JC H2 Mathematics Syllabus & Study Guide (9758)
The single most important factor for university course choice
Specialist JC H2 Math (9758) tuition for JC1 and JC2 students. We coach the Pure Math and Statistics syllabus, exam-paper question type recognition, and the working-shown discipline that decides A vs B grades at A-Level.
Last updated: · Level: JC1 and JC2 · Subject: H2 Mathematics
TL;DR, Key Facts
- •Specialist H2 Mathematics tuition for JC1 and JC2.
- •9758 syllabus full coverage.
- •Pure Math (calculus, vectors, complex numbers, sequences).
- •Statistics (probability, distributions, hypothesis testing).
- •Past A-Level papers and prelim paper drilling.
- •Lessons 1-to-1 in your home or online, no agency fee, free re-match if the fit is wrong.
H2 Mathematics home tuition rates
Real ranges by level and tutor tier. No agency fee; we re-match free if the fit is wrong.
| Level | Undergrad | Full-time | Ex-MOE / NIE |
|---|---|---|---|
| Lower Primary (P1-P4) | S$30-40/hr | S$40-55/hr | S$50-65/hr |
| Upper Primary / PSLE (P5-P6) | S$35-50/hr | S$45-60/hr | S$55-75/hr |
| Lower Secondary (Sec 1-2) | S$35-50/hr | S$50-65/hr | S$60-80/hr |
| Upper Secondary / O-Level (Sec 3-4) | S$45-60/hr | S$55-75/hr | S$70-95/hr |
| Junior College / A-Level (JC1-JC2)This page | S$55-75/hr | S$70-95/hr | S$85-130/hr |
| IB Diploma (DP1-DP2) / IGCSE | S$60-80/hr | S$75-110/hr | S$95-150/hr |
Rates are 2026 Singapore market norms. Final rate is set on tutor match and depends on tutor tier, travel, and lesson frequency. See full pricing page.
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JC H2 Mathematics (9758, the syllabus introduced in 2017 and updated subsequently) is the most-taken JC subject and the gateway for nearly every quantitative university course at NUS, NTU and SMU. Engineering, Computer Science, Business Analytics, Data Science, Economics and most Science majors require H2 Math. The format is two papers, each 100 marks. Paper 1 is Pure Math (about 70 percent calculus, vectors, complex numbers, sequences and series).
Paper 2 is split between Pure Math (40 marks) and Statistics (60 marks: probability, discrete and continuous distributions, sampling, hypothesis testing, correlation and regression). The dominant grade-determining sections are the multi-part Paper 1 application questions (which combine multiple Pure Math topics in one question) and the Statistics interpretation questions in Paper 2 (which reward precise vocabulary in the conclusion).
Our H2 Math tutors run a structured JC1 to JC2 programme. The JC1 syllabus covers Pure Math foundation (functions, calculus introduction, vectors, complex numbers, sequences) plus the statistics introduction (probability, discrete distributions, normal distribution). The JC2 syllabus then layers more advanced calculus (techniques of integration, applications), vector geometry, statistical inference (sampling, hypothesis testing, correlation, regression). Tutors are NUS, NTU graduates with strong Math majors (often ex-Hwa Chong, ex-RI or ex-NJC themselves), or experienced ex-MOE JC tutors. The grade lift we typically see is from S or U grade in JC1 mid-year to B or A by A-Level prelims, and from B grade in JC1 to A by A-Level for students who start early.
A specific structural feature of the 9758 syllabus that catches many JC1 students by surprise: vectors and complex numbers are introduced in JC1 but the genuinely hard application questions only appear in JC2 prelims and A-Levels. Students who are coasting through JC1 vectors with bookwork-style questions hit a wall at JC2 prelim when the question shifts to intersecting planes, perpendicular distance from a point to a line, or the locus of complex numbers under multiple constraints.
We pre-emptively coach the harder application style from the second half of JC1 onwards, so the JC2 ramp-up does not feel like a fresh subject. The same logic applies to integration. JC1 integration is mostly substitution and partial fractions; JC2 integration adds integration by parts, more elaborate substitutions and the Maclaurin-series-based approximations. Drilling the JC2 integration techniques in the JC1 to JC2 holiday is the cleanest way to enter JC2 ahead rather than behind.
Common JC H2 Math Struggles We Fix
H2 Math marks at the A and B bands are decided on multi-part question handling and statistical interpretation. The patterns we see most often:
Calculus integration techniques (substitution, by parts, partial fractions) are confused under exam pressure.
Vector geometry questions involving lines, planes and intersections lose 6 to 10 marks per Paper 1.
Complex numbers questions involving De Moivre theorem and roots of unity are skipped.
Statistical inference vocabulary (null hypothesis, alternative hypothesis, p-value, significance level) is imprecise in conclusions.
Sampling distribution and Central Limit Theorem application questions are confused.
