Class 9th NCERT -CBSE
Class 9 all subjects NCERT Books, Solutions, Question Papers, Exemplar, with answers in PDF format are available to download free. NCERT Solutions in PDF format is available with complete description and explanation for class IX. These solutions are strictly confined with Latest CBSE Syllabus for current academic year.
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Chapter 1:Number Systems
In this chapter, you will learn the extended version of the number line and how to represent various types of number of it. This chapter contains the representation of terminating/non-terminating recurring decimals on the number line (and successive magnification method). With the knowledge of rational numbers, you will also learn about the presentation of square roots of 2, 3 and other non-rational numbers. Laws of integral powers and rational exponents with positive real bases in Number Systems and Rationalization of real numbers.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="pYU8_fDXpN8&rel=0" width="640" height="520" start="10" anchor="Natural, whole numbers & integers"] 2- [video_lightbox_youtube video_id="TFZZbXMNFTU&rel=0" width="640" height="520" start="10" anchor="Rational & irrational numbers"] 3- [video_lightbox_youtube video_id="QwDqAiZvbsM&rel=0" width="640" height="520" start="10" anchor="Real Numbers"] 4- [video_lightbox_youtube video_id="sDA5gtA7Mc4&rel=0" width="640" height="520" start="10" anchor="Locate real number on number line"] 5- [video_lightbox_youtube video_id="-wRdzcCfSgo&rel=0" width="640" height="520" start="10" anchor=" Decimal expressions of real number"] 6- [video_lightbox_youtube video_id="BG6cNXetEUQ&rel=0" width="640" height="520" start="10" anchor="Decimal expressions: Numerical"] 7- [video_lightbox_youtube video_id="GhGExwigM_I&rel=0" width="640" height="520" start="10" anchor=" Decimal expressions pie"] 8- [video_lightbox_youtube video_id="mlicqDVX5Nk&rel=0" width="640" height="520" start="10" anchor="Decimal expressions: Numerical"] 9- [video_lightbox_youtube video_id="GHG21DS3xRM&rel=0" width="640" height="520" start="10" anchor="Real number on number line: Numerical"] 10- [video_lightbox_youtube video_id="_ArKu0sRTPg&rel=0" width="640" height="520" start="10" anchor="Operations on real number "] 11- [video_lightbox_youtube video_id="1HWxyoIl1Y8&rel=0" width="640" height="520" start="10" anchor="Locate Root x on number line"] 12- [video_lightbox_youtube video_id="Hm22hSJSLT8&rel=0" width="640" height="520" start="10" anchor="Radical sign & operation on real number"] 13- [video_lightbox_youtube video_id="-W1vTiRBhEc&rel=0" width="640" height="520" start="10" anchor="Radical Sign numerical"] 14- [video_lightbox_youtube video_id="qIpTQbvIJ1Y&rel=0" width="640" height="520" start="10" anchor="Law of exponent for real number"]
- Notes : Online , PDF
Chapter 2: Polynomials
This chapter explains the algebraic expression called polynomial and the terminologies related to it. You will learn definition of a polynomial, degrees, coefficient, zeroes and terms of a polynomial. Types of Polynomials - Linear, Constant, quadratic and cubic polynomials, monomials, binomials, trinomials. Factors and multiples, Remainder and factor theorems, factorization of a polynomials using factor theorem.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="i1SNTptlzNc&rel=0" width="640" height="520" start="10" anchor="Introduction"] 2- [video_lightbox_youtube video_id="i6pbkkNZBKQ&rel=0" width="640" height="520" start="10" anchor="One, Two variable Polynomials"] 3- [video_lightbox_youtube video_id="hnFNfHnkuHA&rel=0" width="640" height="520" start="10" anchor="Terms & Coefficient"] 4- [video_lightbox_youtube video_id="D7gVSgGJQ-o&rel=0" width="640" height="520" start="10" anchor="Algebraic Expressions"] 5- [video_lightbox_youtube video_id="VfRs0o8GNLE&rel=0" width="640" height="520" start="10" anchor="Number of terms & degree"] 6- [video_lightbox_youtube