UNIBEN General Paper 2022/2023 Past Questions

The nth terms of two sequences are Qn = 3x2^n-2 and Um = 3x2². Find the product of Q² and U²

If the operation * on the set of integers is defined by p*q , find the value of 4*(8*32)

What is the locus of points equidistant from points P(1, 4) and Q(2, 5)

Find the distance between the points (2/3, 2/3) and (-1/3, -1/3)

Find the gradient of the line passing through the points p( 1, 2) and q(2, 5)

Which of the following statement is not true?

The following are the scores of ten students in a test of 20 marks:
16, 17, 13, 16, 8, 5, 16, 19, 17, What is the modal score?

If $$cot \theta = \frac{{a^2} - {b^2}}{2ab}$$ find cosec θ

Find all t such that $$|\begin{matrix}t-4 & 3 \\ 2 & t-9 \end{matrix}|$$

Find the identity element of the set S under the binary operation * defined by a*b = 2ab

$$^{226}_{88}Ra \rarr ^{x}_{86}Rn + \alpha$$ What is the value of x in the nuclear reaction above?

When naphthalene on heating changes from solid state directly to the gaseous state, it undergoes

Which of the following is an electrolyte?

The equation: $$^{14}_7N + ^4_2He \rarr ^{17}_{8}O + ^{1}_{1}P$$ represents

Which of the following is a general method of preparing acids?

A transformer has 300 turns of wire in the primary coil and 30 turns in the secondary coil. If the input voltage is 100 volts, the output voltage is

A 10g mass placed on the pan of a spring balance causes an extension of 5 cm. If a 15g mass is placed on the pan of the same spring balance, the extension is

The force with which an object is attracted to the earth is its

A train has an initial velocity of 44m/s and an acceleration of -4m/s². Its velocity after 10s is

A man of mass 50kg ascends a flight of stairs 5m high in 5 seconds. If the acceleration due to gravity is 10m/s², the power expended is

A wave has a frequency of 2Hz and a wavelength of 30cm. The velocity of the wave is

A boat at anchor is rocked by waves whose crest reach 100m apart and whose velocity is 25ms^-1 at what interval does the wave crest reach the boat?

Which of the following instruments has a pure tone?

The lowest note emitted by a stretched string has a frequency of 40Hz. How many overtone are there between 40Hz and 150 Hz?

Which of the following statement supports the assumption that light travels straight lines?

How far from a cliff should a boy stand to hear the echo of his clap 0.8s later? (Speed of sound in air = 330m/s)

Which of the following is not true about semi conductors?

The minimum energy necessary to remove an electron from a given atom at infinity is called......

Find the De Brogile wavelength of a 0.01kg pallet having a velocity of 10m/s and energy 66 × 10³⁴js

A step-up transformer is designed to operate from a 25v supply. If the transformer is 80% efficient, determine the current in the primary coil when the output terminals are not connected to 240V 100W lamp

The inert gases are __ in water.

The mass of one Avogadro number of helium atom is ___.

The method that cannot be used for removing permanent hardness of water is ___.

The following are the half-lives of four active isotopes. Which one of the following is the most dangerous to handle?

The heat energy produced when the human body metabolizes 1 gram of fat is ___.