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POST UTME AFE BABALOLA UNIVERSITY 2022 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 2022 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 \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).

Correct A. ( 8 )

B. ( 16 )

C. ( 32 )

D. ( 64 )

Correct Answer: A

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Question 2

Solve for ( x ) in the equation \( 2x^2 + 5x - 3 = 0 \).

A. \( x = -1 \)

Correct B. \( x = 3 \)

C. \( x = -3 \)

D. \( x = 1 \)

Correct Answer: B

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Question 3

Find the equation of the circle with center ( (2, 3) ) and radius ( 4 ).

Correct A. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 16 )

B. \( x + 2 \ \)^2 + \( y - 3 \)^2 = 16 )

C. \( x - 2 \ \)^2 + \( y + 3 \)^2 = 16 )

D. \( x + 2 \ \)^2 + \( y + 3 \)^2 = 16 )

Correct Answer: A

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Question 4

Find the vector ( mathbf{v} ) such that \( mathbf{v} cdot mathbf{i} = 3 \) and \( mathbf{v} cdot mathbf{j} = -2 \).

Correct A. \( mathbf{v} = 3mathbf{i} - 2mathbf{j} \)

B. \( mathbf{v} = 3mathbf{i} + 2mathbf{j} \)

C. \( mathbf{v} = -3mathbf{i} + 2mathbf{j} \)

D. \( mathbf{v} = -3mathbf{i} - 2mathbf{j} \)

Correct Answer: A

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Question 5

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

Correct A. \( x < -1 \) or \( x > 3 \)

B. \( x < 3 \) or \( x > -1 \)

C. \( x < -3 \) or \( x > 1 \)

D. \( x < 1 \) or \( x > -3 \)

Correct Answer: A

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Question 6

A cylindrical \tank with a radius of 7m and a height of 10m is filled with water. If the density of water is 1000 kg/m^3, calculate the volume of water in the \tank.

Correct A. 1490π m^3

B. 1400π m^3

C. 1500π m^3

D. 1600π m^3

Correct Answer: A

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Question 7

A die is rolled twice. If the first roll results in a 4, what is the probability that the second roll will result in an even number?

Correct A. 1/2

B. 1/3

C. 2/3

D. 1/4

Correct Answer: A

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Question 8

A sequence is defined as: 2, 6, 12, 20, ... . What is the next term in the sequence?

Correct A. 30

B. 28

C. 32

D. 29

Correct Answer: A

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Question 9

A polynomial function is defined as: f(x) = x^3 - 6x^2 + 11x - 6. What is the value of f\( -1 \)?

Correct A. -24

B. -23

C. -25

D. -26

Correct Answer: A

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Question 10

A curve is defined as: y = 2x^2 + 3x - 4. What is the derivative of the curve at x = 1?

Correct A. 7

B. 6

C. 8

D. 9

Correct Answer: A

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Question 11

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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Question 12

A rec\tangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find its volume.

Correct A. 72

B. 80

C. 90

D. 100

Correct Answer: A

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Question 13

The mean of a set of numbers is 25. If the sum of the numbers is 100, find the s\tandard deviation.

A. 5

Correct B. 10

C. 15

D. 20

Correct Answer: B

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Question 14

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

A. 0

Correct B. -2

C. -1

D. 1

Correct Answer: B

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Question 15

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

A. 314

Correct B. 314.16

C. 314.16

D. 314.16

Correct Answer: B

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Question 16

Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 4) ).

A. 6

Correct B. 12

C. 18

D. 24

Correct Answer: B

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Question 17

Find the volume of the cylinder with a radius of 4 cm and a height of 6 cm.

Correct A. 150.32

B. 150.32

C. 150.32

D. 150.32

Correct Answer: A

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Question 18

Find the surface area of the sphere with a radius of 6 cm.

Correct A. 452.39

B. 452.39

C. 452.39

D. 452.39

Correct Answer: A

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Question 19

Find the area of the circle with a radius of 5 cm.

Question 20

Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.

Correct A. x = -2 or x = -3

B. x = 2 or x = 3

C. x = -1 or x = -6

D. x = 1 or x = 6

Correct Answer: A

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Question 21

A binary operation \( \ast \) is defined as \( a \ast b = a^2 + b^2 \). Find the value of \( 2 \ast 3 \).

A. 13

Correct B. 25

C. 9

D. 4

Correct Answer: B

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Question 22

A set ( A ) contains the elements ( 1, 2, 3, 4, 5 ). Find the number of subsets of ( A ) that contain exactly two elements.

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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Question 23

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

A. 15

B. 20

C. 25

Correct D. 30

Correct Answer: D

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Question 24

A geometric progression has a first term of 2 and a common ratio of 3. Find the sum of the first five terms of the progression.

A. 1210

B. 1230

Correct C. 1250

D. 1270

Correct Answer: C

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Question 25

A vector ( mathbf{a} ) has a magnitude of 5 and makes an angle of 60° with the positive x-axis. Find the x-component of the vector.

A. 2.5

Correct B. 3.75

C. 4.33

D. 5.00

Correct Answer: B

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