1. technology and computing
2. computer certification

2
3
NTK PUBLISHING LIMITED
CONTENTS
NTK Publishing Limited is a subsidiary company of NTK Academic Group, a
leading educational service provider in Southeast Asia since 1996. With more
than 80 full-time teachers and over 20,000 former and current students who
have gained acceptance to top schools and universities worldwide under
the expert guidance of our faculty, NTK Academic Group is in the distinctive
position to oversee the publication of high-quality, international exam-oriented
study guides.
ADVANCING FROM IBMYP TO IBDP
Since the publication of our first study guide in 2006, NTK Publishing Limited
has grown to be a competitive force in international textbook markets. Our
products include IBMYP, IBDP, IGCSE, GMAT®, SSAT, SAT® Reasoning and
SAT Subject Test™ study guides. With more than 25 publications to date, we
are determined to evolve and expand while staying current with the latest
curriculum changes and the needs of students and teachers. Our study guides
have helped countless students achieve academic success.
With talented publishing professionals, as well as a host of skilled content
writers in different subject areas, NTK is a rising name in the publishing world.
IBMYP Mathematics Study Guide Level 3 New
p.4
IBMYP Mathematics Study Guide Level 4 New
p.4
IBMYP Mathematics Study Guide Level 5
p.4
IBMYP Chinese A Creative Writing Study Guide Forthcoming
p.5
IBDP Chinese B Writing Study Guide New
p.6
IBDP Chinese Language B Study Guide p.7
IBDP Physics Study Guide p.8
IBDP Chemistry Study Guide p.9
IBDP Mathematics Study Guide Forthcoming
p.10
IBDP Biology Study Guide Forthcoming
p.11
ACHIEVING TOP SCORES IN US EXAMS
SAT® Study Guide for Critical Reading and Writing
p.12
Perfect Score – SAT® Critical Reading and Writing
p.13
SAT® Reasoning Test Math Study Guide
p.14
SAT® Math Level II Study Guide
p.15
SAT Subject Test™ Chemistry Study Guide
p.16
SAT Subject Test™ Biology E/M Study Guide
p.17
SAT Subject Test™ Chinese Study Guide
p.18
SSAT Study Guide for Writing, Reading
Comprehension, and Verbal New
p.19
SSAT Math Study Guide
p.20
LEADING THE WAY TO SUCCESS IN UK EXAMS
IGCSE Biology Study Guide New
p.21
IGCSE Economics Study Guide
p.22
IGCSE Mathematics Study Guide New
p.23
GATEWAY TO THE MBA
GMAT® Companion – Data Sufficiency & Problem Solving
p.24
4
Advancing from IBMYP to IBDP
New
Advancing from IBMYP to IBDP
New
Forthcoming
ISBN: 9789881899040
ISBN: 9789881899071
