POST UTME ACHIEVERS UNIVERSITY 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1

A vector is given by \( \vec{a} = \begin{bmatrix} 2 \ 3 \ 4 \end{bmatrix} \). Find the magnitude of the vector.

A. 5

B. 6

C. 7

D. 8

Question 2

Solve the system of linear equations u\sing matrices:

A. \begin{bmatrix} 1 \ 2 \end{bmatrix}

B. \begin{bmatrix} 2 \ 1 \end{bmatrix}

C. \begin{bmatrix} 3 \ 4 \end{bmatrix}

D. \begin{bmatrix} 4 \ 3 \end{bmatrix}

Question 3

Find the value of x in the equation \( 2^x = 16 \).

A. 2

B. 3

C. 4

D. 5

Question 4

A histogram of exam scores for a class of 50 students is shown below.

A. The mean score is 60.

B. The median score is 70.

C. The mode score is 80.

D. The s\tandard deviation is 10.

Question 5

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

A. 2x

B. -2x

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

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

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