## MATH Tuition

# Don't get left behind - your grades determine the class, school, junior college, polytechnic and university that you are accepted into

About 70% of our customers are repeat clients – they either hire tutors from us for additional subject(s) for the same child, or they hire tutors for their other children.

Learn Fast is trusted. Because our tutoring methods work.

## Since 2009, we have transformed our students' fail grades to b's and A's at the national exams

## Write your own MATH success story. Starting today

## Singapore's Most trusted tuition agency

- 37,000 qualified and experienced tuition teachers
- Over 35% of our tutors have PhD’s, Master’s, or are NIE-trained current/ex-MOE teachers
- 85% of our tutors are graduates or undergraduates from Singapore’s best publicly-funded universities (NUS, NTU, SMU, SUTD, SUSS and SIT)
- Over 96% of tutors who apply to join the Learn Fast team have at least a Bachelor’s – or are about to achieve one – from the top local universities or the best universities globally (Oxford, Cambridge, Ivy League)
- All of our tutors scored A’s in the subjects that they are teaching
- Our tutors have between 2 to over 30 years of home tuition experience
- All of the tutors whose profiles we show you have strong proven records of rapidly boosting their students’ grades
- Non-performing tutors are not included in our database

## transform your grades. today.

## Whatsapp: 97788-200

## learn fast.

Hire singapore's most effective math Tuition Teacher

## How to choose a good tuition agency

## Good tutors want to be represented by a reputable tuition agency

The size of the tutoring team is very important. The larger the team, the better the chances that the tuition coordinator can find the best tutor whose experience and qualifications suit your requirements. You should choose agencies that have a minimum of 20,000 home tuition teachers in their database.

At least 30% of a credible tuition agency should consist of tutors who have PhD’s, Master’s or are NIE-trained MOE current/ex teachers. The better tuition teachers want to join only the best tuition agencies. They know that dependable tutor agencies have more clients, and numerous good assignments for them to choose from every day.

Many of our parents/students avoid agencies that have more than 20% of their tutors whose highest academic qualifications are polytechnic diploma’s or junior college certificates. The market rate of hourly fees charged by experienced university undergraduates is $30/hr, and the rates tutors who had stopped studying at JC or polytechnic levels is $20/hr to $25/hr.

How would you be able to know if a tuition agency’s database comprises mainly of lower-qualified tutors? Their websites will always emphasize “affordable tuition rates” as their main or only attraction. Given that the difference in monthly rates between a polytechnic graduate and a university graduate is only about $30 – and in most cases, are at the same rates or sometimes even lower than group tuition – “affordable tuition rates” shows up in websites whenever a tuition agency does not have tutors whose other clients are already paying them higher rates.

Parents would pay rates that they feel are fair and appropriate, according to the tutor’s track record, academic qualifications, and number of years of experience. Tutors accept an assignment based on hourly rates, the grade target/current level of skills of the student, and the availability of slots in their teaching schedules.

University undergraduates or graduated tutors tend to have easily scored comfortable A’s in the subjects that they teach, and most parents would of course prefer that their children are taught the correct content, as well as skills in answering difficult questions. If the tutor was not able to score A in say Physics, can he/she help you score an A?

Good tuition agencies require that their tutors have at least 2 years of tutoring experience before including their details into the tuition agency database. This is to ensure that the tutor has the requisite commitment to being a good tutor, as well as the relevant experience and track record of improving their students’ grades, and are not experimenting with your child’s academic future.

Be wary of tuition agencies that promise to show you profiles “immediately”. If a tuition agency has a large pool of eligible and qualified tutors to reach out to for your assignment, it takes time for good tuition teachers to respond. Agencies that get back to you “immediately” with tutor profiles are either not thorough, or worse, have only a very small tutor database. Good home tutors might not respond immediately when they receive tuition assignment messages – because they are very likely to be busy teaching during that time and are not desperately and idly sitting around hoping for messages to arrive. Tuition teachers typically apply for assignments between 4 to 18 hours after they have received the assignment message. If a tutor waits too long, it might indicate that the tutor is not keen to take on more assignments at that hourly rate, or worse, has time management/punctuality issues. A good timeframe for a dependable tuition agency to get back to you with profiles of responsible tuition teachers should be 1 to 2 working days after you have given them the description of what you are expecting of your tutor.

