Exam Body

Year

Subject

Paper Type

POST UTME NOUN 2021 Mathematics | Objective

Are you preparing for POST UTME NOUN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Find the derivative of ( f(x) = \frac{1}{2} left\( 3x^2 + 2x - 5 \right \) ) u\sing the chain rule.

A. ( f'(x) = 3x + 1 )

Correct B. ( f'(x) = 6x + 2 )

C. ( f'(x) = 3x^2 + 2x - 5 )

D. ( f'(x) = 6x^2 + 4x - 10 )

Correct Answer: B

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

Question 2

A histogram of exam scores is shown below. What is the mean score?

A. 60

B. 70

Correct C. 80

D. 90

Correct Answer: C

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

Question 3

Solve the system of equations u\sing matrices:

Correct A. \( egin{bmatrix} 1 \ 2 \end{bmatrix} \)

B. \( egin{bmatrix} 2 \ 1 \end{bmatrix} \)

C. \( egin{bmatrix} 3 \ 4 \end{bmatrix} \)

D. \( egin{bmatrix} 4 \ 3 \end{bmatrix} \)

Correct Answer: A

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

Question 4

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

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

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

C. \( x - 2 \ \)^2 + \( y - 3 \)^2 = 9 )

D. \( x - 3 \ \)^2 + \( y - 2 \)^2 = 9 )

Correct Answer: A

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

Question 5

Find the sum of the first 10 terms of the geometric series \( 2x^2 + 3x + 1 \).

A. \( 2x^{20} + 3x^{10} + 1 \)

B. \( 2x^{20} - 3x^{10} + 1 \)

Correct C. \( 2x^{10} + 3x^5 + 1 \)

D. \( 2x^{10} - 3x^5 + 1 \)

Correct Answer: C

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

Question 6

Find the volume of the solid formed by revolving the region bounded by the curve \( y = \frac{1}{2}x^2 - 2x + 3 \) about the x-axis, from \( x = 1 \) to \( x = 3 \).

Correct A. \( \frac{1}{2} pi \( 3^2 - 1^2 \ \) \( 3 + 1 \) )

B. \( \frac{1}{2} pi \( 3^2 - 1^2 \ \) \( 3 - 1 \) )

C. \( \frac{1}{2} pi \( 3^2 - 1^2 \ \) \( 3 + 2 \) )

D. \( \frac{1}{2} pi \( 3^2 - 1^2 \ \) \( 3 - 2 \) )

Correct Answer: A

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

Question 7

Solve for ( x ) in the equation \( \log_{10} \( x^2 \ \) = 4 ).

Correct A. \( x = 10^4 \)

B. \( x = 10^2 \)

C. \( x = 10^{-4} \)

D. \( x = 10^{-2} \)

Correct Answer: A

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

Question 8

Find the surface area of the solid formed by revolving the region bounded by the curve \( y = 2x^2 - 4x + 1 \) about the x-axis, from \( x = 0 \) to \( x = 2 \).

Correct A. \( 2 pi \( 2^2 - 0^2 \ \) \( 2 + 0 \) )

B. \( 2 pi \( 2^2 - 0^2 \ \) \( 2 - 0 \) )

C. \( 2 pi \( 2^2 - 0^2 \ \) \( 2 + 1 \) )

D. \( 2 pi \( 2^2 - 0^2 \ \) \( 2 - 1 \) )

Correct Answer: A

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

Question 9

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

Correct A. \( 2\( 2 cdot 2 - 3 cdot 1 \ \) - 1\( 4 cdot 2 - 1 cdot 1 \) + 3\( 4 cdot 3 - 2 cdot 1 \) )

B. \( 2\( 2 cdot 1 - 3 cdot 3 \ \) - 1\( 4 cdot 2 - 1 cdot 2 \) + 3\( 4 cdot 1 - 2 cdot 3 \) )

C. \( 2\( 2 cdot 2 - 1 cdot 3 \ \) - 1\( 4 cdot 1 - 3 cdot 2 \) + 3\( 4 cdot 3 - 2 cdot 2 \) )

D. \( 2\( 2 cdot 1 - 1 cdot 3 \ \) - 1\( 4 cdot 2 - 3 cdot 2 \) + 3\( 4 cdot 3 - 2 cdot 1 \) )

Correct Answer: A

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

Question 10

Find the sum of the infinite geometric series \( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + cdots \).

Correct A. \( \frac{\frac{1}{2}}{1 - \frac{1}{2}} \)

B. \( \frac{\frac{1}{2}}{1 - \frac{1}{4}} \)

C. \( \frac{\frac{1}{2}}{1 - \frac{1}{8}} \)

D. \( \frac{\frac{1}{2}}{1 - \frac{1}{16}} \)

Correct Answer: A

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

Question 11

Find the determinant of the matrix [ egin{array}{ccc} 2 & 3 & 1 \ 4 & 2 & 3 \ 1 & 2 & 4 \end{array} ].

