POST UTME BSU 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).
A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )
B. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 16 )
C. \( x - 4 \ \)^2 + \( y - 3 \)^2 = 16 )
D. \( x - 3 \ \)^2 + \( y - 4 \)^2 = 16 )
Question 2
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula. What is the value of ( x )?
A. 0
B. -2
C. 2
D. -4
Question 3
In a trapezoid ABCD, AB is parallel to DC and AB = 8 cm, DC = 6 cm. If the length of AD is 10 cm, find the length of BC.
A. 10 + 3\sqrt{11}
B. 10 - 3\sqrt{11}
C. 8 + 6
D. 8 - 6
Question 4
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{16}{3} \)
B. ( 8 )
C. ( 4 )
D. ( 2 )
Question 5
Find the determinant of the matrix [ egin{array}{ccc} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{array} ].
A. -4
B. 4
C. -1
D. 1
Question 6
Find the area under the curve [ y = x^2 \] from [ x = 0 \] to [ x = 1 \].
A. 1/3
B. 1/2
C. 2/3
D. 1
Question 7
A company produces two products, A and B. The profit on product A is ₦100 and the profit on product B is ₦150. If the company produces 5 units of product A and 3 units of product B, what is the total profit?
A. ₦750
B. ₦800
C. ₦850
D. ₦900
Question 8
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x<-3 or x>1
B. x<-1 or x>3
C. x<-1 or x<3
D. x>1 or x<3
Question 9
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \)
A. x = 0
B. x = 90
C. x = 180
D. x = 270
Question 10
A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. Find the length of the other leg.
A. 8
B. 6
C. 4
D. 2
Question 11
Evaluate the integral [ int_{0}^{1} x^2 \sin x \, dx \].
A. -1
B. 1
C. -2
D. 2
Question 12
Solve the inequality \frac{x-2}{x+1} > 0.
A. \( -1, 2 \)
B. \( -1, 0 \) \cup \( 2, \infty \)
C. (0, 1) \cup \( 2, \infty \)
D. \( -1, 0 \) \cup (1, 2)
Question 13
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24
B. 100.48
C. 200.96
D. 50.72
Question 14
A function is defined as ( f(x) = 2x^2 + 3x - 1 ). Find the derivative of the function.
A. 4x + 3
B. 2x + 1
C. 4x - 3
D. 2x - 1
Question 15
Solve the equation [ 2x + 5 = 3x - 2 \].
A. -1
B. 1
C. 2
D. 3

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