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# Unicus Global Mathematics Olympiad Class 5 Sample Papers

## 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
• 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
• 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 Global Mathematics Olympiad for Class 5: