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POST UTME BSU 2017 Mathematics | Objective

Are you preparing for POST UTME BSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Find the value of x in the equation \( \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2} \).

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 2

Solve the inequality \( 2x^2 + 5x - 3 > 0 \).

Correct A. x<-3 or x>1

B. x<-1 or x>3

C. x<-1 or x<3

D. x>1 or x<3

Correct Answer: A

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Question 3

Find the area under the curve \( y = x^2 - 4x + 3 \) from x = 1 to x = 3.

A. 10

B. 12

Correct C. 14

D. 16

Correct Answer: C

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Question 4

Find the determinant of the matrix \( egin{bmatrix} 2 & 1 & 3 \ 4 & 2 & 1 \ 3 & 4 & 2 \end{bmatrix} \).

Correct A. -1

B. 1

C. 2

D. 3

Correct Answer: A

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Question 5

Find the mean of the data set ( { 2, 4, 6, 8, 10 } ).

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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Question 6

A random sample of 25 students from a university had a mean height of 175.5 cm with a s\tandard deviation of 5.2 cm. If the population s\tandard deviation is unknown, calculate the 95% confidence interval for the population mean.

Correct A. 168.3 cm, 182.7 cm

B. 170.5 cm, 180.5 cm

C. 172.5 cm, 178.5 cm

D. 174.5 cm, 176.5 cm

Correct Answer: A

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Question 7

A particle moves along the x-axis with its position given by the equation x(t) = 2t^3 - 5t^2 + 3t + 1. Find the velocity and acceleration of the particle at t = 2 seconds.

Correct A. v(2) = 14 m/s, a(2) = 26 m/s^2

B. v(2) = 16 m/s, a(2) = 24 m/s^2

C. v(2) = 18 m/s, a(2) = 22 m/s^2

D. v(2) = 20 m/s, a(2) = 20 m/s^2

Correct Answer: A

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Question 8

Solve the inequality 2x^2 + 5x - 3 > 0.

Correct A. x < -1 or x > 3/2

B. x < 1 or x > -3/2

C. x < -3/2 or x > 1

D. x < 3/2 or x > -1

Correct Answer: A

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Question 9

A histogram of exam scores is shown below. If the mean score is 75 and the s\tandard deviation is 10, what is the probability that a randomly selected student scored above 85?

Correct A. 0.25

B. 0.30

C. 0.35

D. 0.40

Correct Answer: A

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Question 10

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 11

Solve for x in the equation \( \frac{1}{2}x^2 + 5x - 3 = 0 \)

A. x = -10

Correct B. x = 6

C. x = -6

D. x = 10

Correct Answer: B

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Question 12

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. 1/2

B. 1/3

Correct C. 2/5

D. 3/5

Correct Answer: C

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Question 13

Find the determinant of the matrix \( egin{bmatrix} 2 & 3 \ 4 & 5 \end{bmatrix} \)

Correct A. 1

B. -1

C. 2

D. 3

Correct Answer: A

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Question 14

Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \)

A. x = 0

Correct B. x = 90

C. x = 180

D. x = 270

Correct Answer: B

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Question 15

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

Correct C. ₦850

D. ₦900

Correct Answer: C

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Question 16

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.

Correct A. 10 + 3\sqrt{11}

B. 10 - 3\sqrt{11}

C. 8 + 6

D. 8 - 6

Correct Answer: A

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Question 17

A circle with center O passes through points A and B. If OA = 5 cm and OB = 7 cm, find the length of AB.

Correct A. 2\sqrt{25 - \frac{AB^2}{4}}

B. 2\sqrt{25 + \frac{AB^2}{4}}

C. 2\sqrt{25 - \frac{AB^2}{2}}

D. 2\sqrt{25 + \frac{AB^2}{2}}

Correct Answer: A

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Question 18

A rec\tangular box with length 10 cm, width 5 cm, and height 3 cm is packed in a larger box with length 20 cm, width 10 cm, and height 6 cm. What is the volume of the larger box?

Correct A. 1200

B. 1000

C. 1500

D. 1800

Correct Answer: A

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Question 19

A fair six-sided die is rolled. What is the probability that the number rolled is a multiple of 3?

Correct A. \frac{1}{3}

B. \frac{1}{2}

C. \frac{2}{3}

D. \frac{4}{5}

Correct Answer: A

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Question 20

Solve the inequality \frac{x-2}{x+1} > 0.

Correct A. \( -1, 2 \)

B. \( -1, 0 \) \cup \( 2, \infty \)

C. (0, 1) \cup \( 2, \infty \)

D. \( -1, 0 \) \cup (1, 2)

Correct Answer: A

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Question 21

Solve the quadratic equation \( x^2 + 4x + 4 = 0 \) u\sing the quadratic formula. What is the value of ( x )?

A. 0

Correct B. -2

C. 2

D. -4

Correct Answer: B

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Question 22

A sequence is defined as \( a_n = 2n + 1 \). Find the sum of the first 5 terms of the sequence.

A. 15

B. 20

Correct C. 25

D. 30

Correct Answer: C

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Question 23

A circle has a radius of 4 cm. Find the area of the circle.

Correct A. 50.24

B. 100.48

C. 200.96

D. 50.72

Correct Answer: A

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Question 24

A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. Find the length of the other leg.

Correct A. 8

B. 6

C. 4

D. 2

Correct Answer: A

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Question 25

A function is defined as ( f(x) = 2x^2 + 3x - 1 ). Find the derivative of the function.

Correct A. 4x + 3

B. 2x + 1

C. 4x - 3

D. 2x - 1

Correct Answer: A

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