ISBN: 9789881555472
ISBN: 9789881555519
Closely aligned with the latest IBMYP Mathematics curriculum
Prepares students for success in the IBDP Chinese A exam
Concise explanations of mathematical theories
Introduces 11 text types with annotated essays
Detailed examples with full answers
Useful vocabulary and expressions provided
Progressive level of difficulty from Levels 3 to 5
Extended level topics (in Levels 4 & 5) to prepare students for IBDP
Mathematics studies
‘Fun fact’ introduces students to relevant facts
to stimulate interest in learning mathematics
‘Example’ gives full illustrations
to various questions
Introduction to the text type
Annotated sample essay followed by useful
vocabulary and expressions
5
6
Advancing from IBMYP to IBDP
Advancing from IBMYP to IBDP
New
New
ISBN: 9789881555502
ISBN: 9789889883195
ISBN: 9789881555540
ISBN: 9789881899019
Available in traditional and simplified Chinese characters
Various writing formats with sample essays
50 exam-oriented sample essays with detailed analysis covering core and
option topics
Real-life scenarios used in reading, writing and oral sections
Useful vocabulary and practical grammar rules on all exam areas
Mock exam with suggested answers based on past IB exams
6 Practice Exams (3 SL & 3 HL)
Clear demonstration of wide-ranging text type formats
‘Text type introduction’ explains the
purpose and features of the text type
‘Format’ followed by ‘Sample essay’
reinforces students’ understanding
Text type and question format closely
follow the actual reading exam
Writing Formats and Sample Essays
㧋ゞ Format
IBDP Study Guide Chinese B Writing
㜖汣⁚仈
梊ⳟ抄₅㒖ℎ䚷冔Ὶ朢憩懝‡凾佁䠋⎉㎥㛅⎿䠓ⅰ₅Ҹ
ⵓ₅⁉蛆ŹŹŹŁŦŮŢŪŭįŤŰŮ
㛅₅⁉蛆źźźŁŦŮŢŪŭįŤŰŮ
Ὴ槛蛆řřřřřřřř
㝴㢮蛆ř〃ř㢗ř㝴ġ 㞮㢮řġ ᾙⓗġř蛆ř
E-mail
2ġ 梊ⳟ抄₅
⶙㛻䠓㦰朆蚻冐⾺蛆
E-mail
嬹㊪䠓䏇䏇蚻冐⾺蚻姷⭟蚻⶞㞝蛆
梊ⳟ抄₅䠓⽵ᾙ㝈ㅔ榗㮨㞝⁴ᾚ⡪↚㝈棱蛆ġ
Ȥġ ⵓ₅⁉梊抄
Ȥġ 㛅₅⁉梊抄
梊
ⳟ
抄
₅
Ȥġ Ὴ槛
Ȥġ 㝴㢮蚴〃㢗㝴蚻㞮㢮蚻⌆汣㟑朢蚵
IJҷ㈷⬌蚻⃯⬌蚻⃯↠⬌蚭⬌῔ᾜ嬚―蚭㎠棭⿇㊂ㆄ⃯蚸㢏慠ᾏ⎖抌⬌❝蛋
Ĵҷ㈷⬌蚻⃯⬌蚻⃯↠⬌蚭⃯䠓抄₅㎠ᾙ↚㞮㢮ⷀ㛅⎿―蚸⃕㞾㎠㢏慠ㄗㅨ蚸⎿䖍⢷㏜
㢘䰉⡭抄₅蚸䢮⶜ᾜ弆蚭⃯⢷抄₅㕟⎿ʫʫ
ĵҷ⃯⬌蚻⃯↠⬌蚭ㄗ汧厗㛅⎿⃯䠓抄₅Ҹ⃯⢷抄₅ᾼ㕟⎿ʫʫ
梊ⳟ抄₅䠓㳲㜖☛ᾏ去䠓㢇ⅰ㧋ゞᾏ㮲Ҹ
㳲㜖
2 E-mail
Text type introduction
An e-mail is a letter exchanged between users via the Internet.
梊
ⳟ
抄
₅
ijҷ㈷⬌蚻⃯⬌蚻⃯↠⬌蚭ㄗ῔㸡㢘㛅⎿⃯䠓抄₅―蚸ㄗ㞾㔪ㆄҸ
IJҷ⬌―蚸ᾜ⪩尹―蚸㎠嬐⵺⃫㫼―蚭㢮ㄔ⃯䠓⡭嬕Ҹ
ijҷ⾛㢪㎠䠓㊞嬚⶜⃯㢘䚷蚸䳘嗦蚻㢮ㄔ⃯䠓⡭嬕Ҹ
Ĵҷ⶜㝋憨₅‚⃯㢘⁏灋䢚㹤◱蛋㎠ㄗ⾛㢪刌刌⃯䠓㊞嬚Ҹ
In writing an e-mail, the top left of the message should contain the following information:
ĵҷ䫬⃯↠劌⪯㝸㝴ㇱㄸ㳲⿇䚮㻊Ҹ
• Sender’s e-mail address
• Recipient’s e-mail address
• Subject
ġ ġ 䫬
• Date (date - month - year / day / time)
䚮㻊㊘ㅺ蚸ⴇ㫼懁㳴蚭蚻
The format of an e-mail is the same as that of a letter.
