Unicus Global Mathematics Olympiad Class 6 Sample Paper

Syllabus:

1. Content Domain: Number System

Knowing Our Numbers (Natural & Whole Numbers)

1. Natural numbers and whole numbers along with their properties
2. Divisibility rules
3. Prime number, composite number, co-prime numbers
4. Prime factorisation
5. Rounding off a number (ones, tens, hundreds, thousands, ten-thousands)
6. HCF, LCM

Fractions

1. Types of fractions (proper fraction, improper fraction, mixed fraction, like fraction and unlike fraction)
2. Equivalent fractions
3. Comparing fractions
4. Conversion from improper fraction to mixed fraction and vice versa
5. Complex fraction

Decimals

1. Decimal places
2. Comparison of decimals
3. Conversion of decimals to fractions and vice versa
4. Operation with decimals: addition, subtraction, multiplication, and division of decimals
5. Decimal on number line

2. Content Domain: Algebra

Algebraic Expressions

1. Variables and constants
2. Terms
3. Factors and coefficients
4. Algebraic expression and its types
5. Linear equation in 1 variable and its solution

3. Content Domain: Comparing Quantities

Comparing Quantities

1. Ratio in its simplest form
2. Proportion and problems based on it
3. Difference between ratio and proportion
4. Application of ratios
5. Percentage

4. Content Domain: Geometry

Understanding Elementary Shapes (2-D and 3-D shapes)

1. Polygon and its types
2. Classification of triangle based on sides and angles
3. Properties of angles and triangles
4. Types of angles (zero angle, acute angle, obtuse angle, right angle, straight angle, reflex angle, complete angle)
5. Supplementary and complementary angles, parallel lines, linear pair

Basic Geometrical Ideas

1. Properties of geometric shapes (e.g., angles, triangles, quadrilaterals, circles)

Symmetry

1. Linear symmetry
2. Rotational symmetry
3. Centre of rotation
4. Line symmetry

5. Content Domain: Mensuration

Area, Perimeter and Volume

1. Perimeter and area of square, rectangle, triangle, circle
2. Volume of cuboid, cube

6. Content Domain: Data Handling

Data Handling

1. Interpretation of given data
2. Mean, mode, and range of ungrouped data
3. Graphs: bar graph, pie chart