UNILAG Mathematics 2018/2019 Model 2 Past Questions

The derivative of cosec x is

A university undergraduate has to take 5 courses from pool of 4 mathematics and 3 physics courses In how many ways can he select his courses if he insists on taking all four mathematics course.

A school boy lying on the ground 30m, away from the foot of a water tank tower observes that the angle of elevation of top of the tank is 60°. Calculate the height of the water tank.

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

sinbcotb is equal to

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

Which of the following is an equation of a line that will never intersect with the line has the equation

How many different three-digit numbers can be formed using the integers 1 to 6 if no integer occurs twice in a number?

Box contains 2 green and 3 red balls of identical size. If two balls are picked randomly, one after the other, without replacement, the probability of picking two balls of different colours is

The greatest value of an integer x which satisfies the inequality 2 - 4x > 15 is

Find the area bounded by the curve y = 3x² - x + 1, the ordinates x = 1 and x = 3 and the a-axis

Determine, correctly to the nearest kobo, the monthly installment on a loan of N14,000 at 6% for 20 years

If 25 percent of a certain number is 36, what would 40 percent of the same number be?

The length of a rod was given as 35cm correct to the nearer centimeter. The actual length within the range 5mm

A cylindrical metal rod of radius 10cm and length 35cm is to be melted down and recast into circular cones of base radius 7cm and height 15cm, what is the maximum number of cones which can be cast from the original material is

After polling a class of 20 music students by a show of hands, you find that 8 students play the guitar and 9 students play the piano. What is the minimum number of students in this music class who play both the guitar and the piano?

Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 5 red identical balls. The probability that all three balls are the same colour is

Which of the following sets of numbers can be the length of the sides of a triangle

A number is selected randomly from the set of integers 1 to 20 inclusive, the probability that the number is either a multiple of 3 or a multiple of 5 is

Which of the following pair is the solution to the equation 2y+x=5 and -2y+x-9?