The class 10 maths Tenth Cbse Maths Syllabus Quant final examination is worth 80 marks. These 80 marks are further divided into chapters from seven major units. If you want to know what those chapters and units are, then go through the syllabus that is mentioned below. Chapter 1: Real Numbers 8 Periods. The decimal representation, in terms of terminating and non-terminating recurring decimals, of rational numbers. Chapter 2: Polynomials 4 Periods.
Polynomial zeros, the relation between zeros, and quadratic polynomial coefficients. Pair of linear equations in two variables and graphical method of their solution, consistency, and inconsistency, algebraic conditions for a number of solutions, solution of a pair of linear equations in two variables algebraically through substitution and by elimination, simple situational problems, and simple problems on equations reducible to linear equations. Chapter 4: Quadratic Equations 10 Periods.
Chapter 5: Arithmetic Progressions 4 Periods. Derivation of the nth term and sum of the first n terms of an arithmetic progression. Chapter 6: Lines in Two Dimensions 10 Periods. Review concepts of coordinate geometry, graphs of linear equations, distance formula, and section formula, which is also known as internal division. Chapter 7: Triangles 10 Periods. Definitions, examples, counterpoints of similar triangles, indicate when a line is drawn parallel to one side of a triangle in different points to intersect the other two sides, the other two sides are divided in the same ration, motivate if a line divides two sides of a triangle in the same ratio, the line is parallel to the third side, prove if in two triangles the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar and prove if the corresponding sides of two triangles are proportional, Their corresponding angles are identical and the two triangles are identical.
Prove if one angle of a triangle is equal to one angle of another triangle and the sides are proportional, including these angles, the two triangles are similar and the triangles on each side of the perpendicular are similar to the whole triangle and to each other and prove that in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Chapter 8: Circles 8 Periods. At the point of contact, the tangent to a circle proves that the tangent is perpendicular to the radius at every point of a circle at the point of contact.
Chapter 9: Constructions 4 Periods. Division of a line segment in a given ratio, internally, and the tangents to a circle from a point outside it. Chapter Introduction to Trigonometry 8 Periods. Trigonometric ratios of an acute angle of a right-angled triangle, proof of their existence, which should be well defined, values with proofs of the trigonometric ratios of 30 degrees, 45 degrees, and 60 degrees, and the relationships between the ratios.
Chapter Trigonometric Identities 10 Periods. Simple problems on heights and distances, problems should not involve more than two right triangles, and the angles of elevation and depression should be only 30 degrees, 45 degrees, and 60 degrees. Chapter Areas Related to Circles 10 Periods. Calculating the area of a circle, area of sectors and segments of a circle, problems based on areas and perimeters and circumference of the plane figures, problems should be restricted to the central angle of 60 degrees, and 90 degrees only, and the plane figures involving triangles, simple quadrilaterals, and circle should be taken.
Chapter Surface Areas and Volumes 8 Periods. Areas of the surface and volumes of combinations of any two of the following: cubes, spheres, cuboids, hemispheres, and right circular cylinders and cones, problems involving converting one type of metallic solid into another and other mixed problems, and problems with combinations of not more than two different solids should be taken.
Chapter Statistics 10 Periods. Mean, median, and mode of grouped data, including bimodal situation to be avoided. Chapter Probability 10 Periods. The conventional definition of probability and the simple problems of finding an event's probability.
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