Tag: Maths

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CBSE- Grade 6 Maths Syllabus

Student having trouble finding solutions to difficult math problem can refer to the CBSE Class 6 Maths Syllabus and NCERT maths solutions pdf’s which we also provide. Students just need to cover these NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. CBSE Class 6 Maths Syllabus and NCERT textbooks can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

TOPICS

  1. Knowing Our Numbers
  2. Whole Numbers
  3. Playing With Numbers
  4. Basic Geometrical Ideas
  5. Understanding Elementary Shapes
  6. Integers
  7. Fractions
  8. Decimals
  9. Data Handling
  10. Mensuration
  11. Algebra
  12. Ratio and Proportion
  13. Symmetry
  14. Practical Geometry
1. Knowing Our Numbers

1.A. Comparing Numbers
1.B. Large Numbers in Practice
1.C. Using Brackets
1.D. Roman Numerals

2. Whole Numbers
2.A. Whole Numbers
2.B. The Number Line
2.C. Properties Of Whole Numbers
2.D. Patterns in Whole Numbers
3. Playing With Numbers
3.A. Factors and Multiples
3.B. Prime and Composite Numbers
3.C. Test For Divisibility Of Numbers
3.D. Common Factors and Common Multiples
3.E. Some More Divisibility Rules
3.F. Prime Factorisation
3.G. Highest Common Factor
3.H. Lowest Common Multiple
3.I. Some Problems on HCF and LCM/span>

4. Basic Geometrical Ideas
4.A. Points
4.B. A Line Segment
4.C. A line
4.D. Intersecting Lines
4.E. Parallel Lines
4.F. Ray
4.G. Curves
4.H. Polygons
4.I. Angles
4.J. Triangles
4.K. Quadrilaterals
4.L. Circles
5. Understanding Elementary Shapes
5.A. Measuring Line Segments
5.B. Angles-’Right’ and ‘Straight’
5.C. Angles- ‘Acute’, ‘Obtuse’ and ‘Reflex’
5.D. Measuring Angles
5.E. Perpendicular Lines
5.F. Classification of Triangles
5.G. Quadrilaterals
5.H. Polygons
5.I. Three Dimensional Shapes
6. Integers
6.A. Integers
6.B. Addition of Integers
6.C. Subtraction of Integers with the help of a Number Line
7. Fractions
7.A. A Fraction
7.B. Fraction on the Number Line
7.C. Proper Fractions
7.D. Improper and Mixed Fractions
7.E. Equivalent Fractions
7.F. Simplest Form of a Fraction
7.G. Like Fractions
7.H. Comparing Fractions
7.I. Addition and Subtraction of Fractions
8. Decimals
8.A. Tenths
8.B. Hundredths
8.C. Comparing Decimals
8.D. Using Decimals
8.E. Addition of Numbers with Decimals
8.F. Subtraction of Decimals
9. Data Handling
9.A. Recording Data
9.B. Organisation of Data
9.C. Pictograph
9.D. Interpretation of a Pictograph
9.E. Drawing a Pictograph
9.F. A Bar Graph
10. Mensuration
10.A. Perimeter
10.B. Area
11. Algebra
11.A. Matchstick Patterns
11.B. The Idea Of A Variable
11.C. More Matchstick Patterns
11.D. More Examples of Variables
11.E. Use Of Variables in Common Rules
11.F. Expressions with Variables
11.G. Using Expressions Practically
11.H. What is an Equation?
11.I. Solution of an Equation
12. Ratio and Proportion
12.A. Ratio
12.B. Proportion
12.C. Unitary Method
13. Symmetry
13.A. Making Symmetric Figures : Ink-blot Devils
13.B. Figures With Two Lines of Symmetry
13.C. Figures with Multiple Lines of Symmetry
13.D. Reflection and Symmetry
14. Practical Geometry
14.A. The Circle
14.B. A Line Segment
14.C. Perpendiculars
14.D. Angles
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CBSE- Grade 7 Maths Syllabus

Student having trouble finding solutions to difficult math problem can refer to the CBSE Class 7 Maths Syllabus and NCERT maths solutions pdf’s which we also provide. Students just need to cover these NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. CBSE Class 7 Maths Syllabus and NCERT textbooks can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

TOPICS

  1. Integers
  2. Fractions and Decimals
  3. Data Handling
  4. Simple Equations
  5. Lines and Angles
  6. The Triangle and its Properties
  7. Congruence of Triangles
  8. Comparing Quantities
  9. Rational Numbers
  10. Practical Geometry
  11. Perimeter and Area
  12. Algebraic Expressions
  13. Exponents and Powers
  14. Symmetry
  15. Visualising Solid Shapes
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CBSE- Grade 8 Maths Syllabus

