UNILAG Mathematics 2021/2022 Past Questions

How many terms of the sequence 10, 12, 14,… will add up to 190?

A cone has a base radius 4cm and height 3cm. The area of its curved surface is

A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?

If y = cosx/sinx, find dy/dx

Calculate 3310₅- 1442₂

An arc subtends an angle of 50° at the centre of a circle of radius 6cm. Calculate the area of the sector formed

Simplify 2log₃6 + log₃12 - log₃16

Find the coefficient of xy in the expansion of (x-4y)(3x+2y)

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression.

Find the size of each exterior angle of a regular octagon

If 2x+3y=1 and x-2y=11 find (x+y).

A car which cost N1 million when new depreciates by about 12% in the first 6 months. Find its value after 6 months to 2 s.f.

Factorize fully px² - py² + qx² - qy.

If x= {2, 3, 6, 7, 8} and y= {6, 7, 10, 3, 17}. Find xny

The length of a rectangle is 3 times its width. If the width of the rectangle is 5 inches, what is the rectangle’s area in square inches.

The population of a village is 5846. Express this number to three significant figures

The minimum value of y in the equation $$y = x^2 - 6x + 8$$

The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is:

A bag contains 10 balls of which 3 are red and 7 are white. Two balls are drawn at random. Find the probability if none of the balls is red if the draw is without replacement

The line perpendicular to the straight line y + 3/2x - 1 = 0 has the gradient