UTME 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve \( (x-3)(x+2)<0 \)
A. 2
B. -3
C. -2
D. -3
Question 2
The base in which the operation was performed was \( \begin{array}{rcccccccc} & & & 1 & 1 & 0 & 1 & . & 0 & 1 \\ + & & & 1 & 1 & 1 & 0 & . & 1 & 1 \\ + & & & 1 & 0 & 1 & 1 & . & 1 & 0 \\ \hline & 1 & 0 & 0 & 1 & 1 & 1 & . & 1 & 0 \\ \hline \end{array} \)
A. 6
B. 2
C. 4
D. 5
Question 3
Find the base in which the following addition was performed. \( \begin{array} {r@{\quad}cccc} & \quad 2 \quad 3 \quad 1 \quad 2 \\ + & \quad 1 \quad 0 \quad 1 \quad 3 \\ + & \quad 2 \quad 1 \quad 3 \quad 1 \\ \hline 1 & \quad 1 \quad 0 \quad 1 \quad 1 \\ \hline \end{array} \)
A. 7
B. 6
C. 5
D. 8
Question 4
Given the quadrilateral RSTQ inscribed in the circle above with Q as centre. Find the size of the angle x.
A. \( 100^{\circ} \)
B. \( 140^{\circ} \)
C. \( 120^{\circ} \)
D. \( 10^{\circ} \)
Question 5
Evaluate \( 1-\left(\frac{1}{5} \times 1 \frac{2}{3}\right)+\left(5 \div 1 \frac{2}{3}\right) \).
A. 4
B. 3
C. \( 2 \frac{2}{3} \)
D. \( 3 \frac{2}{3} \)
Question 6
Find the value of \( x \) for which the function \( f(x)=3 x^{2}-x- 6 \) is minimum.
A. \frac{-1}{6}
B. \frac{-73}{12}
C. \frac{1}{6}
D. \frac{73}{12}
Question 7
Find the inverse of the matrix \( \begin{pmatrix}3 & 3 \\ 5 & 6\end{pmatrix} \).
A. \( \begin{pmatrix} 2 & -1 \\ - \frac{5}{3} & 1 \end{pmatrix} \)
B. \( \begin{pmatrix} 2 & 1 \\- \frac{5}{3} & -1 \end{pmatrix} \)
C. \( \begin{pmatrix}2 & 1 \\ \frac{5}{3} & 1 \end{pmatrix} \)
D. \( \begin{pmatrix} -2 & -1 \\ \frac{5}{3} & 5 \end{pmatrix} \)
Question 8
Find the number of ways that the letters of the word EXCELLENCE be arranged.
A. \( \frac{10!}{2!2!2!} \)
B. \( \frac{10!}{4!2!} \)
C. \( \frac{10!}{4!2!2!} \)
D. \( \frac{10!}{2!2!} \)
Question 9
What is the geometric mean of 9 and 16 ?
A. 14
B. 18
C. 15
D. 12
Question 10
Evaluate : \( \frac{0.0028213}{0.634} \) and give your answer in standard form.
A. 4.45 x \( 10^{-3} \)
B. 4.45 x \( 10^{-6} \)
C. 4.45 x \( 10^{-5} \)
D. 4.45 x \( 10^{-4} \)
Question 11
Given \( M=N \sqrt{\frac{SL}{T}} \) make T the subject of the formula.
A. \( \frac{NSL}{M} \)
B. \( \frac{N^{2}SL}{M^{2}} \)
C. \( \frac{N^{2}SL}{M} \)
D. \( \frac{NSL}{M^{2}} \)
Question 12
The pie chart above shows all allocation of money to each sector in a farm. The total amount allocated to the farm is N 80.00.
A. \mathrm{N} 35,000
B. \mathrm{N} 40,000
C. \mathrm{N} 25,000
D. \mathrm{N} 20,000
Question 13
Find the area of a triangle PQR where line \( / \mathrm{PQ} /=36 \mathrm{~cm} \), \( / \mathrm{QR} /=15 \mathrm{~cm} \) and angle \( \mathrm{PQR}=90^{\circ} \).
A. 240 \mathrm{~cm}^{2}
B. 320 \mathrm{~cm}^{2}
C. 270 \mathrm{cm}^{2}
D. 220 \mathrm{~cm}^{2}
Question 14
\( \begin{array}{rcccccccc} Scores & 6 & 5 & 4 & 3 & 2 & 1 \\ Frequency & 9 & 8 & 7 & 0 & 7 & 1 \\ \end{array} \) Find the median of the distribution of scores above.
A. 4
B. 3
C. 2
D. 5
Question 15
Calculate the simple interest on N6500 for 4 years at 6%.
A. N1 200
B. N1 560
C. N2 400
D. N2 200

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: