POST UTME UNILORIN 2024 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A vector \vec{a} = 2\hat{i} + 3\hat{j} + 4\hat{k} and a vector \vec{b} = -1\hat{i} + 2\hat{j} - 3\hat{k}. Find the cross product of \vec{a} and \vec{b}.
A. \hat{i} - \hat{j} + \hat{k}
B. \hat{i} + \hat{j} + \hat{k}
C. \hat{i} - \hat{j} - \hat{k}
D. \hat{i} + \hat{j} - \hat{k}
Question 3
A particle moves in a straight line with a velocity of 5 m/s. Find its acceleration after 2 seconds, given that its initial velocity is 2 m/s.
A. 1.5 m/s^2
B. 2 m/s^2
C. 2.5 m/s^2
D. 3 m/s^2
Question 4
A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Find the volume of the prism in cubic centimeters.
A. 120
B. 160
C. 200
D. 240
Question 5
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 6
Find the equation of the \tangent to the curve y = x^2 + 2x - 3 at the point (1, 2).
A. y - 2 = 4\( x - 1 \)
B. y - 2 = 2\( x - 1 \)
C. y - 2 = 3\( x - 1 \)
D. y - 2 = 5\( x - 1 \)
Question 7
Find the value of $\sin(2x)$ if $\sin(x) = \frac{3}{5}$ and $\cos(x) = \frac{4}{5}$.
A. \frac{24}{25}
B. \frac{16}{25}
C. \frac{12}{25}
D. \frac{20}{25}
Question 8
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 9
Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 1.
A. \frac{1}{2}
B. \frac{3}{2}
C. \frac{5}{2}
D. \frac{7}{2}
Question 10
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 0
D. 1
Question 11
Find the volume of the solid formed by revolving the region bounded by the curves y = x^2, y = 0, and x = 2 about the x-axis.
A. 32\pi
B. 64\pi
C. 128\pi
D. 256\pi
Question 12
A rec\tangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Calculate its volume.
A. 400 cm^3
B. 500 cm^3
C. 600 cm^3
D. 800 cm^3
Question 13
A sphere has a radius of 6 cm. Find the volume of the sphere in cubic centimeters.
A. 904.78
B. 904.80
C. 904.82
D. 904.84
Question 14
Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.
A. 48\pi cm^3
B. 64\pi cm^3
C. 80\pi cm^3
D. 96\pi cm^3
Question 15
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = 2
C. x = -1
D. x = 1

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