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.
H1 Mathematics
There will be one 3-hour paper marked out of 95 as follows :
Section A (Pure Mathematics – 35 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 4 questions with 2 questions each from the two topics Graph Theory and Combinatorics. Each question is worth 14 marks and candidates will be required to answer all four.
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.
