Exam Body

Year

Subject

Paper Type

POST UTME BSU 2021 Mathematics | Objective

Prepare for your exams with POST UTME BSU questions? Reviewing past/model 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 View Details

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

Correct A. 10

B. 100

C. 1000

D. 10000

Correct Answer: A

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

Question 2 View Details

Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 2cm.

A. 120\pi

Correct B. 240\pi

C. 360\pi

D. 480\pi

Correct Answer: B

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

Question 3 View Details

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

Correct A. \(-\infty, -1\) \cup \(3, \infty\)

B. \(-\infty, -3\) \cup \(1, \infty\)

C. \(-\infty, 1\) \cup \(3, \infty\)

D. \(-\infty, -3\) \cup \(1, \infty\)

Correct Answer: A

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

Question 4 View Details

A binary operation (*\) on the set \{0, 1\\((*) on the set \} is defined as follows: (0 * 0 = 0, 0 * 1 = 1, 1 * 0 = 1, 1 * 1 = 1\). Find the result of \(1 * 0 * 1)\\((0 * 0 = 0, 0 * 1 = 1, 1 * 0 = 1, 1 * 1 = 1). Find the result of \\).

A. 0

Correct B. 1

C. 0 * 1

D. 1 * 0

Correct Answer: B

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

Question 5 View Details

A circle with center \(A\) and radius \(5\) units has equation \((x^2 + y^2\) = 25\). Find the equation of the circle with center \(B\\((x^2 + y^2 = 25). Find the equation of the circle with center\) and radius (3\) units that passes through the point \(2, 1)\\((3) units that passes through the point \\).

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

B. \(x^2\) + \\((y^2\)\(= 9\)\)

C. \(x^2\) + \\((y^2\)\(= 25\)\)

D. \(x^2\) + \\((y^2\)\(= 36\)\)

Correct Answer: A

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

Question 6 View Details

Find the equation of the circle passing through the points (1, 2), (2, 3), and (3, 1).

Correct A. \(x^2\) + \\((y^2 - 4x - 4y + 5\)\(= 0\)\)

B. \(x^2\) + \\((y^2 - 2x - 2y + 3\)\(= 0\)\)

C. \(x^2\) + \\((y^2 + 2x + 2y - 1\)\(= 0\)\)

D. \(x^2\) + \\((y^2 + 4x + 4y - 9\)\(= 0\)\)

Correct Answer: A

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

Question 7 View Details

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

A. \(-3, -1\) \cup (1, 3)

B. \(-3, -1\) \cup \(1, \infty\)

Correct C. \(-\infty, -3\) \cup \(-1, 1\) \cup \(3, \infty\)

D. \(-\infty, -3\) \cup \(-1, 1\) \cup \(3, \infty\)

Correct Answer: C

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

Question 8 View Details

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

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

B. \(\frac{13}{3}\)\)

C. \(\frac{15}{3}\)\)

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

Correct Answer: A

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

Question 9 View Details

Solve the equation \(x^3\) - \\((6x^2 + 11x - 6\)\(= 0.\)\)

Correct A. \(x - 1\), x - 2\)\(x - 3 = 0\)

B. \(x - 1\), x - 2\)\(x + 3 = 0\)

C. \(x - 1\), x + 2\)\(x - 3 = 0\)

D. \(x + 1\), x - 2\)\(x - 3 = 0\)

Correct Answer: A

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

Question 10 View Details

Find the equation of the line passing 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 11 View Details

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

Correct A. 0.693

B. 0.785

C. 0.905

D. 1.047

Correct Answer: A

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

Question 12 View Details

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

A. 10

B. 100

Correct C. 1000

D. 10000

Correct Answer: C

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

Question 13 View Details

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

A. \(y = x + 1\)

B. \(y = x - 1\)

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

Correct D. \(y = 2x + 1\)

Correct Answer: D

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

Question 14 View Details

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

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

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

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

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

Correct Answer: A

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

Question 15 View Details

Find the area of the circle with radius (r = 4\) using the formula \(A = \\((r = 4) using the formula \pi r^2\).

Correct A. 50.265

B. 100.53

C. 157.08

D. 314.16

Correct Answer: A

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

Question 16 View Details

Let X be a random variable with probability density function (pdf) given by f(x) = egin{cases} 2x & 0 leq x leq 1 \ 0 & \text{otherwise} \end{cases}. Find the probability that X is greater than 0.5.

A. 0.5

Correct B. 0.75

C. 0.875

D. 0.9375

Correct Answer: B

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

Question 17 View Details

Find the equation of the circle with center at (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

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

Question 18 View Details

Solve the matrix equation egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ y \end{bmatrix} = egin{bmatrix} 3 \ 4 \end{bmatrix}.

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

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

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

D. \(x = 2\), \(y = 2\)

Correct Answer: A

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

Question 19 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. If 75% of the scores are below 70, find the total number of scores.

A. 10

B. 20

C. 30

Correct D. 40

Correct Answer: D

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

Question 20 View Details

Find the equation of the line passing 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 21 View Details

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

Correct A. 16

B. 32

C. 64

D. 128

Correct Answer: A

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

Question 22 View Details

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

A. 10

Correct B. 100

C. 1000

D. 10000

Correct Answer: B

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

Question 23 View Details

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

A. 15

B. 25

Correct C. 35

D. 45

Correct Answer: C

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

Question 24 View Details

Find the derivative of ( f(x) = \(\frac{1}{x^2}\)\)\) ) using the chain rule.

A. \(-2/x\^3\)

Correct B. \(2/x\^3\)

C. \(-1/x\^3\)

D. \(1/x\^3\)

Correct Answer: B

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

Question 25 View Details

A circle has a radius of 5 cm. Find the area of the circle.

A. 25π

Correct B. 50π

C. 75π

D. 100π

Correct Answer: B

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