JC H2 Mathematics Syllabus & Study Guide (9758)
For JC1 and JC2 students taking the 9758 A-Level papers
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The grade, explained
How H2 grades turn into rank points
Three H2 subjects plus General Paper make the University Admission Score, out of 70 from 2026.
- A20 points
- B17.5 points
- C15 points
- D12.5 points
- E10 points
- S5 points
- U0 points
Source: MOE university admission rank points.
JC H2 Math in brief
JC H2 Mathematics (9758, the syllabus introduced in 2017 and updated subsequently) is a widely taken JC subject and is commonly expected for quantitative university courses at NUS, NTU and SMU. Engineering, Computer Science, Business Analytics, Data Science, Economics and many Science majors often require or expect 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).
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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). Each tutor's own qualifications and teaching experience are shown on the shortlist.
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 a complex-number problem on the Argand diagram.
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 means these techniques are already familiar when JC2 starts.
JC H2 Math tuition rates
Real ranges by level and tutor tier. We re-match free if the fit is wrong.
| Level | Part-time / undergrad | Full-time | Ex-MOE or NIE-trained |
|---|---|---|---|
| Junior College / A-Level (JC1-JC2) | S$55-75/hr | S$70-95/hr | S$85-130/hr |
Final rate is set on tutor match and depends on tutor tier, level and lesson frequency. See full pricing page.
Full rate guide · JC H2 Math tuition: rates and tutors
Official syllabus: SEAB, GCE A-Level overview
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 marks on Paper 1.
Complex numbers questions on conjugate roots and the Argand diagram are skipped.
Statistical inference vocabulary (null hypothesis, alternative hypothesis, p-value, significance level) is imprecise in conclusions.
2 more
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:
Pure Math Foundation (JC1)
Functions, calculus introduction, sequences.
Topics covered
- Functions (one-one, inverse, composite)
- Equations and inequalities
- Differentiation (techniques and applications)
- Integration introduction
- Sequences and series
- Maclaurin series
Vectors and Complex Numbers
Geometric and algebraic Pure Math topics.
Topics covered
- Vector operations and applications
- Vector equations of lines and planes
- Intersection problems (line-line, line-plane, plane-plane)
- Complex numbers in Cartesian form (polar and exponential forms are excluded)
- Conjugate roots of polynomial equations
- Geometrical effects on the Argand diagram
Calculus Application (JC2)
The high-mark Paper 1 area.
Topics covered
- Techniques of integration (substitution, by parts, partial fractions)
- Definite integrals and applications
- Areas, volumes of revolution
- Differential equations of the form dy/dx = f(x)g(y)
- Maclaurin series application
- Formulating differential equations from a problem situation
Statistics (Paper 2)
60 marks of Paper 2.
Topics covered
- Probability (conditional, independent events)
- Discrete random variables and the binomial distribution
- Continuous random variables and normal distribution
- Sampling and Central Limit Theorem
- Hypothesis testing for a population mean
- Correlation and linear regression
Why parents pick us
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 JC prelim papers.
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JC H2 Math: frequently asked questions
What does H2 Math (9758) cover?
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?
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?
The integrated multi-part Paper 1 question and precise, context-referenced statistics conclusions, both rewarding full timed past-paper practice.
H2 Math Matters for Many University Courses
H2 Math is commonly expected for NUS, NTU and SMU Engineering, Computer Science, Business Analytics, Data Science and Economics.