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
14) x
13
6
15) gradient =
5
6
16) k 5
17) a) gradien

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
amount of data downloaded.
Figure 1. A download window

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 pertaining to the collection, analysis, interpretation or

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 are good ways to
represent the monthly salary of the resp

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 public
education
2. Agenda-based marketing through statist

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 A: The weather is very bad during the harvest season.
E

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 the boxes contains $1,000
cash. The other two boxes are

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 box? Why or why not?
Yes. Because Wins after change de

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
Day 3
Day 3
Day 4
Day 4
Day 4
Day 4
Day 4
Day 4
Day 4
Da

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 players has just sprained his left wrist?
b. one of the

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
the highest in the
competition wins.
There are four po

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 Internet.
Type of connection
2. It is often observed that

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
Figure 2
3 Estimate the area under the following graph g

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
Probability
Expected Frequency
when die is tossed 50
ti

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
Algebraic Expressions
Simplify the following expression:
3

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) were arranged in a line.
a) How many different possib

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 + 10
26
= 14
26
14
30 50
b) Find the value of h, given

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 for 4 apple and 1 pear
$6 for 8 apples and 2 pears
c.

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 bought
2. Referring to Table A and Table B in the Probl

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 purchase of bananas in a
supermarket, the cost of 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 of food
items as Jack and Jill combined, then Bobs bill

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 for the barbeque.
One day, while attending an IG
activi

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
model the relationship
between the demand (or
the supply

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 to complete the journey has to be within
stipulated tim

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
1
5
8
Draw a frequency table for the data.
2. Find the

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. How many ways can he arrange the 4 story books on the

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 likely to happen? Explain your choice.
Position1:
1/5

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 data and consider the effectiveness in each case.
2. Wh

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 below:
a. How many students in this group owned exactly 3 w