If a ball is picked at random, what is the probability that it is not black?

The cytoplasm in unicellular organisms is made up of

Bryophytes are different from flowering plants because they

The pair of organisms that belong to the phylum coelenterate is

Most insects communicate by means of a mixture of chemicals known as

An organism with a two-chambered heart is

Among the vertebrates, mammals are generally the most successful because they

The layer of epithelial tissue in the intestine is

The most convincing evidence of evolution from embryology is the presence of

An example of a vestigial structure in the human body is

The part of the brain that coordinate muscular movement and maintains body balance is the

Secondary growth in plans result in an increase in

When the concentration of solutions in a cell and its surrounding environment is equal, this condition is said to be

The liquid that serves as a lubricant to the mammalian joints is the

When seedlings are transplanted during hot afternoons, they wilt because

Which of the following is an autotrophic mode of nutrition?

The excretory products in plants include

The structure that forms the pericarp of a fruit is the

When a fly lands on the leaf of mimosa plant, the type of movement the plant exhibits is

Muscle fatigue during vigorous exercise occurs as a result of the

Which of the following provides the mammalian embryo with nutrients before the formation of the placenta?

The essential parts of a flower consist of the

The kidney is connected to the bladder by the

Which of the following colours has the least speed when light passes through a dispersive medium?

The image formed on the retina of a normal eye is

A man is myopic with a far point of 2m. What will be the prescription for the eye glasses he will use?

Which of the following colours of light will give white light on mixing

Calculate the electric field strength at a point 0.05m from a point charge of magnitude 3.14×10^-6C in a medium of permittivity 2.5×10^-11Fm^-1

The simplest instrument used in detecting electric charges is the

Calculate the capacitance of a capacitor which stores 2.5×10^-3J energy when a potential difference of 50V is applied across it.

The major defects of a simple cell are

Which of the following is a secondary cell?

A household refrigerator is rated 100W. What is the cost of operating it for 20 days if electricity costs 50k per kwh?

The force exerted by a current carrying conductor on another is owing to

Given that a transformer has a secondary to primary turns ratio of 5, what is its output voltage if it is connected to a 120V mains?

The induction coil works on the same principle as

The rate of energy transfer between the circulating charge and the circuit is the

Calculate the rms value of an alternating e.m.f. of peak value 220V.

How long will it take to electroplate 3.00g of silver onto a brass casing by the use of a steady current of 15.0A? [e.c.e. of silver =1.1180×10^-6kgC^-1]

After two hours, a radioactive substance of half-life 20mins. Decayed to 2.5g, what was its original mass

${}_1^2\mathrm{H}{+}_1^3\mathrm{H} \to { }_2^4\mathrm{He}+\mathrm{X}+\mathrm{Energy}$

The particle X in the fusion reaction above is

In a fission of uranium isotope, a mass defect of 0.25a.m.u. is observed. Calculate the binding energy of the isotope. [1a.m.u.=931MeV, 1eV=1.6×10^-19J]

An atomic nucleus consists of protons and neutrons. The energy equivalent of the mass difference between a nucleus and its constituents is the

Electrons are more diffracted than protons under the same conditions owing to their

What type of impure atom must be added to a pure semiconductor in order to obtain an n-type semiconductor?

In bipolar transistors, conduction is by

In a power supply circuit, the component that acts as a rectifier is the

The volume of 0.1moldm-3 hydrochloric acid needed to neutralize 20.0cm³ of 0.2moldm^-3 sodium hydroxide solution is

The criterion for a reversible process is

The melting of ice at room temperature is

In the preparation of dry oxygen, the product is collected over mercury and not by displacement of air because oxygen

Which of the following processes is used in the extraction of a less electropositive metal?

When sulphur (IV) oxide gas is bubbled into iron (III) chloride solution, the colour changes from

Aluminum is a good roofing material because it

Which of the allotropes of tin exists at room temperature?

The gas responsible for most fatal explosions in coal mines is

The reaction of sodium peroxide with ice cold water can be represented by

Ammonia is highly soluble in water because it is

A gas with an irritating smell which also turns moist blue litmus paper red and then bleaches it is

Hydrogen is used for filling balloons because it

3Fe(s) + 4H₂O(g) ⟶ Fe₂O₄(s) + 4H₂(g)

In the reaction above, the forward reaction approaches completion with

Which of the following represents ethylethanoate?

On exposure to air, the sour taste developed by alcoholic drinks is due to the formation of

Which of the following carbohydrates can be found in mammalian milk?

Calculate the molar mass in gmol^-1 of an alkyne represented by C_nH₁₆

Which of the following is a naturally occurring giant molecule?

The major product obtained from the alkaline hydrolysis of bromoethane is

An organic acid that can be decarboxylated to benzene when strongly heated with soda lime is

The ­_____________ harmattan was really severe

Her account of the event is not true; she just _____________

Ejike should’t have spoken so harshly,___________?

Maimuna is the _____________ girl in her class

The boy ate too ____________ mangoes, and so he had a stomach-ache

The visitors didn’t knock before they entered the office __________?

This is an _____________ from a famous book

A strip of dense woodland is on _________ side of the stream

I’d give up that dangerous habit if I _________ you

The church bell ____________ in celebration

When my uncle collected the loan, he bought ______________-

The older many people grow, the _______________ they become

A bent mirror always gives a ________________ reflection

I will add a brief ___________ to my letter

I will add a brief ______________ to my letter