Class 9 Maths - IIT foundation practice

  • Grade 9
    📐

    IIT Foundation

    Mathematics Practice

    Master advanced concepts and build your competitive edge!

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    📚 Grade 9 Mathematics Topics

    Number Systems & Real Numbers
    Polynomials
    Coordinate Geometry
    Linear Equations in Two Variables
    Euclid’s Geometry
    Triangles & Congruence
    Quadrilaterals
    Circles & Constructions
    Heron’s Formula & Surface Areas
    Statistics & Probability

    🌟 Why Grade 9 is Pivotal for IIT Foundation

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    Polynomials and coordinate geometry form the core of JEE calculus

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    Euclidean geometry builds logical reasoning for proofs

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    Critical transition year bridging middle school to advanced math

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    Empowering future IIT aspirants with AI-driven practice

    Prepared by a team of 5 expert teachers, who have more than 10 years of experience in IIT JEE coaching.
    The practice questions are selected based on previous exam pattern and sub-topic weightage.

    *Challenge level practice below has negative marking, much similar to actual JEE pattern.

    Practice Section

    Grade 9 Math – Concept Level Practice Click here

    Grade 9 Math – Challenge Level Practice Click here

     

     

    Notes Section

    1. Trigonometry
      1.1 Trigonometric ratios Notes
      1.2 Coterminal angles Notes
      1.3 Trigonometric identities Notes
      1.4 Compound angles Notes
      1.5 Multiple and Sub-multiple angles Notes
      1.6 Trigonometry transformation Notes
      1.7 Graphs and Periodicity Notes
      1.8 Trigonometric equations Notes
      1.9 Inverse Trigonometry Notes
      1.10 Trigonometric functions Notes
      1.11 Trigonometric properties of triangles Notes
    2. Surds
      2.1 Surds Notes
      2.2 Types of Surds Notes

      2.3 Laws of Radicals Notes

      2.4 Addition and subtraction of surds Notes

      2.5 Multiplication and division of surds Notes
    3. Logarithms
      3.1 Logarithms definition Notes
      3.2 Logarithmic functions Notes

      3.3 Types of logarithms Notes
      3.4 Laws of Logarithms Notes
      3.5 Logarithmic tables Notes
    4. Complex numbers
      4.1 Complex numbers Notes
      4.2 Operations on complex numbers Notes

      4.3 Conjugate of complex number Notes

      4.4 Cube roots of unity Notes

      4.5 Argument of complex number Notes
      4.6 nth roots of unity Notes
    5. Quadratic equations
      5.1 Factorization method Notes
      5.2 Solving by Quadratic formula Notes

      5.3 Roots and coefficients Notes
      5.4 Conditions for common roots Notes
      5.5 Solution of inequations Notes
    6. Theory of equations
      6.1 Transformation of equations Notes
      6.2 Roots in A.P, G.P & H.P Notes
    7. Coordinate geometry
      7.1 Coordinate plane

      7.2 Distance between two points

      7.3 Collinear points

      7.4 Harmonic conjugate

      7.5 Second order determinant

      7.6 Area of a triangle

      7.7 Area of quadrilaterals

      7.8 Transformation of Axes

      7.9 Inclination of a line

      7.10 Perpendicular form of a line

      7.11 Angle between two straight lines and collinear points

      7.12 Perpendicular distances

      7.13 Foot of the perpendicular

      7.14 Concurrency

      7.15 Theorems


    8. Pair of straight lines
      8.1 Basics Notes
      8.2 Pair of angle bisectors Notes

      8.3 Product of perpendiculars to the pair of lines Notes
    9. Probability
      9.1 Probability Notes
      9.2 Conditional probability Notes
      9.3 Addition theorem Notes
      9.4 Baye’s theorem Notes
    10. Circles
      10.1 Conic sections Notes
      10.2 Theorems Notes
      10.3 Concentric circles Notes

      10.4 Parametric equation Notes

      10.5 Chord joining two points Notes

      10.6 Tangent line Notes

      10.7 Pole and Polar Notes

      10.8 Inverse points Notes

      10.9 Circles Theorems Notes

     

     

    9th Math IIT foundation practice adds
    • Ability to solve complex and variety of math problems
    • Helps in securing top scores in board or other competitive exams
    • Ensures strong foundation over different concepts
    • Moves the student to advance level ( 1 year ahead)
    Practice helps in other competitions
    • Around 25 math concepts covered
    • Student can easily appear for Olympiad, NTSE or other competitive exams
    • Detailed result analysis help student to analyze strength and weakness in different concepts
    • Basic and advanced level math worksheets 
    Negative marking
    • Exams with negative marking is a different game altogether
    • Few tests contain negative marking
    • Student need to be extra cautious in guess work