How to Make Sense of the A-Level H2 Mathematics Syllabus in Singapore

A-Level H2 Mathematics syllabus 9758 is the official SEAB document for H2 Mathematics in Singapore. This guide explains the two papers, the topics, the assessment objectives, the graphing calculator rules and the formula list, and how to use the document well.

The syllabus is official, precise and dense.

It is tempting to stop at the first page.

That is a pity. The rules on calculators and working are written there plainly.

Once you know how it is organised, it becomes a useful map.

This guide is useful for families who need to:

understand the two H2 Mathematics papers and their sections;
see every topic in one place;
check what the syllabus assumes from secondary school; or
learn the graphing calculator rules before the examination.

At eduKateSG, we read official syllabus documents closely when planning lessons, including what later syllabuses assume from earlier ones.

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A-Level H2 Mathematics Syllabus at a Glance

Syllabus code: 9758
Level: H2, Singapore-Cambridge GCE A-Level
Who takes it: school candidates taking H2 Mathematics at A-Level
Examination year of this document: 2027
Papers: two written papers of 3 hours each
Total examination time: 6 hours
Marks and weighting: each paper is marked out of 100 and carries 50%
Calculator: an approved graphing calculator (GC) without computer algebra system is expected
Formula list: a list of formulae and results is provided in the examination; the SEAB listing page links it as List of Formulae and Results (MF27)
Download: SEAB: 2027 GCE A-Level Syllabuses Examined for School Candidates

This guide is based on the SEAB syllabus document examined in 2027. SEAB can update syllabuses, so always check the latest version on the SEAB website.

What the Syllabus Is For

H2 Mathematics prepares students for university courses that need a good foundation in mathematics, such as mathematics, sciences and engineering.

Its four aims are:

concepts and skills for tertiary study in mathematics, sciences, engineering and related fields;
thinking, reasoning, communication and modelling through a mathematical approach to problem-solving;
connecting ideas within mathematics and applying them in other disciplines; and
appreciating the nature and beauty of mathematics and its value in life.

The syllabus states what comes before it. Knowledge of O-Level Mathematics is assumed.

It also appends the assumed knowledge from O-Level Additional Mathematics, under algebra, geometry and trigonometry, and calculus.

How the Examination Is Structured

There are two 3-hour papers. Candidates are expected to answer all questions in both.

Paper 1: Pure Mathematics

Duration: 3 hours
Marks: 100
Weighting: 50%
Questions: 10 to 12 questions of different lengths and marks
Content: the Pure Mathematics section of the syllabus
Real-world question: one question on applying mathematics in real-world contexts, carrying at least 12 marks

Paper 2: Pure Mathematics, and Probability and Statistics

Duration: 3 hours
Marks: 100
Weighting: 50%
Section A: Pure Mathematics, 40 marks, 4 to 5 questions
Section B: Probability and Statistics, 60 marks, 6 to 8 questions
Real-world question: one in Section B, carrying at least 12 marks

In practice, Pure Mathematics carries 140 of the 200 marks and Probability and Statistics carries 60.

Statistics appears only in Paper 2, but it is a large share of that paper.

What the Syllabus Covers

The content outline has two sections and six topics.

Section A: Pure Mathematics

functions and graphs: functions, graphs and transformations, and equations and inequalities;
sequences and series;
vectors in two and three dimensions, scalar and vector products, and three-dimensional vector geometry;
an introduction to complex numbers, in cartesian form and on Argand diagrams; and
calculus: differentiation, Maclaurin series, integration techniques, definite integrals and differential equations.

Section B: Probability and Statistics

probability;
discrete random variables, including the binomial distribution;
the normal distribution;
sampling;
hypothesis testing; and
correlation and linear regression.

The topics are listed separately, but the syllabus warns that questions may integrate ideas from more than one topic.

Real-world contexts listed include kinematics, optimisation, population growth, financial maths and clinical research. No knowledge of these contexts is assumed: all information is given in the problem.

What the Examiners Are Looking For

The syllabus gives three assessment objectives with approximate weightings.

AO1, Use mathematical techniques and procedures: approximately 30%
AO2, Formulate and solve problems including those in real-world contexts: approximately 60%
AO3, Reason and communicate mathematically: approximately 10%

AO1 is about recalling facts, formulae and notation, reading tables and graphs, and carrying out straightforward procedures.

AO2 is about choosing a strategy, turning a problem into a mathematical model, combining concepts and interpreting results in context.

AO3 is about explaining choices, making deductions, justifying statements and constructing arguments and proofs.

Most of the marks reward choosing and applying the right mathematics, not only carrying out routine steps.

How to Read the Syllabus Document

Read the parts in order:

Preamble: why H2 Mathematics exists and the university courses it prepares for
Syllabus Aims: the four aims, from tertiary preparation to appreciating mathematics
Assessment Objectives: AO1, AO2 and AO3, with their weightings
Use of a Graphing Calculator: when GC answers are accepted and when working must be shown
List of Formulae and Results: confirmation that a formula list is provided
Integration and Application: how topics combine, and the real-world contexts that may appear
Scheme of Examination Papers: the two papers, sections, marks and number of questions
Content Outline: the six topics and their sub-topics, with notes such as exclusions, and the assumed-knowledge statement
Assumed Knowledge: the Additional Mathematics content H2 builds on
Mathematical Notation: the symbols used in the papers

The Content Outline is the core. Read the calculator section carefully too: it explains how working is marked.