Working-shown discipline collapses on multi-part Paper 1 questions, losing method marks.
These are the gaps our H2 Math tutors fix with structured topical sequencing and weekly past-paper drilling.
JC H2 Math Programme Structure
A 9758-aligned topical programme spanning JC1 and JC2:
1. Pure Math Foundation (JC1)
Functions, calculus introduction, sequences.
- Functions (one-one, inverse, composite)
- Equations and inequalities
- Differentiation (techniques and applications)
- Integration introduction
- Sequences and series
- Maclaurin series
2. Vectors and Complex Numbers
Geometric and algebraic Pure Math topics.
- Vector operations and applications
- Vector equations of lines and planes
- Intersection problems (line-line, line-plane, plane-plane)
- Complex numbers (Cartesian and polar form)
- De Moivre theorem and roots of unity
- Loci on the Argand diagram
3. Calculus Application (JC2)
The high-mark Paper 1 area.
- Techniques of integration (substitution, by parts, partial fractions)
- Definite integrals and applications
- Areas, volumes of revolution
- Differential equations (separable, first-order linear)
- Maclaurin series application
- Numerical methods for integration
4. Statistics (Paper 2)
60 marks of Paper 2.
- Probability (conditional, independent events)
- Discrete random variables and distributions (binomial, Poisson)
- Continuous random variables and normal distribution
- Sampling and Central Limit Theorem
- Hypothesis testing (one-sample, two-sample)
- Correlation and linear regression
Why Choose Us for H2 Mathematics?
9758-Specialist Tutors
Our H2 Math tutors teach the 9758 syllabus directly. They know the SEAB marking-scheme expectations and the recent A-Level paper trends.
JC1 to JC2 Continuity
H2 Math is the subject where JC1 to JC2 tutor continuity matters most. JC2 calculus and vector geometry assume the JC1 foundations.
Past A-Level and Prelim Drilling
From JC2 mid-year onwards we drill weekly past-paper questions plus prelim papers from Hwa Chong, RI, NJC, ASRJC and other top JCs.
Meet One of Our H2 Mathematics Specialists
Alex Lim - ex-MOE NIE trained secondary and JC Math teacher
Credentials: Bachelor of Science (Applied Maths, Hons)
Specialises In: Math
Track Record: Secondary and JC Maths, IB
A Note from Alex: "I am an ex-MOE and NIE-trained math teacher with over a decade of experience teaching in both the private and the public sector. I started teaching JC H2 Maths more than a decade ago in Meridian Junior College and taught JC Maths and secondary math across various tuition centres over the past 10 years. Now, I am currently teaching at MOE again teaching the IB syllabus for year 5 students. Known to have concise and clear explanations, I usually build a good rapport with students by being genuine and patient. Socratic questioning and Polya model of problem solving are my go-to tools for tackling complex questions. Common mistakes and alternative methods are usually tackled for deeper understanding and learning. I am looking for part-time online assignments which I can do during weekday evenings and weekends (preferred). I charge around $100/hr for classes. Let me know if you have assignments for me. "
What Our Parents Say
"I was getting U grade in H2 Math at end of JC1 and was seriously considering dropping to H1. The tutor restarted vectors and integration from scratch. Final A-Level H2 Math was B, which got me into NUS Engineering."
- Joshua
JC2 student from Bishan
"My daughter struggled with statistical inference for the entire JC2 first half. The tutor walked through 30 past hypothesis-testing questions and her conclusions became sharp and precise. Final A-Level was A."
- Mrs. Chen
Parent from Bukit Timah
H2 Mathematics: Frequently Asked Questions
What does H2 Math (9758) cover?
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Paper 1 is Pure Mathematics, functions, calculus, vectors, complex numbers, sequences and series, differential equations. Paper 2 adds Statistics: probability, distributions, sampling, hypothesis testing, correlation and regression.
Why is the JC1-to-JC2 jump so steep?
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JC2 layers integration techniques, differential equations, vector planes and the full statistics-inference framework on top of JC1 foundations, a large step in a short time.
What decides an A in H2 Math?
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The integrated multi-part Paper 1 question and precise, context-referenced statistics conclusions, both rewarding full timed past-paper practice.
Looking to book H2 Mathematics tuition?
This page is a syllabus & study-coaching guide. To request a tutor for this subject, visit our companion service page:
Browse H2 Mathematics tuition →Sources & official syllabus
Coaching on this page follows the syllabus published by the relevant Singapore exam authority. Original sources:
H2 Math is the Single Biggest Factor for University Course Choice
A strong H2 Math grade opens NUS, NTU and SMU Engineering, Computer Science, Business Analytics, Data Science and Economics. Lifting H2 Math from B to A changes the university and major options significantly.
JC2 H2 Math specialist tutors fill schedules in the November to January window before JC2 starts. Booking by JC1 end-of-year is the practical lead time.