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Sec 1 to Sec 4 · Small groups of 5
Secondary Math Tuition Singapore
Arche Academy teaches secondary maths in two distinct stages. Sec 1 and Sec 2 follow the MOE lower-secondary mathematics syllabus and are taught as their own class, not as early exam drilling. From Sec 3, teaching turns to the national examination: the O-Level for this year’s Sec 4 cohort, and the new Singapore-Cambridge Secondary Education Certificate for every year group below them. Every class is capped at five students, in Hougang.
Two stages
Secondary maths is really two subjects
Most centres sell one thing: exam preparation. That works for a Sec 4 student with nine months left. It is the wrong answer for a Sec 1 student who has just met algebra, because there is no exam to prepare for yet. There is a foundation to build, and four years for a crack in it to widen.
Sec 1 and Sec 2: lower secondary
Taught to the MOE lower-secondary mathematics syllabus, as its own class. The work here is comprehension, not exam technique: making sure your child actually understands what they are doing before speed and pressure are added on top. Mathematics at this level is organised into three strands (number and algebra, geometry and measurement, and statistics and probability), and all three carry forward unchanged into the national syllabus.
Sec 3 and Sec 4: upper secondary
This is where the syllabus turns to the national examination and splits in two: Mathematics, which everyone takes, and Additional Mathematics, taken alongside it by students heading for the sciences or JC. The pace changes here more than at any other point in secondary school.
Lower secondary
Sec 1 and Sec 2 maths tuition
The jump from PSLE to secondary maths is the one most parents underestimate, and it is not really about difficulty. It is about the kind of thinking that suddenly counts.
At PSLE, a hard problem can be drawn. Models, units and parts, before-and-after: a child who is fluent with those methods can reason their way through almost anything on the paper. Then algebra arrives, and the drawing stops working. The child who was strong at PSLE is not suddenly weak; they are being asked to hold an idea in symbols rather than in a picture, and nobody has told them that the rules changed.
That is what the Sec 1 and Sec 2 class is for. We teach the MOE lower-secondary syllabus properly and at its own pace. It is not a warm-up for Sec 3, and it is not exam drilling four years early. The measure of a good lower-secondary year is not a test score. It is whether your child can explain why a method works.
It matters more than it looks. Secondary maths is cumulative in a way primary maths is not: a Sec 1 gap in algebraic manipulation does not stay a Sec 1 problem, it becomes a Sec 3 problem in quadratic functions and a Sec 4 problem in calculus. The cheapest time to fix it is now, when there is no exam pressure and no lost ground to make up.
Not sure what the year actually contains? We have set out every topic in the Sec 1 maths syllabus, strand by strand, straight from the MOE document, with what changes from PSLE and what Sec 2 adds on top. Coming to us from primary school? See PSLE Math tuition.
Sec 1 head-start offer, until 31 December 2026. Starting Sec 1 in 2027? Join our Sec 1 maths class by 31 December 2026 and get 10% off the monthly tuition fee for your first two months, so your child starts January already at ease with algebra. Book a trial lesson or WhatsApp us on +65 9678 7010.
A note on what your child will actually sit. If your child is in Sec 3 or below in 2026, they will not take the O-Level. From 2027 it is replaced by the Singapore-Cambridge Secondary Education Certificate, sat at G1, G2 or G3 subject levels under Full Subject-Based Banding. The mathematics assessment itself barely changes, but the certificate, the subject codes and the banding do. Read our full explainer on the 2027 SEC and Full Subject-Based Banding.
Upper secondary
Sec 3 and Sec 4 maths tuition
Sec 3 is where maths stops being one subject. Students continue with Mathematics, and a subset take Additional Mathematics alongside it. Teaching turns to the national examination from here.
E-Math
Officially it is Mathematics, Syllabus 4052. Everyone calls it E-Math, and from 2027 it becomes K310 under the SEC. Every secondary student takes it.
- PapersTwo papers, each 2 hours 15 minutes and worth 90 marks, split evenly at 50% each
- Paper 1Around 26 short-answer questions
- Paper 2Nine or ten longer ones; the final question is set specifically on applying mathematics to a real-world scenario
- CalculatorAn approved calculator is allowed in both papers. There is no non-calculator paper, which surprises a lot of parents who sat a different system
The content spans three strands: number and algebra, geometry and measurement, and statistics and probability.
A-Math
Additional Mathematics, Syllabus 4049, becoming K341 from 2027. It is taken alongside E-Math, never instead of it, because the syllabus assumes knowledge of the main mathematics course. It typically begins in Sec 3.