Trustworthy tuition agencies hire university graduates as their tuition coordinators because graduated coordinators can properly understand the academic and learning needs of tuition students. There is no difference in the hourly rate that you pay to your home tutor, so you might as well get the best value for money and professional service when you are looking for a good home tuition agency.

Tuition coordinators who are university graduates will be able to ask the assignment applicants the right questions in order to assess if he or she is truly able to teach according to your requirements – even if the tutor claims to have 8 to 10 years of tuition experience. Because at least 70% of each age cohort has at least a Bachelor’s degree, it will be easy to find tuition agencies that hire only university graduates as their tuition coordinators. How would you know if the coordinator is likely to have at least a Bachelor’s? His or her English grammar and vocabulary, when you call or Whatsapp the agency.

Look at the tuition agency’s Facebook posts. The passion that the tuition coordinators and management have for the MOE subjects clearly shows if the agency is really qualified to help you find suitable tutors. If the tuition agency cannot be bothered to post the latest content and interesting developments that engage their discerning tutors, parents and students, would this tutor agency genuinely have enough outstanding tuition teachers?

The way that the tuition agency prepares the tutor profiles indicates the quality of the tutor. Parents tell us that “testimonials” that are featured on websites of some tuition agencies are dodgy – who knows if these are real or made-up, even when there are “screenshots of comments by parents/students”? When you read the tutor profiles that tuition agencies send to you, the tuition teachers who are truly successful would be able to clearly elaborate on their teaching achievements, the schools and university that they and their students attended, and MOST importantly, the type of grade improvements they helped their students achieve. If a tutor does not describe all this important information well, then their teaching method might be blunt, cold, and might not tailor the teaching suit your learning style. And this tutor probably has limited abilities to help your grades improve.

## give your MATH grades a makeover

## you are scoring low c's or high b's, and want a strong a

You will lose valuable marks when you simply just memorize formulas and content, but do not REALLY know when and how to use or apply them.

Carelessness and nervousness also cause students to lose marks.

Some tuition teachers are lazy, and they would take up the entire 1.5 or 2 hours with their students by making them practice on workbooks again and again.

Or worse still, they make you memorize “model” answers in the hope of being able to “guess” or “predict” the topics and questions that will be tested.

These methods are dangerous.

Imagine how terrified you will feel when you find that most of the actual questions in your school or national exam are not the ones that your tutor and you “spotted”.

If you do not know why and what are the exact mistakes that you are making, you are training yourself to keep repeating the bad habits of using the wrong content and answering methods.

When you start to get used to these very unacceptable routines, you will have more difficulty in nurturing your capacity to logically and calmly analyze what the exam question wants you to do.

Any effective tuition teacher who had himself/herself scored an A for that subject (and who has extensive tutoring experience) would know that the current MOE syllabus arranges all the topics within the curriculum in an integrated way, to test the student’s ability to apply the fundamental and advanced knowledge that was learnt.

Professional and experienced tuition teachers from Learn Fast will help you connect the concepts across topics, which is a very important skill that you absolutely need to have, in order to get your A.

## hire a winner

It is very easy for parents to find tuition teachers who are university graduates or undergraduates – because there are already so many of them now, in Singapore.

Every year, there are over 40,000 Singaporean students (Year 1 to Year 4, Master’s, PhD etc) studying at the NUS campus alone.

At least 40% of each cohort of people born in the same year are accepted into the government-funded universities (NUS, NTU, SMU, SUSS, SIT and SUTD).

Another 20% to 30% of this same cohort would have graduated from university-level programmes offered by private institutions, after they completed their polytechnic or junior college studies.

This means that 70% of every cohort of people born in a certain year would have at least a Bachelor’s degree.

Over 96% of tutors who apply to join the Learn Fast team have at least a Bachelor’s – or are about to achieve one – from the top local universities or the best universities globally (Oxford, Cambridge, Ivy League).

Our agency selects only experienced undergraduate or graduated tutors who are patient, committed, and who are professional tuition teachers.

