UNIBEN General Paper 2021/2022 Past Questions

Find the value of log₁₀1/40 given that log₁₀4 = 0.6021

Find the value of (4^1⁄4)⁶

Simplify as much as possible $$1 + \frac{\frac2{27}}{1 - {\frac5{5 + {\frac25}}}}$$

Three numbers x,y and z are connected by the relationships y = $$\frac49$$x + 1 and z = $$\frac49$$y + 1. If x = 99, find z

Find the product of (2√y - 3y) and (3y + 2√y)

A ladder 9m long, leans against a vertical wall making an angle of 64° with the horizontal ground. Calculate, correct one decimal place, how far the foot of the ladder is from the wall.

If the second fourth terms of a geometrical progression are 8 and 32 respectively. What is the sum of the first four terms?

If 8^x/2 = 2^3/8 x 4^3/4, the value of x is

Without using tables, the numerical value of log₇49 + log₇(1/7) is

If x² - 6x + n = 0 has coincident roots, the value of n is

A person starts driving and travels 3km east to a store. The person then turns around and travels 1 km west to another store. Finally, the person travels 2 km East, back to the starting point. What distance has this person travelled?

A 2m long pendulum swings back and forth 6 times in 17 seconds. What is the period of the pendulum?

Which of the following always occurs when a light reflects off a mirror

Two positively charged objects separated by a large distance. One of the positively charged objects is replaced by a negatively charged object, and the two objects are moved closer to each other. Which of the following occurs in this situation?

Which of the following has the greatest momentum

Write $$\frac{14}{\sqrt5-\sqrt3}$$ in the form $$a \sqrt5 - b \sqrt3$$ where a and b are rational.

In the relation log_xy = z, Write x in terms of y and z

Solve the equation $$\sqrt{x+7}$$ = x - 5

Let y = $$\frac{4x+3}{2x-3}$$ write x as a function of y

The second and fifth terms of geometric progression are 6 and -48 respectively. The first term is.

If a gas occupies a volume of 1.50dm³ at 25°C and 1 atm at 100°C, what will it occupy?

To double both volume and pressure, to what temperature must a gas at 273K be heated?

The relative molecular mass of a gas is 2Y. What is Y

Which of these is common to the alloys Bronze and Brass?

The atomicity of ozone is

Which of the following metals is purified commercially by electrolysis?

The gas that is most useful in protecting humans against solar radiation is

The type of iron that is best suited for welding is

Which of the following noble gases is commonly found in the atmosphere?

Which of the following is not an alkali?

A perfect emitter or absorber of radiant energy is a

All the statement below about water are correct except

A radio-active element has a half-life of 4 days. The fraction that has decayed in 16 days is

Thermionic emission is the process where

A bullet of mass 20g travelling horizontally at 100m/s, embeds itself in the centre of a block of wood 1kg which is suspended by light vertical string 1m, calculate the velocity