General Mathematics Mathematics Core focuses on essential mathematical concepts and skills necessary for everyday life and entrepreneurial activities. This syllabus includes topics such as number systems, algebraic processes, mensuration, and statistics, aimed at enhancing problem-solving abilities. It is designed for students preparing for examinations, ensuring they grasp fundamental mathematics principles. The document outlines an examination scheme, detailing the structure and types of questions students can expect.

Key Points

  • Covers essential mathematical concepts for everyday living and entrepreneurship.
  • Includes topics such as number systems, algebra, and statistics.
  • Designed for students preparing for mathematics examinations.
  • Outlines an examination scheme with multiple-choice and essay questions.
Aniya Love
16 pages
Language:English
Type:Syllabus
Math
Aniya Love
16 pages
Language:English
Type:Syllabus
Math
328
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GENERAL MATHEMATICS/MATHEMATICS (CORE)
1. AIMS OF THE SYLLABUS
The aims of the syllabus are to test candidates’:
(1) mathematical competency and computational skills;
(2) understanding of mathematical concepts and their relationship to the
acquisition of entrepreneurial skills for everyday living in the global world;
(3) ability to translate problems into mathematical language and solve them
using appropriate methods;
(4) ability to be accurate to a degree relevant to the problem at hand;
(5) logical, abstract and precise thinking.
This syllabus is not intended to be used as a teaching syllabus. Teachers are advised to
use their own National teaching syllabuses or curricular for that purpose.
1. EXAMINATION SCHEME
There will be two papers, Papers 1 and 2, both of which must be taken.
PAPER 1: will consist of fifty multiple-choice objective questions, drawn from the common
areas of the syllabus, to be answered in 1½ hours for 50 marks.
PAPER 2: will consist of thirteen essay questions in two sections – Sections A and B, to be
answered in 2½ hours for 100 marks. Candidates will be required to answer ten
questions in all.
Section A - Will consist of five compulsory questions, elementary in nature carrying a
total of 40 marks. The questions will be drawn from the common areas of
the syllabus.
Section B - will consist of eight questions of greater length and difficulty. The
questions shall include a maximum of two which shall be drawn from
parts of the syllabuses which may not be peculiar to candidates’ home
countries. Candidates will be expected to answer five questions for
60marks.
2. DETAILED SYLLABUS
The topics, contents and notes are intended to indicate the scope of the questions which
will be set. The notes are not to be considered as an exhaustive list of
illustrations/limitations.
TOPICS
CONTENTS
NOTES
A. NUMBER AND
NUMERATION
( a ) Number bases
( i ) conversion of numbers from
one base to another
( ii ) Basic operations on number
bases
Conversion from one
base
to base 10 and vice versa.
Conversion from one base to
another base .
Addition, subtraction and
multiplication of number
bases.
(b) Modular Arithmetic
(i) Concept of Modulo Arithmetic.
(ii) Addition, subtraction and
multiplication operations in
modulo arithmetic.
(iii) Application to daily life
Interpretation of modulo
arithmetic e.g.
6 + 4 = k(mod7),
3 x 5 = b(mod6),
m = 2(mod 3), etc.
Relate to market days,
clock,shift duty, etc.
( c ) Fractions, Decimals and
Approximations
(i) Basic operations on fractions
and decimals.
(ii) Approximations and
significant figures.
Approximations should be
realistic e.g. a road is not
measured correct to the
nearest cm.
( d ) Indices
( i ) Laws of indices
e.g.
a
x
x
a
y
=
a
x
+
y
,
a
x
a
y
=
a
x
–
y
, (
a
x
)
y
=
a
xy
, etc where
x
,
y
are real numbers and
a
≠0.
Include simple examples of
( ii ) Numbers in standard form
( scientific notation)
indices.
Expression of large and small
numbers in standard form
e.g. 375300000 = 3.753 x 10
8
0.00000035 = 3.5 x 10
-7
Use of tables of squares,
square roots and reciprocals
is accepted.
( e) Logarithms
( i ) Relationship between indices
and logarithms e.g.
y
=
10
k
implies log
10
y
=
k
.
( ii ) Basic rules of logarithms e.g.
log
10
(
pq
) = log
10
p
+ log
10
q
log
10
(
p
/
q
) = log
10
p
– log
10
q
log
10
p
n
=
n
log
10
p
.
(iii) Use of tables of logarithms
and antilogarithms.
Calculations involving
multiplication, division,
powers and roots.
( f ) Sequence
and Series
(i) Patterns of sequences.
(ii) Arithmetic progression (A.P.)
Geometric Progression (G.P.)
Determine any term of a
given sequence. The notation
U
n
= the nth termof a
sequence may be used.
Simple cases only, including
word problems. (Include sum
for A.P. and exclude sum for
G.P).
( g ) Sets
(i) Idea of sets, universal sets,
finite and infinite sets,
subsets, empty sets and
disjoint sets.
Idea of and notation for union,
intersection and complement
of sets.
(ii) Solution of practical problems
involving classification using
Venn diagrams.
Notations:
{ },
,
P’( the compliment of P).
♦• properties e.g.
commutative, associative and
distributive
Use of Venn diagrams
restricted to at most 3 sets.
( h ) Logical Reasoning
Simple statements. True and
false statements. Negation of
statements, implications.
Use of symbols:
use of
Venn diagrams.
(i
) Positiv
e and nega
tive
integers, rational numbers
The four basic operations on
rational numbers.
Match rational numbers with
points on the number line.
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End of Document
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FAQs

