# SYLLABUS FOR VMO-2017

**Grade 1 : **Numbers, Addition, Subtraction, Shapes and Patterns, Money, Measurements, Multiplication, Time, Data handling, Division.

**Grade 2 : **2-Digit numbers, Addition and subtraction of 2-Digit numbers, 3-Digit numbers, Addition and subtraction of 3 digit numbers, Time, Shapes and patterns, Multiplication, Division, Money, Measurement, Fractions, Pictographs.

**Grade 3 :** Large numbers, Addition, Subtraction, Multiplication, Division, Fraction, Time, Money, Metric measures, Shapes, Data handling, symmetry and pattern, Roman Numbers,logical reasoning.

**Grade 4 : **Large numbers, Addition, Subtraction, Multiplication, Division and the unitary method, Factors and multiples, Geometry, Metric measures, Fractions, The decimal system, Time, Symmetry and patterns, Perimeter and area, Handling data, Roman numbers, Money,logical reasoning.

**Grade 5 : **Large numbers, Operation with numbers, Geometry, Factors and multiples, Fractions, Average, Time, Decimals, Simplification of numerical expression, Percentage, Metric measures, Area and volume, Money, Representing information in graphical form,Number pattern,Algebra,Symmetry,

**Logical reasoning.**

**Grade 6 : **More about numbers, Whole numbers, Factors & Multiples, Integers, Fractions, Decimals, Algebra, Simple equations, Ratio and proportions, Perimeter and area, Basic geometrical ideas, Understanding elementary shapes, Symmetry, Data handling, Roman numbers,Logical reasoning.

**Grade 7 : **Integers, Fractions, Decimals, Rational numbers, Operation on rational numbers, Exponents, Algebraic expressions, Simple equations, Comparing quantities, Lines and angles, Triangle and its properties, Congruent triangles, Perimeter and area, Data handling, Visualising solid shapes, pattern, Logical reasoning.

**Grade 8 :** Rational numbers, Exponents, [Squares, square roots, cubes, cube roots], Algebraic expressions, Direct and Inverse variation, Quadrilaterals, Visualising solid shapes, Menstruations, Aptitude questions, Data Handling, Ratio and proportion, Mean,Factorisation,Comparing Quantities, Commercial mathematics, Logical reasoning.

**Grade 9 : **Number systems, Polynomials, Coordinate geometry, Linear equation in two variables, Introduction to Euclid Geometry, Lines and angles, Triangles, Quadrilaterals, Areas of parallelograms and triangles, Circles, Constructions, Heron’s formula, Surface areas and volumes, Statistics, Probability, Logical reasoning.

**Grade 10 : **Real numbers, Polynomials, Pair of linear equation in two variables, Quadratic equations, Arithmetic progressions, Triangles, Coordinate geometry, Introduction to Trigonometry, Some application of trigonometry, Circles, Constructions, Areas related to circles, Surface areas and volumes, Statistics, Probability, Logical reasoning.