UNILAG Mathematics 2019/2020 Model 2 Past Questions

A line which makes an angles of 135 with the positive x-axis passes through the point (5,-3). The equation of the line is

A number P is divisible exactly by 3 and 5 and a number Q by 3, 5 and 7. The highest common factor of P and Q

A figure is selected randomly from a group of figures consisting of a rectangle, a square, a triangle, a trapezium and a rhombus. The probability that the figure selected is a parallelogram is

The rate of ice formation in the freezer compartment of a refrigerator is (0.5t) g per min; where t is the time in minutes. If there was initial 10g of ice in the ice-maker, the mass of ice present after 10 minutes is

Find the gradient of the curve at x = -1 for the function y =2x³ + 3x² - 36x + 6

Jala can paint a house in 10 hours and Dave can paint the same house in 12 hours. If Jala begins the job and does one third o it and then Dave takes over and finishes the job, what is the total time taken by them to paint the house?

If (x + y)² = (x - y)², which of the following must be true?

The derivative with respect to x of cos(2x - 3x²) is

What value of x satisfies, the equation 2(x+4) = 5x-7?

Four of the interior angles of a pentagon are equal and each is twice the fifth angle. Each of the four equal angles is

If x - 1 and x + 1 are both factors of the equation x³ + px² + qx + = 0, evaluate p and q

A photograph is to be taken of five people including a married couple. If the married couple insist on sitting next to each other, the number of different arrangements is

Four cars, A,B,C and D, finished a race the following respective times for completing the course: 6 hours, $$5\frac{11}{12}$$ hours, $$6\frac{1}{12}$$ hours and $$\frac56$$ hours. How long will it take around the finish line did car A cross the line?

The probability of obtaining an odd number in a single roll of a fair die

The distribution of boys and girls in two classes in a certain school is as follows: Boys, Girls ; Class A : 25, 15 , Class B : 20, 10 if a student is selected at random, the probability of selecting a girl is

When the length of a rectangle is doubled and its width is increased by 4m, its perimeter increases from 22m to 48m. The original length and width of the rectangle are, respectively.

A snacks shop offers 3 kinds of bread, 5 kinds of meat and three kinds of margarine flavor. Each type of sandwich has a combination of exactly 3 ingredients: Bread, 1 meat and 1 margarine flavor. How many types of sandwiches are possible?

Which of the following is this not of all ........ Number x much that x ............

George's best long jump distance increased by 10% from 2000 to 2001 and by 20% from 2001 to 2002 what percent did her best long jump distance increase from 2000 to 2002?

If the rate and principal are kept the same but the time doubled. what would be the effect on the interest?