Exam Body

Year

Subject

Paper Type

POST UTME LEAD CITY UNIVERSITY 2022 Mathematics | Objective

Prepare for your exams with POST UTME LEAD CITY UNIVERSITY questions? Reviewing past/model 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 View Details

Determine the equation of the circle passing through the points ( (2,3) ) and ( (4,5) ).

Correct A. \(x^2 + y^2 - 6x + 2y + 7 = 0\)

B. \(x^2 + y^2 - 4x - 2y + 3 = 0\)

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

D. \(x^2 + y^2 - 2x + 4y + 3 = 0\)

Correct Answer: A

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

Question 2 View Details

A random variable ( X ) has a probability distribution given by \(P X = x \\) = \(\frac{1}{2^x}\)\)\) ) for \(x = 1, 2, 3, ldots\). Find ( P(X geq 3) ).

Correct A. \(\frac{1}{4}\)

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

C. \(\frac{3}{4}\)

D. \(\frac{7}{8}\)

Correct Answer: A

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

Question 3 View Details

Solve the system of equations \(egin{cases} x + y + z = 6 \ 2x + 2y + 3z = 12 \ 3x + 2y + z = 9 \end{cases}\).

Correct A. \(x = 1, y = 2, z = 3\)

B. \(x = 2, y = 1, z = 3\)

C. \(x = 3, y = 2, z = 1\)

D. \(x = 1, y = 3, z = 2\)

Correct Answer: A

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

Question 4 View Details

Find the equation of the line passing 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 5 View Details

A sequence is defined by (a_\(n = 2n + 1\)\) for \(n = 1, 2, 3, ldots\\((a_n = 2n + 1) for\). Find the sum of the first five terms of the sequence.

Correct A. ( 15 )

B. ( 21 )

C. ( 25 )

D. ( 30 )

Correct Answer: A

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

Question 6 View Details

Determine 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 + \(y-3\)^\(2 = 4\) )

D. \(x-2 \\)^2 + \(y+3\)^\(2 = 4\) )

Correct Answer: A

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

Question 7 View Details

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

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

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

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 8 View Details

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

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

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

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

D. \(\frac{3}{4}\)

Correct Answer: B

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

Question 9 View Details

Simplify the expression \(\sqrt[3]{64x^3y^3}\).

Correct A. \(4x^1y^1\)

B. \(4x^3y^3\)

C. \(64x^3y^3\)

D. \(4x^3y^1\)

Correct Answer: A

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

Question 10 View Details

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, what is their total daily profit?

A. ₦1250

Correct B. ₦12500

C. ₦125000

D. ₦1250000

Correct Answer: B

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

Question 11 View Details

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

A. 40

B. 50

Correct C. 60

D. 70

Correct Answer: C

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

Question 12 View Details

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

A. 1

B. 2

C. 3

Correct D. 4

Correct Answer: D

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

Question 13 View Details

A histogram of exam scores has a mean of 80 and a standard deviation of 10. What is the probability that a randomly selected score is between 70 and 90?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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

Question 14 View Details

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

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

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

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

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

Correct Answer: B

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

Question 15 View Details

A circle has a radius of 4 cm. What is 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 16 View Details

Solve for 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 View Details

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

A. 16

B. 32

Correct C. 64

D. 128

Correct Answer: C

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

Question 18 View Details

Solve the inequality \(x^2 - 4x + 4 > 0\).

Correct A. \(-\infty, 2\) \cup \(2, \infty\)

B. \(-\infty, 0\) \cup \(0, \infty\)

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

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

Correct Answer: A

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

Question 19 View Details

Find the value of \(\sqrt{\frac{16}{25}}\).

A. 2

Correct B. 4

C. 8

D. 16

Correct Answer: B

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

Question 20 View Details

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

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 21 View Details

Find the sum of the first 10 terms of the arithmetic sequence with first term 2 and common difference 3.

Correct A. 155

B. 165

C. 175

D. 185

Correct Answer: A

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

Question 22 View Details

A circle with center (2, 3) passes through the point (7, 6). Find the equation of the circle.

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 23 View Details

Two events A and B are independent. If P(A) = 0.4 and P(B) = 0.6, find P(\(A \cap B\)).

Correct A. 0.12

B. 0.24

C. 0.36

D. 0.48

Correct Answer: A

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

Question 24 View Details

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

A. 16

B. 32

Correct C. 48

D. 64

Correct Answer: C

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

Question 25 View Details

A set of exam scores has a mean of 80 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 90.

A. 0.1587

Correct B. 0.3413

C. 0.4772

D. 0.6745

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