UI Mathematics 2020/2021 Past Questions

Evaluate 8^1/3 x 5^2/3 x 10^2/3

If the four interior angles of a quadrilateral are (P +100)°, (P - 30)°, (2P - 45)° and (P+ 35)°, then P is

The smallest number such that when is divided by 8 has a remainder of 6 and when it is divided by 9 has a remainder of 7 is

What will be the value of k so that the quadratic equation kx² - 4x + 1 has equal roots?

A solid cylinder of radius 3cm has a total surface area of 36πcm². Find its height

If P344₆ - 23P2₆ = 2PP2₆, Find the value of the digit P

List all the integer values of x satisfying the inequality -1 < 2x- 5 = 5

If the standard deviation of the set of numbers 3.6, x, 7, 5 is 2, find the least possible value of x.

Simplify [(1/4) - 1]^1/2

How many terms of the series 3, -6, +12, -24 +... are needed to make a total of 1 - 2⁸?

A sector of a circle of radius 7cm has an area of 44cm². Calculate the angle of the sector, correct to the nearest degree.

Factorize 6x² - 14x - 12

If cosθ = sinθ, then θ is

If sin A = ${4/5}$ and cos B = ${12/13}$, find the value of sin (A + B)

A final examination requires that a student answer 4 out of 6 questions. In how many ways can this be done?

If the sum of the roots of the equation(x - p)(2x + 1) = 0 is 1, find the value of p.

Score	1	2	3	4	5	6
No. of students	1	4	5	6	x	2

The table above shows the scores of a group of students in a test. If the average score is 3.5, find the value of x.

Given that 2p-m = 6 and 2p + 4m = 1. Find the value of (4p + 3m).

Express the product of 0.0014 and 0.011 in standard form.

Three numbers x,y and z are connected by the relationships y = $4/9$x + 1 and z = $4/9$y + 1. If x = 99, find z

The nth term of a sequence is (-1)^n-1(2)ⁿ⁺¹, find the sum of the 2nd and 4th terms

Solve ½(x-5) ≤ 6

Given that log2 = 0.3010 and log7 = 0.8451, Evaluate log 112

P sold his bicycle to Q at a profit of 10%. Q sold it to R for N209 at a loss of 5%. How much did the bicycle cost P?

Evaluate ${xy^{2} - x^{2}y}/{x^{2} - xy}$ when x = -2 and y = 3