 |
MSS511S - MATHEMATICS AND STATISTICS FOR SPATIAL SCIENCES - 2ND OPP - JULY 2022 |
|
|
1 Page 1 |
▲back to top |
AAMEBIR UBIVERSITY
OF SCIENCE AND TECHNOLOGY
FACULTY OF HEALTH AND APPLIED SCIENCES
DEPARTMENT OF MATHEMATICS
QUALIFICATION:
QUALIFICATION
CODE:
| COURSE CODE:
| SESSION:
| DURATION:
BACHELOR OF PROPERTY STUDIES/NATIONAL DIPLOMA IN
PROPERTY STUDIES/GEOMATICS
27DPRS, 27DLMR,| LEVEL:
27DLAD, 27BPRS
MsSS501S
COURSE
NAME:
JULY 2022
| PAPER:
3 HOURS
| MARKS
5
|
MATHEMATICS AND STATISTICS |
FOR SPATIAL SCIENCES
THEORY
|
100
|
| SUPPLEMENTARY/ 2ND OPPORTUNITY EXAMINATION QUESTION PAPER |
| EXAMINER
| Dr. Jacob Ong’ala
|
| MODERATOR
| Mr.Andrew Roux
|
|
INSTRUCTION
|
1. Answer all the questions
2. Show clearly all the steps in the calculations
3. All written work must be done in blue and black ink
4, You may refer to your notes or any other materials
THIS
QUESTION
PERMISSIBLE MATERIALS
Non-programmable calculator without cover
PAPER CONSISTS OF 5 PAGERS (including the front page)
|
|
2 Page 2 |
▲back to top |
SECTION A
QUESTION 1 - 16 MARKS
(a) Evaluate the following expressions
(i) ra (4 Si - + = = ; : = ma
(ii 2 -(¢ + 3) € x3)
[5 mks]
[3 mks]
(b) Simplify the following expressions completely
(i) [(s + 2t) — (s + 3t)] — [(2s + 3t) — (—4s + 5t)]
(ii) (a VbvVc3)(/aw/b2c*)
[3 mks]
[3 mks]
(c) A training college has 480 students of which 150 are girls. Express this as a fraction in its
simplest form.
[2 mks]
QUESTION 2 - 13 MARKS
(a) Factorise x? + 22 — 15
(b) Solve for f
=51(2(f2f —3)3)+5+(f51 (Ff -4) )+ig+2 = 0 :
[3 mks]
[4 mks]
(c) Use completing the square method to solve the following quadratic equations
0=2?-2r-8
[6 mks]
(d) Solve the following systems of equation (You may use any method)
2x -38y=10
3x-4y =8
QUESTION 3 - 08 MARKS
(a) A box of resistors increase in price from N45toN 52. Calculate the percentage increase. [2
mks]
(b) A wooden pole is 208 m long. If you divide it in the ratio of 7:19, what will be length of
each piece.
[3 mks]
(c) If y is inversely proportional to x and y=15.3 when x=0.6. Determine
(i) Coefficient of proportionality k
(ii) The value of y when x=1.5
[2 mks]
[1 mks]
|
|
3 Page 3 |
▲back to top |
QUESTION 4 - 10 MARKS
(a) Evaluate the angle z in the diagram below.
53°
44°
(b) In a triangle below, determine;
¥
(i) angle Z
(ii) side XZ
(iii) side XY
(iv) Area of triangle XYZ
[2 mks]
[1 mks]
[2 mks]
[2 mks]
[3 mks]
|
|
4 Page 4 |
▲back to top |
SECTION B
QUESTION 5 - 23 MARKS
(a) Indicate whether each of the following variables is quantitative or qualitative.
measurement scale. (example of data is shown in the bracket)
State its
[5 mks]
Variable
Countries (Namibia, S. Africa Zimbabwe)
Rating (Superior, Good, Average)
Temperature (13°C, 49°C, 0.74°C)
No. of students per subject (30, 70, 90)
Students ADM No (3749001,22003481)
Qualitative /Quantitative Measurement scale
(b) Using the data below, 15; 26; 13; 33; 22; 14; 27; 15; 32; 23; 5; 26; 25; 14; 34; 13; 15; 22; 15;
28; 10; 18; 21; 24; 20; 18; 34; 20
(i) Draw a frequency table for the following data
[10 mks]
(ii) Draw a Histogram for the above data
[8mks}
QUESTION 6 - 13 MARKS
Use the following set of data to answer the questions that follow;.
13 149 17 21 10 15 22 19 13
22 13 19 23 17 21 10 9 20 18
Calculate the following
(a) Range
(b) Mode
(c) Median
(d) Geometric Mean
(e) Arithmetic mean
(f) Variance
(g) Standard Deviation
(h) coefficient of variation.
[1 mks]
[1 mks]
(1 mks]
[2 mks]
[2 mks]
[2 mks]
[2 mks]
[2 mks]
QUESTION 7 - 17 MARKS
The Bradford Electric Illuminating Company is studying the relationship between kilowatthours
(thousands) used and the number of rooms in a private single-family residence. A random
sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-
Hours Rooms (thousands) Rooms (thousands).
(a) Find the correlation coefficient r
[9mks]
|
|
5 Page 5 |
▲back to top |
No. rooms (X
12
9
14
6
10
8
10
10
5
7
(b) Fit a regression model for the data
(c) Use the regression model above to find Y when X=30.
- END-
[6mks]
[2mks]