IMO
Class 1
Numerals, Number Name and Number Sense (2 digit numbers), Addition, Subtraction, Length, Weight, Time, Money, Geometrical Skills, Patterns, Odd One Out, Series Completion, Problems Based on Figures.
Class 2
Numerals and Number Name, Number Sense (3 digit numbers), Money, Measurement of Length (conversions), Weight, Time and Temperature, Calendar, Point, Line and Plane Figures, Problems Based on Figures, Patterns, Series Completion, Find Odd Numeral Out, Geometrical Shapes.
Class 3
Numerals and Number Name, Number Sense (4 digit numbers), Addition, Subtraction, Multiplication, Division, Fractions, Money, Length (conversions), Weight, Capacity, Time, Point, Problems Based on Figures, Odd One Out, Patterns, Series Completion, Coding-Decoding, Mirror Images, Embedded Figures, Straight Lines and Curved Lines, Geometrical Shapes.
Class 4
Numerals and Number Name (5 digit numbers), Place Value, Roman Numerals, Addition and Subtraction, Geometry : Square, Rectangle, Circle, Closed, Open Figure, Multiplication and Division, Factors and Multiples, Fractions, Measurement, Pictorial Representation of Data, Money, Time, Weight and Capacity, Series and Pattern Formation of Numbers and Figures, Conversions, Comparison, Perimeter of Various Shapes, Direction Sense, Mirror Images, Embedded Figures, Number Ranking, Alphabetical Test, Coding-Decoding, Mathematical Reasoning, Symmetry.
Class 5
Number sense, Numeral and Number Name (7 and 8 digit numbers), Roman Numbers, Addition, Subtraction, Multiplication, Division, Factors and Multiples, LCM, HCF, Rules of Divisibility, Whole, Prime and Composite Numbers, Fractions, Decimals, Geometrical Shapes & Angles, Circles, Symmetry, Measurement of Length, Mass, Capacity, Perimeter and Area of Rectangle, Square, Measurement of Volume, Temperature, Time and Various Operations on Time, Relationship Between Seconds, Minutes and Hours, Money, Representation of Data in Pictorial Form, Patterns, Formation of Numbers and Figures, Direction Sense, Number Ranking and Alphabetical Test, Series, Odd One Out.
Class 6
Knowing our Numbers, Whole Numbers, Playing with Numbers, Basic Geometrical Ideas, Understanding Elementary Shapes, Integers, Fractions, Decimals, Data Handling, Mensuration, Algebra, Ratio and Proportion, Symmetry, Practical Geometry.
Problems Based on Figures, Odd One Out, Series Completion, Coding-Decoding, Mathematical Reasoning, Mirror Images, Embedded Figures, Patterns, Direction Sense, Number Ranking and Alphabetical Test.
Class 7
Integers, Fractions and Decimals, Exponents and Powers, Algebraic Expressions, Simple Linear Equations, Lines and Angles, Concept of Percentage, Profit and Loss, Simple Interest, Probability, Properties of Triangle, Symmetry, Congruence of Triangles, Rational Numbers, Perimeter and Area, Data Handling, Arithmetical Ability, Visualising Solid Shapes.
Problems Based on Figures, Odd One Out, Series Completion, Coding-Decoding, Mathematical Reasoning, Mirror Images, Embedded Figures, Patterns, Direction Sense, Number Ranking and Alphabetical Test.
Class 8
• Section – I (Logical Reasoning) : Mathematical Operations, Series Completion, Direction Sense Test, Analytical Reasoning, Problems on Cubes and Dice, Number Ranking & Time Sequence Test and General Reasoning Based on Prescribed Syllabus.
• Section – II (Mathematical Reasoning): Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Exponents and Powers, Comparing Quantities, Algebraic Expressions and Identities, Linear Equations in One Variable, Understanding Quadrilaterals, Constructions, Mensuration, Visualising Solid Shapes, Data Handling, Direct and Inverse Variations, Factorisation, Introduction to Graphs, Playing with Numbers.
• Section – III (Everyday Mathematics): The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.
Class 9
• Section – I (Logical Reasoning) : Mathematical Operations, Series Completion, Arithmetical Reasoning, Problems on Cubes and Dice, Number Ranking & Time Sequence Test, Inserting Missing Character and General Reasoning Based on Prescribed Syllabus.
• Section – II (Mathematical Reasoning): Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, Surface Areas and Volumes, Statistics, Probability.
• Section – III (Everyday Mathematics): The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.
Class 10
• Section – I (Logical Reasoning): Direction Sense Test, Mathematical Operations, Number Ranking & Time Sequence Test, Coding-Decoding, Distance, Speed, Time and General Reasoning Based on Prescribed Syllabus.
• Section – II (Mathematical Reasoning): Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.
• Section – III (Everyday Mathematics): The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.
Class 11
Sets, Relations and Functions, Mathematical Induction, Logarithms, Complex Numbers & Quadratic Equations, Linear Inequations, Sequences and Series, Trigonometry, Straight Lines, Conic Sections, Trigonometry, Permutations and Combinations, Binomial Theorem, Statistics, Mathematical Logic, Limits and Derivatives Probability, Introduction to 3-D Geometry and Dice Verbal and Non-Verbal Reasoning.
Class 12
Relations and Function, Trignomentry, Matrices and Determinants, Continuity and Differentiability, Application of Derivatives, Integrab, Application of Integrab, Differentilal Equation, Vector Algebra, Three Dimensional Geometry, Linear Programming, Probability.
