2015/2016 UNILAG Mathematics Post-UTME

$\mathrm{If} 1\mathrm{P}{122}_3 = {98}_{10}$

Where P is a digit, find the value of P

Convert ${10110}_2$ to a number in base ten

Express 462.3067 correct  to 3 decimal places

If x = #45000, what is the sum of x and q 3% of x?

If an item bought for N180.00 was sold for N225.00, calculate the percentage profit?

$\mathrm{Simplify} \frac{8{\displaystyle \frac{1}{2}}+3{\displaystyle \frac{1}{2}}+7}{1{\displaystyle \frac{3}{4}}+1{\displaystyle \frac{1}{2}}}$

$\mathrm{Find} \mathrm{the} \mathrm{value} \mathrm{of} 3\surd {\mathrm{n}}^9/27 \mathrm{if} \mathrm{n} = 3$

Express the number 0.0002513 in standard form?

$\mathrm{Evaluate} –3\surd 5 – 4\surd 3 ÷ \surd 5 – \surd 3$

From the Venn diagram above, the shade portion is

In a class of 40 students, 55% passed Mathematics 25% passed Physics and 20% passed both Mathematics and Physics. How many-passed neither Mathematics or Physics?

If s = \( \frac{1}{2} \scriptsize ( u \; + \;  v)t \)

Make V the subject of the formula.

If (y + 2) varies inversely as x and y = 3 when x = 2. find y when x = 5

If x – 2 is a factor of \(x^3 – x^2 – 14x + 24\) find  the other factors

Find the remainder when \(x^3 – 2x^2 + 3x + 1 \) is divided by ( x + 1)

Find the value of x for which the expression

${\mathrm{x}}^{3 }+ {\mathrm{x}}^{2 }– \mathrm{x} + 1 ÷ {\mathrm{x}}^2 – 4$ is undefined

A number is chosen at a random from 1 to 24 inclusive. What is the probability that the number is divisible by 5?

Find the ranges of values of s and t  if 2s + t < 9 and  s + 3t < 7

Find the solution of the inequality

$12 + 4\mathrm{s} – {\mathrm{s}}^2< 0$

Find the 4th term of an A.P. is 15, find the 3rd term of the series 3rd term of series  3 + r + s + ……………

Find the 10th  term of the sequence 1/9, 1/3, 1………..

A binary operation * is defined by a*b = \(Ö a × b^2 \). Find 9 * 2

The table above shows an operation * on the set numbers N = {1, 2, 3, 4}.

Find the identity element of the operation

Find the inverse of

$\left(\begin{array}{cc}8& –4\\ –7& 6\end{array}\right)$

$\mathrm{If}\left(\begin{array}{cc}7& 3\\ \mathrm{x}& \mathrm{x}\end{array}\right)= 24, \mathrm{find} \mathrm{x}$

The sum of the interior angles of a regular polygon is 1080°. Find one exterior angle of the polygon.

From the diagram above, O is the centre of the circle and  ∠POS = 120°. Find ∠PRS

If a right circular cylinder of base radius 5cm has a height of 7cm, find the quantity of water the cylinder can contain

A chord of a circle 40 cm long and its perpendicular distance from the center of the circle 15cm. Calculate the radius

Calculate the total surface area of a cylindrical pipe 100cm long whose  cross-sectional diameter is 7cm

$(\mathrm{p} = \frac{22}{7})$

R is on the locus of points equidistant from two given points P and Q. XY is a straight line through Q parallel to the locus. If is angle RQX = 40°, find the value of angle PRQ

A boy moves such that his distances from two fixed points (5, 3) and (7, 4) are always equal. Find the equation of the locus of the boy

If the midpoint of the line joining points P(m, n) and Q(1, 3) is R(2, 4), find the values of m and n, respectively

Find the gradient of the line joining points P(4, -1) and Q(-3, -5)

If the distance between the points (-3, -2) and ( 1, y) is 2√5 – units, find the value of y

A vertical pole is 50 m away from a point on a level ground, and the angle of elevation of the top of the pole from the point is 35°, find the height of the pole

In triangle PQR, Q = 30°, q= 8.6cm and r = 3.2cm. Find ∠PRQ, correct to the nearest degree

${\mathrm{Evaluate}}_{x\to 1} \mathrm{Lim} \frac{{\mathrm{x}}^2 – 1}{\mathrm{x} – 1}$

$\mathrm{If} \mathrm{y} = \frac{\cos \mathrm{x}+ 1}{\sin \mathrm{x} }, \mathrm{find} \frac{\mathrm{dy}}{\mathrm{dx}}$

Find the maximum value of the function $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^3–12\mathrm{x} + 5$

$\mathrm{Evaluate} {\int }_0^{\mathrm{p}2}(\mathrm{x} + \sin \mathrm{x})\mathrm{dx}$

$\mathrm{Find} \int (3{\mathrm{x}}^2 + 2\mathrm{x} + 6) \mathrm{dx}$

The pie chart above & lows the distribution of funds. If the total sum disbursed is N540000, what is the amount collected for education?

The table above shows the frequency distribution of goals scored in a football season. How many goals?

Find the mean Of  8.3, 11.2, 9.4, 13.8, 12.9 and 10.5

From the table above, find the number of students that scored at most 15

Find the mean deviation 1, 2, 3, 3 and 5

From the table above, the weights of 10 babies were obtained and recorded to the nearest kilogram.

Find the variance of the distribution

In how many ways can the letters of the word “BENZENE” be arranged?

If a die is tossed twice, what is the probability that the sum of the outcome is 6?