UNIZIK Mathematics 2008/2009 Day 1 Past Questions

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?

Simplify: 52.4 — 5.7 — 3.45 —1.75

A trader bought goats for N4,000.00 each. He sold them for N180,000, at a loss of 25%. How many goats did he buy?

A circle with a radius 5cm has its radius increasing at the rate of 0.2cm/min. What will be the corresponding increase in the area?

A cinema hall contains a certain number of people. If 22 1/2% are children ,47 1/2 are men and 84 are women, find the number of men in the hall

X varies directly as the product of U and V and inversely as their sum. If X = 3 when U = 3 and V = 1, what is the value of X if U = 3 and V = 3?

The length a person can jump is inversely proportional to his weight. If a 20kg person can jump 1.50m, find the constant of proportionality

Find the value of x and y respectively if 3x — 5y + 5 = 0 and 4x — 7y + 8 = 0:

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm3, find the distance between the parallel side.

An aeroplane flies due north from airports P to Q and then flies due east to R. If Q is equidistant from P and R, find the bearing of P from R.

An arc of a circle sustain an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc. (π = 22/7)

By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24, 21 and 16 is

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. If the smallest sector represents N28.00, how much is the largest sector?

Find the number of committees of three that can be formed consisting of two m woman from four men and three women:

A bag contains 5 black balls and 3 red balls. Two balls are picked at random without replacement. What is the probabiltiy that a black and a red balls are picked?

If x is the addition of the prime numbers between 1 and 6, and y the HCF of 6, 9, 1. Find the product of x and y

A 5.0g of salt was weighed by Ikechukwu as 5.1g. What is the percentage errror?

Two brothers, John and Tim, own a store. The ratio of John's share to Tim's is 11:9. Later, Tim sells 2/3 of his share to John for N720.00. Find the value of the store

Four interior angles of a pentagon are 90° - X°, 90° + X°, 110° - 2X°, (110 + 2X)°. Find the fifth interior angle