# GCE A Level 9758/8865 Mathematics Syllabus

Understanding the JC A Level Mathematics Syllabus

The A Level Mathematics are offered at two levels: Higher 1 (H1) and Higher 2 (H2). Depending on the subject stream and the fulfilment of the prerequisites, students will be required to take either the H1 or H2 Mathematics.

The main differences between the H1 and H2 Mathematics are the coverage of the topics and the examination format.

# GCE A Level 9758/8865 Mathematics Syllabus 2017

Understanding the JC A Level Mathematics Syllabus

The A Level Mathematics are offered at two levels: Higher 1 (H1) and Higher 2 (H2). Depending on the subject stream and the fulfilment of the prerequisites, students will be required to take either the H1 or H2 Mathematics.

The main differences between the H1 and H2 Mathematics are the coverage of the topics and the examination format.

## Areas of study for JC Mathematics

Students are expected to study wide-ranging chapters that can be classified into two sections: (i) Pure Mathematics and (ii) Statistics and Probability. The tutors will cover these sections separately to facilitate the development of a strong foundation in the chapters. During the pre-exam revision phase, the topics are integrated to familiarise students with exam-based questions.

### For H2 Mathematics Syllabus (9758)

### For H1 Mathematics Syllabus (8865)

#### Pure Mathematics

- Functions
- Graphs and transformations
- Equations and inequalities
- Sequences and series
- Vectors
- Complex Numbers
- Differentiation
- Maclaurin Series
- Integration
- Definite Integrals
- Differential Equations

#### Statistics and Probability

- Probability
- Discrete random variables
- Normal distribution
- Sampling
- Hypothesis testing
- Correlation and linear regression

#### Pure Mathematics

- Exponential and logarithmic functions and graphing techniques
- Equations and inequalities
- Differentiation
- integration

#### Statistics and Probability

- Binomial distribution
- Poisson distribution
- Normal distribution
- Sampling
- Hypothesis testing
- Correlation and linear regression

### For H1 Mathematics Syllabus (8865)

#### Pure Mathematics

- Exponential and logarithmic functions and graphing techniques
- Equations and inequalities
- Differentiation
- integration

#### Statistics and Probability

- Binomial distribution
- Poisson distribution
- Normal distribution
- Sampling
- Hypothesis testing
- Correlation and linear regression

## Examination Format for Maths

How will students be tested for A Level Mathematics?

Students taking the A Level Math examination should familiarise themselves with the exam format, so that they know what to expect and the key areas to focus on during the revision phase. Although students taking H1 or H2 Math will study both Pure Math and Probability and Statistics, the H2 math students will learn a wider range of topics.

### H2 Mathematics (9758) Exam Format

There are two papers that students have to take in separate sitting. Each student are expected to complete each paper in 3 hours.

#### Paper 1: Pure Mathematics

Paper 1 consists of questions only from the **Pure Mathematics Section** of the H2 Mathematics Syllabus. The maximum marks that can be obtained is 100 marks.

#### Paper 2: Pure Mathematics, Probability & Statistics

Paper 2 consists of two sections: Section A – Pure Mathematics and Section B –** Probability and Statistics**. Section A will total up to 40 marks in this paper while the Section B will total up to 60 marks in this paper. The maximum marks obtainable in this paper is 100 marks.

For each of the section, there will be at least two questions that involve applications of Mathematics to real-world contexts, such as finance, sciences, or engineering. The final grade is based on the average of the marks obtained for both papers.

Students are expected to answer all the questions from both papers. Where appropriate, students are expected to use the graphing calculator (GC) to aid them in solving the problems set by the questions.

### H1 Mathematics (8865) Exam Format

There is only one paper that students have to complete in 3 hours.

The paper consists of two sections: Section A – Pure Mathematics and Section B – Probability and Statistics.

**Section A** carries 40 marks and will include questions from exponential and logarithmic functions and graphing techniques, equations and inequalities, differentiation, and integration.

**Section B** carries 60 marks and include questions from binomial distribution, poisson distribution, normal distribution, sampling, hypothesis testing, and correlation and linear regression.

Students are expected to answer all the questions. Where appropriate, students are expected to use the graphing calculator (GC) to aid them in solving the problems set by the questions.

The List of Formulae and Statistical Tables will be provided during the examination. For more details on the syllabus, we advise students to view the SEAB syllabus for 2017 H2 Mathematics (9758) or H1 Mathematics (8865).

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