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MATHEMATICS 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. Example 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.
(
(b) 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. Include error.
(c) Indices
(i) Laws of indices.
(ii) Numbers in standard
form.
Include simple examples of negative and
fractions indices.
e.g. 375.3 = 3.753 x 102
0.0035 = 3.5 x 10-3
Use of tables of squares,
square roots and reciprocals.
(d) Logarithms
(i) Relationship between
indices and
logarithms e.g.
y = 10k → K = log10 y
(ii) Basic rules of logarithms i.e.
log10 (pq) = log10P + log10q
log10 (p/q) = log10 P – log10q
log10Pn = nlog10P
(iii) Use of tables of logarithms,
Base 10 logarithm and
Antilogarithm tables.
Calculations involving
multiplication, division,
powers and square roots.
(e) Sequence
(i) Patterns of sequences.
Determine any term of a
given sequence.
*(ii) Arithmetic Progression (A.P)
Geometric Progression (G.P).
The notation Un = the nth term of
a sequence may be used.
Simple cases only, including word
problems. Excluding sum Sn.
(f) Sets
(i) Idea of sets, universal set,
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.

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