School of Engineering
A113 UT Revision Worksheet Answers
1)
2)
3)
4)
5)
6)
7)
8)
21
0
12x - 22
(5 h) x 7
y
4
6 x 19
y
4
9
x
4
2
x
13
16
x
11
9) 33.5 = 46.77
10) 27
1
11) 2 10 or
1024
12) 648
13) x = 8
Figure 1. A download window
A typical file download window can be seen in Figure 1
above. In this window, you can find information such as the
estimated time left for the download to complete and the
For interval size (s) =
Total amount of data downloaded =
Time (s)
From
To
0
50
50
100
100
150
150
200
200
250
250
300
300
350
350
400
400
450
450
500
Downloading Speed (kB/s)
40.000
55.739
65.285
71.
Republic Polytechnic
A113 Mathematics
Worksheet 07: Everyday Statistics
What is statistics?
1. What is your understanding of the words statistics and statistic?
Statistics is a mathematical science pe
Republic Polytechnic
A113 Mathematics
Problem 07 - Practice questions
1 Suppose the average monthly wage in USA is $6,000 while the average
monthly wage in Bolivia is $3,000. Which of the following ar
We come across charts and data in newspaper articles
everyday like the ones in Newspaper.docx.
Examples of statistics-backed articles include:
1. General statistical information for the purpose of pub
Republic Polytechnic
A113 Mathematics
Practice Questions P08
1.
Which of the following event(s) is/are unlikely to have an effect on the yield of
the farmers crops during the harvesting season?
Event
Explore the following case studies and try to make sense of things.
Case Study 1: Quiz Show
On a quiz show held by a local TV station, the contestant is asked to
choose one of the three boxes. One of
Republic Polytechnic
A113 Mathematics
Worksheet 8: Making Sense of Things
Case Study 1: Quiz show
1. If you are the contestant taking part in the quiz show, would you switch your
initial choice of the
Date on which score was taken:
Day 1
Day 1
Day 1
Day 1
Day 1
Day 1
Day 1
Day 1
Day 1
Day 1
Day 2
Day 2
Day 2
Day 2
Day 2
Day 2
Day 2
Day 2
Day 2
Day 2
Day 3
Day 3
Day 3
Day 3
Day 3
Day 3
Day 3
Day 3
D
Republic Polytechnic
A113 Mathematics
Worksheet 09: Player Selection
Factors
1. As the team captain of the air rifle club, how would your choice of the player be
affected if:
a. one of the potential p
Republic Polytechnic is
sending a representative
to participate in an air rifle
competition.
This competition will have
one representative from
each polytechnic in
Singapore.
The contestant who scores
Republic Polytechnic
A113 Mathematics
Worksheet 06: Internet Download
Factors Affecting Download Speed
1. Discuss and list down some factors which affect how fast a file can be
downloaded from the Int
Republic Polytechnic
A113 Mathematics
Problem 06 - Practice questions
1 Find the area under the curve in Figure 1.
10
10
40
50
Figure 1
2 Find the area under the curve in Figure 2.
20
10
20
25
35
40
F
School of Engineering
Answers for A113 UT3 Revision Worksheet
1. a) 40320
2. a) 1680
3. a) 40320
4.
b) 5040, 0.125
c) 70
d) 336
b) 1
c) 84
b) 182
c) 29030400 d) i) 364 ii) 20 iii) 5.49%
Table 1
Score
School of Engineering
A113 UT1 Revision Worksheet
Algebraic Manipulation
Sequence of Operations
Without using calculator, evaluate the following expressions:
1)
(5 + 4 2) 3
2)
32 + 4 (23 + 32) 100
Alg
School of Engineering
A113 UT3 Revision Worksheet
Give your answers in 2 decimal places, where applicable.
Probability
Permutation and Combination
1. 8 people (represented by A, B, C, D, E, F, G and H
A113 Mathematics
UT3: Mock Understanding
Worked Solutions
by Jeffery Foo (Release 25-Aug-2012)
Section A (a, b)
a) Given that
13;5
4
2
13;5
4
= , find the value of a.
=
2
2 13 5 = 4
26 10 = 4
26
= 4 +
Republic Polytechnic
A113 Mathematics
Practice Questions P04
1. Given the following pair of prices, which pair(s) is/are not consistent?
a. $2 for 2 apples and 1 pear
$4 for 2 apples and 3 pears
b. $3
Republic Polytechnic
A113 Mathematics
Problem 04: Barbeque
Cost Factors
1. List some factors that will contribute to the total cost of barbeque food items incurred
by the buyers.
Number of food items
A113 Mathematics
Problem 02: Broadband
6th Presentation
Copyright 2009
Linear relationship
A linear relationship exists between different
quantities in many real-life situations.
For example, for the
A113 Mathematics
Problem 04: Barbeque
6th Presentation
Copyright 2009
Assumptions made
If Ash had doubled her purchases, her bill would
have doubled as well.
If Bob had bought the same combination o
The students of E18C decided to hold a
barbeque for class gathering and appointed
Fred as the organiser.
He decided to engage the services of
YumYum, a food catering company to
provide the food items
A113 Mathematics
Problem 03: Pushcart
6th Presentation
Copyright 2009
Mathematical modeling
Many real-life situations can be modelled using
mathematical functions.
For example in
Economics, we can
m
A113 Mathematics
Problem 05: Train Schedule
6th Presentation
Copyright 2009
Planning the train schedule
Examples of factors that your scheduling team
need to consider for todays problem:
Time taken
Republic Polytechnic
A113 Mathematics
Practice Questions P09
1. The following data shows the test marks (1 10) obtained by a group of students:
6
7
7
1
3
2
8
6
8
2
4
4
9
10
2
6
3
1
6
6
9
8
7
5
7
10
8
Republic Polytechnic
A113 Mathematics
Practice Questions P10
1. A student has 3 comic books and 4 story books.
a. How many ways can he arrange the 3 comic books on the first level of his
book shelf?
b
Republic Polytechnic
A113 Mathematics
Problem 10: Guess My Choice
Designing the pricing of the tokens
1. Referring to Scenarios 1, 2 and 3 mentioned in the problem statement,
a. Which scenario is most
Republic Polytechnic
A113 Mathematics
Problem 14: Salary
Effectiveness of Peters strategy
1. Analyse the set of data given to you, discuss the possible ways to compute the
average of the given set of
Republic Polytechnic
A113 Mathematics
Practice Questions P14
1. John surveyed a group of 32 RP students on the number of watches they each
owned. The data collected is summarized in the histogram belo