Category Kids (Grades 1 & 2)
- Numbers: Matching, Ordering, Comparison.
- Measurement: Money, Time, Length, Weight.
- Geometry: Paper cutting and folding, Figure relations, Position and transformation, Comparison.
- Non-Routine Problem Solving: Mental math, brain teasers, shapes, patterns, and pictograms.
Category 1 (Grades 3 & 4)
- Numbers: Operations and properties, Counting and sequences, Fractions, Decimals, Percentage, Ratio and Proportion, Place value, Ordering and Rounding, Integers and Power, Money.
- Algebra: Expressions, Equations, Inequalities.
- Geometry and Measurement: Position and Transformation, Geometrical reasoning, Shapes and Measurements, Time.
- Data Collection and Analysis: Probability, Statistics, Average, Handling data.
- Word Problems: Verbal equations, Age, Number, Money, Distance, Time, Speed problems.
- Non-Routine Problem Solving: Number patterns, Divisibility tests, Spatial visualization, Logic problems, Simple cryptarithms, Mental math, Brain teasers.
Category 2 (Grades 5 & 6)
- Numbers: Operations and properties, BEDMAS rule, Counting and sequences, Fractions, Decimals, Percentages, Ratio and Proportion, Place value, Ordering and Rounding, Integers and Power, Money.
- Algebra: Expressions, Factorizations, Equations, Inequalities, Exponents, Radicals, Polynomials.
- Statistics and Probability: Combinatorics, Permutation, Presenting and interpreting data, Mean, Median, Range, Mode, Handling data.
- Word Problems: Verbal equations, Age, Number, Money, Distance, Time, Speed problems.
- Geometry and Measurement: Polygons, Angles, Circles, Solids, Length and Width, Area, Perimeter, Volume, Congruent figures.
- Non-Routine Problem Solving: Number patterns, Divisibility tests, Spatial visualization, Logic problems, Cryptarithms, Mental math, Brain teasers
Category 3 (Grades 7 & 8)
- Numbers: Rational numbers, Operations and properties, Counting and sequences, Fractions, Decimals, Percentages, Ratio and Proportion, Place value, Ordering and Rounding, Integers and Power, Money.
- Sets: Set language and notation, Concepts of sets, Set theory.
- Functions: Properties of functions, Transformation of graph, Graph of a function, Applied problems.
- Statistics and Probability: Combinatorics, Permutation, Probability, Statistics, Presenting and interpreting data, Average, Handling data.
- Word Problems: Verbal equations, Age, Number, Money, Distance, Time, Speed problems.
- Geometry and Measurement: Polygons, Angles, Circles, Solids, Area, Perimeter, Volume, Similarity, Pythagorean formula.
- Non-Routine Problem Solving: Number patterns, Divisibility tests, Spatial visualization, Logic problems, Cryptarithms, Mental math, Brain teasers.
Category 4 (Grades 9 & 10)
- Numbers: Operations and properties, Counting and sequences, Fractions, Decimals, Percentages, Ratio and Proportion, Place value, Integers and Power, Money.
- Algebra: Expressions, Factorizations, Equations, Inequalities, Exponents, Radicals, Polynomials.
- Sets: Set language and notation, Concepts of sets, Set theory.
- Functions: Composition of functions, Inverse functions, Properties of functions, Transformation of graphs, Graph of a function, Applied problems.
- Trigonometry: Fundamentals of trigonometry, Trigonometric functions, Trigonometric theorems and formulas, Trigonometric equations, Trigonometric inequalities.
- Statistics and Probability: Combinatorics, Permutation, Probability, Statistics, Presenting and interpreting data, Average.
- Geometry and Measurement: Polygons, Area, Perimeter, Coordinate geometry, Analytic analysis of lines, Similarity, Analytic analysis of circles, Solids.
- Non-Routine Problem Solving: Number patterns, Divisibility tests, Spatial visualization, Logic problems, Cryptarithms, Word problems
Category 5 (Grades 11 & 12)
- Quadratic Equations and Functions: Operations and properties, Counting and sequences, Fractions, Decimals, Percentages, Ratio and Proportion, Place value, Integers and Power, Money.
- Algebra: Expressions, Factorizations, Equations, Inequalities, Exponents, Radicals, Polynomials.
- Trigonometry: Fundamentals of trigonometry, Trigonometric functions, Trigonometric theorems and formulas, Trigonometric equations, Trigonometric inequalities.
- Series and Sequences: Series, Arithmetic sequences, Geometric sequences.
- Logarithmic and Exponential Functions: Properties and graphs of exponential functions, Exponential equations, Properties and graphs of logarithmic functions, Logarithmic equations, Exponential and logarithmic inequalities.
- Derivatives: Limit of a function, Indeterminate forms, Continuous functions, Techniques of differentiation, Applications of derivatives, Optimization problems, Plotting graphs.
- Integrals: Antiderivative and indefinite integral, Integration methods.
- Statistics and Probability: Combinatorics, Permutation, Probability, Statistics, Presenting and interpreting data, Average.
- Geometry and Measurement: Polygons, Coordinate geometry, Analytic analysis of lines, Symmetry, Analytic analysis of circles, Solids, Vectors.
- Non-Routine Problem Solving: Number patterns, Divisibility tests, Spatial visualization, Logic problems, Cryptarithms, Word problems