what is general mathematics mathematics core syllabus

The General Mathematics Mathematics Core syllabus outlines the aims and examination scheme for candidates.

  • It focuses on mathematical competency and computational skills.
  • It includes understanding mathematical concepts related to everyday living.
  • The syllabus is structured into two papers: Paper 1 with multiple-choice questions and Paper 2 with essay questions.

how many papers are in the general mathematics mathematics core exam

The General Mathematics Mathematics Core exam consists of two papers.

  • Paper 1: Contains fifty multiple-choice questions, to be completed in 1½ hours for a total of 50 marks.
  • Paper 2: Comprises thirteen essay questions divided into two sections, with a total of 100 marks, requiring candidates to answer ten questions.

what topics are covered in the general mathematics mathematics core syllabus

The General Mathematics Mathematics Core syllabus covers a variety of topics essential for mathematical understanding.

  • Number and Numeration: Includes number bases, modular arithmetic, fractions, decimals, and indices.
  • Algebraic Processes: Focuses on algebraic expressions, linear equations, and quadratic equations.
  • Mensuration: Covers areas and volumes of various shapes.
  • Statistics and Probability: Discusses frequency distribution, mean, median, mode, and basic probability concepts.

what are the key aims of the general mathematics mathematics core syllabus

The key aims of the General Mathematics Mathematics Core syllabus are to enhance candidates' mathematical skills.

  • To develop mathematical competency and computational skills.
  • To foster an understanding of mathematical concepts in real-world contexts.
  • To enable candidates to translate problems into mathematical language and solve them accurately.
  • To encourage logical and abstract thinking.

what is included in the general mathematics mathematics core exam structure

The structure of the General Mathematics Mathematics Core exam is designed to assess various competencies.

  • Paper 1: Fifty multiple-choice questions covering common syllabus areas.
  • Paper 2: Thirteen essay questions divided into two sections, requiring answers to ten questions.
  • Section A includes five compulsory questions, while Section B has eight questions of greater complexity.

what types of questions are in the general mathematics mathematics core exam

The General Mathematics Mathematics Core exam features different types of questions to evaluate understanding.

  • Multiple-choice questions: Found in Paper 1, testing basic concepts.
  • Essay questions: In Paper 2, requiring detailed answers and application of concepts.
  • Questions cover a range of topics including algebra, geometry, and statistics.

how long is the general mathematics mathematics core exam

The General Mathematics Mathematics Core exam has a specific time allocation for each paper.

  • Paper 1: 1½ hours for fifty multiple-choice questions.
  • Paper 2: 2½ hours to answer thirteen essay questions.

what are the main sections in the general mathematics mathematics core syllabus

The General Mathematics Mathematics Core syllabus is divided into several main sections.

  • Number and Numeration: Covers number systems and operations.
  • Algebraic Processes: Focuses on algebraic expressions and equations.
  • Mensuration: Involves calculations of areas and volumes.
  • Statistics and Probability: Discusses data interpretation and probability concepts.

what is the significance of the general mathematics mathematics core syllabus

The General Mathematics Mathematics Core syllabus is significant for various reasons.

  • It provides a framework for assessing mathematical understanding.
  • It prepares students for real-life applications of mathematics.
  • It fosters critical thinking and problem-solving skills essential for everyday situations.

what skills are developed through the general mathematics mathematics core syllabus

The General Mathematics Mathematics Core syllabus helps develop essential mathematical skills.

  • Computational skills for accurate calculations.
  • Problem-solving skills through real-world applications.
  • Logical reasoning and abstract thinking abilities.
  • Understanding of mathematical concepts relevant to daily life.