UNIPORT Mathematics 2012/2013 Past Questions

The length of the parallel sides of a trapezium are 9cm and 12cm. if the area of the trapezium is 105cm², find the perpendicular distance between the parallel sides

Seven students are to have a jolly good time together. If the are seated, find the number of ways they are to be chosen.

A rope of length 11cm is folded to form a sector, correct to the nearest degree.

A man obtained N48,000.00 in exchange for $600.00 what is the equivalent of one dollar to the naira in the exchange?

Find the length of an arc of a circle having radius 66cm and subtends an angle of 60° at the circle centre.

x varies directly as the square of y and inversely as p when y = 5, x = 8 and p = 10. Find the value of x when y = 3 and p = t/3

Express the product of 0.00267 and 0.00486 in standard form

Let the probability function on set S, where$ S = [a^1, a^2, a^3, a^4]$ Find $P(a_1)$ if $P(a_2) = 1/3, P(a) = 1/3 $and $P(a_4) = 1/5$

In an election there were four candidates, 5/6 of the electors voted for the winner. The runner-up received 4/7 of the remaining votes. The third candidates received twice the votes of the fourth candidates. if the winner received 3021 cotes more than the runner-up, how many electors voted?

During two years in a school, 7/8 of the students had malaria, 3/4 had catarrh and 5/6 had neither. What fraction of the school had both malaria and catarrh?

3/4 of a class of 32 students study English and 3/8 study Mathematics. Every student studies at least one of these subjects. What fraction of the class studies Mathematics but not English?

Water flows through 3cm diameter pipe at the rate of 3metre/second. How many cm³ of water flow through the pipe in one second

The product of two numbers is 12. The sum of the larger number and twice the smaller is 11. Find the two numbers.

Divide 1324₈ by 20201₃ and leave your answer in binary numeral

A city B is 205km from a village C on a bearing 0350. How far is B east of c?

If two graphs y = px² + q and y = 3x^x - 1 intersect at x = 2, find the value of p in terms of q