NABTEB Mathematics Syllabus 2026/2027
NABTEB Mathematics Syllabus 2026/2027: The National Business and Technical Examinations Board (NABTEB) mathematics syllabus is now available for download in PDF online.
The syllabus was prepared by the National Business and Technical Examinations Board to guide prospective candidates preparing for the examination. It compiles key topics and study areas, carefully arranged by subject experts to help students prepare effectively for the NABTEB exams.
Aims & Objectives
This course equips trainees with sound mathematical knowledge to aid understanding and application of technical software and hardware while improving problem-solving skills in their trades. It also prepares candidates for post-secondary technical education.
All candidates must answer questions from general mathematics, while those in secretarial studies and bookkeeping will also answer questions from commercial mathematics. The examination scheme follows thereafter.
Scheme of Examination
The examination consists of two papers:
- 002-1 – Paper I (1½ Hrs)
- 002-2 – Paper II (2½ Hrs)
The total mark for both papers is 150.
- 1. Paper I is made up of 50 multiple-choice items for 50 marks. All candidates are
expected to attempt this paper. - 2. Paper II: Consists of three sessions namely A, B and C.
Section A consists of five questions from General Mathematics. All candidates are expected to attempt all questions. This section carries 40 marks.
Section B consists of six questions. All candidates are to attempt any four of the six
questions, except for secretarial and business candidates,
Section C consists of four questions from commercial mathematics for secretarial and Business candidates only. Candidates are expected to attempt any two out of the four questions. Each question carries 15 marks.
Candidates should be familiar with units—length, area, cubic capacity, mass – and their abbreviations. Any currency unit used will be defined.
Examination Materials:
Candidates are allowed to use the recommended mathematical statistical tables in the examination hall for the papers.
It is strongly recommended that schools/candidates obtain copies of these tables for use through the course.
Candidates should bring rules and complete mathematical instrument set for all papers.
Borrowing of instruments from other candidates in the examination hall will not be allowed.
The use of noiseless, cordless, and non-programmable calculators is allowed.
If required, the following will be provided for any paper.
(i)Plain drawing sheets for construction work.
(ii) Graph paper ruled in 2 mm squares
NABTEB Mathematics Syllabus 2026/2027
| 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 |
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