UI Mathematics 2015/2016 Past Questions

If y = 2x² + 9x - 35 find the range of value for which y < 0

if $x_10 = 10101_2$, find x

Calculate the curved surface area of a cone 14cm in base diameter and 24cm high

without using tables, simplfy ${ln√{216} - ln√{125} - ln√{8}}/{2(ln 5 - ln 3)}$

if N3,000 yields N900 in x years simple interest at the rate of 10% per annum, find x

If $x^3 - 12x - 16 = 0$ has x = -2 as a solution, then the equation has

If $(4)^{2x - 2}$ = 243(2.3)^5, then x has the value

Solve without using tables $log_{10}150 - log_{10}(1/2)$

A rectangular picture 7cm by 9cm is enclisoed by a frame 1/2cm wide. Calculate the area of the frame

A pyramid is constructed on a cuboid. the figure has

A cylinder of height h ad radius r is open at one end. its surface area is

in a soccer competition in one season, a club had scored the following goals:0,1,1,0,4,2,0,1,1,2,3,4,3,1,0,1,2,3,1,0. The mean, median and mode respectively

A number is selected at random between 10 and 20 both numbers inclusive. Find the probability that the number is a prime

The chances of 3 independent events X,Y,Z, occurring are $1/4,2/5,1/3$ respectively. What are the chances of X and Y only occurring

Find the mean deviation of 6,5,9,10

Five years ago a father was three times as old as his son. Now, their combined ages amount to 90 years. Thus, the present age of the father is

$(4.3)^2-(1.9)^2$ equals

Solve the simultaneous linear equations y=3x,y = x + 1

The sum of $42/3$ and $21/7$ is less than the difference between $13/5$ and $22/7$ by

Akin deposited N5,000 in the bank at the rate of 10% simple interest. After some time the total amount was two and the half times the principal. for how many years was the money ;eft in the bank?

The prime factors of 2580 are

The radius of a circle is given as 8cm subject to an error of 0.2cm. What is the percentage error in the area of the circle?

A cone with the sector angle of 30° is cut out of a circle of radius r cm. Find the base radius of the cone.

Find the distance between two towns A(15°N, 20°W) and B(15°S, 20°W) if the radius of the earth is 6,400km$(π{22}/{7})$

The variance of the scores 1,2,3,4,5 is