UNILAG Mathematics 2019/2020 Model 1 Past Questions

Let P be a probability function on set S, where S (a1, a2, a3, a4). Find P(a₁) if P(a₂) = $$\frac13$$, P(a₃) = $$\frac16$$ and P(a₄) = $$\frac15$$

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

The equation of the line which passes through the point (-1,3) and is parallel to the line 2x + 3y = 5 is

Which of the following figures has the greatest of lines of symmetry?

Three guests X,Y and Z arrive in that order for a dinner party. If guests are served randomly, the probability that the three guests will be served in the sequence of their arrival is

A group of 40 adults read either newspapers or magazines. If 20 read newspapers and 35 read magazines, the probability that one of them reads both newspaper and magazines is.

The graph of f(x) = x² - 5x + 6 crosses the x asix at the points.

The probability that the two dice will show the same number is

Express the product of 0.0011 and 0.014 in standard form

The point (x,y) at which the curve y = 3x² + 4x + 1 has a gradient of 10 is

The base diameter of a cylinder is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top.

A car dealer paid N240.000 for a car. He added ⅕ of this amount to what he paid in order to determine his selling price. What was his selling price?

P is a probability function of an exhaustive set S = (w,x,y,z), if P(x) = P(y) = ⅓, P(z) = $$\frac16$$ then P(w) is

If m > n, then which of the following is not correct for all values of m and n?

Two cards are drawn, one after the other, with replacement from a pack of 52 cards containing four aces and four queens. The probability that the both aces or both queens is

A restaurant has 10 booths that will seat up to 4 people each. If 20 people are seated in booths, and no booths are empty, what is the greatest possible number of booths that could be filled with 4 people.

The cost of 2 orange drinks and 3 biscuits is N4.60. If the cost of 2 biscuits is N2.20, what is the cost of 2 orange drinks?

If 5 times a number n is subtracted from 15, the result is negative. Which of the following gives the possible value(s) for n?

How many ways are there to assign 3 people to 5 desks, with no more than one person to a desk?

Determine the value of base x if 343_x - 244_x = 111111₂