POST UTME UNIOSUN 2019 Mathematics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Find the area of the region bounded by $y = x^2$, $y = 4 - x$, and the $x$-axis.
Question 2
Find the derivative of the function ( f(x) = 3x^2 - 2x + 1 )
Question 3
Find the mean of the following data set: 2, 4, 6, 8, 10.
Question 4
Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) )
Question 5
Find the value of x in the equation \( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \)
Question 6
A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 7?
Question 7
If f(x) = 3x^2 + 2x - 5, find the derivative of f(x) u\sing the chain rule.
Question 8
Solve the inequality $\frac{x-2}{x+1} > 0$.
Question 9
Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.
Question 10
A particle moves along the curve $y = x^2$ from $x = 0$ to $x = 2$. Find the dis\tance traveled by the particle.
Question 11
Determine the value of \( mathbf{a} cdot \( mathbf{b} \times mathbf{c} \ \) ) given that \( mathbf{a} = egin{pmatrix} 2 \ 3 \ -1 \end{pmatrix} \), \( mathbf{b} = egin{pmatrix} 4 \ 1 \ 2 \end{pmatrix} \), and \( mathbf{c} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \).
Question 12
Find the volume of the solid formed by revolving the region bounded by $y = x^2$ and $y = 4 - x$ about the $x$-axis.
Question 13
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
Question 14
Find the sum of the infinite geometric series \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots \).
Question 15
Solve the inequality \( 2x^2 + 5x - 3 > 0 \)
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