UNIVERSITY EXAMINATIONS: 2011/2012
YEAR 1 EXAMINATION FOR THE BACHELOR OF SCIENCE IN
BIT 1110 MATHEMATICS FOR SCIENCE
DATE: APRIL 2012 TIME: 2 HOURS
INSTRUCTIONS: Answer Question One and Any other Two Questions
a) Derive the quadratic formula.
a) The first, the third and the seventh terms of an increasing arithmetic progression are three
consecutive terms of a geometric progression. If the first term of the arithmetic progression is 10,
find the common difference of the arithmetic progression. (5 Marks)
b) At the beginning of every year, a lady deposited Ksh 10 000 in a financial institution which paid
compound interest at the rate of 20% p.a. She stopped further deposits after three years. The money
remained invested in the institution for a further eight years.
i) How much money did she have at the end of the first three years? (5 Marks)
ii)How much interest did the money generate in the entire period
a) Rice costs x Kshs for one kilogram. When rice costs Kshs (x -2) for one kilogram, Sindani found
that he can buy 3 Kg more for 1000 kshs. Form an equation in x and solve it to find the original
price of one kilogram of rice. (Give your answer to the nearest 5 cents. (6 Marks)
b) Without using the calculator, find the value of
a) In how many ways can a class of 20 children be split into two groups of 8 and 12 respectively if
there are twins in the class who must not be separated? (6 Marks)
b) Determine the probability of having your birthday on a Sunday.