video_id="jCHgIb6pYeA&rel=0" width="640" height="520" start="10" anchor="Degree of Zero polynomial"] 7- [video_lightbox_youtube video_id="ku__Yjxm0vE&rel=0" width="640" height="520" start="10" anchor="Zeroes of polynomial"] 8- [video_lightbox_youtube video_id="W6RqYnpy-fk&rel=0" width="640" height="520" start="10" anchor="Zeroes of linear polynomial"] 9- [video_lightbox_youtube video_id="UOATZ8PPFSI&rel=0" width="640" height="520" start="10" anchor="Remainder theorem"] 10- [video_lightbox_youtube video_id="rQuncBhyPBg&rel=0" width="640" height="520" start="10" anchor="Remainder theorem proof"] 11- [video_lightbox_youtube video_id="VT_-8kLdMQM&rel=0" width="640" height="520" start="10" anchor="Factorization of polynomial"] 12- [video_lightbox_youtube video_id="zODiWZT-GHE&rel=0" width="640" height="520" start="10" anchor="Factorization using factor theorem"] 13- [video_lightbox_youtube video_id="DivpOhTwJFU&rel=0" width="640" height="520" start="10" anchor="Factorization numerical "] 14- [video_lightbox_youtube video_id="W358pHDUsZo&rel=0" width="640" height="520" start="10" anchor="Algebraic identities :Trinomial"] 15- [video_lightbox_youtube video_id="Ro1JMHiniD4&rel=0" width="640" height="520" start="10" anchor="Algebraic identities :3 degree polynomial"] 16- [video_lightbox_youtube video_id="_AAhGIQwsls&rel=0" width="640" height="520" start="10" anchor="(Algebraic identities :numerical"]
- Notes : Online , PDF
Chapter 3: Coordinate Geometry
In this chapter you will learn the concept of cartesian plane, coordinates of a point in this xy – plane, name, terms, notations and other terms associated with the coordinate plane. Abscissa and ordinate of a points. You will learn to Plot a point in xy – plane and the process of naming it.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="LuCQAnWQO6A&rel=0" width="640" height="520" start="10" anchor="Introduction"] 2- [video_lightbox_youtube video_id="_p7ZB2y7gg8&rel=0" width="640" height="520" start="10" anchor="History"] 3- [video_lightbox_youtube video_id="j84ieUw_DCs&rel=0" width="640" height="520" start="10" anchor="X, Y axis, Quadrants"] 4- [video_lightbox_youtube video_id="0M6yh8VtNIo&rel=0" width="640" height="520" start="10" anchor="Abscissa & Ordinates"] 5- [video_lightbox_youtube video_id="ddmi38z-3XI&rel=0" width="640" height="520" start="10" anchor="Find coordinates for plotted points"] 6- [video_lightbox_youtube video_id="OwYhZc6l390&rel=0" width="640" height="520" start="10" anchor="Plot points for given coordinates"]
- Notes : Online , PDF
Chapter 4: Linear Equations in Two Variables
In this chapter you will learn the introduction to the equation in two variables of the type ax + by + c = 0. Proving a linear equation has infinite number of solutions, plotting a linear equation on graph and justification of any point on line.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="CqJkA3_MG4g&rel=0" width="640" height="520" start="10" anchor="One variable"] 2- [video_lightbox_youtube video_id="wbwLQHuk2Aw&rel=0" width="640" height="520" start="10" anchor="2 variable"] 3- [video_lightbox_youtube video_id="8BZwzN53AW0&rel=0" width="640" height="520" start="10" anchor="General Form"] 4- [video_lightbox_youtube video_id="MzRejNYqpOs&rel=0" width="640" height="520" start="10" anchor="Solutions"] 5- [video_lightbox_youtube video_id="bw9IdvdhHzM&rel=0" width="640" height="520" start="10" anchor="Graphical representation"] 6- [video_lightbox_youtube video_id="Ws5QqFx_JaI&rel=0" width="640" height="520" start="10" anchor="Numerical"] 7- [video_lightbox_youtube video_id="-LGl2qqEkWk&rel=0" width="640" height="520" start="10" anchor="Numerical"] 8- [video_lightbox_youtube video_id="rK7hr8njVfo&rel=0" width="640" height="520" start="10" anchor="Equation of lines parallel to x & y axis"]
- Notes : Online , PDF
Chapter 5: Introduction to Euclid’s Geometry
