Online Advanced Maths Classes for Grade 6 Kids

Syllabus

Knowing our Numbers

Number System

• International system of numeration
• Face value and place value of a digit
• Greatest and smallest 6-digit numbers
• Successor and predecessor of numbers
• Whole numbers & their properties: closure, commutative, associative, distributive and additive identity
• Four operations with tricks: addition, subtraction, multiplication and division
• BODMAS
• Estimation of numbers

Playing with Numbers

• Factors and multiples
• Various types of numbers (even, odd, prime, even and odd prime numbers, twin-prime, composite, co-prime number)
• Prime factorisation (method to find the number of factors)
• HCF and LCM by prime factorisation and by the division method
• HCF and LCM of more than two numbers
• Relation between HCF and LCM
• Divisibility tests for 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11
• Special divisibility rules

Integers

• Introduction to integers: negative and positive integers
• The absolute value of an integer
• Comparing and ordering integers
• Representation of integers on the number line
• Operation on integers (addition, subtraction, multiplication and division)
• Properties of integers
• Quick recap

Fractions

• Definition of fractions
• Types of fractions, equivalent fractions
• The lowest form of fractions
• Like fractions and unlike fractions
• Comparing fractions
• Converting one type of fraction into another
• Operations on fractions: addition, subtraction, multiplication and division
• Rational numbers vs fractions
• Fractions of finite sequences and series

Decimals

• Place value chart of decimals
• Decimal fractions
• Decimal representation on a number line
• Conversion of fraction into decimal
• Conversion of decimal into fraction
• Like and unlike decimals
• Padding of decimals
• Addition and subtraction on decimals
• Rounding of decimals
• Multiplication of decimals with whole numbers
• Multiplication of decimals with decimals
• Division of decimals with whole numbers
• Division of a decimal by a decimal

Algebra

• Algebraic expressions and polynomials
• Types of algebraic expressions
• Factors and coefficient
• Solution of an equation
• Like and unlike terms
• Addition of algebraic expressions: horizontal and vertical method
• Subtraction of algebraic expressions
• Multiplication and division of algebraic expressions

Mathematical Reasoning

• Perfect squares and square roots
• Cubes
• Cyclicity of numbers
• Exponential growth
• Last digit of the numbers
• Sequence and series
• Arrangements
• Pigeonhole principle
• Cryptarithmetic
• Modular arithmetic
• Venn diagram
• Statement-based and scenario-based question
• Working backwards theory

Logical Reasoning

• Logic theory
• Pattern and series
• Rows arrangement
• Intelligence theory
• Puzzles and magic squares/ magic stars
• Folding of papers/cutting of papers
• Rotation of objects/arrangement of figures
• Missing and counting figures

Advanced Arithmetic

• Ratio and proportion
• Indirect or inverse proportion
• Unitary method
• Percentage
• Profit/loss
• Simple interest and compound interest (basic)
• Speed, time and distance
• Time and work
• Pipe and cistern
• Average

Basic Geometrical Ideas

Lines and angles

• Line, line segment and ray
• Parallel lines, perpendicular lines, intersecting and concurrent lines
• Curves
• Angles, types of angles
• Angles made by a transversal
• Perpendicular and angle bisector

Polygons

• Types of polygons
• Diagonal of a polygon
• Interior angle and exterior angle of a polygon
• Open and closed figures
• Important formulas

Triangles

• Triangles and their properties
• Classification of the triangle according to the sides
• Classification of triangle according to the angle
• Angle sum property of a triangle
• Median, centroid, altitude and orthocenter
• Interior and exterior of a triangle
• Interior and exterior angles of a triangle
• Exterior angle property

Quadrilaterals

• Types of quadrilaterals
• Angle sum property of a quadrilateral
• Convex and concave quadrilateral
• Rectangle and its properties
• Square and its properties
• Parallelogram and its properties
• Rhombus and its properties
• Trapezium and its properties
• Isosceles trapezium
• Kites

Circles

• Parts of circles: radius, diameter, chord, arc, secant, sector, segment, tangent of a circle
• Interior and exterior of the circle
• Semi-circle and concentric circles

3-D shapes

• Various types of 3d shapes
• 3d shapes – faces, edges and vertices
• Euler’s formula
• Views of solid shapes
• 3-d shapes nets

Line Symmetry and Rotational Symmetry

• Definition of symmetry
• Line of symmetry
• Reflexive symmetry
• Rotational symmetry and center of rotation
• Order of rotational symmetry
• Symmetry in letters
• Angle of rotational symmetry

Mensuration

Perimeter

• Perimeter of plane figures: triangles, quadrilaterals and circles
• Perimeter of different figures

Area

• Area of plane figures: triangles, quadrilaterals and circles
• Pythagoras’ theorem

Time and Directions

• Time conversions and clock
• Calendar
• Directions

Measurement

• Length and its conversions
• Weight and its conversions
• Capacity and its conversions

Data handling

• Introduction to data handling
• Terms related to statistics: mean, median, mode and range
• Pictograph and bar graph
• Introduction to line graph and pie chart

Probability

• Odds in favour
• Odds against

Online Advanced Maths Olympiad Classes for Grade 6 are designed to help young learners build strong mathematical foundations beyond the school curriculum. These classes prepare students for leading International Maths Olympiads such as SASMO, SEAMO, IPM, AMC and more.

At Olympiad Success Live, we ensure that the course for Grade 6 is structured in a way that enhances logical thinking, problem-solving skills and analytical ability in children. Our experienced tutors have been carefully selected to provide the right guidance for excelling in these prestigious Olympiads.

If you are interested in joining this program, please Enrol Now. You will be redirected to the batch details page, where you can find complete information including batch start date, demo classes, fee structure and the registration link for Advanced Maths Olympiad Classes for Grade 6.