- PapersSame shape as E-Math: two papers, 2 hours 15 minutes each, 90 marks each
- Paper 112 to 14 questions worth up to 10 marks
- Paper 29 to 11 questions worth up to 12 marks
- CalculatorPermitted in both papers
Three content areas: algebra, geometry and trigonometry, and calculus. That last one is the step change. Differentiation and integration are genuinely new mathematics, not harder versions of something already familiar, and A-Math is also the subject that prepares a student for H2 Mathematics at A-Level. It is the most common place we see a strong student stumble for the first time.
Results this year: Karthiga (Sec 4, 2026) went from C6 to A2 in A-Math at her prelims. Ethan (Sec 3, 2026) went from failing A-Math to scoring A1 consistently, across his weighted assessments and his end-of-year exam.
Year by year
The secondary maths roadmap, Sec 1 to Sec 4
Maths is one subject until Sec 2, then becomes two for many students when Additional Mathematics starts in Sec 3. Here is what happens each year.
| Year | What is taught | What is decided or examined |
|---|---|---|
| Sec 1 | Mathematics: number, algebra, geometry and statistics at G1, G2 or G3 | Subject level reviewed at set points under Full Subject-Based Banding |
| Sec 2 | Mathematics continues, with algebra and graphs getting harder | Term 4 subject options: whether to take Additional Mathematics from Sec 3 |
| Sec 3 | Mathematics (E-Math), K310 at G3 or K210 at G2, plus Additional Mathematics, K341 at G3 or K232 at G2 | A-Math algebra and trigonometry arrive fast; calculus follows |
| Sec 4 | Consolidation and timed practice on both papers | National exam: the SEC from 2027 (the O-Level for the 2026 Sec 4 cohort); two papers of 2 hours 15 minutes each at G3 |
See our guide to what Sec 1 maths covers for the topic-by-topic list.
Why Arche
Why parents choose Arche for secondary maths
Five students. Not six, not twelve.
Every class is capped at five. That is not a marketing number. It is the point at which a tutor can still see each student’s working during the lesson and correct the method rather than mark the answer. A wrong answer tells you almost nothing. The working tells you everything.
Aligned to your child’s school, not to a generic scheme.
Schools move through the syllabus in different orders and at different speeds. Lessons are planned around what your child’s school is actually teaching that term, so tuition supports the class rather than running as a second, competing curriculum.
You can see what happened in the lesson.
Every family gets a private parent dashboard with homework tracking and lesson-by-lesson notes. You should not have to ask a fourteen-year-old how tuition is going and take “fine” for an answer.
Taught by someone who has done this for years.
Arche is small on purpose. The teaching is the product, and the years of experience on our homepage are our founder’s own teaching years, not the age of the company.
Who it’s for
Who this class is for
The Sec 1 who was fine at PSLE and is suddenly lost
Nothing has gone wrong. The rules changed, from pictures to symbols, and nobody said so out loud.
The Sec 2 who is coasting
Marks are acceptable, effort is minimal, and subject decisions at the end of Sec 2 are about to close doors quietly.
The Sec 3 who just met A-Math
Strong for four years, then calculus arrives and the ground moves. Extremely common, and fixable if it is caught in Sec 3 rather than Sec 4.
The Sec 4 with a target grade and one year
The hardest brief we take, and we will tell you honestly what a year can and cannot do.
FAQ
Questions parents ask
Do you teach lower secondary maths, or only O-Level?+
When should my child start secondary maths tuition?+
What is the difference between E-Math and A-Math?+
Should my child take A-Math?+
Will my child sit the O-Level or the SEC?+
How big are your secondary maths classes?+
Can my child join partway through the school year?+
Do parents get progress updates?+
Find us
Where we are
We are in Hougang, three minutes’ walk from Kovan MRT and directly above the McDonald’s at Kovan, within easy reach of Serangoon, Sengkang and Punggol. Students come to us from North Vista, Holy Innocents’ High, Hougang Secondary, Xinmin, Yuying, Peicai, St Gabriel’s and St Andrew’s.
Arche Academy
208 Hougang Street 21, #04-215, Singapore 530208
+65 9678 7010
Classes Tuesday to Friday 3pm to 9pm, Saturday 9am to 5pm.
Sit in on a class
Book a trial lesson
Come and sit in on a class before you decide anything. You will see how your child is taught, meet the tutor, and get an honest assessment of where the gaps are. If your child does not need tuition right now, we will tell you that too.