UNILAG Mathematics 2015/2016 Past Questions

Find all real number x which satisfy inequality ⅓(x + 1) - 1 > ⅕(x - 4)

Factorize (4a+3)²-(3a-2)²

If 5^(x+2y) = 5 and 4x+y(x+3y) = 16 . Find 3(x+y)

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

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their age in form (x,y), where x> y.

Evaluate 11010 base2 - 11011 base2 + 10011 base 2 leaving your answer in base 2

If Musa scored 75 in biology instead of 57, his average mark in four subjects would be 60 .What is the total mark?

A die is thrown and a coin is tossed, find the probability that the die shows an even number and the coin shows a head.

If x² - 5x + 6 = (x- a)^2 + b, then the value of b is

In how many different ways can the letters of the word GEOLOGY be arranged in order?

The probability of an event x is 2/3 and the of another event y is 1/4 . if the probability of both x and y is 1/6, the probability of either x or y is

A reception hall is arranged such that the first row contains 10 seats and each successive row has two more seats that the preceding row. The total number of seats in the first twelve rows is

The length of a notebook 15cm, was measured as 16.8cm. Calculate the percentage error to 2 significant figures.

A worker's present salary is ₦24,000 per annum. His annual increment is 10% of his basic salary. What would be his annual salary at the beginning of the third year?

The bearing of a point P from an observe O is S37°W. The bearing of O from P is

If Paul can paint a fence in 2 hours and Fred can paint the same fence in 3 hours, Paul and Fred working together can paint the fence in

If two angles of a triangle are acute angles. the third angle

A cylinder of base radius 4 cm is open at one end. If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder.

The area of a parallelogram is 513cm^2 and the height is 19cm. Calculate the base

If one angle of a triangle is three times a second angle and the third angle is 20 degrees more than the second angle, the second angle is

In a family of 21 people, the average age is 14 years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?

A bank manager received 8 times as much salary as one of the messengers. If the sum of their salaries is N135,000, the manager's salary is

Given a regular hexagon, calculate each interior angle of the hexagon

The lengths of the sides of a right-angled triangle at (3x+1) cm, (3x - 1) cm and x cm Find the value x.

Thirty boys and x girls sat for a test. The mean of the boys' scores and that of the girls were respectively 6 and 8. Find x if the total score was 468.

Ade and Uche can do a piece of work in 18 days. Ade can do it alone in x days, whilst Uche takes 15 days longer to do it alone. Which of the following equations describes x?

What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?

A bag contains 4 white balls and 6 red balls. Two red balls are taken from the bag without replacement. What is the probability that they are both red?

If y=x/(x -3) + x/(x +4) find y when x = -2

A man invests a sum of money at 4% per annum simple interest. After 3 years, the principal amounts to N 7,000.00. Find the sum invested