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All Systems Operational

Mathematics syllabus for NABTEB | Learn | Learn by Rightal

NABTEB course

Mathematics

NABTEB

64 topics sit in this course for NABTEB.

Practice Mathematics All subjects

Learn/NABTEB/Syllabus/Mathematics

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Practice opens in your NABTEB workspace after you sign in. Questions and lecture notes stay there.

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Official rules, eligibility, and dates stay on the NABTEB guide.

Topics with a public outline

Number Bases
Count and perform basic arithmetic operations in different bases, including modular arithmetic.
Significant Figures
Identify the role and problems of significant figures, particularly concerning zeros.
Statistical Computation
State different kinds of averages and their uses, and calculate statistical problems related to basic business scenarios.
Ratios and Proportions
Solve exercises on proportions and proportional parts, including partnerships and percentages.
Percentages
Solve exercises in percentages related to buying and selling, including price calculations and mark-ups/downs.
Standard Forms
Express numbers in standard forms and to the required number of significant figures or decimal places.

course outline

GENERAL MATHEMATICS

Profit and Loss

Solve exercises involving profit and loss, including gross and net profit calculations as percentages of sales.

Aliquot Parts Commission and Discount

Solve problems involving aliquot parts, commission, and various types of discounts.

Percentages, Profit and Loss

Apply the principles of percentages to fractions and decimals, and perform calculations related to profit and loss.

Costing

Identify the various elements of costs and calculate the unit cost of a product.

Budgeting

Apply the principles of simple budgeting, including income, expenditure, and comparison of actual results with the budget.

Logarithms

Apply logarithms and anti-logarithm tables in calculations involving multiplication, division, powers, and roots.

Cost and Selling Price

Solve problems involving cost and selling price, including calculating profit as a percentage of cost or selling price.

Simple and Compound Interest

Differentiate between and solve problems involving simple and compound interest.

Depreciation

Calculate depreciation using different methods like straight-line and reducing balance.

Arithmetic and Geometric Progressions

Identify sequence patterns and calculate the nth term and sum of arithmetic and geometric progressions.

Sets

Solve problems involving sets using Venn diagrams and understanding set notation.

Logical reasoning

Understand simple statements, truth values, negation, implication, equivalence, and valid arguments.

Algebraic Processes

Solve basic arithmetic operations with algebraic symbols, including simplifying expressions and changing the subject of formulae.

Algebraic Process; Linear simultaneous Equation

Solve linear simultaneous equations in two variables using elimination or substitution methods and apply to word problems.

Algebraic Expressions

Factorise simple quadratic and non-quadratic expressions, and solve equations involving fractions.

Quadratic Equations

Solve quadratic equations using factorization, completing the square, or the formula method, and construct quadratic equations with given roots.

Graphs of Linear and Quadratic function

Plot and interpret graphs of linear and quadratic functions, and solve equations graphically.

Linear Inequalities

Solve linear inequalities in one variable and represent them on a number line, and solve linear inequalities in two variables graphically.

Plane figures

Identify plane figures by their properties, including triangles, quadrilaterals, and polygons.

Perimeters and Areas of Plane Figures

Calculate the perimeters and areas of simple geometric plane figures like squares and rectangles.

Areas of Regular and Irregular Shapes

Calculate the areas of various regular and irregular shapes using specific formulae.

Lines and Angles

Identify the different types of lines and angles, and understand their properties and measurement.

Polygons

Identify types of triangles and polygons, and apply angle sum properties to calculate interior and exterior angles.

Constructions

Construct simple geometrical figures and angles using instruments like protractors and compasses.

Loci

Define and construct loci of moving points in two dimensions based on given conditions.

Mid-point and Intercept Theorems

Apply the intercept and mid-point theorems to solve exercises related to the proportional division of lines.

Similar Triangles

Apply the properties of similar triangles to solve exercises on plane geometrical figures and solids.

Chord and Tangent of a Circle

Illustrate and apply theorems associated with the chord and tangent of a circle.

Congruent Triangles

Apply the conditions of congruency (SSS, SAS, SAA, RHS) to solve exercises on triangles.

Properties of Quadrilaterals

Solve problems involving the properties of parallelograms, rhombuses, rectangles, and squares.

Mensuration Pythagoras Theorem

Apply the principles of Pythagoras' theorem to solve problems involving right-angled triangles.

Areas and Volumes of solids

Calculate the surface area and volume of various solid figures including cuboids, cylinders, cones, and pyramids.

Longitude and Latitude

Calculate distances along lines of latitude and longitude, treating the Earth as a sphere.

Irregular Geometric Figures

Solve exercises involving areas of irregular figures using methods like the mid-ordinate and trapezoidal rules.

Everyday Statistics

Interpret graphs and charts, and calculate statistical averages (mean, median, mode) for grouped data.

Probability

Define probability terms and solve problems on theoretical and experimental probabilities, including mutually exclusive and independent events.

Trigonometry

Apply trigonometric ratios to solve simple problems involving heights, distances, and areas.

Vectors and transformation in a plane

Understand vectors as directed line segments and perform transformations like reflection, rotation, and translation in the Cartesian plane.

Algebraic Process; Linear simultaneous Equation

Algebraic Expressions

Graphs of Algebraic Expression

Quadratic Equations

Graphs of Linear and Quadratic function

Linear Inequalities

Perimeters and Areas of Plane Figures

Areas of Regular and Irregular Shapes

Lines and Angles

Mid-point and Intercept Theorems

Similar Triangles

Chord and Tangent of a Circle

Congruent Triangles

Properties of Quadrilaterals

Circles-Arcs, Radius, Diameter, Sector and Segment

Mensuration Pythagoras Theorem

Areas and Volumes of solids

Longitude and Latitude

Irregular Geometric Figures

Everyday Statistics

Vectors and transformation in a plane

COMMERCIAL MATHEMATICS

Significant Figures
Statistical Computation
Ratios and Proportions
Percentages
Profit and Loss
Aliquot Parts Commission and Discount
Costing
Budgeting
Cost and Selling Price
Simple and Compound Interest
Depreciation
Instalmental Payment and Hire Purchase
Rates
Rates, Income Tax, Insurance and Freights
Payrolls
Stock and Shares
Bankruptcy