UNIVERSITY EXAMINATIONS: 2016/2017
EXAMINATION FOR THE BACHELOR OF SCIENCE
IN INFORMATION TECHNOLOGY
BIT 1110 MATHEMATICS FOR SCIENCES [DISTANCE LEARNING]
DATE: DECEMBER 2017 TIME: 2 HOURS
INSTRUCTIONS: Answer Question ONE and Any other TWO Questions
QUESTION ONE [30MARKS]
(a) What is the number of terms of the arithmetic progression, 15 + 21 +27 + …, that will
give a sum of 960? [3 Marks]
(b) The third term of a G.P. is 18, and the last term is 486. If the sum of the progression is
728, find the number of terms and the common ratio. [3 Marks]
(c) Differentiate between a sequence and a series. [2 Marks]
(d) Given that log102 = 0.3010 and log103 = 0.4771 and without using a calculator or
logarithm tables find: –
(i) log1015552.
QUESTION TWO [20 MARKS]
QUESTION THREE [20 MARKS]
(a) Differentiate between the following terms as used in statistics.
(i) Continuous and discrete data. [2 Marks]
(ii) Primary and secondary data. [2 Marks]
(iii) Quantitative and qualitative data. [2 Marks]
(b) Explain the main sources of secondary data. [5 Marks]
(c) Give two advantages and two disadvantages of each of the following methods of data
collection
(i) Personal Observation. [3 Marks]
(ii) Interviewing method. [3 Marks]
(iii) Self-Completion Questionnaires. [3 Marks]
QUESTION FOUR [20 MARKS]
(a) If sin θ =
13 , find (i) cot θ (ii) sec θ. [4 Marks]
(b) A surveyor is 8.2 meters from bacon A and 10.5 meters from bacon B. The angle as
measured from the surveyor between bacon A and bacon B is 280
. What is the
distance between the two bacons?
(d) A rocket with a range of 250 km is launched at sea with a bearing of 350
. (A bearing is
the angle measured clockwise form due north).
(i) How far north of its original position will the rocket land?
(ii) How far east of its original position will the rocket land?
QUESTION FIVE [20 MARKS]
