FPMA 0901 Cabarrus College of Health Sciences Exam Practice

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Final Examination
Spring 2021
Course Name
Date
APPLIED MATHEMATICS Course Code
20-06-2021, Sunday
Time
FPMA0901
12:00 – 2:30 PM
General Instructions:
This exam lasts 2:30 hours including the upload time of your answers and
worth 40% of your final mark for your course FPMA0901.
During the examination time, from the beginning of the exam to till you
complete your exam join into the Google meet/Microsoft Team
meet/Zoom meet by enabling your video and mute your mike. You will
receive the meet link either from your teacher or from the examination
committee.
Before the commencement of the exams you have to keep all your
required necessary stationary things along with you.
Set out your work properly. Be clear, neat and concise.
Write the answers clearly using pen in A4 size papers only, and then take
a scan or photo image to attach the copies through Blackboard.
Before writing the answers, don’t forget to write YOUR NAME and ID
NUMBER in each of your answer papers.
If your submission is late, you may lose your scores. On time submission
will be appreciated.
/——-
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Answer ALL the questions [5 marks each, 8 x 5 = 40 marks]:
Q1. Let 𝑓: 𝑅 → 𝑅 be the quadratic function defined by 𝑓(𝑥) = 𝑥 2 − 4𝑥 − 5. Find
(i)
the vertex
[0.5] (ii) the range
[1]
(iii) the axis of symmetry
(v)
[0.5] (iv) the x-intercepts
the graph of the function f
[1]
[2]
Q2. Let 𝑓 𝑎𝑛𝑑 𝑔 be the functions defined by 𝑓(𝑥) = √9 − 𝑥 2 , 𝑔(𝑥) = √1 − 𝑥.
Then find
(i)
(𝑓 + 𝑔)(−3)
[1]
(ii) (𝑓 ∙ 𝑔)(0)
[1]
(iii) (𝑓𝑜𝑔)(−3)
[2]
(iv)
1
𝑔−1 ( )
2
Q3. (a) Draw the graph of 𝑦 > 3𝑥−1
(b) Solve 𝑙𝑜𝑔3 𝑥 = 1 + 𝑙𝑜𝑔3 (𝑥 − 2)
[1]
[3]
[2]
Q4. A person invests an amount of 2000 OMR in a Bank with the rate of 7% compounded
yearly.
(i)
Find the amount after 5 years.
[2]
(ii) After how long will it take for the initial investment to double? [3]
Q5. For the given triangle, find the value of 𝐵𝐶
[1]
(b) sin 𝜃 =_____________________
[1]
(c) cos 𝛽 =_____________________
[1]
(d) 𝛽 = __________ and 𝜃 = ___________
[2]
2|Page
Q6. Choose the correct name for the given angles.
Right, straight, supplementary, acute, obtuse and reflex.
i) 900 =_________________________________ angle
[1]
ii) 320 =_________________________angle
[1]
iii) 1270 =_________________________________ angle
[1]
iv) 2500 =_________________________angle
[1]
v) 1800 = _______________________________ angle
[1]
Q7. The age group of people working in private companies and the number of people is
given below:
Age
20 – 28
Group
Number
18
of people
Using the given data:
i.
ii.
iii.
iv.
28 – 36
36 – 44
44 – 52
52 – 60
60 – 68
24
15
14
11
8
Draw a histogram.
Find the number of people above the age of 52 who are working.
Which age group works in private companies the most?
Find the mean of the given data.
[1.5]
[0.5]
[0.5]
[2.5]
Q8. A survey was conducted on a group of 500 people to understand their mobile operators
in they use in Oman, and the data is tabulated as given below:
NonTotal
Omani
Omantel 100
55
155
Ooredo
70
50
120
Friendi
55
75
130
Renna
30
65
95
Total
255
245
500
If a person is selected at random, find the probability that:
Omani
i.
ii.
iii.
iv.
v.
the person is an Omani
the person is a Non-Omani AND uses Renna
the person uses Oreedo OR is an Omani
the person is a Non-Omani Given that using Friendi
the person doesn’t use Omantel
[0.5]
[0.5]
[2]
[1]
[1]
End of Exam
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histogram

Initial investment

Quadratic Function

mobile operators

compounded yearly

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