UNN Mathematics 2008/2009 Past Questions

The average of three numbers is 32₅. If the sum of two of the numbers of 131₄, find the third number in base 6.

Three times the second term plus the seventh term of an AP is equal to the twelfth term. Find the relationship between the first term a and the common difference d.

A fence of 36m is to be built to make three sides of a rectangular compound, the fourth side being a building. Find the possible lengths of the shorter sides of the compound if the area enclosed is 160m³

Find dy/dx if y = 2x^{2 - sin2x}

A bag contains 4x First bank ATM cards, (2x - 1), UBA bank ATM cards and 3(x + 1), Zenith BAnk ATM cards. If the probability of picking a First BAnk ATM is 2/5; how many UBA Bank ATM cards are in the bag?

Express the product of 0.000128 and 0.00125 in standard form

Make x the subject of the relation y = 3 - lnx.

In the diagram below, O is the centre of the circle of radius 42cm. Find the area of the shaded portion (Take π = 22/7)

A student dropped an object from a building 100m high. If the height of the object above the ground after t seconds is 100 + 4.9t² m, how fast is it falling 3 seconds after it is dropped?

An investor who invested N6,500.00 at some simple interest rate collected a total amount of N7,800.00 after four years. How much simple interest would he have collected after two years if he had invested N9,000.00?

Differentiate (cosΦ + sinΦ)² with respect to Φ.

If the sum of the roots of the equation 2x² - 5px + 8 = 0 is five times the product of the roots, find the value of p.

Find the area of region enclosed by the curve y = 2 - x² and the line y = -x.

In the figure below, /PQ/ = /PR/ = /PS/ and

If x - 1 is a factor of 3x² - px² + 5x - 3p, find the value of p.