Most of all, they MUST have a proven track record of delivering improvements of 10 to 30 marks for their recent students, before we include them in our database and tutoring team.

**This way, our clients know that they are hiring winners who can quickly help their children’s grades improve dramatically within 1 to 2 semesters.**

## The latest Moe syllabus does not reward STUDENTS WHO BLINDLY MEMORIZE

You can score much higher marks once you can successfully answer exam questions that require you to analyze and connect concepts across 2 or more topics.

A textbook is only as good as the teacher who uses it.

The textbook is designed as the main source of information.

However, we all know that national exams often ask questions that are not found in the textbook.

Students from average mainstream schools wrongly assume that learning is simply just a collection of basic facts and figures. And that their textbook has all the answers to all the questions that appear in exams.

Weaker students tend to see learning as an accumulation of “correct answers”. They would therefore think that plainly memorizing these “correct answers” will help them to pass or achieve a B3.

It is very risky for you to look at crucial content from only one perspective, or to focus purely on the content that is recommended in the textbook.

Students in the good schools never rely on only one source of information because they know that the exam questions expect them to be able to connect SEVERAL related or seemingly-unrelated concepts in order to arrive at the acceptable answer for challenging and tricky exam questions.

## The main reason for scoring low grades IS: "I can't understand the content"

Different students have different starting points.

Something that may be easy for one student (or one of your children) may not be so easy for someone else.

Everyone learns differently, whether it be faster or slower than normal. Some of us learn better by writing, reading or discussing.

Catch up now, before you continue lagging behind even further, during the remainder of the academic year.

Right now is the perfect time for you to close up your learning gaps in that difficult chapter.

If these gaps aren’t addressed before the next chapter starts,

these learning gaps will only WIDEN, and you will find it much harder to catch up to your peers. Your grades will suffer, and you will hate that subject. While your classmates are able to go on to score an A.

Studying is easier when you are taught proven methods to learn what is difficult to you.

Learn Fast has the expertise to help you to do very well.

We will teach you how to focus on processes and techniques that produce higher marks, instead of requiring you to memorize and write useless notes and answers.

Our exceptional tuition teachers will show you the quickest and most efficient way to understand complicated content, so that you can swiftly achieve subject mastery in Math.

## Achieve a breakthrough in the subject you are now dreading

## Our tutors are approachable and friendly

All because we are expert tuition teachers, it does not mean that our lessons have to be boring.

Many students start lessons with our tuition teachers feeling afraid of the subject, because they are discouraged by their previous experience and feel too overwhelmed (or embarrassed) to approach the subject positively.

Home tutors that are skillful in listening and observing often pick up on what isn’t being said – such as any underlying anxieties that a student may have.

Indeed, if an educator can truly understand a student, he or she can then target the root causes of the student’s low marks. This will open the door for the student to readily receive and learn the content that is being taught.

An effective tutor needs to be adaptable. This is because students often have different moods (enthusiastic, desperate, reluctant, friendly) during each of the tuition sessions. The tuition teacher has to adapt the teaching strategy to handle each of these moods, in order to be productive.

If you were to imagine the perfect teacher that you want to be teaching you that difficult content or subject, you’re going to want someone who is very engaging in front of the student.

Our tuition teachers know that it is so important to be observant, patient, flexible, empathetic and to always have a positive attitude.

## Singapore's Most trusted tuition agency

- 37,000 qualified and experienced tuition teachers
- Over 35% of our tutors have PhD’s, Master’s, or are NIE-trained current/ex-MOE teachers
- 85% of our tutors are graduates or undergraduates from Singapore’s best publicly-funded universities (NUS, NTU, SMU, SUTD, SUSS and SIT)
- Over 96% of tutors who apply to join the Learn Fast team have at least a Bachelor’s – or are about to achieve one – from the top local universities or the best universities globally (Oxford, Cambridge, Ivy League)
- All of our tutors scored A’s in the subjects that they are teaching
- Our tutors have between 2 to over 30 years of home tuition experience
- All of the tutors whose profiles we show you have strong proven records of helping their students’ grades improve
- Non-performing tutors are not included in our database

Ms GYL has 9 years of Math tuition experience. She has a PhD in Mathematics from the University of Cambridge. Ms GYL’s Bachelor’s in Mathematics was from NUS (First Class Honours). Ms GYL was an MOE relief teacher for 3 years. Her private tuition students attended Pei Chun Public School, Maha Bodhi School, Catholic High School Integrated Programme, CHIJ Secondary (Toa Payoh), Eunoia Junior College, and Anglo-Chinese Junior College.

