POST UTME NILE UNIVERSITY 2020 Mathematics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Find the volume of the frustum of a cone with height \( h = 10 \) cm, and radii of the bases \( r_1 = 4 \) cm and \( r_2 = 6 \) cm:
Question 2
A number is 5 times the sum of its digits. If the number is 3-digit, find the number.
Question 3
Determine the mean of the following dataset: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
Question 4
A polynomial function f(x) has zeros at x = -2, x = 3, and x = 5. If f\( -1 \) = 10, find the value of f(2).
Question 5
Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 2.
Question 6
Find the area under the curve \( y = x^2 - 4x + 3 \) from \( x = 0 \) to \( x = 2 \):
Question 7
Convert the decimal number 456.789 to a \fraction in its simplest form.
Question 8
Solve for x in the equation: 2x^2 + 5x - 3 = 0.
Question 9
A bakery sells 250 loaves of bread per day. If each loaf \costs ₦120, how much money does the bakery make in a day?
Question 10
Two events, A and B, are indep\endent. If the probability of event A is 0.4 and the probability of event B is 0.6, what is the probability that both events occur?
Question 11
Solve the system of linear equations \( \begin{cases} x + y = 2 \ 2x - 3y = - 3 \end{cases} \):
Question 12
A die is rolled twice. What is the probability that the sum of the two numbers is 7?
Question 13
Solve for x in the quadratic equation \( x^2 + 5x + 6 = 0 \):
Question 14
A circle has a radius of 4 cm. Find the area of the circle.
Question 15
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
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