| H1,
H2, H3 MATHEMATICS – SYLLABUS
The Mathematics Department offers three levels of
Mathematics, namely,Higher 1 (H1), Higher
2 (H2) and Higher 3 (H3) levels.
Students may offer H1 or H2 Mathematics. Those with
exceptional abilities in mathematics may offer H3 Mathematics in
addition to H2 Mathematics.
H1 MATHEMATICS
H1 Mathematics provides a foundation in mathematics
for students who intend to enrol in university courses such as business,
economics and social sciences. The syllabus aims to develop mathematical
thinking and problem solving skills in students. A major focus of
the syllabus will be the understanding and application of basic
concepts and techniques of statistics. This will equip students
with the skills to analyse and interpret data, and to make informed
decisions. The use of graphic calculator is expected.
H2
MATHEMATICS
H2 Mathematics prepares students adequately for university courses
including mathematics, physics and engineering, where more mathematics
content is required. The syllabus aims to develop mathematical thinking
and problem solving skills in students. Students will learn to analyse,
formulate and solve different types of problems. They will also
learn to work with data and perform statistical analyses. The use
of graphic calculator is expected.
This subject assumes the knowledge of O-Level Additional Mathematics.
H3
MATHEMATICS
H3 Mathematics offers students who have a strong aptitude for, and
are passionate about mathematics, an opportunity to further develop
their mathematical modeling and reasoning skills. The topics included
are Plane Geometry, Graph Theory, Combinatorics, and Differential
Equations. Students are required to study Differential Equations
and at least 2 of the other 3 topics. Students will learn the process
of mathematical modeling for real-world problems, which involves
making informed assumptions, validation and prediction. Students
will also be given the opportunity to visualize and explore theorems,
and to read and write mathematical proofs.
The use of graphic calculator is expected.
SCHEME OF EXAMINATION PAPER
H1
MATHEMATICS
There will be one 3-hour paper marked out of 100 as follows :
Section
A (Pure Mathematics – 40 marks) will consist of about
3 – 5 questions of different lengths and marks based on the
Pure Mathematics section of the syllabus.
Section
B (Statistics – 60 marks) will consist of about 6
– 8 questions of different lengths and marks based on the
Statistics section of the syllabus.
Candidates will be expected to answer ALL questions.
Knowledge of the content of O-Level Mathematics syllabus is assumed
in this syllabus and will not be tested directly, but it may be
required indirectly in response to questions on other topics.
H2
MATHEMATICS
There will be two 3-hour papers, each carrying 50% of the total
mark, and each marked out of 100, as follows:
Paper 1 (3 hours) – A paper consisting of
about 10 to 12 questions of different lengths and marks based on
the Pure Mathematics section of the syllabus.
Candidates will be expected to answer ALL questions.
Paper
2 (3 hours) – A paper consisting of 2 sections, Sections
A and B.
Section A (Pure Mathematics – 40 marks) will consist of about
3 – 4 questions of different lengths and marks based on the
Pure Mathematics section of the syllabus.
Section B (Statistics – 60 marks) will consist of about 6
– 8 questions of different lengths and marks based on the
Statistics section of the syllabus.
Candidates will be expected to answer ALL questions.
Knowledge of the content of O-Level Mathematics syllabus and of
some of the content of the O-Level Additional Mathematics syllabuses
are assumed in this syllabus and will not be tested directly, but
it may be required indirectly in response to questions on other
topics.
H3
MATHEMATICS
There will be one 3-hour paper marked out of 100 as follows:
Section A (40 marks) will consist of 4 questions
of different lengths and marks based
on Differential Equations. Candidates will be expected to answer
ALL questions.
Section B (56 marks)
will consist of three options, with 2 questions for each option.
Each question is worth 14 marks and candidates will be required
to answer any four.
Option 1: Plane Geometry
Option 2: Graph Theory
Option 3: Combinatorics
There will be 4 marks assigned for style and clarity of mathematical
presentation based on the whole paper. Each candidate will be rewarded
with 0 – 4 marks for the style and clarity of his or her presentation.
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