Exam Body

Year

Subject

Paper Type

POST UTME AFE BABALOLA UNIVERSITY 2017 Mathematics | Objective

Are you preparing for POST UTME AFE BABALOLA UNIVERSITY 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.

Practice these randomly selected questions to test your readiness.

Question 1

Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).

Correct A. ( 14 )

B. ( 28 )

C. ( 42 )

D. ( 56 )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

Solve for ( x ) in the equation \( 2^x = 8 \).

A. ( 1 )

Correct B. ( 2 )

C. ( 3 )

D. ( 4 )

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

Find the equation of the line pas\sing through the points ( (2, 3) ) and ( (4, 5) ).

Correct A. \( y = 2x - 1 \)

B. \( y = 2x + 1 \)

C. \( y = -2x + 1 \)

D. \( y = -2x - 1 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

Find the area of the circle with radius ( 4 ) cm.

Correct A. ( 16pi ) cm^2

B. ( 32pi ) cm^2

C. ( 64pi ) cm^2

D. ( 128pi ) cm^2

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

Solve for ( x ) in the equation \( x^2 + 4x + 4 = 0 \).

Correct A. \( -2 \)

B. \( -1 \)

C. ( 1 )

D. ( 2 )

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

Let \( A = egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} \) and \( B = egin{bmatrix} 5 & 6 \ 7 & 8 \end{bmatrix} \). Find ( AB ) if it exists.

Correct A. \( egin{bmatrix} 19 & 22 \ 43 & 50 \end{bmatrix} \)

B. \( egin{bmatrix} 17 & 20 \ 39 & 46 \end{bmatrix} \)

C. \( egin{bmatrix} 21 & 24 \ 45 & 52 \end{bmatrix} \)

D. \( egin{bmatrix} 23 & 26 \ 49 & 56 \end{bmatrix} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random without replacement, what is the probability that both balls are blue?

Correct A. \( \frac{3}{8} \)

B. \( \frac{3}{7} \)

C. \( \frac{1}{4} \)

D. \( \frac{1}{6} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).

Correct A. \( \frac{64}{3} \)

B. \( \frac{32}{3} \)

C. \( \frac{16}{3} \)

D. \( \frac{8}{3} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

Solve the inequality \( 2x^2 + 3x - 1 > 0 \).

Correct A. \( x < -\frac{1}{2} \) or \( x > \frac{1}{2} \)

B. \( x < -\frac{1}{2} \) or \( x < \frac{1}{2} \)

C. \( x > -\frac{1}{2} \) or \( x < \frac{1}{2} \)

D. \( x > -\frac{1}{2} \) or \( x > \frac{1}{2} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

Find the value of ( x ) in the equation \( x^2 + 2x - 3 = 0 \).

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

Find the volume of the frustum of a cone with height 6 cm, lower base radius 4 cm, and upper base radius 2 cm.

A. 24π cm³

Correct B. 48π cm³

C. 96π cm³

D. 192π cm³

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

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

Correct A. \( x < -\frac{1}{2} \) or \( x > \frac{3}{2} \)

B. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)

C. \( x < -\frac{1}{2} \) or \( x < \frac{3}{2} \)

D. \( x < -\frac{3}{2} \) or \( x < \frac{1}{2} \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

Find the surface area of the sphere with radius 5 cm.

A. ( 50pi ) cm²

Correct B. ( 100pi ) cm²

C. ( 150pi ) cm²

D. ( 200pi ) cm²

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

Solve the quadratic equation \( x^2 + 2x - 6 = 0 \).

Correct A. \( x = -3 \) or \( x = 2 \)

B. \( x = -2 \) or \( x = 3 \)

C. \( x = -1 \) or \( x = 6 \)

D. \( x = 1 \) or \( x = -6 \)

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

Determine the value of the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 4 \ 5 & 6 & 7 \ 8 & 9 & 10 \end{array} ].

Correct A. -10

B. 10

C. 20

D. 30

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A random experiment consists of rolling a fair six-sided die and then flipping a fair coin. If the number on the die is even, the coin is flipped twice. If the number on the die is odd, the coin is flipped only once. What is the probability that at least one of the coin flips shows heads?

A. \frac{1}{2}

Correct B. \frac{2}{3}

C. \frac{3}{4}

D. \frac{4}{5}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

Solve for x in the equation [ 2^x + 3^x = 5^x ].

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

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

A. 4

B. 6

Correct C. 8

D. 10

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

Find the equation of the line pas\sing through the points (2,3) and (4,5).

A. y = 2x - 1

Correct B. y = 2x + 1

C. y = x - 1

D. y = x + 1

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

Find the equation of the circle pas\sing through the points (2, 3), (4, 1), and \( -1, 2 \).

Correct A. x^2 + y^2 - 6x - 4y + 12 = 0

B. x^2 + y^2 + 2x - 4y + 5 = 0

C. x^2 + y^2 + 4x + 2y - 6 = 0

D. x^2 + y^2 - 2x + 4y - 8 = 0

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

Evaluate the integral \int_0^1 \( 2x^3 - 5x^2 + 3x - 1 \) dx.

Correct A. [1, 2, 3, 4]

B. [1, 2, 3, 4]

C. [1, 2, 3, 4]

D. [1, 2, 3, 4]

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

If \vec{a} = \begin{pmatrix} 2 \ 3 \ 4 \end{pmatrix} and \vec{b} = \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix}, find the cross product \vec{a} \times \vec{b}.

Correct A. \begin{pmatrix} -1 \ 8 \ -5 \end{pmatrix}

B. \begin{pmatrix} 1 \ -8 \ 5 \end{pmatrix}

C. \begin{pmatrix} -1 \ -8 \ 5 \end{pmatrix}

D. \begin{pmatrix} 1 \ 8 \ -5 \end{pmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

Solve the system of equations: \begin{align*} x + y &= 4 \ 2x - 3y &= 5 \end{align*}

Correct A. \begin{pmatrix} 1 \ 3 \end{pmatrix}

B. \begin{pmatrix} 2 \ 2 \end{pmatrix}

C. \begin{pmatrix} 3 \ 1 \end{pmatrix}

D. \begin{pmatrix} 4 \ 0 \end{pmatrix}

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

Find the area under the curve y = x^2 from x = 0 to x = 4.

Correct A. 32

B. 64

C. 16

D. 128

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support