UNILAG Mathematics 2020/2021 Model 2 Past Questions

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

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

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

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

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?

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

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?

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.

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

Two distinct sectors in the same circle subtend 100° and 30° respectively at the centre of the circle. Their corresponding arcs are in the ratio.

The letters of the word "MATRICULATION" are cut and put into a box. One letter is drawn at random from the box. Find the probability if a vowel is drawn.

Find x if (X_base2)² = 100100_base2

Find the number of terms in arithmetic progression given that the first and last terms are a and 37a respectively and that its common difference is 4a.

Assuming that log_e4.4 = 1.4816 and log_e7.7 = 2.0142, then the value of log_e 7/4 is.