Common Misunderstandings

The graphing calculator can do the work

Unsupported GC answers are generally allowed unless the question says otherwise. But incorrect answers without working receive no marks, and where GC answers are not allowed, steps must be written in mathematical notation, not calculator commands.

Real-world questions need outside knowledge

The syllabus states that no assumptions will be made about knowledge of the contexts. All information is self-contained within the problem.

Statistics is a small part

Section B of Paper 2, Probability and Statistics, carries 60 marks.

Every complex numbers technique is tested

The syllabus excludes complex numbers in polar (modulus-argument) form and exponential form.

Secondary school Mathematics no longer matters

The syllabus assumes O-Level Mathematics and appends the assumed knowledge from O-Level Additional Mathematics.

How Students Can Use the Syllabus

1. Make a topic checklist

List the sub-topics from 1.1 to 6.6. Tick each one only when you can solve a full question on it.

2. Check the assumed knowledge

Work through the appended list, such as surds, completing the square and the chain rule. Fix gaps early.

3. Learn the GC rules

Practise writing steps in notation, and sketch any graph you use to find a solution.

4. Practise with the formula list

Use the list of formulae and results during practice, so you know what is given and what is not.

5. Practise real-world questions

Each paper has one real-world question worth at least 12 marks. Read the context slowly and interpret answers in it.

6. Show working every time

Incorrect answers without working receive no marks. Written evidence of correct GC use may still earn method marks.

How Parents Can Help

download the 2027 syllabus and the formula list from the SEAB page;
ask your child which sub-topics feel weakest, using the checklist;
make sure your child has an approved graphing calculator and uses it regularly;
encourage mixed practice, since questions can combine topics;
speak with the school teacher if secondary foundations seem shaky; and
keep the tone calm: steady weekly work matters more than last-minute effort.

How eduKateSG Uses the H2 Mathematics Syllabus

we wrote this guide to help families read the H2 document with confidence;
the H2 syllabus assumes O-Level Mathematics and appends assumed knowledge from Additional Mathematics;
our secondary Mathematics and Additional Mathematics classes build the algebra foundations that this assumed knowledge describes; and
our core teaching is at primary and secondary level and in JC General Paper, so for H2 Mathematics we will say honestly whether we are the right fit.

Getting Support

Every student starts from a different place.

Speak with us about your child’s level, subject and recent results. If our 3-pax classes are the right fit, we will explain how they work. If they are not, we will say so honestly.

Format: Premium 3-pax small-group tutorials, 1.5 hours weekly

The usual first step is a parent–student consultation.

What Parents Can Bring to the Consultation

Useful materials include:

a copy of the syllabus, or its code;
recent test papers and weighted assessments;
the latest report book;
the school’s assessment schedule; and
examples of questions the student finds difficult.

We are not only looking at the score.

We are looking for patterns.

Frequently Asked Questions

How many papers are there in H2 Mathematics?

There are two 3-hour papers, each marked out of 100 and worth 50%. Paper 1 covers Pure Mathematics; Paper 2 has Section A on Pure Mathematics (40 marks) and Section B on Probability and Statistics (60 marks).

Is a graphing calculator allowed?

Yes. The use of an approved GC without computer algebra system is expected, and the papers are set on the assumption that candidates have access to one.

Is a formula list provided?

Yes. The syllabus states that candidates will be provided with a list of formulae and results in the examination. The SEAB listing page links it as List of Formulae and Results (MF27).

Does H2 Mathematics need Additional Mathematics?

The syllabus assumes O-Level Mathematics and appends the assumed knowledge from O-Level Additional Mathematics. It does not state a formal entry requirement.

Can students choose which questions to answer?

No. Candidates are expected to answer all questions in both papers.

Where do I download the H2 Mathematics syllabus?

From the SEAB page for 2027 GCE A-Level Syllabuses Examined for School Candidates, where Mathematics is listed under H2 code 9758. The formula list is linked on the same page.

Helpful Reading

The eduKateSG Syllabus Series

Plain-language guides to SEAB syllabuses, from PSLE to A-Level. More guides are being added.

Primary (PSLE)

Secondary (SEC)

Junior College (A-Level)

A-Level General Paper (8881)
A-Level H2 Mathematics (9758) (this guide)

A-Level H2 Mathematics Syllabus: Read the Rules, Then the Topics

The syllabus is not a textbook.

It is a map.

Two papers. Six topics. Three objectives.

Read it once properly, and every topic has a place.

Know what the calculator can do, and what it cannot.

Then work steadily, one topic and one mixed question at a time.

Arrange a Parent–Student Consultation

Speak with us about your child’s level, recent results, learning gaps and the dates ahead.

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How to Make Sense of the A-Level H2 Mathematics Syllabus in Singapore | 9758 Papers, Topics and Marks