Available 24/7
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.
Book a trial lesson
Sit in on a real class, see how your child is taught, and get an honest read on where the gaps are before you commit to anything.
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.
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 — not as a warm-up for Sec 3, and not as 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.
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.
Coming to us from primary school? See PSLE Math tuition.
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.
Two papers, each 2 hours 15 minutes and worth 90 marks, split evenly at 50% each. Paper 1 is around 26 short-answer questions; Paper 2 is nine or ten longer ones, and its final question is set specifically on applying mathematics to a real-world scenario. An 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 — the syllabus assumes knowledge of the main mathematics course — and it typically begins in Sec 3.
Same shape as E-Math: two papers, 2 hours 15 minutes each, 90 marks each, calculator permitted in both. Paper 1 runs 12 to 14 questions worth up to 10 marks; Paper 2 runs 9 to 11 questions worth up to 12.
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.
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 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.
Questions parents ask
Do you teach lower secondary maths, or only O-Level?
Both, as separate classes. Sec 1 and Sec 2 follow the MOE lower-secondary mathematics syllabus and are taught in their own class. From Sec 3, teaching turns to the national examination syllabus. We do not put a Sec 1 student into an exam-preparation class.
When should my child start secondary maths tuition?
Earlier is cheaper, in every sense. Secondary maths is cumulative — a Sec 1 gap in algebra becomes a Sec 3 problem in quadratic functions. Starting in Sec 1 or Sec 2 means building a foundation; starting in Sec 4 means rebuilding one while also preparing for an exam. Both are worth doing. They are not the same job.
What is the difference between E-Math and A-Math?
E-Math is Mathematics (Syllabus 4052, becoming K310 from 2027) and every secondary student takes it. A-Math is Additional Mathematics (4049, becoming K341), taken alongside E-Math from Sec 3 by students heading towards the sciences or JC. A-Math assumes everything in E-Math and adds calculus, deeper algebra, and more demanding trigonometry.
Should my child take A-Math?
It depends on where they are heading. A-Math is the preparation for H2 Mathematics at A-Level and is effectively expected for many science and engineering pathways. But it is a full additional subject, and taking it while struggling with the main mathematics syllabus rarely ends well. Ask us and we will give you a straight answer about your child rather than a general one.
Will my child sit the O-Level or the SEC?
If your child is in Sec 4 in 2026, they sit the O-Level. If they are in Sec 3 or below, they will sit the Singapore-Cambridge Secondary Education Certificate, which replaces the O-Level from 2027 and is taken at G1, G2 or G3 subject levels. The mathematics assessment structure is essentially unchanged; the certificate and the subject codes are not.
How big are your secondary maths classes?
Five students, maximum. Every class, every level.
Can my child join partway through the school year?
Yes. We find out where your child actually is, identify the specific gaps, and align lessons to their school’s current position in the syllabus.
Do parents get progress updates?
Yes, two ways. A private dashboard with homework tracking and lesson-by-lesson notes, and direct contact with the tutor when something needs discussing.
Where we are
Arche Academy
208 Hougang Street 21, #04-215, Singapore 530208
+65 9678 7010
We are in Hougang, within easy reach of Kovan, 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.
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 — including, if it is the case, that your child does not need tuition right now.