POST UTME UNILORIN 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram has a mean of 25 and a s\tandard deviation of 5. Find the probability that a randomly selected value lies between 20 and 30.
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 2
A histogram shows the distribution of exam scores for a class of 50 students. The histogram has 5 bars, each representing a range of scores. The heights of the bars are 8, 12, 15, 10, and 5 units. Find the mean score of the class.
A. 10
B. 12
C. 15
D. 18
Question 3
Solve the inequality \( \frac{x}{2} - 3 > 7 \) for ( x ) in the interval ( [0, 12] ).
A. x > 20
B. x > 16
C. x > 22
D. x > 18
Question 4
Find the value of $\frac{d}{dx}\left\( \frac{1}{x^2}\right \)$ u\sing the quotient rule.
A. \frac{2}{x^3}
B. -\frac{2}{x^3}
C. \frac{1}{x^3}
D. -\frac{1}{x^3}
Question 5
A company produces two products, A and B. The profit from producing x units of A and y units of B is given by ( P(x,y) = 2x + 3y - xy ). Find the maximum profit when x = 10 and y = 20.
A. ( P(10,20) = 100 )
B. ( P(10,20) = 120 )
C. ( P(10,20) = 140 )
D. ( P(10,20) = 160 )
Question 6
A random sample of 25 students from a university had a mean height of 175 cm with a s\tandard deviation of 5 cm. If the population s\tandard deviation is 6 cm, calculate the s\tandard error of the mean.
A. 2.5 cm
B. 3.5 cm
C. 4.5 cm
D. 5.5 cm
Question 7
Solve the equation \( x^2 + 5x - 6 = 0 \) u\sing the quadratic formula.
A. x = -2
B. x = 3
C. x = -1
D. x = 2
Question 8
Find the volume of the frustum of a cone with radii 6 cm and 4 cm, and height 10 cm.
A. 120\pi
B. 150\pi
C. 180\pi
D. 200\pi
Question 9
A rec\tangular prism has a length of 10 cm, a width of 6 cm, and a height of 4 cm. Find the surface area of the prism in square centimeters.
A. 240
B. 260
C. 280
D. 300
Question 10
Find the volume of the cylinder with radius ( 4 ) and height ( 6 ).
A. 48\pi
B. 64\pi
C. 72\pi
D. 80\pi
Question 11
In the vector equation \( mathbf{r} = mathbf{a} + t mathbf{b} \), where ( mathbf{a} ) and ( mathbf{b} ) are vectors, and ( t ) is a scalar, find the vector ( mathbf{r} ) when \( mathbf{a} = 2 mathbf{i} + 3 mathbf{j} \), \( mathbf{b} = mathbf{i} - 2 mathbf{j} \), and \( t = 3 \).
A. 9\mathbf{i} + 5\mathbf{j}
B. 6\mathbf{i} + 7\mathbf{j}
C. 8\mathbf{i} + 9\mathbf{j}
D. 10\mathbf{i} + 11\mathbf{j}
Question 12
A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.
A. 15
B. 20
C. 25
D. 30
Question 13
Solve the system of equations $\begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases}$ u\sing matrices.
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 14
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x^2 + 1}} ) u\sing the chain rule.
A. ( f'(x) = \frac{-x}{\( x^2 + 1 \)^{3/2}} )
B. ( f'(x) = \frac{x}{\( x^2 + 1 \)^{3/2}} )
C. ( f'(x) = \frac{1}{\( x^2 + 1 \)^{3/2}} )
D. ( f'(x) = \frac{x^2}{\( x^2 + 1 \)^{3/2}} )
Question 15
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \).
A. x = \frac{\pi}{2}
B. x = \frac{\pi}{4}
C. x = \frac{3\pi}{4}
D. x = \frac{5\pi}{4}

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: