Home » NABTEB Syllabus » The NABTEB Mathematics syllabus is a comprehensive guide here to equip you with essential mathematical skills and knowledge you need to prepare for before the exams.
Topics included in the syllabus include sets, surd, logical reasoning, probability, algebra, etc. You should see this syllabus as a compass that is here to give you directions on what to focus on for your exams. Read and understand the topics below and you can rest assured that you will come out of your exam hall smiling.
This course is designed to:
The examination consists of Two Papers: Paper I which is the objective section will last for 1 1⁄2 Hrs and Paper II which is the theory section will last for 2 1⁄2 Hrs.
The total mark for both papers will be 150marks
PAPER I: OBJECTIVES SECTION
Will consist of 50 multiple-choice items for 50 marks and will last for 1 hour and 30 minutes
All candidates are expected to attempt this paper.
PAPER II: THEORY
Will consist of three sessions namely A, B, and C. It will last for 2 hours 30 minutes.
All candidates are expected to attempt all questions. This section carries 40 marks.
Candidates will be asked to attempt any four of the six questions except Secretarial and Business candidates who are to attempt only two questions.
Each question will carry 15 Marks.
Candidates will be expected to attempt any two out of the four questions. Each question carries 15 marks.
NOTE: Candidates should be familiar with length, area, cubic capacity, mass – and their abbreviations. Any currency unit used will be defined.
| NABTEB MATHEMATICS SYLLABUS | ||
| SN | TOPICS | OBJECTIVES |
| GENERAL MATHEMATICS | ||
| 1 | NUMBER BASES | i. Count and perform Basic arithmetic operations in different bases. |
| 2 | SYSTEM INTERNATIONALE UNIT | i. Solve problems involving S.I. and imperial units. |
| 3 | FRACTIONS | i. Solve arithmetic operations involving vulgar and decimal fractions. |
| 4 | STANDARD FORMS | i. Express numbers in standard forms and to the required number and to the required of significant figures |
| 5 | RATIO & PROPORTION | i. Solve problems on ratio and proportion |
| 6 | VARIATION | i. Direct, inverse and partial variations. Joint variations. |
| 7 | PERCENTAGES, PROFIT & LOSS | i. Apply the principles of percentages to fractions and decimal |
| 8 | SIMPLE INTEREST | i. Solve problems involving simple interest. |
| 9 | LOGARITHM | i. Apply logarithms, square And square root tables in calculations |
| 10 | INDICES | i. Apply the laws of science and technical indices in subjects should be simplification and emphasized and exercises calculation. |
| 11 | RELATIONSHIP BETWEEN INDICES & LOGARITHM | i. Explain the relationship between indices and logarithms |
| 12 | RULES OF LOGARITHM | i. Identify and apply the basic rules of logarithm. |
| 13 | ARITHMETIC & GEOMETRIC PROGRESSIONS | i. Identify ordinary level sequence patterns mathematics. and ii. calculate the nth term of a given sequence in AP and GP. |
| 14 | SETS | i. Solve problems involving sets using venn diagram |
| 15 | LOGICAL REASONING | i. Simple statements ii. True and false statements. iii. Negation of 5 statements. iv. Implication, equivalence and valid argument |
| 16 | SURDS | i. Simplification & rationalization of simple surds |
| 17 | ALGEBRAIC PROCESSES I | i. Solve basic arithmetic operations with algebraic Processes |
| 18 | SIMPLE EQUATION | i. Solve problems involving simple equations. |
| 19 | ALGEBRAIC PROCESSES II | i. Linear simultaneous Equation. a) Solve linear simultaneous equations in two variables. |
| 20 | ALGEBRAIC EXPRESSIONS | i. Solve simple equations involving fractions. ii. Factorise simple quadratic expressions. |
| 21 | GRAPHS OF ALGEBRAIC EXPRESSIONS | i. Solve simultaneous linear and algebraic expressions graphically |
| 22 | QUADRATIC EQUATIONS | i. Solve quadratic equations using appropriate method. ii. Construct quadratic equations with given roots. iii. Solve word problems involving quadratic equations. iv. Graphs of Linear and Quadratic function. v. Linear Inequalities |
| 23 | PLANE FIGURES | i. Identify plane figures by their properties |
| 24 | PERIMETERS AND AREAS OF PLANE FIGURES | i. Circulate the perimeter and areas of simple geometric plane figures. |
| 25 | AREAS OF REGULAR & IRREGULAR SHAPE | i. Calculate the areas of regular and irregular shapes |
| 26 | LINES & ANGLES | i. Identify the different types of lines and angles |
| 27 | POLYGONS | i. Identify the types of triangles and polygons. ii. Apply the sum of the angles of a triangle to calculate any interior or exterior angle of a triangle. iii. Apply the sum of interior angles of a polygon of n sides to calculate any interior or exterior angle. |
