Mathematics Training 2020 - Foundation of Mathematics objective and syllabus.

Foundation of Mathematics course is designed to impart deeper understanding of High School Mathematics and introducing the subjects for Mathematics Olympiad. Hence the topics in the syllabus are indicative, in the sense the discussions do not restrict to the 8th standard school, Ganit Prabhutwa syllabus. The training is conducted in a manner that logical thinking of students is developed which will be useful in their future studies.

Topics:

  • Arithmetic
    • Divisibility
    • Square and Square root.
    • Ratio and Proportion And Variation.
    • Percentage
    • Simple and compound interest.
    • Time and work; speed and distance.
    • Average.
  • Algebra
    • Indices
    • Identities and Factors
    • Linear Equations
    • Algebraic Equations.
  • Geometry
    • Angles
    • Triangles, Pythagoras Theorem
    • Congruence of Traingles
    • Geometric Constructions
    • Perimeter and Area
    • Polygons
    • Circles
    • Similar Triangles.
  • Introduction to Number Theory and Combinatorics
  • NUMBER THEORY : Divisibility,Primes, Prime Factorisation, Euclid’s Algorithm
  • Basic congruence properties.
  • COMBINATORICS
  • Addition and Multiplication Principle. Permutations, Combinations.
  • LCM and HCF or GCD properties, problems.