Exam Body

Year

Subject

Paper Type

POST UTME KSU 2021 Mathematics | Objective

Prepare for your exams with POST UTME KSU 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

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

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

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

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

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

Correct Answer: A

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

Question 2 View Details

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

A. \(x = 10^2\)

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

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

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

Correct Answer: B

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

Question 3 View Details

Find the volume of the solid formed by rotating the region bounded by the curves \(y = x^2\) and \(y = 2x\) about the x-axis from \(x = 0\) to \(x = 2\).

A. \(\pi int_{0}^{2} 2x \\)^2 - \(x^2\)^2 , dx )

B. \(\pi int_{0}^{2} 2x \\)^2 - \(x^2\)^2 , dx + pi int_{0}^{2} \(x^2\)^2 - \((2x)^2\) , dx )

C. \(\pi int_{0}^{2} 2x \\)^2 - \(x^2\)^2 , dx - pi int_{0}^{2} \(x^2\)^2 - \((2x)^2\) , dx )

Correct D. \(\pi int_{0}^{2} 2x \\)^2 - \(x^2\)^2 , dx )

Correct Answer: D

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

Question 4 View Details

A circle with radius 5 cm is inscribed in a square. Find the area of the square.

A. \(5^2 \times 4\)

B. \(5^2 \times 2\)

C. \(5^2 \times 3\)

Correct D. \(5^2 \times 5\)

Correct Answer: D

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

Question 5 View Details

Find the value of (\(12\theta\) given that \\((\)12theta\(\(1\theta = \frac{3}{5}\) and 1\\(theta =\)\(\frac{4}{5}\)\).

Correct A. \(\frac{24}{25}\)

B. \(\frac{16}{25}\)

C. \(\frac{20}{25}\)

D. \(\frac{12}{25}\)

Correct Answer: A

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

Question 6 View Details

In the diagram below, a circle with center O and radius 6cm is tangent to the x-axis at point A. If the equation of the circle is given by \(x - h \\\(tangent to the x-axis at point A. If the equation of the circle is given by (x - h\)^2 + \(y - k\)^\(2 = r\^2\) ), where ( (h, k) ) is the center of the circle and ( r ) is the radius, find the equation of the circle.

Correct A. \(x^2\) + \\((y^2\)\(= 36\)\)

B. \(x^2\) + \\((y^2\)\(= 12\)\)

C. \(x^2\) + \\((y^2\)\(= 24\)\)

D. \(x^2\) + \\((y^2\)\(= 48\)\)

Correct Answer: A

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

Question 7 View Details

A random variable X has a probability distribution given by \(P X = x \\) = \(\frac{1}{2}\)\) \) for \(x = 1, 2, 3, 4, 5\). Find the probability that X is greater than 3.

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

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

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

D. \(\frac{5}{8}\)\)

Correct Answer: B

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

Question 8 View Details

A polynomial function f(x) has a root at x = -2 and a root at \(x = 3\). If f(x) has a degree of 4, find the product of the roots of f(x).

Correct A. -6

B. 6

C. 12

D. -12

Correct Answer: A

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

Question 9 View Details

A histogram of exam scores has a mean of 70 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 80.

A. 0.1587

B. 0.3413

C. 0.5

Correct D. 0.8413

Correct Answer: D

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

Question 10 View Details

A circle with center O and radius 4cm is tangent to the x-axis at point A. If the equation of the circle is given by \(x - h \\\(tangent to the x-axis at point A. If the equation of the circle is given by (x - h\)^2 + \(y - k\)^\(2 = r\^2\) ), where ( (h, k) ) is the center of the circle and ( r ) is the radius, find the equation of the circle.

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

B. \(x^2\) + \\((y^2\)\(= 8\)\)

C. \(x^2\) + \\((y^2\)\(= 24\)\)

D. \(x^2\) + \\((y^2\)\(= 32\)\)

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

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

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

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

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

Correct Answer: A

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

Question 12 View Details

A circle has equation \(x^2 + y^2 = 16\). Find the equation of the \tangent line at point (P(2, 4)).