Mr YMS has 14 years of Math tuition experience. He is NIE-trained and taught at MOE schools for 12 years. Mr YMS has a Bachelor’s in Applied Mathematics from NUS (Honours). His private tuition students attended Cedar Primary School, Fuhua Primary School, Nanyang Primary School, Ai Tong School, De La Salle School, and St Anthony’s Canossian Primary School.

Ms PLE has 13 years of Math tuition experience. She is NIE-trained, and taught at leading MOE schools for 9 years. Ms PLE has a Bachelor’s in Data Science and Artificial Intelligence from NTU (Honours). Her private tuition students attended Cedar Girls’ Secondary School Integrated Programme, Loyang View Secondary School, Anglo-Chinese School (Independent), Punggol Secondary School, Teck Whye Secondary School, and Victoria School.

Mr ATW has 10 years of Math tuition experience. He has a Bachelor’s Mathematical and Computer Sciences from NTU. Mr ATW taught at a tuition centre for 3 years. His private tuition students attended Dazhong Primary School, Henry Park Primary School, Jurongville Secondary School, Anglican High School, Jurong Pioneer Junior College, and River Valley High School.

Ms OYR has 15 years of Math tuition experience. She has a PhD in Mathematics from the London School of Economics and a Bachelor’s in Mathematics from NUS (First Class Honours). Her private tuition students attended National Junior College, Raffles Institution, Victoria Junior College, Yishun Innova Junior College, Dunman High School, and Anglo-Chinese Junior College.

Mr HFM has 11 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (2^{nd} Upper Class Honours). Mr HFM was a relief teacher at one of Singapore’s top schools for 2 years. His private tuition students attended Raffles Girls’ Primary School, Keming Primary School, Hua Yi Secondary School, Maris Stella High School, Jurong Pioneer Junior College, and National Junior College.

## Learn Fast

Ms EE has 6 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS (First Class Honours). Ms EE was a contract teacher at a top MOE school for 2 years. Her private tuition students attended Zhangde Primary School, Catholic High School (Primary), Teck Whye Secondary School, Maris Stella High School, Nanyang Junior College, and St Joseph’s Institution.

Ms GWR has 10 years of Math tuition experience. She is NIE-trained and taught at MOE schools for 5 years. Ms GWR has Bachelor’s in Mathematical Sciences with Minor in Finance from NTU. Ms GWR’s private tuition students attended Greenridge Secondary School, Montfort Secondary School, Admiralty Secondary School, Xinmin Secondary School, CHIJ St Joseph’s Convent, and St Andrew’s Secondary School.

Mr CS has 6 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS. Mr CS taught at a tuition centre for 1 year. His private tuition students attended Nanyang Primary School, Keng Cheng School, Bukit Panjang Govt. High School, Bartley Secondary School, Catholic Junior College, and Raffles Institution.

Ms CJH has 8 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms CJH was an MOE contract teacher for 3 years. Her private tuition students attended North View Primary School, Pei Tong Primary School, Qifa Primary School, Bartley Secondary School, Kent Ridge Secondary School, and Nan Hua High School.

Ms LSP has 12 years of Math tuition experience. She has a Bachelor’s in Mathematical and Computer Sciences (Double Major) from NTU (Honours). Ms LSP was an MOE contract teacher for 3 years and had taught at tuition centres for 5 years. Ms LSP’s private tuition students attended Raffles Girls’ Primary School, Sembawang Primary School, Northland Secondary School, Hai Sing Catholic School, Jurong Pioneer Junior College, and Hwa Chong Institution.

