UTME 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Find the range of the following set of numbers \( 0.4,-0.4, 0.3,0.47,-0.53,0.2 \) and -0.2.
A. 1.03
B. 0.07
C. 0.03
D. 1.0
Question 2
A ladder 9 m long leans against a vertical wall so that its upper end is 6.5 m from the ground. How far is the base of the ladder from the wall?
A. 8.5 m
B. 7.8 m
C. 5.6 m
D. 6.2 m
Question 3
Evaluate: \( \frac{0.00000231}{0.007} \) and leave the answer in standard form.
A. 3.3 x \( 10^{-5} \)
B. 3.3 x \( 10^{-3} \)
C. 03.3 x \( 10^{-4} \)
D. 3.3 x \( 10^{-6} \)
Question 4
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 5
Find the sum to infinity of the series \( \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \ldots \)
A. \frac{1}{2}
B. \frac{3}{5}
C. \frac{3}{2}
D. \frac{2}{3}
Question 6
Differentiate \( y=3 \cos 2 x-\sin 4 x \).
A. \( -6 \sin 2 x+4 \cos 4 x \)
B. \( 6 \sin 2 x+4 \cos 4 x \)
C. \( -6 \sin 2 x-4 \cos 4 x \)
D. \( 6 \sin 2 x-4 \cos 4 x \)
Question 7
Find \( \int\left\{x^{2}+3 x-5\right) d x \).
A. \( \frac{x^{3}}{3}-\frac{3 x^{3}}{2}-5 x+k \)
B. \( \frac{x^{3}}{3}-\frac{3 x^{2}}{2}+5 x+k \)
C. \( \frac{x^{3}}{3}+\frac{3 x^{2}}{2}-5 x+k \)
D. \( \frac{x^{3}}{3}+\frac{3 x^{3}}{2}+5 x+k \)
Question 8
If a rod 10 cm in length was measured as 10.5 cm , calculate the percentage error.
A. 5 %
B. 10 %
C. 8 %
D. 7 %
Question 9
What is the product of \( 2 x^{2}-x+1 \) and \( 3-2 x \)?
A. \( 4 x^{3}-8 x^{2} +5 x+3 \)
B. \( -4 x^{3}+8 x^{2}-5 x+3 \)
C. \( -4 x^{3}-8 x^{2}+5 x+3 \)
D. \( 4 x^{3}+8 x^{2}- 5 x+3 \)
Question 10
From the table above calculate the mean of the scores.
A. 3.2
B. 3.4
C. 3.1
D. 3.3
Question 11
The locus of a point which is equidistant from the line P Q forms a.
A. circle centre P
B. pair of parallel lines each opposite to P Q
C. circle centre Q
D. perpendicular line to P Q
Question 12
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 13
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 14
Calculate the simple interest on N6500 for 4 years at 6%.
A. N1 200
B. N1 560
C. N2 400
D. N2 200
Question 15
In the diagram above \( M N, P Q \) and \( R S \) are parallel lines. What is the value of the angle marked \( x \)?
A. \( 123^{\circ} \)
B. \( 170^{\circ} \)
C. \( 117^{\circ} \)
D. \( 137^{\circ} \)

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