㝸㝴うㄸ蚭
怺汣⇴う蚸⽴⃫榕⎸蚭蚻
⋡ⳟ蚻㢚╚蚻ⴇ䚮
▜⳦蚴ᾜ嬐⭢蚵
13
12
7
8
Advancing from IBMYP to IBDP
ISBN: 9789889883171
ISBN: 9789881899064
Precise and clear contents to minimise preparation time for the
examination
Contents written according to the latest IBDP syllabus
Examples and sample questions with detailed solutions in each chapter
3 Practice Exams (HL) with detailed explanations
Simple diagrams to illustrate
difficult concepts
Advancing from IBMYP to IBDP
Closely follows the IBDP syllabus
Covers both Standard and Higher Levels
Examples commonly found in past exam papers
2 Practice Exams (1 SL & 1 HL) with detailed explanations
Precise contents with full
illustrations to facilitate revision
‘Example’ features questions that frequently appear
in past exam papers
Covers both standard and higher levels
9
10
Advancing from IBMYP to IBDP
Advancing from IBMYP to IBDP
11
Forthcoming
Forthcoming
Forthcoming
Practice
P
ractice
test
test
iincluded
ncluded
Standard & Higher Level
ISBN: 9789881555403
ISBN: 9789881555489
ISBN: 9789881555441
Covers topics in the IBDP Math SL & HL syllabus, including Algebra,
Functions and Equations, Circular Functions and Trigonometry, Vectors,
Statistics and Probability, and Calculus
Concise explanations of key terms and concepts
Exam tip highlights important problem-solving techniques required in the
exam
Hundreds of examples with fully worked out solutions
Definition list summarises key terms in each chapter
Practice tests and hundreds of warm-up and exam practice questions
with answers provided for self-checking
Step by step annotations
‘Exam tip’ offers useful hints and
pointers to enhance exam success
End-of-chapter exercise with answers provided
‘Common mistake’ helps students
avoid making common errors in the exam
‘Aim’ and ‘Nature of science’ help students fulfil
the specific requirements in these two areas of the
syllabus
Paper 2
()
Show that g x =
1
.
x 2 − 25
()
1 Let f x =
Example 4-8
1− x
is the inverse function of f x = 1 − 2 x .
2
Solution
()
Let g x = 2 x − 1.
(
b Show that g  f
A geometric
Replace x by 1 − 2x in the equation
for g( x ) sequence is a sequence of numbers in which the ratio of any two
2
)( x ) =
(
)( )
− 1 and f  g x =
2
x − 25
(
c Find the set of values for which g  f
consecutive terms is always the same. The formula for the nth term is:
2
2x
2
=x
2.2 Geometric sequences and series
Chapter 1
There is an ethical dilemma of stem cell research: embryonic stem cells have the greatest potential in differentiating
into almost every type of tissue, which can be manipulated in therapeutic cloning. But with the current technology,
embryonic stem cells can only be obtained by destroying early-stage embryos.
a Write down the domain and range of f x .
Geometric sequences
( g f )( x ) = g (1 2x )
1 (1 2x )
=
AIM
()
()
1
2
( x + 2)( x − 3)
Therapeutic cloning is an ideal way to solve problems where patients are in need of organ transplants. Organs created
this way will not trigger immunological rejection and patients no longer need to wait for donated organs. Therapeutic
cloning involves the fusion of an enucleated (nucleus removed) egg with a somatic (body cells except sex cells) nucleus
and the extraction of inner cell mass of the embryo.
.
)( x ) ≤ ( f  g )( x ).
Egg cell
Reproduction — Producing offspring is one of the major features of living cells. Experiments
showed that cells could not be produced in a lifeless environment. Therefore, it is reasonable
to conclude that cells come from pre-existing cells.
