Exam Body

Year

Subject

Paper Type

POST UTME CALEB UNIVERSITY 2018 Mathematics | Objective

Prepare for your exams with POST UTME CALEB UNIVERSITY questions? Reviewing past/model questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 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 mean of the following data set: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?

A. 6

B. 8

C. 10

Correct D. 12

Correct Answer: D

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

Question 2 View Details

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

Correct A. -2

B. 2

C. 4

D. 6

Correct Answer: A

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

Question 3 View Details

If f(x) = \(2x^2 + 3x - 1\), find f'(x) using the chain rule.

Correct A. 4x + 3

B. \(2x^2 + 3\)

C. 4x + 3x - 1

D. \(2x^2 + 3x - 1\)

Correct Answer: A

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

Question 4 View Details

Find the area under the curve \(y = x\^2\) 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 5 View Details

Solve the system of equations \begin{align*} x + y &= 2 \\ x - y &= 1 \end{align*} using matrices.

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

Correct B. \(x = 2\), \(y = 0\)

C. \(x = 0\), \(y = 2\)

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

Correct Answer: B

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

Question 6 View Details

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

Correct A. \(\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4\)

B. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2\)

C. \(\frac{1}{2} \times 4^3 + 3 \times 4^2 - 2 \times 4^2\)

D. \(\frac{1}{2} \times 4^2 + 3 \times 4 - 2 \times 4\)

Correct Answer: A

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

Question 7 View Details

Find the vector ( mathbf{a} ) such that \(\mathbf{a} \cdot \mathbf{b} = 10\) and \(\mathbf{a} \cdot \mathbf{c} = 5\), given that \(\mathbf{b} = 2\mathbf{i} + 3\mathbf{j}\) and \(\mathbf{c} = \mathbf{i} - 2\mathbf{j}\).

Correct A. \(5\mathbf{i} - \mathbf{j}\)

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

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

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

Correct Answer: A

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

Question 8 View Details

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

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

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

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

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

Correct Answer: C

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

Question 9 View Details

Find the volume of the solid formed by revolving the region bounded by the parabola (y = \(x^2\)\) and the line \(y = 4\\((y = x^2) and the line\) about the x-axis.

A. \(\frac{32}{3} \pi\)

B. \(\frac{64}{3} \pi\)

Correct C. \(\frac{128}{3} \pi\)

D. \(\frac{256}{3} \pi\)

Correct Answer: C

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 ( (2, 3) ) and ( (4, 5) ).

A. \(y = \frac{1}{2}x + 1\)

Correct B. \(y = 2x - 1\)

C. \(y = \frac{1}{2}x - 1\)

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

Correct Answer: B

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

Question 11 View Details

Find the volume of the frustum of a cone with height 6cm, lower base radius 4cm, and upper base radius 2cm.

A. 48\pitext{ cm}^3

B. 64\pitext{ cm}^3

Correct C. 80\pitext{ cm}^3

D. 96\pitext{ cm}^3

Correct Answer: C

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

Question 12 View Details

A die is rolled twice. What is the probability that the sum of the two numbers shown is 7?

A. \(\frac{1}{6}\)\)

B. \(\frac{1}{3}\)\)

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

Correct D. \(\frac{2}{3}\)\)

Correct Answer: D

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

Question 13 View Details

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

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

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

Correct Answer: A

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

Question 14 View Details

A particle moves along the curve (y = x\^2+2x+1\). Find the equation of the \\((y = x^2+2x+1\tangent line at the point where \(x = 1\).

Correct A. \(y = x+3\)

B. \(y = x+2\)

C. \(y = x-1\)

D. \(y = x-2\)

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 region bounded by the parabola (y = x\^2\), the line \\((y = x^2\(y = 2x\), and the x-axis.

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

Correct B. \(\frac{32}{3}\)\)

C. \(\frac{64}{3}\)\)

D. \(\frac{128}{3}\)\)

Correct Answer: B

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

Question 16 View Details

Find the value of 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 17 View Details

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

A. 50π

Correct B. 100π

C. 150π

D. 200π

Correct Answer: B

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

Question 18 View Details

Find the derivative of the function ( f(x) = \(3x^2 + 2x - 5\) ) using the chain rule.

A. 6x + 2

B. 6x + 2

Correct C. \(6x^2 + 4x - 10\)

D. \(6x^2 + 4x - 10\)

Correct Answer: C

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

Question 19 View Details

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

A. \(1/2\)

B. \(1/3\)

Correct C. \(2/5\)

D. \(3/8\)

Correct Answer: C

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

Question 20 View Details

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

Correct A. \(-∞, -1\) ∪ (3, ∞)

B. \(-∞, -3\) ∪ (1, ∞)

C. \(-∞, -3\) ∪ (1, ∞)

D. \(-∞, -1\) ∪ (3, ∞)

Correct Answer: A

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

Question 21 View Details

Let \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} 1 \ -2 end{pmatrix}\). Find the vector \(\\(end{pmatrix}). Find the vector \mathbf{a} \times \mathbf{b}\) using the determinant method.

Correct A. \(egin{pmatrix} 6 \ -2 \end{pmatrix}\)

B. \(egin{pmatrix} -6 \ 2 \end{pmatrix}\)

C. \(egin{pmatrix} 0 \ 0 \end{pmatrix}\)

D. \(egin{pmatrix} 3 \ -6 \end{pmatrix}\)

Correct Answer: A

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

Question 22 View Details

Find the equation of the circle with center ( C(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 23 View Details

Find the volume of the sphere with radius ( 6 ).

Correct A. \(\frac{4}{3} \pi 6 \\)^3 )

B. \(\frac{4}{3} \pi 6 \\)^2 )

C. \(\frac{4}{3} \pi 6 \\) )

D. \(\frac{4}{3} \pi 6 \\)^2 )

Correct Answer: A

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

Question 24 View Details

Find the surface area of the sphere with radius ( 6 ).

Correct A. ( 4 pi \((6)^2\) )

B. ( 4 pi (6) )

C. ( 2 pi \((6)^2\) )

D. ( 2 pi (6) )

Correct Answer: A

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

Question 25 View Details

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

Correct A. \(y = \frac{2}{2} x + \frac{1}{2}\)

B. \(y = \frac{2}{2} x + \frac{3}{2}\)

C. \(y = \frac{2}{2} x + \frac{5}{2}\)

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

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