Ms RE has 10 years of Math tuition experience. She is NIE-trained, and taught at top junior colleges for 9 years. Ms RE has a Bachelor’s in Data Science & Analytics (2^{nd} Upper Class Honours) from NUS. Her private tuition students attended St Andrew’s Junior College, Hwa Chong Institution, Anderson Serangoon Junior College, Dunman High School, Catholic Junior College, and River Valley High School.

Mr CMB has 7 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (Honours). Mr CMB was an MOE contract teacher for 1 year and he taught at tuition centres for 4 years. Mr CMB’s private tuition students attended West Spring Primary School, Haig Girls’ School, Guangyang Secondary School, Nan Hua High School, Jurong Pioneer Junior College, and Yishun Innova Junior College.

Ms SP has 9 years of Math tuition experience. She has a Bachelor’s in Mathematical Sciences from NTU (Honours). Ms SP taught at a tuition centre for 3 years. Her private tuition students attended Yishun Primary School, Fairfield Methodist School (Primary), Bukit Merah Secondary School, Commonwealth Secondary School, Hwa Chong Institution, and Raffles Institution.

Mr KM has 16 years of Math tuition experience. He has a PhD in Financial Mathematics from the University of California, Berkeley. His Bachelor’s in Applied Mathematics was from NUS (First Class Honours). His private tuition students Victoria School Integrated Programme, NUS High School of Mathematics and Science, Nanyang Girls’ High School Integrated Programme, Methodist Girls’ School (Secondary) IB programme, CHIJ St Nicholas Girls’ School Integrated Programme, and Hwa Chong Institution.

Ms KNT has 8 years of Math tuition experience. She has a Bachelor’s in Mathematical Sciences and Economics (Double Major) from NTU. Ms KNT was an MOE contract teacher for 1 year. Her private tuition students attended Canossa Catholic Primary School, Anglo-Chinese School (Junior), Yusof Ishak Secondary School, Fairfield Methodist School (Secondary), Nanyang Junior College, and Temasek Junior College.

Ms ERF has 10 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms ERF’s private tuition students attended Anglo-Chinese School (Primary), Red Swastika School, St Margaret’s Primary School, Beatty Secondary School, Jurong West Secondary School, and Tanjong Katong Girls’ School.

Mr NHJ has 8 years of Math tuition experience. He is NIE-trained, and taught at MOE schools for 6 years. He has a Bachelor’s in Quantitative Finance from NUS (2^{nd} Upper Class Honours). Mr PFC’s private tuition students attended Corporation Primary School, CHIJ Our Lady of Good Counsel Primary, Hong Wen School, Methodist Girls’ School (Primary), Singapore Chinese Girls’ Primary School, and St Gabriel’s Primary School.

Mr GC has 4 years of Math tuition experience. He has a Bachelor’s in Mathematical Sciences from NTU. Mr GC’s private tuition students attended Lianhua Primary School, Innova Primary School, River Valley Primary School, Yuan Ching Secondary School, CHIJ St Theresa’s Convent, and St Hilda’s Secondary School.

Ms LHM has 10 years of Math tuition experience. She has a Bachelor’s in Mathematical Sciences and Economics (Double Major) from NTU (2^{nd} Upper Class Honours). Ms LHM’s private tuition students attended Singapore Chinese Girls’ Secondary School Integrated Programme, Raffles Girls’ School (Secondary) Integrated Programme, St Patrick’s School, Bowen Secondary School, Eunoia Junior College, and River Valley High School.

Ms TYK has 9 years of Math tuition experience. She has a Bachelor’s in Mathematics from NUS (First Class Honours). Ms TYK wrote the Math curriculum for primary and secondary school levels at a leading group of tuition centres. Ms TYK’s private tuition students attended White Sands Primary School, St Andrew’s Junior School, St Stephen’s School, Chua Chu Kang Secondary School, Methodist Girls’ School (Secondary), and St Andrew’s Secondary School.

Ms CWY has 9 years of Math tuition experience. She has a PhD in Statistics from Stanford University. Her Bachelor’s in Applied Mathematics was from NUS (First Class Honours). Ms CWY’s private tuition students attended Anglo-Chinese School (Independent), CHIJ St Nicholas Girls’ School Integrated Programme, NUS High School of Mathematics and Science, Victoria Junior College, Hwa Chong Institution, and National Junior College.

