BIT 1110 MATHS FOR SCIENCE(DISTANCE LEARNING) KCA Past Paper

UNIVERSITY EXAMINATIONS: 2013/2014
ORDINARY EXAMINATION FOR THE BACHELOR OF SCIENCE
IN INFORMATION TECHNOLOGY
BIT 1110 MATHEMATICS FOR SCIENCES
[DISTANCE LEARNING]
DATE: APRIL, 2014 TIME: 2 HOURS
INSTRUCTIONS: Answer Question ONE and any other TWO

QUESTION ONE: [30 MARKS]
(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:-

QUESTION TWO: [20 MARKS]

[6 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]

QUESTION FIVE: [20 MARKS]

(c) The captain of a clipper ship C spots two other ships on the ocean. Ship A is about 5
km away and ship B is about 5.2 km away. The angle between the two sightings is
200
. How far apart are the ships A and B? [4 Marks]
(d) At a criminal trial, the witness gave the following testimony: “The defendant was 20
meters from the victim. I was 50 meters from the defendant and 75 meters from the
victim when the shooting occurred. I saw the whole thing.” Use cosine rule to show
the testimony has errors. [4 Marks]
(e) A rocket with a range of 200 km is launched at sea with a bearing of 300
. (A bearing
is the angle measured clockwise form due north).
(i) How far north of its original position will the rocket land?
(j) How far east of its original position will the rocket land? [4 Marks]

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