| 28 | CONSTRUCTION | i. Construct simple geometrical construction |
| 29 | LOCI | i. Define and construct loci of moving points in two dimensions. |
| 30 | MID-POINT & INTERCEPT THEOREMS | i. Apply the intercept and mid- point theorems to solve exercises. |
| 31 | SIMILAR TRIANGLES | i. Apply the properties of similar triangles to solve exercises on plane geometrical figures and solids |
| 32 | CHORD & TANGENT OF A CIRCLE | i. Illustrate with examples the theorems associated with the chord and tangent of a circle. ii. Apply the theorem associated with Chord and tangent of a circle to construction exercises. |
| 33 | CONGRUENT TRIANGLES | i. Apply the conditions of congruency to solve exercises on triangles |
| 34 | PROPERTIES OF QUADRILATERALS | i. Solve problems involving the properties of parallelograms |
| 35 | CIRCLES, ARCS, RADIUS, DIAMETER, SECTOR & SEGMENT | i. Calculate lengths and areas related to the circle |
| 36 | MENSURATION & PYTHAGORAS THEOREM | i. Apply the principles of Pythagoras’ to solve problems involving right- angled triangles |
| 37 | AREAS & VOLUMES OF SOLID | i. Calculate the surface area and volume of solid figures |
| 38 | LONGITUDE & LATITUDE | i. Calculate distances along lines of latitude and longitude |
| 39 | IRREGULAR GEOMETRIC FIGURES | i. Solve exercises involving areas of irregular figures. |
| 40 | EVERYDAY STATISTICS | i. Interpret graphs and charts. ii. Calculate statistical average with equal and unequal forms. |
| 41 | PROBABILITY | i. Define probability terms. ii. Solve problems on theoretical and experimental probabilities. |
| 42 | TRIGONOMETRY I | i. Apply trigonometric ratios to solve simple problems |
| 43 | TRIGONOMETRY II | i. Apply sine and cosine rules to solve problems |
| 44 | VECTORS & TRANSFORMATION IN A PLANE | i. Vectors in a plane. ii. Transformations in the Cartesian coordinate plane |
| COMMERCIAL MATHEMATICS | ||
| 45 | SIGNIFICANT FIGURES | i. Identify the problems of significant digit as it relates to zero. |
| 46 | STATISTICAL COMPUTATION | i. State different kinds of averages and their uses. ii. Calculate statistical problems as related to basic business problem |
| 47 | RATIO & PROPORTION | i. Solve exercises on proportions and proportional parts. |
| 48 | PERCENTAGES | i. Solve exercises in percentages related to buying and selling |
| 49 | PROFIT & LOSS | i. Solve exercises involving profit and loss |
| 50 | ALIQUOT PARTS COMMISSION AND DISCOUNT | i. Solve problems involving Aliquot parts commission and discount |
| 51 | COSTING | i. Identify the various element by costs |
| 52 | BUDGETING | i. Applying the principle of simple budgeting. |
| 53 | COST & SELLING PRICE | i. Solve problems involving cost and selling price. |
| 54 | SIMPLE AND COMPOUND INTEREST | i. Solve simple problem involving simple and compound interest. |
| 55 | DEPRECIATION | i. Calculate depreciation |
| 56 | INSTALLMENT PAYMENTAL AND HIRE PURCHASE | i. Solve problems involving instalmental payments and Hire Purchase. |
| 57 | RATES | i. Convert one currency to another currency i.e. foreign exchange |
| 58 | RATES, INCOME TAX, INSURANCE AND FREIGHTS | i. Solve problems involving income tax, rates on insurance and freights. |
| 59 | PAYROLLS | i. Prepare payment of wages |
| 60 | STOCK & SHARES | i. Solve simple problems in stock and shares |
| 61 | BANKRUPTCY | i. Solve problems involving bankruptcy |
The exam will contain 2 papers which will be taken together. Paper 1 will last for 1 hour 30 minutes while paper 2 will last for 2 hours 30 minutes.
Try to practice past questions as often as you can. Work on understanding the concepts behind the problems rather than just memorizing formulas.
Yes, you should familiarize yourself with essential formulas and equations related to algebra, geometry, trigonometry, and calculus.
Yes. The use of noiseless, cordless, and non-programmable calculators is allowed.
Common mistakes include improper time management, not reading and following instructions, not showing workings fully, and careless errors in calculations. To avoid these, try to read and understand all questions and instructions, show all your workings, and double-check your answers.
Time management is a very important skill for every exam. To manage time well, ensure you do not spend so much time on a particular question. Once you’re not sure of a question, leave it and answer others then come back to review and cross-check your work.
Practice, practice, practice. Study the syllabus, recommended textbooks, notes, and past questions together. You can also ask your teacher or tutor questions on topics you don’t understand