Mr YTJ has 5 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS. Mr YTJ taught at a tuition centre for 3 years. His private tuition students attended Northoaks Primary School, Pei Tong Primary School, Bendemeer Secondary School, Crescent Girls’ School, National Junior College, and Yishun Innova Junior College.

Mr BSS has 8 years of Math tuition experience. He has a Master’s in Applied Mathematics from Cornell University. His Bachelor’s in Computer Science & Mathematics was from NUS (First Class Honours). Mr BSS was a contract teacher at one of Singapore’s top junior colleges for 2 years. His private tuition students attended Nanyang Junior College, Victoria Junior College, Raffles Institution, Eunoia Junior College, Anderson Serangoon Junior College, and Anglo-Chinese Junior College.

Mr AE has 5 years of Math tuition experience. He has a Master’s in Data Science and Machine Learning from NUS. His Bachelor’s in Mathematics was from NUS (2^{nd} Upper Class Honours). Mr AE’s private tuition students attended Palm View Primary School, Rosyth School, Temasek Primary School, Deyi Secondary School, Fuchun Secondary School, and Dunman High School Integrated Programme.

Mr NSR has 11 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (2^{nd} Upper Class Honours). He was an MOE contract teacher for 2 years, and taught at a leading tuition centre for 5 years. Mr NSR’s private tuition students attended Hougang Secondary School, East Spring Secondary School, Nanyang Girls’ High School Integrated Programme, Jurong Pioneer Junior College, Temasek Junior College, and Dunman High School.

Ms DT has 11 years of Math tuition experience. She is NIE-trained, and taught at MOE schools for 8 years. Ms DT has a Bachelor’s in Quantitative Finance from NUS (Honours). Ms DT’s private tuition students attended Methodist Girls’ School (Primary), Tampines North Primary School, Telok Kurau Primary School, Dunearn Secondary School, Greenridge Secondary School, and Naval Base Secondary School.

Mr JCM has 10 years of Math tuition experience. He has a Bachelor’s in Computer Science & Applied Mathematics from NUS (Honours). His private tuition students attended Oasis Primary School, Jing Shan Primary School, Cedar Girls’ Secondary School, Bowen Secondary School, Catholic Junior College, and Nanyang Junior College.

Mr TBE has 5 years of Math tuition experience. He has a Bachelor’s in Mathematical Sciences from NTU. Mr TBE taught at a tuition centre for 3 years. His private tuition students attended Waterway Primary School, CHIJ Primary (Toa Payoh) Primary, Queenstown Secondary School, Presbyterian High School, Jurong Pioneer Junior College, and Victoria Junior College.

Mr BNK has 6 years of Math tuition experience. He is NIE-trained, and taught at MOE schools for 5 years. Mr BNK has a Bachelor’s in Applied Mathematics from NUS (Honours). Mr BNK’s private tuition students attended St Joseph’s Institution, Holy Innocents’ High School, Geylang Methodist School (Secondary), Yusof Ishak Secondary School, Woodlands Ring Secondary School, and Kuo Chuan Presbyterian Secondary School.

Mr KTH has 16 years of Math tuition experience. He has a Bachelor’s in Applied Mathematics from NUS (First Class Honours). Mr KTH was the Head of Mathematics at the group of tuition centres where he taught for 9 years. Mr KTH’s private tuition students attended Nanyang Primary School, Methodist Girls’ School (Primary), St Andrew’s Secondary School, Singapore Chinese Girls’ Secondary School, Temasek Junior College, and Raffles Institution.

Ms SP has 10 years of Math tuition experience. She was the Head of Mathematics at a group of tuition centres where she taught for 7 years. Ms SP has a Master’s in Applied Mathematics at Oxford University. Her Bachelor’s in Mathematical Sciences was from NTU (First Class Honours). Ms SP’s private tuition students attended Beacon Primary School, Maha Bodhi School, Tanglin Secondary School, Dunman High School Integrated Programme, Anderson Serangoon Junior College, and Eunoia Junior College.