Correct A. -5

B. 5

C. -10

D. 10

Correct Answer: A

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

Question 12

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

Correct A. \( x \leq -3 \) or \( x \geq \frac{3}{2} \)

B. \( x \leq -3 \) or \( x \geq 1 \)

C. \( x \leq 1 \) or \( x \geq -3 \)

D. \( x \leq -1 \) or \( x \geq 3 \)

Correct Answer: A

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

Question 13

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

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

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

C. \( x - 2 \)^2 + \( y - 3 \)^2 = 9 \)

D. \( x - 3 \)^2 + \( y - 2 \)^2 = 9 \)

Correct Answer: A

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

Question 14

Solve the trigonometric equation \( 2 \sin^2 x + 3 \cos x - 1 = 0 \).

Correct A. \( x = \frac{\pi}{6} \) or \( x = \frac{5\pi}{6} \)

B. \( x = \frac{\pi}{4} \) or \( x = \frac{3\pi}{4} \)

C. \( x = \frac{\pi}{3} \) or \( x = \frac{2\pi}{3} \)

D. \( x = \frac{\pi}{2} \) or \( x = \frac{3\pi}{2} \)

Correct Answer: A

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

Question 15

Find the sum of the first \( n \) terms of the geometric progression \( 2, 6, 18, \ldots \).

Correct A. \( S_n = \frac{2\( 6^n - 1 \)}{5} \)

B. \( S_n = \frac{2\( 6^n - 1 \)}{4} \)

C. \( S_n = \frac{2\( 6^n - 1 \)}{5} \)

D. \( S_n = \frac{2\( 6^n - 1 \)}{6} \)

Correct Answer: A

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

Question 16

Find the equation of the circle with center at ((2,3)) and pas\sing through the point ((6,7)).

A. \( x-2 \ \)^2 + \( y-3 \)^2 = 25 )

Correct B. \( x-2 \ \)^2 + \( y-3 \)^2 = 36 )

C. \( x-2 \ \)^2 + \( y-3 \)^2 = 49 )

D. \( x-2 \ \)^2 + \( y-3 \)^2 = 64 )

Correct Answer: B

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

Question 17

Solve the inequality \( \frac{x^2 - 4}{x^2 - 9} > 0 \).

Correct A. \( x in \( -infty, -3 \ \) cup (3, infty) )

B. \( x in \( -infty, -3 \ \) cup (3, infty) cup {0} )

C. \( x in \( -infty, -3 \ \) cup (3, infty) cup {4} )

D. \( x in \( -infty, -3 \ \) cup (3, infty) cup {0, 4} )

Correct Answer: A

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

Question 18

Find the derivative of the function ( f(x) = \frac{1}{x^2 + 1} ) u\sing the chain rule.

Correct A. ( f'(x) = \frac{-2x}{\( x^2 + 1 \)^2} )

B. ( f'(x) = \frac{2x}{\( x^2 + 1 \)^2} )

C. ( f'(x) = \frac{-2}{\( x^2 + 1 \)^2} )

D. ( f'(x) = \frac{2}{\( x^2 + 1 \)^2} )

Correct Answer: A

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

Question 19

Solve the system of linear equations \( egin{cases} x + y = 2 \ 2x - y = 3 \end{cases} \).

Correct A. \( x = 1, y = 1 \)

B. \( x = 1, y = 3 \)

C. \( x = 3, y = 1 \)

D. \( x = 3, y = 3 \)

Correct Answer: A

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

Question 20

Find the area of the triangle with vertices ( A(0,0), B(3,0), C(0,4) ).

A. ( 6 )

Correct B. ( 12 )

C. ( 18 )

D. ( 24 )

Correct Answer: B

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

Question 21

Find the derivative of the function ( f(x) = \frac{1}{\sqrt{1 - x^2}} ) u\sing the chain rule.

A. \( \frac{1}{2} \sqrt{1 - x^2} \)

Correct B. \( \frac{x}{\( 1 - x^2 \ \)^{3/2}} )

C. \( \frac{-x}{\( 1 - x^2 \ \)^{3/2}} )

D. \( \frac{1}{\( 1 - x^2 \ \)^{3/2}} )

Correct Answer: B

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

Question 22

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

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

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

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

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

Correct Answer: A

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

Question 23

Find the area under the curve \( y = x^2 + 2x - 3 \) from \( x = 0 \) to \( x = 2 \) u\sing integration.

Correct A. \( \frac{14}{3} \)

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

C. \( \frac{18}{3} \)

D. \( \frac{20}{3} \)

Correct Answer: A

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

Question 24

Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) u\sing trigonometric identities.

Correct A. \( \sin x = \cos x \)

B. \( \sin x = -\cos x \)

C. \( \cos x = -\sin x \)

D. \( \cos x = \sin x \)

Correct Answer: A

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

Question 25

Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \) u\sing the formula for 3x3 matrices.

Correct A. ( 0 )

B. ( 1 )

C. ( 2 )

D. ( 3 )

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