UNN Mathematics 2017/2018 Past Questions

Calculate the perimeter of the segment of a circle of radius 7cm if the chord subtends angle 90° at the centre.

The ratio of the sides of two similar rectangular blocks is 5:3. If the volume of the smaller block is 324cm², that of the other block is

From an observation point close to the edge of the sea, a ship is 14km away on a bearing of 130°. A second ship is 48km away on a bearing of 220°. This distance separating the ships is

The average age of the three children in a family is 9 years. If the average age of their parents is 39 years, the average age of the whole family is

How many different three-digit numbers can be formed using the integers 1 to 6 if no integer occurs twice in a number?

The rate of ice formation in the freezer compartment of a refrigerator is (2 - 0.3t)g per min; where t is the time in minutes. If there was initially 10g of ice in the ice-maker, the mass of ice present after 10minutes is

A die is thrown and a coin is tossed. Find the probability that the die shows an even number and the coin shows a head.

If two triangles are similar, then
I. the corresponding angles are equal
II. the corresponding sides are proportional
III. the areas of the triangles are in the same ratio
IV. the triangles are congruent

Which of the above statements are CORRECT?

A binary operation * is defined over the set of real numbers such taht m*n = m + n + 2 and m.n = m - n + 1. Which of the following equations is not true?

If 2 cos²Θ = -cosΘ and 0 < Θ < 180°, then Θ is

The coordinates of the vertices P and Q of a square PQRS are P = (1, 3) and Q = (5, 1). The coordinates of R could be

When a polynomial f(x) is divided by 2x - 3, the quotient is x² - x + 2 and the remainder is -1. Find f(x).

Divide 2434₆ by 42₆

What are the integral values of x which satisfy the inequality -1 < 3 - 2x ≤ 5?

If 6log_x2 - 3log_x3 = 3log₃0.2, find x.