Euclid’s geometry chapter has some introduction of it as a part of history of Indian geometry. Introduction to Euclid’s Geometry provides you a with a way of defining the common geometrical shapes and terms. you will learn relationship between axiom, postulates and theorems.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="CH7cFDTLziA&rel=0" width="640" height="520" start="10" anchor="Introduction"] 2- [video_lightbox_youtube video_id="1IJ_gUlbL_s&rel=0" width="640" height="520" start="10" anchor="Elements by Euclid"] 3- [video_lightbox_youtube video_id="3XML1sPPYVY&rel=0" width="640" height="520" start="10" anchor="Terms"] 4- [video_lightbox_youtube video_id="ftOrEmuTBO4&rel=0" width="640" height="520" start="10" anchor="Definition"] 5- [video_lightbox_youtube video_id="39VZELO3b44&rel=0" width="640" height="520" start="10" anchor="Axioms & Postulates"] 6- [video_lightbox_youtube video_id="jI26Rlc-nz4&rel=0" width="640" height="520" start="10" anchor="Theorems"] 7- [video_lightbox_youtube video_id="STruloYj20E&rel=0" width="640" height="520" start="10" anchor="Numerical"] 8- [video_lightbox_youtube video_id="pkhtE36A6YM&rel=0" width="640" height="520" start="10" anchor=" 5th Postulate Equivalent version"] 9- [video_lightbox_youtube video_id="DB6TUXa8Xw8&rel=0" width="640" height="520" start="10" anchor="Numerical"]
- Notes : Online , PDF
Chapter 6: Lines and Angles
In this chapter you will learn theorems in Lines and Angles chapter and Proof.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="JXT7QdT4gcU&rel=0" width="640" height="520" start="10" anchor=" Introduction"] 2- [video_lightbox_youtube video_id="Ns2kSxwB5ZU&rel=0" width="640" height="520" start="10" anchor="Types & Pair of Angles"] 3- [video_lightbox_youtube video_id="RAzyv78GOWE&rel=0" width="640" height="520" start="10" anchor="-Intersecting, Non intersecting lines"] 4- [video_lightbox_youtube video_id="KdrThltNNcM&rel=0" width="640" height="520" start="10" anchor="Linear Pair of angles"] 5- [video_lightbox_youtube video_id="nat7rVaP7A4&rel=0" width="640" height="520" start="10" anchor="Vertically Opposite Angles"] 6- [video_lightbox_youtube video_id="-J7NU--P-1c&rel=0" width="640" height="520" start="10" anchor="Numerical"] 7- [video_lightbox_youtube video_id="28Qb_d68x40&rel=0" width="640" height="520" start="10" anchor="Numerical"] 8- [video_lightbox_youtube video_id="-if_bk80Vf4&rel=0" width="640" height="520" start="10" anchor="Parallel lines & Transversal"] 9- [video_lightbox_youtube video_id="tqtpNVq7TLc&rel=0" width="640" height="520" start="10" anchor="Corresponding Angles"] 10- [video_lightbox_youtube video_id="MsrNdj1LNAw&rel=0" width="640" height="520" start="10" anchor="Interior Alternate & co-interior Angles"] 11- [video_lightbox_youtube video_id="20qTa0IIFgI&rel=0" width="640" height="520" start="10" anchor="Lines parallel to same lines"] 12- [video_lightbox_youtube video_id="nz0P0a1LqqM&rel=0" width="640" height="520" start="10" anchor="Numerical"] 13- [video_lightbox_youtube video_id="Y2jPlAp9Xbo&rel=0" width="640" height="520" start="10" anchor="Numerical"] 14- [video_lightbox_youtube video_id="G4qjAgUWWIY&rel=0" width="640" height="520" start="10" anchor="Angle sum property of Triangle"] 15- [video_lightbox_youtube video_id="GkFGfn3V-ns&rel=0" width="640" height="520" start="10" anchor="Numerical"]
- Notes : Online , PDF
Chapter 7: Triangles
In this chapter you will study the congruence of triangles in details along with rules of congruence. theorems given for proof , form of applications/problems, properties of triangles and inequalities in a triangle.