UI Mathematics 2019/2020 Past Questions

The letters of the word "MATRICULATION" are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel.

The mean of the numbers 3, 6, 4, x and 7 is 5. Find the standard deviation.

The weights of 30 new-born babies are given as follows: 6, 9, 5, 7, 6, 7, 5, 8, 9, 5, 7, 5, 8, 7, 8, 7, 5, 6, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is

"Thirty boys and x girls sat for a test. The mean of the boys' scores and that of the girls were respectively 6 and 8. Find x if the total score was 468.

Two fair dice are rolled. What is the probability that both show up the same number of points?

Evaluate $∫^{3}_{2}(x^2 - 2x)$

Find the derivative of y = sin($2x^2$ + 3x - 4).

If $dy/dx = x + cos x$, find y.

If the maximum value of $y = 1+ hx - 3x^2 is 13,$ find h.

Ifs = (2+3t)(5t - 4), find ds/dt when t = 4/5 sec

Multiply (3x + 5y + 4z) by (2x - 3y + z)

Multiply (x+3y+5) by $(2x^2+5y+2)$

Multiply $x^2+x+1$ by $x^2-x+1$

The factors of $6x - 5 - x^2$ are

The quantity (x +y) is a factor of

The sum of $77/8$ and $11/3$ is less than the difference between and 1 by

Two distinct sectors in the same circle subtend 100° and 30° respectively at the centre of the circle. Their corresponding arcs are in the ratio

What is $log_{7}(49)^{a} - log_{10}(00.1)$?

What is the number whose logarithm to base 10 is 3482?

When a dealer sells a bicycle for N81 he makes a profit of 8%. What did he pay for the bicycle?

The prime factors of 2580 are

The radius of a circle is given as 8cm subject to an error of 0.2cm. What is the percentage error in the area of the circle?

A cone with the sector angle of 30° is cut out of a circle of radius r cm. Find the base radius of the cone.

Find the distance between two towns A(15°N, 20°W) and B(15°S, 20°W) if the radius of the earth is 6,400km$(π{22}/{7})$

The variance of the scores 1,2,3,4,5 is