Remove
nucleus
Paramecium, a unicellular organism, shows the features of life. The following diagram shows
the structures of Paramecium.
=
Also
( ( ))
f g x = f
un = u1r n−1
1 x
2
=1 2
=1
where un is the nth term of the geometric sequence
(
()
(1 x )
(
th
For the geometric sequence 3, 12, 48,… , find the n term and the first term that
exceeds 1000.
)( x ) = x and ( f g )( x ) = x, g is the inverse of f.
Solution
()
Find the inverse function of f x =
x +1
.
x
Given that u1 = 3, r =
y=
Let y = f ( x )
()
∴ un = 3 4
Solution
For
x +1
x
()
34
Swap x and y
(
xy = y + 1
xy − y = 1
(
)
y x −1 =1
Make y the new subject
y=
Replace y by f −1 ( x )
f −1 x =
()
1
x −1
( f  f )( x ) = f
−1
()
f −1 x
=
( x ) = x and ( f
3
3
()
y =careful
f x .when dividing
1 Let Be
by logarithms as they can
2 Swap
be xnegative.
and y. In this case,
the inequality sign will
3 Make y the subject.
flip when you divide by
the logarithm.
y by f −1 Itxwas
. fine
4 Replace
in Example 2-5 because
log 4 is positive.
> 1000
()
1000
4 >
3
1000
n − 1 log 4 > log
3
1000
log
3
+1
n>
log 4
n > 5.19
)
−1
f
)( x ) =
3
()
Micronucleus
Pellicle
COMMON MISTAKE
• Early stage embryos are just simply a ball of cells that have not developed the essential feature of a human being.
• Food vacuole contains nutrients which are engulfed from the surroundings.
• Not until day 14 will the nervous system of embryos be developed; embryos should not experience pain.
• The nucleus contains genetic information which controls cell’s activities. The genetic
information will also be passed to the next generation after cell division.
• Large number of embryos was produced in in vitro fertilization (IVF) which they were not given the chance of life. It
would be better to use the stem cell for research so to save lives rather than killing the embryos.
Many students confuse
the notation f −1 with the
reciprocal of a number.
1
1
E.g. 10−1 = , a−1 = .
10
a
• Contractile vacuole pumps excess water out of the cell when Paramecium lives in
freshwater environment.
Against:
• Cytoplasm contains enzymes to carry out chemical reactions.
• Embryos have the potential to develop into human beings; their chance to live should not be taken away from
anyone.
• Cell membrane is selectively permeable which controls substances moving in or out of
cells so it helps the cell excretes metabolic wastes.
• The embryo should be protected from the stage of fertilization onwards and being treated as a human being.
The inverse of a function
has nothing to do with
this. You can help yourself
by pronouncing f −1
correctly – it’s “f inverse”,
not “f to the negative one”.
It is still controversial that whether human beings have the right to destroy embryos and use them in developing a
mature technique for therapeutic cloning.
DEFINITION LIST
• Stem cells are undifferentiated cells that are capable to replicate to produce new genetically identical cells.
NATURE OF SCIENCE
Exceptions are possible even
if most organisms comply
with the cell theory, with
regard to the patterns and
dissimilarities observed.
• Osmosis is the passive movement of water molecules, across a selectively permeable membrane, from a region of low
solute concentration to a region of a high solute concentration.
6−1
Nuclei
• Osmolarity is the concentration of solute of a solution.
• Amphipathic properties refers to a compound has both hydrophilic and hydrophobic properties.
• Chromosome is condensed, visible structure of genetic materials that appears during mitosis of cell cycle.
Chapter 4 Introduction to functions
41
• Chromatin is invisible, loosely packed structure of genetic materials that appears during interphase of cell cycle.
• Oncogene is a mutated proto-oncogene that can cause cancer.
43
Muscle
fibre
6
Figure 1.5 Striated muscle fibres in
skeletal muscles (x400)
18
Algebra
Anal pore
Figure 1.4 Structures of Paramecium
For:
• Diffusion is the passive movement of particles from a region of high concentration to a region of a low concentration.
