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# Unicus Global Mathematics Olympiad Class 10 Syllabus

### Classic Section

 Content Domain Main chapters Sub Topics Number system Real Numbers Rational Numbers, Irrational Numbers and their properties HCF, LCM and their properties Units digit Surds- Types of surds Laws of surds Order of a surd Comparison of monomial surds Addition and subtraction of surds Multiplication and division of surds Relationship between HCF and LCM logarithms Natural logarithms, common logarithms Properties of logarithms and problems based on it Algebra Polynomials Division of polynomial Degree of a polynomial Factorisation of polynomial Relationship between zeroes and coefficients of a polynomial Remainder and factor theorem Pair of Linear Equations in Two Variables Standard form of liner equation in 2 variables Different methods to solve equations- graphical method and algebraic method Linear Inequations Solving linear inequation in 1 variable Word problems based on forming and solving linear inequations Quadratic Equations Discriminant of a quadratic equation Finding the roots by factorisation and quadratic formula Word problems based on the formation and solving of quadratic equation Arithmetic Progressions Sequence and series Arithmetic Progression - nth term of AP, sum of n terms Arithmetic mean Word problems on AP Geometric Progressions Geometric Progression- nth term of GP, sum of n terms Word problems on GP Geometry Triangles Criteria for similarity of triangles Areas of similar triangles Basic proportionality theorem Circles Chord and its properties, theorems based on chords Cyclic quadrilateral Secant Tangents and related theorem Alternate segment and its angles Coordinate Geometry Coordinate Geometry Area of a triangle Distance formula Section formula Points of trisection Centroid Straight lines - inclination of a line, slope or gradient of a line, intercepts of a straight line, equation of a line in general form, different forms of equations - slope form, point-slope form, two-point form, intercept form, equation of a line parallel or perpendicular to the given line Trigonometry Introduction to Trigonometry Trigonometric ratios Trigonometric ratios of some specific angles (0, 30, 45, 60, etc.) Trigonometric identities Signs of trigonometric ratios Trigonometric tables Trigonometric formulas Some Applications of Trigonometry Angle of elevation, depression and problems based on them Mensuration Areas Related to Circles Area of circle, sector and segment Circumference of circle, sector, length of an arc Surface Areas and Volumes CSA (curved surface area)/LSA and TSA (total surface area) of cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere and frustum Volume of solid - cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere Area and volume of combination figures Statistics Statistics Types of data - primary data, secondary data Statistical Graphs- Bar graph, histogram, frequency polygon, frequency curve Measures of central tendencies for grouped and ungrouped data- mean, median, mode Empirical relationship among mean, median, and mode Probability Basic terminologies of probability Theoretical vs experimental probability Problems based on finding probability

### Scholar Section

Higher Order Thinking Questions - Syllabus as per Classic Section

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