Exam Body

Year

Subject

Paper Type

POST UTME NOUN 2019 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 2019 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. 10

B. 12

C. 14

D. 16

Correct Answer: A

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

Question 2

A histogram of exam scores has a mean of 75 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 60 and 90?

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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

Question 3

Find the derivative of the function $ y = \sin^2 x $ u\sing the chain rule.

Correct A. 2\sin x \cos x

B. \cos^2 x

C. \sin x \cos x

D. \sin^2 x

Correct Answer: A

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

Question 4

Solve the equation $ \frac{1}{2}x^2 + 3x - 2 = 0 $ u\sing the quadratic formula.

Correct A. x = -2 \pm \sqrt{3}

B. x = 1 \pm \sqrt{2}

C. x = -1 \pm \sqrt{3}

D. x = 2 \pm \sqrt{2}

Correct Answer: A

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

Question 5

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

Correct A. 16\pi

B. 32\pi

C. 64\pi

D. 128\pi

Correct Answer: A

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

Question 6

Find the determinant of the matrix [ egin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{pmatrix} ].

A. -120

B. 120

Correct C. 0

D. -60

Correct Answer: C

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

Question 7

A circle with center (0,0) and radius 5 passes through which of the following points?

A. (3,4)

B. (4,3)

Correct C. (5,0)

D. (0,5)

Correct Answer: C

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

Question 8

Find the volume of the solid formed by revolving the region bounded by the parabola y=x^2, the x-axis, and the line x=2 about the x-axis.

A. 16π/3

B. 32π/3

Correct C. 64π/3

D. 128π/3

Correct Answer: C

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

Question 9

A vector [ mathbf{a} = egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} ] is rotated by 90° about the x-axis. What is the new vector?

Correct A. \begin{pmatrix} 1 \ -3 \ -2 \end{pmatrix}

B. \begin{pmatrix} 1 \ 3 \ 2 \end{pmatrix}

C. \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix}

D. \begin{pmatrix} 1 \ -2 \ 3 \end{pmatrix}

Correct Answer: A

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

Question 10

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

Correct A. y = 2x - 1

B. y = 2x + 1

C. y = -2x + 3

D. y = 2x - 3

Correct Answer: A

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

Question 11

Determine the value of $x$ in the equation $2^x + 5^x = 7^x$.

A. -1

Correct B. 0

C. 1

D. 2

Correct Answer: B

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

Question 12

Find the volume of the solid formed by rotating the region bounded by $y = x^2$ and $y = 4 - x^2$ about the $x$-axis.

A. 16\pi

B. 32\pi

Correct C. 64\pi

D. 128\pi

Correct Answer: C

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

Question 13

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

Correct A. $$ -\infty, -1 $ \cup $ 2, \infty $$

B. $$ -\infty, -1 $ \cup $ -1, 2 $$

C. $$ -\infty, 2 $ \cup $ 2, \infty $$

D. $$ -\infty, -1 $ \cup $ 2, \infty $$

Correct Answer: A

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

Question 14

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

Correct A. y = \frac{7}{3}x + \frac{5}{3}

B. y = \frac{3}{7}x - \frac{5}{7}

C. y = \frac{7}{3}x - \frac{5}{3}

D. y = \frac{3}{7}x + \frac{5}{7}

Correct Answer: A

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

Question 15

A circle has a diameter of 10 cm. Find the area of the circle.

A. 25\pi

Correct B. 50\pi

C. 75\pi

D. 100\pi

Correct Answer: B

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

Question 16

Find the value of x in the equation $ \log_{10} \( x^2 \ $ = 4 ).

A. 10

B. 100

C. 1000

Correct D. 10000

Correct Answer: D

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

Question 17

A survey of 1000 people showed that 60% preferred coffee, 20% preferred tea, and 20% preferred both. What percentage of people preferred coffee or tea?

A. 70%

Correct B. 80%

C. 85%

D. 90%

Correct Answer: B

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

Question 18

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

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 19

A rec\tangle has a length of 5 cm and a width of 3 cm. Find the area of the rec\tangle.

A. 10 cm^2

Correct B. 15 cm^2

C. 20 cm^2

D. 25 cm^2

Correct Answer: B

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

Question 20

Find the value of x in the equation $ 2^x = 16 $.

A. 2

B. 3

Correct C. 4

D. 5

Correct Answer: C

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

Question 21

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

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 22

Solve the quadratic equation $ x^2 + 4x + 4 = 0 $.

Correct A. $ x = -2 $

B. $ x = 2 $

C. $ x = -1 $

D. $ x = 1 $

Correct Answer: A

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

Question 23

Find the area of the triangle with vertices ( (0, 0) ), ( (3, 0) ), and ( (0, 2) ).

Correct A. ( 6 )

B. ( 8 )

C. ( 10 )

D. ( 12 )

Correct Answer: A

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

Question 24

Solve the system of equations $ x + y = 2 $ and $ x - y = 0 $.

Correct A. $ x = 1, y = 1 $

B. $ x = 1, y = 0 $

C. $ x = 0, y = 1 $

D. $ x = 0, y = 0 $

Correct Answer: A

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

Question 25

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 = 32 )

C. $ x - 2 \ $^2 + $ y - 3 $^2 = 64 )

D. $ x - 2 \ $^2 + $ y - 3 $^2 = 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