Introduction to functions
Cilium (plural: cilia)
Posterior contractile
vacuole
Several counter-arguments are made on stem cell research:
= 3072
Chapter 4
Food vacuole
Macronucleus
Pancreatic insulinproducing cells
x 3 = x.
()
1
x −1
Anterior contractile
vacuole
Extract
inner mass
Cultured pluripotent
stem cells
()
following steps:
EXAM TIP
Thus, the required term is u6 = 3 4
Blastocyst
Gullet
)( x ) = x.
()
For example, the function f x = x 3 has an inverse function f −1 x = 3 x because
()
12
=4
3
n −1
n−1
y +1
x=
y
Skin
cell
8-cell
stage
()
To find the inverse function f −1 x of a given function y = f x , we perform the
un > 1000
n−1
)( ) (
Hence, by definition, f  f −1 x = f −1  f
Example 2-5
Example 4-9
()
Somatic
cell nuclear
transfer
identity function I x = x . The inverse function of f x is usually denoted by f −1 x .
r is the common ratio
=x
As both g f
An inverse function performs the reverse operation of function f. If we composite a
function with its inverse, regardless of the order of composition, the result will be the
u1 is the first term of the geometric sequence
1 x
2
Fusion
4.3 Inverse functions
Cell biology
Homeostasis — A stable environment is important to the growth of a cell. For example, cells
have to pump excess water away when they live in a freshwater environment, otherwise
excess water uptake may cause the cell to burst.
Exceptions to cell theory
Cells contain sub-cellular structures which are enclosed by a cell membrane. This helps cells
to maintain a specific set of conditions to perform specific reactions inside the cell. Cells also
contain genetic information for cells’ functions. However, there are exceptions that do not
follow this cell theory’s statement:
Striated muscle fibre — Striated muscle fibres (Figure 1.5) are cells that are responsible for the
movement of humans. They are different from other cells that they contain more than one
nucleus in the cytoplasm.
Aseptate fungal hyphae — Fungal
hyphae are thread-like structures
that are composed of fungal cells.
However, the fungal cells in the
aseptate fungal hyphae (Figure 1.6)
merge to share the sub-cellular
contents such as the cytoplasm and
nuclei. So the cells are not divided by
the cell membrane as well as cell wall
in the hyphae.
Cell membrane
Vacuole
Nucleus
Cell wall
Figure 1.6 A diagram showing an aseptate fungal hypha
Giant algae — As with its name, the size of giant algae is bigger than a normal cell, which
the size is around 100 μm to 1 mm long. However, the giant algae can grow to a size as big
as 100 mm.
3
12
Achieving top scores in US exams
ISBN: 9789881555434
Challenging exercises that test students’ reading comprehension,
vocabulary, and writing skills
Comprehensive SAT style writing and critical reading practice questions
and exercises
®
A collection of 50 thought-provoking and amusing short stories, flash
fiction passages, and poetry inspired by 1,500 of the most commonly tested
SAT® vocabulary words
High scoring sample student essays
Detailed answer key that encourages self-assessment and improvement
Written by Ivy League experts in test preparation
A strong focus on SAT® -oriented
grammar
Achieving top scores in US exams
ISBN: 9789881555588
SAT® Critical Reading
ISBN: 9789881555571
Advanced reading comprehension strategies for college-level academic
prose
Specific skills and techniques for each type of question in the reading
comprehension section
8 skill-specific Practice Tests
SAT® Writing
In-depth writing mechanics for composing college-level essays: detailed
exercises and examples of perfect sentence, paragraph, and essay
structure
Full-length Practice Tests
An extensive glossary of the most frequently tested
SAT® words in the past 10 years
Advanced grammar demonstrated in the context of
famous authors
Advanced strategies for decoding excerpts
13
14
Achieving top scores in US exams
ISBN: 9789889883126
Achieving top scores in US exams
ISBN: 9789889883102
Essential examination formulae included in a formula sheet
Clear and detailed examples in each section
End-of-chapter exercises provided to consolidate knowledge
Revision note cards on essential formulae and theories
