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 5:
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