UNICAL Mathematics 2020/2021 Past Questions

The average age of x pupils in a class is 14 years 2 months. A pupil of 15 years 2 months joins the class and the average age is increased by one month. Find x.

If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2

A die is tossed twice. What is the probability of obtaining a total of 6 if both numbers are odd?

The fifth term in the progression 9, 27, 81, ... is

if δ, λ are the roots of equation x^2 - 5x + 7 = 0, find the value of $δ^2 + λ^2$

Factorize 4x² - 9y² + 20x + 25

Find the perimeter of an equilateral triangle where area is 72cm².

Which of the following is true about any rhombus?

A number was chosen at random from the number 1 to 30 inclusive. What is the probability that the number will be divisible by 5?

Find the product of (2√y— 3y) and (3y + 2√y)