Exam Body

Year

Subject

Paper Type

POST UTME LASU 2018 Mathematics | Objective

Prepare for your exams with POST UTME LASU 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

Find 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. 12

Correct B. 14

C. 16

D. 18

Correct Answer: B

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

Question 2 View Details

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

A. $$1x \$$= 1 )$

B. $$1x \$$= 1 )$

Correct C. $$1x \$ = \cos(x) )

D. $$1x \$ = -\cos(x) )

Correct Answer: C

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

Question 3 View Details

Find the derivative of the function ( f(x) = $3x^2 + 2x - 5$ ).

Correct A. ( f'$(x) = 6x + 2 )$

B. ( f'$(x) = 6x - 2 )$

C. ( f'$(x) =$$3x^2 + 2$ )

D. ( f'$(x) =$$3x^2 - 2$ )

Correct Answer: A

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

Question 4 View Details

Solve the system of equations using matrices:

Correct A. $egin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$

B. $egin{bmatrix} 2 & 1 \ 4 & 3 \end{bmatrix}$

C. $egin{bmatrix} 3 & 1 \ 2 & 4 \end{bmatrix}$

D. $egin{bmatrix} 4 & 3 \ 2 & 1 \end{bmatrix}$

Correct Answer: A

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

Question 5 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 + $y + 3$^$2 = 16$ )

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 6 View Details

Find the volume of the frustum of a cone with radii 6 cm and 4 cm and height 10 cm.

Correct A. $\frac{1}{3} \pi 6^2 + 4^2 + 6 \cdot 4 \$ \times 10 )

B. $\frac{1}{3} \pi 6^2 + 4^2 - 6 \cdot 4 \$ \times 10 )

C. $\frac{1}{3} \pi 6^2 + 4^2 + 6 \cdot 4 \$ \times 5 )

D. $\frac{1}{3} \pi 6^2 + 4^2 - 6 \cdot 4 \$ \times 5 )

Correct Answer: A

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

Question 7 View Details

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

Correct A. $x = 10^4$

B. $x = 10^8$

C. $x = 10^{-4}$

D. $x = 10^{-8}$

Correct Answer: A

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

Question 8 View Details

Find the area under the curve $y = x^2 + 2x + 1$ from $x = 0$ to $x = 2$.

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

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

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

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

Correct Answer: A

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

Question 9 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 - 3 \$^2 + $y - 2$^$2 = 16$ )

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

Correct Answer: A

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

Question 10 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 11 View Details

Let ( f(x) = $\frac{x^2 + 2x - 3}{x^2 - 4}$\)) ). Find the value of $f -2 \\\() ). Find the value of (f -2$ ) using the given function.

Correct A. $\frac{1}{3}$\)

B. -$\frac{1}{3}$\)

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

D. -$\frac{1}{2}$\)

Correct Answer: A

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

Question 12 View Details

A random variable ( X ) has a probability distribution given by $P X = x \$ = $\frac{1}{2}$\) \) for (x = -1, 1 \\). Find the probability that \$(x = -1, 1 \(X \$ is greater than 0.

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

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

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

D. 1

Correct Answer: B

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

Question 13 View Details

Find the value of $\overrightarrow{a} \cdot overrightarrow{b} \$ given that \$overrightarrow{b} \(\overrightarrow{a} = \begin{pmatrix} 2 \ 3 \ 1 \end{pmatrix} \$ and $\overrightarrow{b} = \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} \$.

A. 13

B. 14

Correct C. 15

D. 16

Correct Answer: C

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

Question 14 View Details

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

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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

Question 15 View Details

A histogram of exam scores has a mean of 60 and a standard deviation of 10. If the scores are normally distributed, find the probability that a randomly selected score is greater than 70.

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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

Question 16 View Details

Determine the value of $\frac{1}{2} \int_{0}^{\pi} \sin^2 x \, dx$.

A. 0

B. $\frac{\pi}{2}$\)

Correct C. $\frac{\pi}{4}$\)

D. 1

Correct Answer: C

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

Question 17 View Details

A histogram of exam scores for a class of 50 students is shown below. What is the mean score?

A. 60

Correct B. 70

C. 80

D. 90

Correct Answer: B

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

Question 18 View Details

Solve the inequality $|x - 2| > 3$.

Correct A. $-\infty, -1$ \cup $4, \infty$

B. $-\infty, 1$ \cup $4, \infty$

C. $-\infty, -1$ \cup $1, \infty$

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

Correct Answer: A

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

Question 19 View Details

A binary operation (\oplus\) is defined by \$(oplus\(a oplus b = a^2 + b^2$. Find $2 \\(oplus b = a^2 + b^2). Find \oplus 3$.

A. 13

B. 14

C. 15

Correct D. 16

Correct Answer: D

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

Question 20 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. $\frac{1}{2}$\)

Correct B. $\frac{2}{5}$\)

C. $\frac{3}{8}$\)

D. $\frac{4}{9}$\)

Correct Answer: B

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

Question 21 View Details

Find the sum of the infinite geometric series $sum_{n = 1}^{\infty} \frac{1}{2^n}$ using the formula $S = \frac{a}{1 - r}$, where (a) is the first term and (r) is the common ratio.

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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

Question 22 View Details

A polynomial (p(x)) has roots at $x = 2, x = 3,$ and $x = 4$. If (p(1) = 10), find the value of (p(0)).

A. -10

B. 0

Correct C. 10

D. 20

Correct Answer: C

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

Question 23 View Details

Solve the inequality $\frac{x^2 - 4}{x^2 - 9} > 0$ using interval notation.

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

B. $-3, 3$

C. $-\infty, -3$ cup (3, infty) cup $-9, 9$

D. $-\infty, -9$ cup $-3, 3$ cup (9, infty)

Correct Answer: A

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

Question 24 View Details

A curve is defined by the equation (y = $\frac{1}{\(x^2 + 1}$\)\). Find the equation of the \$(y = frac{1}{x^2 + 1}\tangent line to the curve at the point \(1, \frac{1}{2} \$).

Correct A. $y = x - 1$

B. $y = x + 1$

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 25 View Details

A sequence is defined by the formula $a_n = 2n + 1$. Find the sum of the first 5 terms of the sequence.

A. 15

B. 20

Correct C. 25

D. 30

Correct Answer: C

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