Mr ELJ has 5 years of Math tuition experience. He has a Master’s in Applied Mathematics from Princeton University. Mr ELJ’s Bachelor’s in Mathematical Sciences was from NTU (First Class Honours). Mr ELJ’s private tuition students attended St Anthony’s Canossian Secondary School, Nan Chiau High School, Dunman High School, Anderson Serangoon Junior College, Hwa Chong Institution, and River Valley High School.

Ms OTC has 12 years of Math tuition experience. She is NIE-trained and taught at MOE schools for 7 years. Ms OTC has a Bachelor’s in Mathematical Sciences from NTU (Honours). Her private tuition students attended Gan Eng Seng Primary School, Xinghua Primary School, Anglo-Chinese School (Primary), Kong Hwa School, Ngee Ann Primary School, and St Joseph’s Institution Junior.

Ms AG has 10 years of Math tuition experience. She is NIE-trained, and taught at MOE schools for 9 years. Ms AG has a Bachelor’s in Quantitative Finance from NUS (2^{nd} Upper Class Honours). Ms AG’s private tuition students attended CHIJ St Joseph’s Convent, Anglo-Chinese School (Barker Road), Jurong West Secondary School, Changkat Changi Secondary School, Boon Lay Secondary School, and Hwa Chong Institution Integrated Programme.

Ms YHM has 11 years of Math tuition experience. She has a Bachelor’s in Physics and Mathematical Sciences (Double Major) from NTU. Ms YHM taught at a leading tuition centre for 5 years. Her private tuition students attended Raffles Girls’ School (Secondary) Integrated Programme, NUS High School of Mathematics and Science, CHIJ St Nicholas Girls’ School Integrated Programme, Hwa Chong Institution, St Andrew’s Junior College, and Eunoia Junior College.

Ms SN has 14 years of Math tuition experience. She has a Master’s in Statistics from the University of Michigan. Ms SN’s Bachelor’s in Mathematics was from NUS (First Class Honours). Ms SN taught at a leading tuition centre for 6 years. Her private tuition students attended Singapore Chinese Girls’ Primary School, Red Swastika School, River Valley High School Integrated Programme, Catholic High School Integrated Programme, St Andrew’s Junior College, and Raffles Institution.

Mr CJP has 7 years of Math tuition experience. He has a Bachelor’s in Mathematics from NUS (2^{nd} Upper Class Honours). Mr CJP’s private tuition students attended Si Ling Primary School, Raffles Girls’ Primary School, Northland Secondary School, Catholic High School Integrated Programme, Anglo-Chinese Junior College, and Raffles Institution.

Ms LE has 9 years of Math tuition experience. She has a Bachelor’s in Mathematical and Computer Sciences (Double Major) from NTU. Ms LE was an MOE contract teacher for 2 years. Her private tuition students attended Paya Lebar Methodist Girls’ School (Primary), St Andrew’s Junior School, Hillgrove Secondary School, Meridian Secondary School, Anglo-Chinese Junior College, River Valley High School.

## The MOE states that students must be familiar with:

- Numbers and their operations
- Primes and prime factorisation
- Highest common factor (HCF) and lowest common multiple (LCM),
- squares, cubes, square roots and cube roots by prime factorisation
- Negative numbers, integers, rational numbers, real numbers, and their four
- operations
- Approximation and estimation
- Positive, negative, zero and fractional indices

# How to study math, using the latest Singapore MOE syllabus:

- Ratio and proportion
- Ratios involving rational numbers
- Writing a ratio in its simplest form
- Map scales (distance and area)
- Direct and inverse proportion
- Expressing one quantity as a percentage of another
- Comparing two quantities by percentage
- Percentages greater than 100%

- Recognising and representing patterns/relationships by finding an algebraic
- expression for the nth term
- Addition and subtraction of linear expressions
- Simplification of linear expressions
- Extract common factors
- Factorisation of linear expressions
- Expansion of the product of algebraic expressions
- Changing the subject of a formula

- Linear functions and quadratic functions
- Graphs of linear functions
- The gradient of a linear graph as the ratio of the vertical change to the
- horizontal change (positive and negative gradients)
- Graphs of quadratic functions and their properties:
- Positive or negative coefficient of x2

