WAEC Syllabus for Further Mathematics 2023/2024

The WAEC syllabus for Further Mathematics is the topic you must study to sit for the examination. It contains the aims and objectives, notes and format for the Further Mathematics exam.

Studying the Further Mathematics syllabus is necessary for your exam preparation. It will serve as a guide for you to know the topics to read. There are also notes on concepts you should pay attention to learning.

Exam preparations without using the Further Mathematics syllabus are like going to the farm without your agricultural tools. You will end up not being productive.

WAEC Further Mathematics

Aims of the Syllabus

The aims of the syllabus are to test candidates’

• 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

There will be two papers, Papers 1 and 2, both of which must be taken.

PAPER 1: will consist of forty multiple-choice objective questions, covering the entire syllabus. Candidates will be required to answer all questions in 1hours for 40 marks. The questions will be drawn from the sections of the syllabus as follows:

• Pure Mathematics – 30 questions
• Statistics and probability – 4 questions
• Vectors and Mechanics – 6 questions

PAPER 2: will consist of two sections, Sections A and B, to be answered in 2 hours for 100 marks.

Section A will consist of eight compulsory questions that are elementary in type for 48 marks. The questions shall be distributed as follows:

• Pure Mathematics – 4 questions
• Statistics and Probability – 2 questions
• Vectors and Mechanics – 2 questions

Section B will consist of seven questions of greater length and difficulty put into three parts: Parts I, II and III as follows:

• Part I:    Pure Mathematics – 3 questions
• Part II:   Statistics and Probability – 2 questions
• Part III:  Vectors and Mechanics – 2 questions

Candidates will be required to answer four questions with at least one from each part for 52 marks.

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

1. Sets
2. Surds
3. Binary Operations
4. Logical Reasoning
5. Functions
6. Polynomial Functions
7. Rational Functions
8. Indices and Logarithmic Functions
9. Permutation and Combinations.
10. Binomial Theorem
11. Sequences and Series
12. Matrices and Linear Transformation
13. Trigonometry
14. Co-ordinate Geometry
15. Differentiation
16. Integration

1. Statistics
2. Probability

Vectors and Mechanics

1. Vectors
2. Statics
3. Dynamics

UNITS

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

( 1 )  Length

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

1000 metres = 1 kilometre (km)

( 2 )  Area

10,000 square metres (m2) = 1 hectare (ha)

( 3 )  Capacity

1000 cubic centimeters (cm3) = 1 litre (l)

( 4 )  Mass

milligrammes (mg) = 1 gramme (g)

1000 grammes (g) = 1 kilogramme( kg )

ogrammes (kg) = 1 tonne.

( 5) Currencies

The Gambia   –  100 bututs (b) = 1 Dalasi (D)

Ghana – 100 Ghana pesewas (Gp) = 1 Ghana Cedi ( GH¢)

Liberia – 100 cents (c) = 1 Liberian Dollar (LD)

Nigeria – 100 kobo (k) = 1 Naira (N)

Sierra Leone – 100 cents (c) = 1 Leone (Le)

UK           – 100 pence (p) = 1 pound (£)

USA           – 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.  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 printout 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 will not 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)  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.

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