Unicus Global Mathematics Olympiad Class 7 Sample Paper

Syllabus:

1. Content Domain: Number System

Integers

1. Integers and their properties
2. Problems based on addition, subtraction, multiplication, and division of integers

Rational Numbers

1. Rational numbers in standard form
2. Properties of rational numbers
3. Application of rational numbers

Fractions

1. Types of fractions (Simple fraction, decimal fraction, vulgar fraction, proper fraction, improper fraction, mixed fraction, like fraction, and unlike fraction)
2. Addition, subtraction, multiplication, and division of fractions
3. Simplification of fractions using BODMAS

Exponents and Powers

1. Laws of exponents
2. Usual and standard form

2. Content Domain: Algebra

Algebraic Expressions

1. Variables and constants
2. Terms
3. Factors and coefficients
4. Types of algebraic expressions
5. Identities of algebraic expressions
6. Operations on algebraic expressions

Simple Linear Equations

1. Solving linear equations in 1 variable
2. Formation and solving linear equations in 1 variable

3. Content Domain: Comparing Quantities

Ratio and Proportion

1. Ratio in its simplest form
2. Proportion
3. Difference between ratio and proportion
4. Unitary method

Profit, Loss, and Percentage

1. Profit and loss
2. Percentage

4. Content Domain: Geometry

Triangles

1. Properties of triangles, classification of triangles on the basis of sides and angles
2. Congruency of triangles

Symmetry

1. Linear symmetry
2. Rotational and reflectional symmetry

Visualising Solid Shapes

1. 3-Dimensional Shapes (cube, cuboid, cone, prism, pyramid)
2. Vertices, edges, faces of 3-Dimensional shapes, and Euler's formula

5. Content Domain: Mensuration

Mensuration

1. Perimeter and area of square, rectangle, triangle, circle, trapezium, rhombus, parallelogram
2. Volume and surface area of cuboid, cube

6. Content Domain: Data Handling

Data Handling

1. Mean, median, and mode of ungrouped data; Range
2. Graphs: bar graph, pie chart, line graphs, histogram
3. Probability