BASIC MATHEMATICS EXAMINATION FORMATFORM FOURĀ
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 candidatesā 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 beĀ one (1)Ā paper ofĀ three (3)Ā hours. The paper will consist of sections A and B with a total ofĀ 14Ā questions.
Candidates will be required to answerĀ allĀ the questions which will weighĀ 100Ā marks.
<> Section A will consist ofĀ ten (10)Ā short answer questions each carryingĀ six (6)Ā marks. Candidates will be required to answerĀ allĀ the questions. The section will weighĀ 60Ā marks.
<> Section B will consist ofĀ four (4)Ā long answer questions, each carryingĀ ten (10)Ā marks. Candidates will be required to answerĀ allĀ questions. The section will weighĀ 40Ā 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