Correct A. \(y = -x + 6\)

B. \(y = x + 6\)

C. \(y = -x - 6\)

D. \(y = x - 6\)

Correct Answer: A

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

Question 13 View Details

A histogram has a mean of 25 and a standard deviation of 5. If the histogram has 10 bars, find the value of the 7th bar.

A. 20

Correct B. 30

C. 40

D. 50

Correct Answer: B

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

Question 14 View Details

Solve the equation \(\sin^2 x + \cos^2 x = 1\) for (x).

Correct A. \(x = \frac{\pi}{4}\)

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

C. \(x = \frac{5\pi}{4}\)

D. \(x = \frac{7\pi}{4}\)

Correct Answer: A

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

Question 15 View Details

A vector \(\vec{a}\) has magnitude 5 and direction \(theta = 30^\circ\). Find the magnitude of the vector \\(theta = 30^circ\(vec{a} + \vec{b}\), where \\(vec{a} + vec{b}\(\vec{b}\) has magnitude 3 and direction \(\theta = 60^\circ\).

A. 5

Correct B. 6

C. 7

D. 8

Correct Answer: B

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

Question 16 View Details

Solve the inequality \(\frac{x}{x+1} > \frac{2}{3}\) for x in mathbb{R} setminus {-1}.

A. \(x > \frac{1}{2}\)

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

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

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

Correct Answer: C

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

Question 17 View Details

If ( f(x) = \(\frac{1}{x^2 - 4}\)\)) ), find \(f^{-1} x \\\() ), find (f^{-1} x\) ).

Correct A. \(f^{-1} x \\) = \(\frac{1}{x^2 + 4}\)\)\) )

B. \(f^{-1} x \\) = \(\frac{1}{x^2 - 4}\)\)\) )

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

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

Correct Answer: A

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

Question 18 View Details

Solve the equation \(\sin^2 x + \cos^2 x = \frac{3}{4}\) for ( x in [0, 2pi] ).

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 19 View Details

If \(A = egin{pmatrix} 2 & 1 \ 1 & 2 \end{pmatrix}\) and \(B = egin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}\), find ( AB ).

A. \(AB = egin{pmatrix} 2 & 1 \ 1 & 2 \end{pmatrix}\)

Correct B. \(AB = egin{pmatrix} 3 & 1 \ 1 & 3 \end{pmatrix}\)

C. \(AB = egin{pmatrix} 2 & 2 \ 2 & 2 \end{pmatrix}\)

D. \(AB = egin{pmatrix} 3 & 2 \ 2 & 3 \end{pmatrix}\)

Correct Answer: B

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

Question 20 View Details

If \(S = {1, 2, 3, 4, 5}\) and \(T = {2, 4, 6}\), find ( S cap T ).

A. \(S cap T = {1, 2, 3, 4, 5}\)

Correct B. \(S cap T = {2, 4}\)

C. \(S cap T = {1, 3, 5}\)

D. \(S cap T = {2, 4, 6}\)

Correct Answer: B

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

Question 21 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 + \(y-3\)^\(2 = 4\) )

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

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 22 View Details

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

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

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

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

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

Correct Answer: A

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

Question 23 View Details

Find the sum of the first 5 terms of the geometric progression with first term 2 and common ratio 3.

Correct A. \(2 + 6 + 18 + 54 + 162 = 242\)

B. \(2 + 6 + 18 + 54 + 162 = 242\)

C. \(2 + 6 + 18 + 54 + 162 = 242\)

D. \(2 + 6 + 18 + 54 + 162 = 242\)

Correct Answer: A

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

Question 24 View Details

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

Correct A. ( 0 )

B. ( 1 )

C. \(-1\)

D. ( 2 )

Correct Answer: A

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

Question 25 View Details

Find the volume of the cylinder with radius 4 and height 6.

Correct A. ( 48pi )

B. ( 96pi )

C. ( 192pi )

D. ( 384pi )

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