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# Unicus Global Science Olympiad Class 9 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

1. Angle sum property of a quadrilateral

### Circles

1. Theorems related to circles

## 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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