01.2    

Types of sets & Equal sets

  01.3

Venn diagrams, Subset, Universal set and Complement of a set

  01.4

Operations on sets, Disjoint sets, Union of two sets, Number of elements in a set and Word problems based on sets

  01.0

Problem set - 1

  02.2    

Irrational and real numbers, Decimal form of irrational numbers, Number pi, Properties of order relation on Real numbers and Square root of a Negative number

  02.3

Root of positive rational numbers, Surds, Simplest form of a surd, Similar or like surds, Comparison of surds, Operations on like surds and Rationalization of surd

  02.4

Binomial quadratic surd and Rationalization of the denominator

  02.5

Absolute value

  02.0

Problem set - 2

  03.2    

Operations on polynomial

  03.3

Synthetic division

  03.4

Value of a polynomial

  03.5

Remainder Theorem, Factor Theorem

  03.0

Problem set 3

  04.2    

Comparison of ratios

  04.3

Operations on equal ratios and Application of properties of equal ratios

  04.4

Theorem on equal ratios

  04.5

Continued Proportion and k-method

  04.0

Problem set 4

  05.2    

Word problem based on simultaneous equations and Word Problems

  05.0

Problem set 5

  06.2    

Levying of taxes or Taxation, Income tax and Computation of income tax

  06.0

Problem set 6

  07.2    

Statics and Data collection

  07.3

(1) Inclusive method (Discrete classes) and (2) Exclusive method (Continuous classes)

  07.4

Less than Cumulative frequency less than the upper class limit and (2) Cumulative frequency more than or equal to the lower class limit

  07.5

Measures of central tendency

  07.0

Problem set 7

  01.3    

Conditional statements and converse and Proofs

  01.0

Practice set 1

  02.2    

Use of properties of parallel lines, Tests for parallel lines, Interior angles test, Alternate angles test and Corresponding angles Test

  02.0

Practice set 2

  03.2    

Congruence of triangles

  03.3

Isosceles triangle theorem, Converse of isosceles triangle theorem, Property of 30-60-90 triangle and Property of median drawn on the hypotenuse of right triangle

  03.4

Perpendicular bisector theorem, Angle bisector theorem and Properties of inequalities of sides and angles of a triangle

  03.5

Similar triangles and Similarity of triangles

  03.0

Problem set 3

  05.2    

Tests for parallelogram

  05.3

Properties of rectangle, rhombus and square

  05.4

Trapezium

  05.5

Theorem of midpoint of two sides of a triangle and Converse of midpoint theorem

  05.0

Problem set 5

  06.2    

Relation between congruent chords of a circle and their distances from the centre and Properties of congruent chords

  06.3

Incircle of a triangle, To construct the incircle of a triangle, Circumcircle and To draw the circumcircle of a triangle

  06.0

Problem set 6

  07.2    

Lines parallel to the X-axis, Lines parallel to the Y-axes, Graph of a linear equations and The graph of a linear equation in the general form

  07.0

Problem set 7

  08.2    

Relation among trigonometric ratios and Trigonometric ratios of 30 and 60 angles

  08.0

Problem set 8

  09.1    

Terms related to a cone and their relation

  09.2  

Surface area of a cone and Volume of a cone

  09.3    

Surface area of a sphere

  09.0

Problem set 9