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="XSgRTRips_Y&rel=0" width="640" height="520" start="10" anchor=" Introduction"] 2- [video_lightbox_youtube video_id="iuYkUvJGXLA&rel=0" width="640" height="520" start="10" anchor="Criteria for Congruency"] 3- [video_lightbox_youtube video_id="Gk_2nJBlaco&rel=0" width="640" height="520" start="10" anchor="SAS congruency : Side angle side"] 4- [video_lightbox_youtube video_id="75Y1oZAi8iw&rel=0" width="640" height="520" start="10" anchor="ASA congruency : Angle side angle"] 5- [video_lightbox_youtube video_id="0YPdT-7RyxI&rel=0" width="640" height="520" start="10" anchor="AAS congruency : angle angle side"] 6- [video_lightbox_youtube video_id="NZan57hdAuk&rel=0" width="640" height="520" start="10" anchor="Congruency Numerical"] 7- [video_lightbox_youtube video_id="qpBz1-H36Ts&rel=0" width="640" height="520" start="10" anchor="Congruency Numerical"] 8- [video_lightbox_youtube video_id="zsBETyasgHg&rel=0" width="640" height="520" start="10" anchor=" Properties of Triangle"] 9- [video_lightbox_youtube video_id="F7Eqv6iDEjE&rel=0" width="640" height="520" start="10" anchor="Properties of Triangle: Numerical"] 10- [video_lightbox_youtube video_id="oM8t5J9oPoQ&rel=0" width="640" height="520" start="10" anchor="Properties of Triangle: Numerical"] 11- [video_lightbox_youtube video_id="wk-zHDtbXQc&rel=0" width="640" height="520" start="10" anchor="SSS, RHS congruency : Right hypotenuse side"] 12- [video_lightbox_youtube video_id="DI_uJNQ3c6o&rel=0" width="640" height="520" start="10" anchor="SSS, RHS congruency : Numerical"] 13- [video_lightbox_youtube video_id="vrQRNKsDEAI&rel=0" width="640" height="520" start="10" anchor="Inequalities"] 14- [video_lightbox_youtube video_id="mX8arL2qpJ4&rel=0" width="640" height="520" start="10" anchor="Inequalities"] 15- [video_lightbox_youtube video_id="kwYwZa20tkw&rel=0" width="640" height="520" start="10" anchor="Inequalities"]
- Notes : Online , PDF
Chapter 8: Quadrilaterals
In this chapter you will learn only one theorem for proof. Others are in the form of application and conceptual questions. Questions in quadrilaterals are on the basis of properties of quadrilaterals and combinations of it with triangles.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="CXNlUvoEllM&rel=0" width="640" height="520" start="10" anchor="Introduction, Angle sum property"] 2- [video_lightbox_youtube video_id="xRy5LM3X7nc&rel=0" width="640" height="520" start="10" anchor=" Types"] 3- [video_lightbox_youtube video_id="BM1bkQmqipI&rel=0" width="640" height="520" start="10" anchor="Diagonal divides parallelogram"] 4- [video_lightbox_youtube video_id="-zHmSVESUPI&rel=0" width="640" height="520" start="10" anchor="Opposite side are equal in parallelogram"] 5- [video_lightbox_youtube video_id="84_MSTA9g6U&rel=0" width="640" height="520" start="10" anchor="Opposite angles are equal in parallelogram"] 6- [video_lightbox_youtube video_id="6FG7vS_ufvY&rel=0" width="640" height="520" start="10" anchor="Diagonal of parallelogram bisect"] 7- [video_lightbox_youtube video_id="VKTedtCLcmQ&rel=0" width="640" height="520" start="10" anchor="Diagonal of rhombus are perpendicular"] 8- [video_lightbox_youtube video_id="FstJ9LHrGwE&rel=0" width="640" height="520" start="10" anchor="Parallelogram Numerical"] 9- [video_lightbox_youtube video_id="SHLngiEDpsM&rel=0" width="640" height="520" start="10" anchor="Parallelogram property"] 10- [video_lightbox_youtube video_id="m3Tr4Ufxcr0&rel=0" width="640" height="520" start="10" anchor="Parallelogram: Numerical"] 11- [video_lightbox_youtube video_id="IXNB2REITKw&rel=0" width="640" height="520" start="10" anchor="Parallelogram: Numerical"] 12- [video_lightbox_youtube video_id="I5z_EmVaMqA&rel=0" width="640" height="520" start="10" anchor="Parallelogram: Numerical"] 13- [video_lightbox_youtube video_id="YyvUbap5hBE&rel=0" width="640" height="520" start="10" anchor="Mid point theorem"] 14- [video_lightbox_youtube video_id="6ALIeejb3oY&rel=0" width="640" height="520" start="10" anchor="Mid point theorem: Numerical"] 15- [video_lightbox_youtube video_id="b40P_fKcka8&rel=0" width="640" height="520" start="10" anchor="Mid point theorem: Numerical"]
- Notes : Online , PDF
Chapter 9: Areas of Parallelograms and Triangles
This chapter explains the meaning of area right from the introduction part. Areas of parallelograms and triangles and their combinations, proof. Example of median used as theorem..
