You must study the WAEC Further Mathematics syllabus in order to take the test. The format, notes, and goals for the Further Mathematics exam are all included.

You must study the Further Mathematics curriculum in order to be prepared for your exam. You can use it as a guide to help you decide which topics to read about. Additionally, there are notes on ideas that you ought to learn carefully.

Exam preparation without reference to the Further Mathematics syllabus is equivalent to visiting a field without your farm equipment. You won’t be effective in the end.

Make sure to use the syllabus when you start your exam preparations.

The West African Examination Council’s syllabus for further mathematics and list of suggested textbooks are included in this section (WAEC).

Contents

## WAEC Further Mathematics

### Aims of the Syllabus

The aims of the syllabus are to test candidatesâ€™

- development of further conceptual and manipulative skills in Mathematics;
- understanding of an intermediate course of study which bridges the gap between Elementary Mathematics and Higher Mathematics;
- acquisition of aspects of Mathematics that can meet the needs of potential Mathematicians, Engineers, Scientists and other professionals.
- ability to analyse data and draw a valid conclusion
- logical, abstract and precise reasoning skills.

### Examination Scheme

Papers 1 and 2 are the two required papers, and both must be taken.

40 multiple-choice objective questions spanning the whole syllabus will make up PAPER 1. Candidates will have one hour to complete all of the questions for 40 points. The following portions of the curriculum will be used to generate the questions:

30 questions in pure mathematics

Four questions about statistics and probability

6 questions about vectors and mechanics

Sections A and B of Paper 2 must be answered in two hours for a total of 100 points.

Section A will have eight elementary-level, required questions totaling 48 marks. The questions will be given out in the following order:

Papers 1 and 2 are the two required papers, and both must be taken.

40 multiple-choice objective questions spanning the whole syllabus will make up PAPER 1. Candidates will have one hour to complete all of the questions for 40 points. The following portions of the curriculum will be used to generate the questions:

30 questions in pure mathematics

Four questions about statistics and probability

6 questions about vectors and mechanics

Sections A and B of Paper 2 must be answered in two hours for a total of 100 points.

Section A will have eight elementary-level, required questions totaling 48 marks. The questions will be given out in the following order:

- Pure Mathematics â€“ 4 questions
- Statistics and Probability â€“ 2 questions
- Vectors and Mechanics â€“ 2 questions

Seven longer and harder questions divided into three sections make up Section B. Following are Parts I, II, and III:

- Part I: Â Â Â Pure Mathematics â€“ 3 questions
- Part II: Â Â Statistics and Probability â€“ 2 questions
- Part III: Â Vectors and Mechanics â€“ 2 questions

For a total of 52 marks, candidates must respond to four questions, at least one from each part.

## WAEC Further Mathematics Syllabus

In addition to the following topics, more challenging questions may be set on topics in the General Mathematics/Mathematics (Core) syllabus.

In the column for CONTENTS, more detailed information on the topics to be tested is given while the limits imposed on the topics are stated under NOTES.

Topics which are marked with asterisks shall be tested in Section B of Paper 2 only.

**KEY:**

- * Topics peculiar to Ghana only.
- ** Topics peculiar to Nigeria only

### Pure Mathematics

- Sets
- Surds
- Binary Operations
- Logical Reasoning
- Functions
- Polynomial Functions
- Rational Functions
- Indices and Logarithmic Functions
- Permutation and Combinations.
- Binomial Theorem
- Sequences and Series
- Matrices and Linear Transformation
- Trigonometry
- Co-ordinate Geometry
- Differentiation
- Integration

### Statistics and Probability

- Statistics
- Probability

### Vectors and Mechanics

- Vectors
- Statics
- Dynamics

__UNITS__

Candidates should be familiar with the following units and their symbols.

**( 1 ) Â **__Length__

1000 millimetres (mm) = 100 centimetres (cm) = 1 metre(m).

1000 metres = 1 kilometre (km)

**( 2 ) Â **__Area__

10,000 square metres (m^{2}) = 1 hectare (ha)

**( 3 ) Â **__Capacity__

1000 cubic centimeters (cm^{3}) = 1 litre (l)

**( 4 ) Â **__Mass__

milligrammes (mg) = 1 gramme (g)

1000 grammes (g) = 1 kilogramme( kg )

ogrammes (kg) = 1 tonne.

**( 5) Currencies**

The Gambia Â â€“ Â 100 bututs (b) = 1 Dalasi (D)

Ghana â€“ 100 Ghana pesewas (Gp) = 1 Ghana Cedi ( GHÂ¢)

Liberia â€“ 100 cents (c) = 1 Liberian Dollar (LD)

Nigeria â€“ 100 kobo (k) = 1 Naira (~~N~~)

Sierra Leone â€“ 100 cents (c) = 1 Leone (Le)

UK Â Â Â Â Â Â Â Â Â Â â€“ 100 pence (p) = 1 pound (Â£)

USA Â Â Â Â Â Â Â Â Â Â â€“ 100 cents (c) = 1 dollar ($)

French Speaking territories 100 centimes (c) = 1 Franc (fr)

Any other units used will be defined.

__OTHER IMPORTANT INFORMATION__

**(1) Use of Mathematical and Statistical Tables**

Mathematics and Statistical tables, published or approved by WAEC may be used in the examination room. Â Where the degree of accuracy is not specified in a question, the degree of accuracy expected will be that obtainable from the mathematical tables.

**Use of calculators**

The use of non-programmable, silent and cordless calculators is allowed. The calculators must, however not have a paper printoutÂ **nor be capable of receiving/sending any information. Phones with or without calculators are not allowed.**

**Other Materials Required for the examination**

Candidates should bring rulers, pairs of compasses, protractors, set squares etc required for papers on the subject. +

They willÂ **not**Â be allowed to borrow such instruments and any other material from other candidates in the examination hall.

Graph papers ruled in 2mm squares will be provided for any paper in which it is required.

**(4) Â Disclaimer**

In spite of the provisions made in paragraphs 2 (1) and (2) above, it should be noted that some questions may prohibit the use of tables and/or calculators.