UNIVERSITY EXAMINATIONS: 2012/2013
EXAMINATION FOR THE BACHELOR OF SCIENCE IN
BIT 1110 MATHEMATICS FOR SCIENCE
DATE: AUGUST, 2013 TIME: 2 HOURS
INSTRUCTIONS: Answer Question ONE and any other TWO Questions
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) ABC is a triangle whose base BC=45 cm. The point X on BC is such that
a) Two lorries A and B ferry goods between two towns which are 33120km apart. Lorry
A travelled at 5km/h faster than lorry B and lorry B took 4 hrs more than lorry A to
cover the distance. Calculate the speed of lorry B. (6 Marks)
b) Without using the calculator, find the value of in the equation
c) 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?
ii) How much interest did the money generate in the entire period. (5 Marks)
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.