#### 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