2019 UI Mathematics Post-UTME

If 1P122₃ = 98₁₀, where P is a digit, find the value of P

Convert  10110_two to a number  in base ten.

Express 462.3067 correct to 3 decimal places

If x = N45,000, 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

Simplify

$\frac{8^{1/2}+3^{1/2}÷7}{1^{3/4}+1^{1/2}}$

Find the value of

$3\sqrt{{\mathrm{n}}^9}/27 \mathrm{if} \mathrm{n} = 3$

Express the number 0.0002513 in standard form

Evaluate

$–3\sqrt{5}–4\sqrt{3}/\sqrt{5}–\sqrt{3}$

In a class of 40 students , 55% passed mathematics, 25% passed physics and 20% passed both mathematics and physics.How many passed mathematics or physics?

If 5 = 1/2(u+v)t make v the subject of 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 x3-x2-14x+24 of  find the other factors

Find the remainder when ,  is divided by (x+1)

Find  the values of x for which the expression x³+x²-x+1/x²-4 is undefined

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

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

Find the solution  of the inequality 12+4s-s²<0

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

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

A binary operation * is defined by

$a*b = \sqrt{a{x}^2}b Find 9*2$

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

Find the inverse of

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

If 

73xx=24  . Find x

The sum of the interior angles of a regular polygonis 1080⁰. Find one exterior angle of the polygon.

From the diageam above  O is the  center of the circleand DPOS =

1200

Find DPRS

If a right circular cylinder of base radius 5cm has a height of 7cm, find the  quantity of water the cylinder can contain.(p = 22/7)

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

Calculate the total surfacearea of a cylinder pipe 100cm log whose cross sectional diameter is 7cm(p = 22/7).

R is on  the locus of points equidu=istant from two given points P and Q. XY  is astraight line through Q parallel to the locus. If is angle RQX = 40⁰

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

If the mid point 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

$2\sqrt{5–}units$

,find the value of y

A vertical pole is 50m away from a point  on a level ground, and the angle of elevation  of the top of the pole  from the point is  35⁰ , find the height  of the pole.

In traingle PQR, Q= 30⁰, q = 8.6cm and r = 3.2cm Find DPRQ, correct to the nearest  degree

${13}^0$

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

If y = cos xsin x+1 , find dy/dx

Find a maximum value of the function f(x) = x² – 12x +5

${\text{Evaluate ∫}}_0^{\mathrm{p}/2}(\mathrm{x}+\mathrm{sinx})\mathrm{dx}$

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

The pie chart above shows the distribution of funds. If the total sum disbursed is N540,000 what is the amount collected for education?

The table above shows the frequency distributionof 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 of 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