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="-2_Hjo5gfDY&rel=0" width="640" height="520" start="10" anchor="Introduction"] 2- [video_lightbox_youtube video_id="dVS_VRhNuKU&rel=0" width="640" height="520" start="10" anchor="Figures on same base"] 3- [video_lightbox_youtube video_id="N3hwelyx1qQ&rel=0" width="640" height="520" start="10" anchor=" Paralleograms on same base"] 4- [video_lightbox_youtube video_id="CalBd3SskyU&rel=0" width="640" height="520" start="10" anchor="Area converse theorem"] 5- [video_lightbox_youtube video_id="O_k0VIavCYk&rel=0" width="640" height="520" start="10" anchor="Numerical"] 6- [video_lightbox_youtube video_id="IAaV19eRd7I&rel=0" width="640" height="520" start="10" anchor="Traingles on same base"] 7- [video_lightbox_youtube video_id="l_Yzx6z12BI&rel=0" width="640" height="520" start="10" anchor="Numerical"] 8- [video_lightbox_youtube video_id="zFlC95LH400&rel=0" width="640" height="520" start="10" anchor="Numerical"] 9- [video_lightbox_youtube video_id="lAGFxgNMcpU&rel=0" width="640" height="520" start="10" anchor="Numerical"] 10- [video_lightbox_youtube video_id="PZSRgJSpdhg&rel=0" width="640" height="520" start="10" anchor="Numerical"]
- Notes : Online , PDF
Chapter 10: Circles
In this chapter, you will learn topics like Angle Subtended by a Chord at a Point, Equal Chords and their respective distances from the Centre, Angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals. The other important theorems prove to be helpful for solving questions based on triangle, quadrilateral and circles.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="QJoHC60Hcgs&rel=0" width="640" height="520" start="10" anchor="Introduction, Circle dividing plance"] 2- [video_lightbox_youtube video_id="arW0RbaBnLE&rel=0" width="640" height="520" start="10" anchor="Minor & major arc, sector & segment"] 3- [video_lightbox_youtube video_id="pYvaf5h3fSo&rel=0" width="640" height="520" start="10" anchor="Angle subtended by chord"] 4- [video_lightbox_youtube video_id="xL7OPb9uIOc&rel=0" width="640" height="520" start="10" anchor="Perpendicular from center to chord"] 5- [video_lightbox_youtube video_id="IKiYV_A-Jtg&rel=0" width="640" height="520" start="10" anchor="Circle through 3 points"] 6- [video_lightbox_youtube video_id="euGC01eSKqM&rel=0" width="640" height="520" start="10" anchor="Equal chord & their distance from center"] 7- [video_lightbox_youtube video_id="axpuujYtjxo&rel=0" width="640" height="520" start="10" anchor="Numerical : chord length"] 8- [video_lightbox_youtube video_id="OYpjf-C045U&rel=0" width="640" height="520" start="10" anchor="Numerical : chord length"] 9- [video_lightbox_youtube video_id="aQk__mk7YiU&rel=0" width="640" height="520" start="10" anchor="Angle subtended by arc"] 10- [video_lightbox_youtube video_id="3uCjYJO1sZU&rel=0" width="640" height="520" start="10" anchor="Cyclic Quadrilateral"] 11- [video_lightbox_youtube video_id="ghaoQHhOAkM&rel=0" width="640" height="520" start="10" anchor="Numerical : Cyclic Quadrilateral"] 12- [video_lightbox_youtube video_id="LDTX2W4yuJo&rel=0" width="640" height="520" start="10" anchor="Numerical : Cyclic Quadrilateral"]
- Notes : Online , PDF
Chapter 11: Constructions
You will learn two categories of constructions. One is Construction of bisectors of the line segments and angles of measure including 60, 90, 45 etc. The other category which you will be learning is construction of a triangle with its base, sum/difference of the other two sides and one base angle given perimeter and base angles given
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="imdmXU7N0MY&rel=0" width="640" height="520" start="10" anchor="Angle & perpendicular bisector, Angles"] 2- [video_lightbox_youtube video_id="vZabbK81t8A&rel=0" width="640" height="520" start="10" anchor="Triangle with base, a base angle"] 3- [video_lightbox_youtube video_id="cW7O6PF81ww&rel=0" width="640" height="520" start="10" anchor="Triangle perimeter, & Two base angles"]
- Notes : Online , PDF
Chapter 12: Heron’s Formula
This chapter you will be learn the extension of concepts related to area of triangle. You will learn about use of Heron’s formula to find the area of quadrilaterals, triangles, (dividing it into two triangles) and other types of polygons. Knowledge of formulae of plane figures.
