UNIBEN General Paper 2019/2020 - Model Past Questions

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is the constant).

In how many ways can the word MACICITA be arranged?

The numbers 3, 2, 8, 5, 7, 12, 9 and 14 are the marks scored by a group of students in a class test. If P is the mean and Q is the median, then P+Q is

A trader bought sachet water for #55.00per dozen and sold them at #50.00. Calculate, correct to 2 decimal places, his percentage gain.

What is the length of a rectangular garden whose perimeter is 32cm and area 39cm²?

A regular polygon has 150° as the size of each interior angle. How many sides does it have?

Find the value of m if 3m + 24m = 41m

The sum of the exterior angles of an n-sided convex polygon is half the sum of its interior angles. Find n.

Which of these statements about y = √8 m is correct?

Make u the subject of the formula, E = $${\frac{m(v^2 - u^2)}{2g}}$$.

The maximum density of water occurs at a temperature of

A certain far sighted person cannot see objects that are closer to the eye than 50cm clearly. Determine the power of the converging lens which will enable him to see at 25cm.

Where can a man place his face to get an enlarged image when using a concave mirror to shave?

A transverse wave can be distinguished from a longitudinal wave by

A machine is used to lift a load of 20N through a height of 10m.• If the efficiency of the machine is 40%, how much work is done?

An observer hears an echo 1.28 seconds after blowing a whistle near a cliff. Calculate the distance of the observer from the cliff. [Speed of sound in air = 330ms^-1]

A quantity of water at 20°C is mixed with another quantity of water at 70°C. The final steady temperature of the mixture is 40°C. Determine the ratio of the mass of the cold water to that of the hot water.

A car traveling at 30ms^-1 overcomes frictional resistance of 100N while moving. Calculate the power developed by the engine. [1hp = 0.75kW]

A glass block of thickness 10cm is placed on an object. If an observer views the object vertically, the displacement of the object is

A body of mass Mkg rests on a plane inclined at an angle θ to the horizontal. The component of the weight of the body parallel to the plane is

Two equal bulbs, one containing ammonia and the other nitrogen, are opened mouth-to-mouth to each other at room temperature. The entropy in the mixture of gases is likely to

The basic assumption in the kinetic theory of gases that the collisions of the gaseous molecules are perfectly elastic implies that the

If 10.5g of lead (II) trioxonitrate (V) is dissolved in 20cm³ of distilled water at 18°C, the solubility of the solute in mol dm³ is [Pb = 207, N = 14, 0 = 16]

The shape of a graphite crystal is

Rare gases are stable because they

A gas exerts pressure on its container because

Lucas reagent is used to test for

Consider the following reaction: $${SO^{2+}_{4(aq)} + 2H^+_{(aq)} + ye^- \rarr SO^{2-}_{4(aq)} + H_2O_{(l)}}$$. The value of y in the equation is

One of the products of the thermal decomposition of sodium trioxonitrate(V) is

What happens at the cathode during electrolysis? The