- Problems involving the calculation of the sum and product (where
- appropriate) of two matrices
- Interpreting and analysing data from tables and graphs, including distance–
- time and speed–time graphs
- Interpreting the solution in the context of the problem
- Properties of triangles, special quadrilaterals and regular polygons
- (pentagon, hexagon, octagon and decagon), including symmetry properties
- Classifying special quadrilaterals on the basis of their properties

- Area of parallelogram and trapezium
- Perimeter and area of composite plane figures
- Volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone
- and sphere
- Volume and surface area of composite solids
- Arc length, sector area and area of a segment of a circle
- Radian measure of angle (including conversion between radians and
- degrees)

- Extension of the number system from real numbers to complex numbers
- Complex roots of quadratic equations
- Conjugate of a complex number
- Conjugate roots of a polynomial equation with real coefficients
- Representation of complex numbers in the Argand diagram
- Calculation of modulus (r) and argument (θ) of a complex number
- Multiplication and division of two complex numbers expressed in polar form
- Differentiation of simple functions defined implicitly or parametrically

- Derivation of the first few terms of the Maclaurin series
- Repeated differentiation
- Repeated implicit differentiation
- Definite integral as a limit of sum
- Definite integral as the area under a curve
- Area of a region bounded by a curve and lines parallel to the coordinate axes, between a curve and a line, or between two curves
- Area under a curve defined parametrically

- Discrete random variables, probability distributions, expectations and variances
- Binomial distribution B(n, p) as an example of a discrete probability distribution and use of B(n, p) as a probability model, including
- conditions under which the binomial distribution is a suitable model
- Mean and variance of binomial distribution (without proof)
- Normal distribution as an example of a continuous probability model and its mean and variance

- Increasing/decreasing a quantity by a given percentage
- Reverse percentages
- Average rate and average speed
- Conversion of units (e.g. km/h to m/s)
- Using letters to represent numbers
- Interpreting notations
- Evaluation of algebraic expressions and formulae
- Translation of simple real-world situations into algebraic expressions

- Finding the value of an unknown quantity in a given formula
- Factorisation of quadratic expressions
- Multiplication and division of simple algebraic fractions
- Addition and subtraction of algebraic fractions with linear or quadratic
- denominator
- Cartesian coordinates in two dimensions
- Graph of a set of ordered pairs as a representation of a relationship between two variables

- Maximum and minimum points
- Symmetry
- Sketching the graphs of quadratic functions
- Positive integers
- Estimation of the gradient of a curve by drawing a tangent
- Solving linear equations in one variable
- Solving simple fractional equations that can be reduced to linear equations
- Substitution and elimination methods

- Pythagoras’ theorem
- Determining whether a triangle is right-angled given the lengths of three
- sides
- Use of trigonometric ratios (sine, cosine and tangent) of acute angles to
- calculate unknown sides and angles in right-angled triangles
- Extending sine and cosine to obtuse angles
- Problems in two and three dimensions including those involving angles of
- elevation and depression and bearings

- Position vectors, displacement vectors and direction vectors
- Magnitude of a vector
- Collinearity
- Ratio theorem in geometrical applications
- Scalar and vector products in vectors
- Calculation of the magnitude of a vector and the angle between two vectors
- Vector and cartesian equations of lines and planes
- Foot of the perpendicular and distance from a point to a line or to a plane

- Determining the nature of the stationary points (local maximum and minimum points and points of inflexion) analytically, in simple cases, using
- the first derivative test or the second derivative test
- Locating maximum and minimum points using a graphing calculator
- Equations of tangents and normals to curves, including cases where the curve is defined implicitly or parametrically
- Local maxima and minima problems
- Connected rates of change problems

- Addition and multiplication principles for counting
- Concepts of permutation and combination
- Addition and multiplication of probabilities
- Use of tables of outcomes, Venn diagrams, tree diagrams, and permutations and combinations techniques to calculate probabilities
- Calculation of conditional probabilities in simple cases

- Probability model
- Standard normal distribution
- Symmetry of the normal curve and its properties
- Population, random and non-random samples
- Sample mean X as a random variable
- Distribution of sample means from a normal population
- Central Limit Theorem to treat sample means as having normal distribution when the sample size is sufficiently large