4 challenging Practice Exams with detailed solutions
Challenging practice exams designed to target high achievers
Written by SAT subject test™ preparation specialists
4 Practice Exams with detailed solutions
Written by SAT subject test™ preparation specialists
Formula sheets for quick revision
End of chapter practice questions
Over 100 removable revision note cards
Detailed examples with solutions
15
16
Achieving top scores in US exams
Achieving top scores in US exams
ISBN: 9789889883164
ISBN: 9789889883133
Self-contained and suitable content for students at any level
Covers both Biology E (Ecology) and Biology M (Molecular) sections
End-of-chapter questions provided to consolidate concepts
Clear diagrams and flow charts for illustrating difficult concepts
Practice Exams are modeled on the actual examination format
End-of-chapter exercises are provided to consolidate knowledge
4 Practice Exams with detailed solutions
2 Practice Exams (E/M) with detailed solutions
Written by SAT subject test preparation specialists
Written by SAT subject test™ preparation specialists
™
Clear summary at the end of each
chapter for consolidation
Concise notes and tables to
facilitate revision
Clear diagrams to illustrate
biology concepts
17
18
Achieving top scores in US exams
Achieving top scores in US exams
19
New
ISBN: 9789881899033
ISBN: 9789881555496
Detailed explanations of exam-related grammar
Summary of vocabulary commonly seen on past SAT® Chinese exams
Essential guide to understanding the SSAT and succeeding in the verbal,
reading and writing sections
Available in traditional and simplified characters
Hundreds of practice questions, including an SSAT Practice Test
6 full-length Practice Exams (covering listening, usage, and reading
comprehension) with detailed solutions
Written by experts in US boarding school application and test preparation
Written by SAT subject test™ preparation specialists
Comprehensive answer key that encourages self-assessment and
improvement
List of vocabulary commonly seen in exams
Detailed grammar explanations with examples
Hundreds of challenging practice questions
Essential strategies to achieve success
20
Achieving top scores in US exams
Leading the way to success in UK exams
New
ISBN: 9789881555458
ISBN: 9789889883188
Over 160 questions arranged by topic
Concise notes with clear illustrations and diagrams
Excellent examination drilling materials and tips to enhance test-taking
techniques
Consolidation exercise at the end of each chapter
Full-length practice test to familiarise students with the exam format
8 Practice Exams included (2 LL & 6 UL), closely resembling the actual
SSAT Math Test
Written by experts in US test preparation and boarding school application
Useful information about US boarding schools
Comprehensive question bank covering
both upper and lower level questions
Concise notes followed by
consolidation exercise
‘What’s more’ introduces useful facts to
enhance students’ knowledge in biology
21
22
Leading the way to success in UK exams
Leading the way to success in UK exams
23
New
ISBN: 9789881555410
ISBN: 9789881555526
In-depth explanations of terms and concepts
In-depth explanations of terms and concepts
Contextualised examples
Fully worked-out examples showing possible alternative approaches
Current and authentic global issues
Graded difficulty questions with answers
Accessible graphs and diagrams
End-of-chapter questions for effective exam preparation
Practical ‘Exam Tip’ and
‘Fun Fact’ provided
End-of-chapter questions check
students’ understanding
Key concepts presented in clear
diagrams to aid comprehension
Clear and concise notes introduce
fundamental concepts
Fully worked-out examples show possible approaches
Interesting facts to stimulate students’
interest in mathematics
24
Gateway to the MBA
ISBN: 9789881555427
Focuses exclusively on the Quantitative section
Covers all Data Sufficiency and Problem Solving question types
Questions varying over a scale of difficulty
More than 500 challenging questions
Answers to all questions are provided for systematic self-checking
Thorough practice on Data Sufficiency and
Problem Solving question types