041
BASIC MATHEMATICS
(For
Both School and Private Candidates)
1.0
INTRODUCTION
This examination format is a
revised version of the format issued in 2008 by the National Examinations
Council of Tanzania (NECTA). The revised format is based on the Mathematics Syllabus
for Ordinary Secondary Education of 2005. The revisions made in this format aim
to assess candidates on items that are more competence-based, especially in
relation to applying higher order thinking skills.
2.0
GENERAL OBJECTIVES
The examination will test the
extent to which candidates are able to:
2.1 solve practical mathematical
problems in daily life;
2.2 apply mathematical concepts
in interpreting situations; and
2.3 use mathematical knowledge
and techniques in studying mathematics and related subjects.
3.0
GENERAL COMPETENCES
The examination will test the
candidates’ ability to:
3.1 think critically and
logically in interpreting and solving practical mathematical related problems;
3.2 use mathematical concepts to
explain and clarify mathematical related problems; and
3.3 apply mathematical knowledge
and techniques in other fields.
4.0
EXAMINATION RUBRIC
There will be one (1) paper
of three (3) hours. The paper will consist of sections A and B with a
total of 14 questions. Candidates will be required to answer all the
questions which will weigh 100 marks.
Section A will consist of ten
(10) short answer questions each carrying six
(6) Marks. Candidates
will be required to answer all the questions. The section will weigh 60
marks.
Section B will consist of four
(4) long answer questions, each carrying ten (10) marks. Candidates
will be required to answer all questions. The section will weigh 40
marks.
Note:
In attempting this paper
candidates will be allowed to use Mathematical tables published by the National
Examinations Council of Tanzania.
5.0
EXAMINATION CONTENT
The examination will be set from
the following topics:
5.1 Numbers
5.2 Fractions
5.3 Decimals
5.4 Percentages
5.5 Approximations
5.6 Exponents
5.7 Radicals
5.8 Logarithms
5.9 Algebra
5.10 Sets
5.11 Co-ordinate Geometry
5.12 Vectors
5.13 Geometry
5.14 Perimeter and areas
5.15 Congruence
5.16 Similarity
5.17 Units
5.18 Rates and variations
5.19 Ratio, profit and loss
5.20 Sequences and series
5.21 Trigonometry
5.22 Pythagoras Theorem
5.23 Quadratic equations
5.24 Linear programming
5.25 Statistics
5.26 Three dimensional figures
5.27 Circles
5.28 The earth as a sphere
5.29 Accounts
5.30 Matrices and transformations
5.31 Probability
5.32 Relations
5.33 Functions
