2009/2010 UNIBEN General Paper Post-UTME

If  and β are the roots of the quadratic equation x²-10x + 2 =0, find the value of

A bag contains three red and five white balls of equal sizes. Two balls are picked at random one after the other without replacement. What is the probability that both balls are of the same colour?

Two cards are picked at random from a pack of 52 playing cards, one at a time with replacement. What is the probability that the two cards are both spades and both hearts.

Rationalize 3/9-√80

Simplify  $\left(\frac{\sqrt{5}}{\sqrt{5–1}}\right)+\left(\frac{\sqrt{5}}{\sqrt{5–1}}\right)$

6. A binary operation* is defined on R, the set of real numbers by

x*y=xy + x + y

$\mathrm{Simplify} \frac{3–2\sqrt{2}}{3+2\sqrt{2}}$

The numerator of a fraction is 5 less than the denominator. If 6 is added to the numerator and 4 to the denominator the fraction is doubled. What is the fraction?

The total of four numbers is 1214_five. What is their average, expressed in base five?

In how many ways can a referee choose three footballers out of twelve footballers to represent a school competition.

The n^th term of the sequence 2, 6, 18, 54, …… is 4374. Find the number of n

In a class of 50 students, 30 speak Edo while 19 speak Yoruba, and 7 students speak both languages. How many students speaks neither of the languages?

The sum of digits of a two digit number is 13 and the units is 3 less than the tens digit. What is the number?

Find the quadratic equation whose roots are (1-√13) and (1+√13)

$\left(\frac{1}{x–3}\right)–3\left(\frac{x–1}{x^2–3}\right)$

A labile salt dissolved in water can be separated by _____.

The atomicity of ozone is _______.

The nucleus of an atom is composed of __________.

The following are metals except ________

Which of the following statements is true?

The half life of an element is 12hrs. If the initial mass is 50g. What mass will be left after 2days?

Water was added to sodium dioxonitrate (V) salt in a test tube and the test tube became cold. The reaction is ________.

Which of the following is an alloy of aluminium?

Which of the following is an alkaline?

Pick out the odd compound

Which of the following statements is correct?

Which of the following zones is NOT part of a non-luminous Bunsen flame?

Which of the following is a secondary air pollutant?

Ammonia can be obtained from diammonium tetraoxosulphate(VI) by heating it with

Which of the following compounds is soap less detergent?

A motor-car is uniformity retarded and brought to rest from a speed of 90km/h in 10s. Find its acceleration.

Determine the quantity of heat in joules given out when a piece of iron of mass 40g and specific heat capacity 460Jkg^oC cools from 70^oC to 40^oC

Which of the following is not characteristic of the image formed in a plane mirror?

The angle between a plane mirror and an incident ray is 35^o. Find the angle of reflection.

Which of the following properties of radiations from radioactive substances is FALSE?

A machine with a velocity ratio of 6 requires 800J of work to raise a load of 640N through a vertical distance of 1m. Find the efficiency of the machine.

Which of the following is NOT True about mercury as a thermometric liquid?

A stone whirled at the end of rope 35cm long, makes 15 complete revolutions in 4 seconds. Find the angular velocity in radians per second.

An object of mass 7kg is moving at a constant velocity of 20ms^-1_. Determine the kinetic energy.

Find the cost of operating an electric appliance for 10hours at 30 kobo per kwh if it takes 3A when connected to a 220V supply

Which of the following is not a scalar quantity?

Find the resultant of two forces 6N and 5N which are inclined to each other at 30^o.

Which of the following is NOT property of waves?

An object placed 18cm in front of a convex mirror produced an image 6cm behind the mirror. Find the focal length of the mirror.

A battery of e.m.f 12 volts and internal resistance 1.2 ohms is connected to an external resistance of 4 ohms. Find the current flowing in the circuit.