UI Mathematics 2011/2012 Past Questions

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

If y = 3cos4x, dy/dx equals

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

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

The derivative of cosec x is

The minimum value of y in the equation $y = x^2 - 6x + 8$

The slope of the tangent to the curve $y = 2x^2 - 2x + 5 at$ the point (1, 6) is

Two variables x and y are such that dy/dx = 4x-3 and y = 5 when x = 2. Find y in terms of x

7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11 years join the class, what is the average age of the pupils now in the class?

A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?

Bola chooses at random a number between 1 and 300. What is the probability that the number is divisible by 4?

Determine the mean monthly salary of 50 employees of a company from the following frequency distribution:

Monthly salary	Frequency
N20,000.00	10
N32,500.00	5
N10,000.00	20
N12,000.00	2
N6,000.00	10
N8,000.00	3

Find the mean deviation of 1, 2, 3 and 4.

If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8, then (M, D) is

In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

In a school, 220 students offer Biology or Mathematics or both, 125 offer Biology and 110 Mathematics. How many offer Biology but not Mathematics?

In a school, there are 35 students in Class 2A and 40 in class 2B. The mean score for class 2A in an English literature examination is 60.0 and that for 2B in the same paper is 52.5. Find to one place of decimals, the mean for the combined classes.

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1,4,0,0,5, 1,0,2,2, 1,3, 1,4 and 1. The mean, median and mode are respectively

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?

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?