Unicus Global Mathematics Olympiad Class 9 Sample Paper (PDF)

Grade 9 mathematics introduces students to advanced concepts that form the foundation for higher secondary mathematical studies. Our Global Unicus Math Olympiad Sample Paper provides comprehensive coverage of challenging topics essential for academic and competitive success.

This maths olympiad sample paper class 9 include polynomial expressions and factorization, coordinate geometry fundamentals, linear equations in two variables, Euclid's geometry and proofs, statistics and probability, and advanced problem-solving techniques.

Our Question paper with answers for the Global Math Olympiad exam features solutions with simple approaches that help students develop mathematical maturity while preparing for competitive examinations.

Download Unicus Math Olympiad Sample Paper PDF For Class 9

Advanced Class 9 sample paper designed to challenge students with complex mathematical concepts and prepare them for national and global competitive examinations. Hence, grab your this free study resource for advanced competitive preparation.

How to Start Preparation with Class 9 Math Sample Paper?

Use this study resource in three simple steps for structured Olympiad preparation:

• Step 1: Download and organize materials for systematic topic-wise mastery
• Step 2: Practice challenging problems regularly to build analytical confidence
• Step 3: Study solution strategies carefully and develop problem-solving flexibility

Benefits of Unicus Math Olympiad Sample Paper for Class 9

This advanced sample paper provide exceptional advantages and some of them are listed below:

• Develops sophisticated algebraic manipulation and polynomial skills: Through comprehensive practice
• Strengthens coordinate geometry and graphical analysis abilities: With detailed problem-solving approaches
• Builds geometric proof-writing and logical reasoning capabilities:Enhances mathematical maturity
• Enhances statistical thinking and probability problem-solving: Prepares students for advanced competitive mathematics challenges

Start Preparation with UGMO Question Paper

This Unicus Math practice paper resource provide outstanding preparation for Class 9 students pursuing mathematical excellence. Regular practice develops advanced analytical thinking essential for competitive success. Consistent engagement with this sample paper ensures strong preparation for higher-level mathematical studies.

Syllabus:

1. Content Domain: Number System

Real Numbers

1. Rational numbers and their properties
2. Identities of rational numbers
3. Real numbers
4. Surds
5. HCF and LCM

2. Content Domain: Algebra

Polynomials

1. Polynomials in one variable
2. Zeroes of a polynomial
3. Factor and remainder theorem
4. Factorisation of polynomial
5. Algebraic identities
6. Division of polynomial by polynomial

Linear Equations in Two Variables

1. Formation and standard form of linear equation in two variables
2. Solving two simultaneous linear equations

3. Content Domain: Coordinate Geometry

Coordinate Geometry

1. Cartesian coordinate system
2. Distance formula, section formula, area of triangle, and midpoint formula
3. Collinearity of points

4. Content Domain: Geometry

Euclid's Geometry

1. Axioms and postulates

Lines and Angles

1. Angles formed by transversal: alternate interior angles, corresponding angles, etc.
2. Problems based on theorems of lines and angles

Triangles

1. Congruence of triangles
2. Problems based on theorems of triangles (mid-point theorem, converse of mid-point theorem)
3. Properties of triangles

Quadrilaterals

1. Angle sum property of a quadrilateral
2. Theorems based on quadrilateral

Circles

1. Theorems related to circles
2. Cyclic quadrilateral

5. Content Domain: Trigonometry

Trigonometry

1. Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals
2. Trigonometric ratios of standard angles: 0, 30, 45, 60, 90 degrees
3. Evaluation of an expression involving these ratios
4. Simple 2-D problems involving one right-angled triangle
5. Concept of trigonometric ratios of complementary angles and their direct application

6. Content Domain: Mensuration

Heron’s Formula

1. Problems based on the area of the triangle using Heron's formula

Surface Areas and Volumes

1. Area of the ring, area of sector
2. Surface area and volume of solid shapes: cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere

7. Content Domain: Statistics

Statistics

1. Types of data: primary data, secondary data
2. Statistical graphs: bar graph, histogram, frequency polygon, frequency curve
3. Measures of central tendencies for grouped and ungrouped data: mean, median, mode

Probability

1. Problems based on the formula of probability, theoretical probability

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