UNIZIK Mathematics 2009/2010 Day 1 Past Questions

If Okoye scored 75 in Biology instead of 57, his average mark in four subjects would have been 60. What was his total mark?

Divide the LCM of 48, 64 and 80 by their H.C.F.

Find the smallest number by which 252 can be multiplied to obtained a perfect square:

Ekop deposited N 150.00 in the bank. At the end of 5 years the simple interest on the principal was N55,00. At what rate per annum was the interest paid?

A number of pencils were shared out among Chike, Tunde and Ifeoma in the ratio of 2:3:5, respectively. If Chike got 5, how many pencils were shared out?

In 1984, Ike was 24 years old and his father was 45 years old. In what year was Ike exactly half his father's age?

A regular polygon of n sides has 160° as the size of each interiors angle. Find n:

An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs N2.04 to paint one square meter.

Of the nine hundred (900) students admitted in a Unity school in 2005,the following was the distribution by state of origin: Anambra (185), Imo (135), Kaduna (90), Kwara(110), Ondo (155),Oyo (225). In a pie chart drawn to represent this distribution, the angle subtended at the centre by Anambra State is

Find the median of the numbers 89,141,130, 161, 120,131,131,100,108 and 119:

Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length:

A rectangular lawn has an area of 1815 square yards. If its length is 50 meters, find its width in meters, given that 1 meter equals 1.1 yards.

If the length of a square is increased by 20%, while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle to the area of the square?

Peter's weekly wages are N20.00 for the first 20 weeks and N36.00 for the next 24 weeks. Find his average weekly wage for the remaining 8 weeks of the year, if his average weekly wage for the whole year is N30.00

By selling 20 oranges for N1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for N1.10:

Fours boys and ten girls can cut a field in five hours. If the boys work at 5/4 the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?

A farmer planted 5000 grains of maize and harvested 5,000 cobs ,each hearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

If the heights of two circular cylinders are in the ratio of 2:3 and their base radio are in the ratio of 9:8, what is the ratio of their volumes?

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number:

Convert 3.1415926 to five decimal places.