POST UTME UI 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A histogram is constructed with 5 classes of equal width. The first class has a frequency of 10, the second class has a frequency of 15, the third class has a frequency of 20, the fourth class has a frequency of 12, and the fifth class has a frequency of 8. What is the mean of the data?
A. 12.4
B. 13.2
C. 14.1
D. 15.0
Question 2
A snail is at the bottom of a 20-foot well. Each day, it climbs up 3 feet, but at night, it slips back 2 feet. How many days will it take for the snail to reach the top of the well?
A. 18
B. 20
C. 22
D. 24
Question 3
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \).
A. -2
B. -3
C. 1
D. 2
Question 4
A car travels from point A to point B at an average speed of 60 km/h. If the dis\tance between the two points is 240 km, how long does the journey take?
A. 4 hours
B. 4.5 hours
C. 5 hours
D. 5.5 hours
Question 5
If f(x) = 3x^2 + 2x - 5, find the derivative of the function.
A. 6x + 2
B. 6x - 2
C. 3x^2 + 2
D. 3x^2 - 2
Question 6
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \).
A. x = -2
B. x = 2
C. x = -1
D. x = 1
Question 7
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 16
B. 32
C. 64
D. 128
Question 8
Find the area under the curve of the function ( f(x) = 2x^2 + 3x - 1 ) from \( x = 0 \) to \( x = 2 \).
A. 10
B. 12
C. 14
D. 16
Question 9
Find the sum of the infinite geometric series \( sum_{n=1}^{infty} \frac{1}{2^n} \).
A. 1
B. 2
C. 3
D. 4
Question 10
Solve the equation $\log_{10} \( x^2 \) = 4$.
A. $x = \pm 10$
B. $x = \pm 100$
C. $x = \pm 1000$
D. $x = \pm 10000$
Question 11
A rec\tangular solid has dimensions 5 cm, 8 cm, and 10 cm. Find the volume of the solid.
A. 400
B. 500
C. 600
D. 800
Question 12
Find the equation of the \tangent to the curve \( y = \frac{1}{x} \) at the point where \( x = 2 \).
A. y - 1/2 = -1/4\( x - 2 \)
B. y - 1/2 = 1/4\( x - 2 \)
C. y + 1/2 = -1/4\( x - 2 \)
D. y + 1/2 = 1/4\( x - 2 \)
Question 13
A rec\tangular solid has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Calculate the surface area of the solid.
A. 104 cm^2
B. 120 cm^2
C. 140 cm^2
D. 160 cm^2
Question 14
Find the volume of the solid formed by revolving the region bounded by $y = \sqrt{x}$, $y = 0$, and $x = 4$ about the $x$-axis.
A. 128\pi
B. 256\pi
C. 512\pi
D. 1024\pi
Question 15
A binary operation $\star$ is defined as $a \star b = ab + 2$. Find the value of $3 \star 4$.
A. 14
B. 16
C. 18
D. 20

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