UI Mathematics 2018/2019 Past Questions

If y = $(1 - 2x)^3$, find the value of dy/dx at x = -1

If y = 3cos4x, dy/dx equals at x = -1

Integrate ${1-x}/{x^3}$ respect to x

Integrate ${1-x}/{x^3}$ respect to x

The derivative of cosec x is

A pyramid is constructed on a cuboid. The figure has

A quadrant of a circle of radius 6cm is cut away from each corner of a rectangle 25cm long and 18cm wide. Find the perimeter of the remaining figure.

A rectangular picture 6cm by 8cm is enclosed by a frame 1/2cm wide. Calculate the area of the frame.

A regular hexagon is constructed inside a circle of diameter 12cm. the area of the hexagon is

A regular hexagon is constructed inside a circle of diameter 12cm. the area of the hexagon is

${1.28 x 10^4}/{6.4 x 10^2}$ equals

A man and wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?

Add the same number to the numerator and denominator of 3/18. If the resulting fraction is 1/2, then the number added is

After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?

Assuming log_e 4.4 =1.4816 and log_e7.7 = 2.0142, then the value of loge 1/4 is

If y = 2x² + 9x - 35 find the range of value for which y < 0

If $x_10 = 10101_2$, find x

Calculate the curved surface area of a cone 14cm in base diameter and 24cm high

Without using tables, simplfy ${ln√{216} - ln√{125} - ln√{8}}/{2(ln 5 - ln 3)}$

If N3,000 yields N900 in x years simple interest at the rate of 10% per annum, find x

A die has four of its faces coloured red and the remaining two coloured blue, what is the probability that when the die is thrown twice, the top face will be blue in both cases?

List all integers satisfying the inequality -4 ≤ 3x-5<7

if the quadratic function $3x^2 - 7x + R$ is a perfect square, find R

Add the same number to the numerator and denominator of $5/9$ if the resulting fraction is $1/3$, then the number added is

$(1.28 × 10^4)$ divided by $(6.4 × 10^2)$ equals