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Unicus Non-Routine Mathematics Olympiad Class 6 Syllabus

Class 6

Classic Section:


  • 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


  • 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


  • Length
  • Mass
  • Capacity
  • Volume
  • Speed, Time and Distance
  • Time and Distance

Scholar Section:

Higher Order Thinking Questions - Syllabus as per Classic Section