POST UTME EKSU 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circle has a radius of 5cm. Find the area of the circle in square centimeters.
A. 50
B. 75
C. 100
D. 125
Question 2
A solid right circular cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.
A. 64\pi
B. 128\pi
C. 256\pi
D. 512\pi
Question 3
A right-angled triangle has sides of length 3cm, 4cm, and 5cm. Find the area of the triangle in square centimeters.
A. 6
B. 12
C. 18
D. 24
Question 4
Determine the equation of the circle with center at (2, 3) and radius 4.
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )
D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 9 )
Question 5
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score will be between 50 and 70?
A. 0.34
B. 0.68
C. 0.85
D. 0.95
Question 6
Find the sum of the first 10 terms of the geometric series \( 2x^2, 4x^3, 8x^4, ldots \).
A. \( 2x^2 + 4x^3 + 8x^4 + ldots + 2048x^{21} \)
B. \( 2x^2 + 4x^3 + 8x^4 + ldots + 2048x^{22} \)
C. \( 2x^2 + 4x^3 + 8x^4 + ldots + 2048x^{23} \)
D. \( 2x^2 + 4x^3 + 8x^4 + ldots + 2048x^{24} \)
Question 7
A histogram of exam scores has a mean of 70 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 80?
A. \( P\( 60 < X < 80 \ \) = \frac{1}{2} )
B. \( P\( 60 < X < 80 \ \) = \frac{3}{10} )
C. \( P\( 60 < X < 80 \ \) = \frac{5}{10} )
D. \( P\( 60 < X < 80 \ \) = \frac{7}{10} )
Question 8
Solve the system of equations \( x + y = 2 \) and \( x - y = 1 \)
A. x = 1, y = 1
B. x = 1, y = 2
C. x = 2, y = 1
D. x = 2, y = 2
Question 9
Find the equation of the line pas\sing through the points ( (2,3) ) and ( (4,5) )
A. y = 2x - 1
B. y = 2x + 1
C. y = -2x + 1
D. y = 2x - 2
Question 10
Find the volume of the frustum of a cone with height \( h = 10 \) cm, lower base radius \( r_1 = 5 \) cm, and upper base radius \( r_2 = 3 \) cm.
A. 100π cm³
B. 150π cm³
C. 200π cm³
D. 250π cm³
Question 11
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 2).
A. ( 6 )
B. ( 9 )
C. ( 12 )
D. ( 15 )
Question 12
Find the equation of the circle with center (2, 3) and radius 4.
A. \( x - 2 \)^2 + \( y - 3 \)^2 = 16
B. \( x - 2 \)^2 + \( y - 3 \)^2 = 4
C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9
D. \( x - 2 \)^2 + \( y - 3 \)^2 = 25
Question 13
Find the surface area of the sphere with radius 5 cm.
A. \( 4 pi \( 5^2 \ \) )
B. \( 2 pi \( 5^2 \ \) )
C. \( pi \( 5^2 \ \) )
D. \( \frac{1}{2} pi \( 5^2 \ \) )
Question 14
A geometric sequence has a first term of 2 and a common ratio of 3. What is the sum of the first 5 terms?
A. \( 2\( 1 + 3 + 3^2 + 3^3 + 3^4 \ \) )
B. \( 2\( 1 + 3 + 3^2 + 3^3 + 3^4 + 3^5 \ \) )
C. \( 2\( 1 + 3 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6 \ \) )
D. \( 2\( 1 + 3 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6 + 3^7 \ \) )
Question 15
Solve for x in the equation \( \frac{x}{2} + 3 = 5 \)
A. 1
B. 2
C. 3
D. 4

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