POST UTME BABCOCK UNIVERSITY 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ) u\sing the chain rule.
A. 6x + 2
B. 6x^2 + 2
C. 6x + 2x - 5
D. 6x^2 + 2x - 5
Question 2
A binary number 1011 is converted to decimal. Find the decimal equivalent.
A. 11
B. 12
C. 13
D. 14
Question 3
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 < 3 or x > -1
Question 4
A circle has a radius of 3 cm. Find the circumference of the circle.
A. 6π cm
B. 9π cm
C. 12π cm
D. 15π cm
Question 5
Find the equation of the line pas\sing through the points ( (1, 2) ) and ( (3, 4) ).
A. \( y = 2x - 1 \)
B. \( y = 2x + 1 \)
C. \( y = 3x - 2 \)
D. \( y = 3x + 2 \)
Question 6
In a triangle ABC, the length of side AB is 5 cm, the length of side BC is 6 cm, and the length of side AC is 7 cm. Find the area of the triangle.
A. 10 cm²
B. 12 cm²
C. 15 cm²
D. 20 cm²
Question 7
Find the value of x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 8
Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula.
A. -2
B. -1
C. 0
D. 1
Question 9
In a circle of radius 5 cm, a chord of length 8 cm subt\ends an angle of 60° at the centre. Find the area of the sector formed by the chord and the radii.
A. 10π cm²
B. 12π cm²
C. 15π cm²
D. 20π cm²
Question 10
A company produces x units of a product, where the \cost of production is given by the function C(x) = 2x^2 + 3x + 1. Find the marginal \cost when x = 5.
A. 17
B. 19
C. 21
D. 23
Question 11
The mean of a set of 5 numbers is 10. If one of the numbers is 15, find the sum of the remaining 4 numbers.
A. 35
B. 40
C. 45
D. 50
Question 12
A binary operation * on the set of integers is defined as a*b = a + b + ab. Find the value of 2*3.
A. 5
B. 6
C. 7
D. 8
Question 13
Find the value of \( \log_{10} \( 1000 \ \) ).
A. ( 3 )
B. ( 4 )
C. ( 5 )
D. ( 6 )
Question 14
Find the area under the curve \( y = \frac{1}{2}x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 4 \).
A. 40
B. 50
C. 60
D. 70
Question 15
Find the area under the curve \( y = \frac{1}{x^2 + 1} \) from \( x = 0 \) to \( x = 1 \).
A. \( \frac{pi}{2} \)
B. \( \frac{pi}{4} \)
C. \( \frac{pi}{6} \)
D. \( \frac{pi}{8} \)

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