Gujarat Secondary and Higher Secondary Education Board
Gujarat Secondary and Higher Secondary Education Board
Education Department - Government of Gujarat
Swarnim Gujarat
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ગુજરાતી
Standard 8 Maths
Number Sets
(1) Set oerations
  • Universal set
  • roerties of Union
  • roerties of intersection
  • Distributive roerty
  • roerties of comlementation
(2) Cartesian roduct
  • Cartesian roduct of two sets
  • Equality of ordered airs
  • Grah in the lane
  • Cartesian coordinate system
  • One to one corresondence between the lane and R x R
  • Quadrant
  • Grah of Cartesian roduct Arithmetic
(3) ercent
  • Discount and commission
  • Successive discount
  • Cost of living index
  • Sales tax
(4) Banking
  • Different tyes of bank accounts
  • Cheque and its tyes
  • Calculation of interest from assbook of savings account assbook
  • Calculation of interest on fixed deosit
  • Algebra
(5) Factorization
  • Revision of factorization of Std. Vill( maximum degree -3)
  • Ax2 + bx + c (a ¹ O)and factors by slitting the middle term in a,bc.
  • (x+y)(x2+xy+y2) - Exansion
  • factors of x3+y3
  • factors of x3+y3+z3 - 3xyz
  • if x+y+z = 0 then x3+y3+z3= 3xyz
  • factorization with the hel of remainder theorem
(6) roerties of ratio and roortion
  • laws of ratios (laws - alternendo , invertendo , comonendo,dividendo,
  • equality of ratios comonendo & dividendo)
(7) Variation
  • Direct variation
  • Inverse variation
  • Comound variation
  • artial variation
(8) Linear equations of two variables
  • Exlanation of two variable linear equation
  • Solution of a linear equation of two variables
  • Method of elimination
  • Grahical method Geometry
(9) Triangle and conditions of congruence
  • Triangle and its elements
  • Interior of triangle
  • Corresondence
  • Congruence of triangles
  • SAS ostulate
  • Theorem:- If two angles and included side of one triangle are congruent to the corresonding elements of the other triangle then those two triangles are congruent (ASA) (with roof)
  • Theorem:- If two sides of a triangle are congruent then their oosite angles are congruent. (with roof)
  • Theorem:- If two angles of a triangle are congruent then their oosite sides are congruent. (without roof)
  • Corollary:- Every equilateral triangle is equiangular
  • Corollary:- Every equiangular triangle is equilateral.
  • Theorem (SSS):- If three sides of one triangle are congruent to the corresonding three sides of the other triangle then triangles are congruent. (without roof)
  • Theorem (RHS):- Given a corresondence between two right triangles, if the hyotenuse and leg (side) of one triangle are congruent with the corresonding elements of the other trangle, then corresondence is congruence.
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