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5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="pFgZ2ZyLVpw&rel=0" width="640" height="520" start="10" anchor=" Introduction"] 2- [video_lightbox_youtube video_id="og3Y7hif3aA&rel=0" width="640" height="520" start="10" anchor="Area of Triangle"] 3- [video_lightbox_youtube video_id="Te3G2miTgHQ&rel=0" width="640" height="520" start="10" anchor="Area of Triangle: Numerical"] 4- [video_lightbox_youtube video_id="ZS4bc_7YtCw&rel=0" width="640" height="520" start="10" anchor="Area of Triangle: Numerical"] 5- [video_lightbox_youtube video_id="1g0oFke0efA&rel=0" width="640" height="520" start="10" anchor="Application: Find area of quadrilateral"] 6- [video_lightbox_youtube video_id="ZRQZXhZ3PYE&rel=0" width="640" height="520" start="10" anchor="Application: Numerical"] 7- [video_lightbox_youtube video_id="nCotf2LbWzY&rel=0" width="640" height="520" start="10" anchor="Application: Numerical"] 8- [video_lightbox_youtube video_id="ufbkhbyGeDc&rel=0" width="640" height="520" start="10" anchor="Application: Numerical"]
- Notes : Online , PDF
Chapter 13: Surface Areas and Volumes
This chapter have problems based on surface areas and volumes of cube, cuboids, cylinders, cones, spheres and hemispheres. Conversion of one of the figures into the another, comparing volumes is also given as an application of mensuration.
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4) Test :
5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="9tOYjFniYxo&rel=0" width="640" height="520" start="10" anchor=" Introduction"] 2- [video_lightbox_youtube video_id="Igm7fV2JJj8&rel=0" width="640" height="520" start="10" anchor="Surface Area of Cube & Cuboid"] 3- [video_lightbox_youtube video_id="W4ptm1DlN2Q&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area cuboid"] 4- [video_lightbox_youtube video_id="4L0SFfZUbAU&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area cuboid"] 5- [video_lightbox_youtube video_id="KdfTA5T_aP0&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area cuboid"] 6- [video_lightbox_youtube video_id="4qcTZRjTHMI&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area cuboid"] 7- [video_lightbox_youtube video_id="VaNEhgeMLXA&rel=0" width="640" height="520" start="10" anchor="Surface Area Cylinder"] 8- [video_lightbox_youtube video_id="Sse5GwHSsHs&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area Cylinder"] 9- [video_lightbox_youtube video_id="Y2a_NW-Ce04&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area Cylinder"] 10- [video_lightbox_youtube video_id="JunKYJXG3tg&rel=0" width="640" height="520" start="10" anchor="Surface Area Right Circular Cone"] 11- [video_lightbox_youtube video_id="-gMw0WySQpA&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area Cone"] 12- [video_lightbox_youtube video_id="BtIDKYwJBps&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area Cone"] 13- [video_lightbox_youtube video_id="tCvjX-PSFj0&rel=0" width="640" height="520" start="10" anchor="Surface Area : Sphere, Hemisphere"] 14- [video_lightbox_youtube video_id="rXRDgtY3A0c&rel=0" width="640" height="520" start="10" anchor="Numerical:Surface Area Sphere"] 15- [video_lightbox_youtube video_id="uLiyuS3Z-0g&rel=0" width="640" height="520" start="10" anchor="Volume: Cuboid & Cube"] 16- [video_lightbox_youtube video_id="RDk6ED-IITM&rel=0" width="640" height="520" start="10" anchor="Numerical: Volume Cuboid & Cube"] 17- [video_lightbox_youtube video_id="ekiqkfrrESM&rel=0" width="640" height="520" start="10" anchor="Volume of Right Circular Cylinder"] 18- [video_lightbox_youtube video_id="3Jcd41h5-qM&rel=0" width="640" height="520" start="10" anchor="Numerical:Volume of Cylinder"] 19- [video_lightbox_youtube video_id="C0Iww8hr72o&rel=0" width="640" height="520" start="10" anchor="Volume of Cone"] 20- [video_lightbox_youtube video_id="llFsE3G1hlI&rel=0" width="640" height="520" start="10" anchor="Volume of Sphere, Hemisphere"] 21- [video_lightbox_youtube video_id="oXOaGGYpsbU&rel=0" width="640" height="520" start="10" anchor="Numerical: Volume of Sphere"]
- Notes : Online , PDF
Chapter 14: Statistics
You will learn description of statistics, collection of data on different aspects of the life of people, which is useful to the State and interpretation and drawing of inferences from the data. Introduction to statistics includes the presentation of data collected in a raw form. Presentation of data in tabular form by grouping them in a regular intervals, histogram or polygon, bar graph drawing. Topics like how to find the measure of central tendency mean and mode and median of raw data.
