UNIBEN General Paper 2013/2014 Past Questions

Find the possible values of tan ½x if tan x= 2/3

If tan(x+45)° = 2, find without using tables the value of tan x

Without using table evaluate 1+tan 60° tan 30°/tan 60° + tan 30°

If sin θ = 15/17, where θ is acute, find tan θ

The turning point on the curve y =3x^2 - 9x + 12 is

Find the area bounded by curve y = x(2-x), the x-axis, x=0 and 2

4.5 and 5 are respectively the averages of two sets of numbers 3, 4, x, y and 2x, y, 4, 3. Calculate the values of (x, y)

Factorize 14!10(13!)

The probability of an event P is 3/4 while that of another event Q is 1/6. If the probability of both P and Q is 1/12. What is the probability of either P or Q?

X and Y are two events. The probability of X or Y is 0.7 and the probability of X is 0.4. If X and Y are independent, find the probability of Y

The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30°. If TU=54m, how high is T above the horizontal ground?

Calculate and correct to 2 significant figure, the length of arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle(Take π = 22/7)

Find the equation of a straight line of gradient 2 through the point (1, 4)

A radio waves have a velocity of 3x10⁸ m/s. A radio station sends out a broadcast On a frequency of 800kHz. Find the wave length of the broadcast.

A wave of frequency 10Hz forms a stationary wave pattern in a medium where the velocity is 20cm/s. The distance between adjacent node is

A piano wire 0.5 m long has a total mass of 0.01 kg and is stretched with a tension of 800N. Calculate the frequency of the wire when it sounds its fundamental note

A concave mirror has a focal length of 12cm. At what distance from the mirror should an object be placed to give an image exactly as the object

The operation of optical fibre is based on the principle of

For the correction of myopic defects in human eye we require

A radioactive sample initially contains atoms. After three half lives the number of atoms that disintegrated is

Which of the following are produced after a nuclear fusion process? I. One heavy nucleus, II. Neutrons, III. Proton, IV. Energy

Which of the following is correct about capacitor connected to an A. C. source?

Three resistors Are connected in parallel to a voltage supply of 5V. Calculate the current in the 3Ω Resistor

Three resistors 2Ω 3Ω And xΩ Are connected in parallel. If the total resistance of the connection is 0.5Ω, find the value of the unknown resistor

A working electric motor takes a current 1.5 A when the P.d across it is 250V. If its efficiency is 80%, the power output is

Which of these is the correct expression for the force experienced by a charge undergoing motion?

A herdsman yelling out to a fellow herdsman heard his voice reflected by a cliff 4s later. What is the velocity of sound in air if the cliff is 680m away?

One of the following readings represent the measurement of the length of a metal rod using vernier calipers. Taking the reading accuracy into consideration, the most likely one is

The minimum volume of oxygen required for the complete combustion of a mixture of 10cm³ of Co and 15cm³ of H₂ is

Which of the following substances is NOT a homogenous mixture?

The characteristic reaction of caus only a compounds is

How many grammes of bromine will be required to completely react with 10 grammes of propyne?

Which of the following set of elements has the same outer most electronic configuration

Which of the following periodic properties decreases down the group?

Which of the following is an ore of Aluminum

What is the value of n in the equation? XO^-₄ + 8H⁺ + ne → X²⁺ + 4H₂O

Which of the following ions is a pollutant in drinking water even in trace amounts

1.1g of CaCI₂ dissolved in 50cm³ of water caused arise in temperature of 3.4°C. The heat of reaction. A for CaCI₂ in kJ per mole is (Ca=40. Cl = 35.5, specific heat of water is 4.18JK^-1)

Helium is often used in observation balloons because it is

Which of the following solution will has a pH< 7?

General Yakubu Gowon create 12 States in Nigeria on .

Which of these countries is NOT a member of the Common wealth or Nations?

Nigeria first Senate President was

What percentage of the world Earthquakes and volcanicity occur around the 'Circum-Pacific Ring of Fires'?

In which of the following layers of the Atmosphere are transmission of radio waves possible?

In Karst Regions, lime stone pavements called grikes are formed through the process of