Syllabus:
Classic Section:
Arithmetic
Number Sense
Whole Number
Operation on whole numbers (Properties of addition, subtraction, multiplication and division)
Factors and Multiples
Divisibility tests for 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11
HCF and LCM by Prime factorization and by Division method
HCF and LCM of more than two numbers
Integers
Introduction to integers
Negative and Positive integers
Representation of integers on the Number Line
Absolute value of integer
Operation on integers
Properties of integers (Addition, Subtraction, Multiplication and Division)
Fractions
Various types of fraction
Equivalent fractions
Like and Unlike fractions
Decimals
Decimal fractions
Decimal fractions with 10, 100 and 1000 as denominator
Like and Unlike decimals
Comparison of decimals
Converting a decimal into a fraction
Converting a fraction into a decimal
Operations on decimals
Addition of decimals
Subtraction of decimals
Geometry & Mensuration
Triangles
Triangle, Congruent triangles, Interior and Exterior of a triangle
Various types of triangles (On the basis of length and angles)
Angle sum property of a triangle
Quadrilaterals
Introduction of Quadrilateral (Adjacent and opposite sides, Adjacent and opposite angles)
Convex and Concave Quadrilaterals
Interior and Exterior of a Quadrilateral
Angle sum property of a Quadrilateral
Various types of Quadrilaterals with their properties (Square, Rectangle, Parallelogram, Trapezium, Rhombus)
Circles
Introduction of Circle (Radius, Diameter, Chord, Secant, Segments, Arc and Sector of a circle)
Circumference of circle
Semicircle
Concentric circles
Line segment, Ray and Line
Introduction of Plane, Point, Line Segment, Ray and Line
Intersecting lines, Concurrent lines, Parallel lines and Perpendicular lines
Distinction between a line segment, a ray and a line
Polygons
Straight line, Curve, Open, Closed and Simple Closed figures
Sides, Vertices and Diagonals of a polygon
Various types of polygon
Three-dimensional shape
Solid
Definition of Cube, Cuboid, Cylinder, Sphere, Cone with their properties
Prism and Pyramid
Definition of prism and pyramid
Triangular prism
Triangular pyramid
Statistics & Data Handling
Data
Raw data, Array, Observations and Statistics
Tabulation of data
Frequency of an observation
Bar Graph
Reading and Interpretation of a bar graph
Ratio and Proportion
Unitary Method
Word problem on unitary method
Proportion
Word problems on proportion
Three terms in proportion
Word problems on property- product of extremes = product of means
Ratio
Ratio of numbers
Equivalent ratios
Ratio in simplest form
Ratio of two quantities
Comparison of ratios
Algebra
Various types of algebraic expression
Monomials, Binomials, Trinomials, Quadrinomials and Polynomials
Factors and Coefficients
Constant term
Like and unlike terms
Operations on algebraic expression (Addition and Subtraction)
Algebraic Expression
Definition of literals
Operation on literals and numbers (Addition, Subtraction, Multiplication and Division)
Powers of a literal
Variable and constant
Linear Equations
Definition of equation and linear equation
Problems on application of equations
Measurement
Length
Mass
Capacity
Volume
Speed, Time and Distance
Time and Distance
Scholar Section:
Higher Order Thinking Questions - Syllabus as per Classic Section
Sample Papers of Unicus Non-Routine Mathematics Olympiad for Class 6:
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