1) Book :
2) Solutions :
3) Notes :
4) Test :
5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="NQsaz-AsRZA&rel=0" width="640" height="520" start="10" anchor="Introduction"] 2- [video_lightbox_youtube video_id="mX_XoYWmzU8&rel=0" width="640" height="520" start="10" anchor="Primary, secondary data, Presentation"] 3- [video_lightbox_youtube video_id="aCgZE43RRkM&rel=0" width="640" height="520" start="10" anchor="Grouped, Ungrouped frequency distribution"] 4- [video_lightbox_youtube video_id="AWywf_PVqaU&rel=0" width="640" height="520" start="10" anchor="Numerical: Frequency distribution"] 5- [video_lightbox_youtube video_id="uV75-whb_1Q&rel=0" width="640" height="520" start="10" anchor="Numerical: Frequency distribution"] 6- [video_lightbox_youtube video_id="uDWr9hEj6ig&rel=0" width="640" height="520" start="10" anchor="Numerical: Frequency distribution"] 7- [video_lightbox_youtube video_id="mGpdKiZtDZ8&rel=0" width="640" height="520" start="10" anchor=" Numerical: Frequency distribution"] 8- [video_lightbox_youtube video_id="18vd_7LVrRQ&rel=0" width="640" height="520" start="10" anchor="Bar graph: Graphical Representation of data"] 9- [video_lightbox_youtube video_id="OW-emjP0PbM&rel=0" width="640" height="520" start="10" anchor="Histogram: Graphical Representation of data"] 10- [video_lightbox_youtube video_id="HLJyO_D-cEs&rel=0" width="640" height="520" start="10" anchor="Frequency Polygon: Graphical Representation"] 11- [video_lightbox_youtube video_id="66MWKQ-4LUs&rel=0" width="640" height="520" start="10" anchor="Numerical: Graphical Representation of Data"] 12- [video_lightbox_youtube video_id="8Vt3C-CSq_g&rel=0" width="640" height="520" start="10" anchor=" Numerical: Graphical Representation of Data"] 13- [video_lightbox_youtube video_id="oKCDAvfkFcI&rel=0" width="640" height="520" start="10" anchor="Central endency of data: mean , median, mode"] 14- [video_lightbox_youtube video_id="L3LAxcU4l60&rel=0" width="640" height="520" start="10" anchor="Numerical: Central endency of data"] 15- [video_lightbox_youtube video_id="XPdzBTJOrII&rel=0" width="640" height="520" start="10" anchor="Numerical: Central endency of data"]
- Notes : Online , PDF
Chapter 15: Probability
In this chapter questions are v based on real life or day to day incidents such as coin tossing, throwing a dice, deck of cards probability and simple events.
1) Book :
2) Solutions :
3) Notes :
4) Test :
5) Video by Topic :
- Click on Topic link to open video 1- [video_lightbox_youtube video_id="M1Hhq4NIbV0&rel=0" width="640" height="520" start="10" anchor="Empirical, Statistical, Experimental approach"] 2- [video_lightbox_youtube video_id="IO2W0VSfH3s&rel=0" width="640" height="520" start="10" anchor="Activities"] 3- [video_lightbox_youtube video_id="9Vj7rpcWHV0&rel=0" width="640" height="520" start="10" anchor="Numerical"] 4- [video_lightbox_youtube video_id="GxwUOyZOmOc&rel=0" width="640" height="520" start="10" anchor="Numerical"]
- Notes : Online , PDF
NCERT Chapter 1-15 Exercise answer : View and Download