Student having trouble finding solutions to difficult math problem can refer to the CBSE Class 8 Maths Syllabus and NCERT maths solutions pdf’s which we also provide. Students just need to cover these NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. CBSE Class 8 Maths Syllabus and NCERT textbooks can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

TOPICS

  1. Rational Numbers
  2. Linear Equations in One Variable
  3. Understanding Quadrilaterals
  4. Practical Geometry
  5. Data Handling
  6. Squares and Square Roots
  7. Cubes and Cube Roots
  8. Comparing Quantities
  9. Algebraic Expressions and Identities
  10. Visualising Solid Shapes
  11. Mensuration
  12. Exponents and Powers
  13. Direct and Inverse Proportions
  14. Factorisation
  15. Introduction to Graphs
  16. Playing with Numbers
1. Rational Numbers

1.A. Introduction
1.B. Properties of Rational Numbers
1.C. Representation of Rational Numbers on the Number Line
1.D. Rational Number between Two Rational Numbers

2. Linear Equations in One Variable
2.A. Introduction
2.B. Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
2.C. Some Applications
2.D. Solving Equations having the Variable on both sides
2.E. Some More Applications
2.F. Reducing Equations to Simpler Form
2.G. Equations Reducible to the Linear Form
3. Understanding Quadrilaterals
3.A. Polygons
3.B. Some of the Measures of the Exterior Angles of a Polygon
3.C. Kinds of Quadrilaterals
3.D. Some Special Parallelograms
4. Practical Geometry
4.A. Constructing a Quadrilateral
4.B. Some Special Cases
5. Data Handling
5.A. Looking for Information
5.B. Organising Data
5.C. Grouping Data
5.D. Circle Graph or Pie Chart
5.E. Chance and Probability
6. Squares and Square Roots
6.A. Properties of Square Numbers
6.B. Some More Interesting Patterns
6.C. Finding the Square of a Number
6.D. Square Roots
6.E. Square Roots of Decimals
6.F. Estimating Square Root
7. Cubes and Cube Roots
7.A. Cubes
7.B. Cubes Roots
8. Comparing Quantities
8.A. Recalling Ratios and Percentages
8.B. Finding the Increase and Decrease Percent
8.C. Finding Discounts
8.D. Prices Related to Buying and Selling (Profit and Loss)
8.E. Sales Tax/Value Added Tax/Goods and Services Tax
8.F. Compound Interest
8.G. Deducing a Formula for Compound Interest
8.H. Rate Compounded Annually or Half Yearly (Semi Annually)
8.I. Applications of Compound Interest Formula
9. Algebraic Expressions and Identities
9.A. What are Expressions?
9.B. Terms, Factors and Coefficients
9.C. Monomials, Binomials and Polynomials
9.D. Like and Unlike Terms
9.E. Addition and Subtraction of Algebraic Expressions
9.F. Multiplication of Algebraic Expressions:Introduction
9.G. Multiplying a Monomial by a Monomial
9.H. Multiplying a Monomial by a Polynomial
9.I. Multiplying a Polynomial by a Polynomial
9.J. What is an Identity?
9.K. Standard Identities
9.L. Applying Identities
10. Visualising Solid Shapes
10.A. View of 3D-Shapes
10.B. Mapping Space Around Us
10.C. Faces, Edges and Vertices
11. Mensuration
11.A. Let us Recall
11.B. Area of Trapezium
11.C. Area of General Quadrilateral
11.D. Area of Polygons
11.E. Solid Shapes
11.F. Surface Area of Cube, Cuboid and Cylinder
11.G. Volume of Cube, Cuboid and Cylinder
11.H. Volume and Capacity
12. Exponents and Powers
12.A. Powers with Negative Exponents
12.B. Laws of Exponents
12.C. Use of Exponents to Express Small Numbers in Standard Form
13. Direct and Inverse Proportions
13.A. Direct Proportion
13.B. Inverse Proportion
14. Factorisation
14.A. What is Factorisation ?
14.B. Division of Algebraic Expressions
14.C. Division of Algebraic Expressions Continued (Polynomial / Polynomial)
14.D. Can you Find the Error?
15. Introduction to Graphs
15.A. Linear Graphs
15.B. Some Applications
16. Playing with Numbers
16.A. Numbers in General Form
16.B. Game with Numbers
16.C. Letters for Digits
16.D. Test of Divisibility
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CBSE- Grade 9 Maths Syllabus

Student having trouble finding solutions to difficult math problem can refer to the CBSE Class 9 Maths Syllabus and NCERT maths solutions pdf’s which we also provide. Students just need to cover these NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. CBSE Class 9 Maths Syllabus and NCERT textbooks can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

TOPICS

  1. Number Systems
  2. Polynomials
  3. Coordinate Geometry
  4. Linear Equations in Two Variables
  5. Introduction to Euclid’s Geometry
  6. Lines and Angles
  7. Triangles
  8. Quadrilaterals
  9. Areas of Parallelograms and Triangles
  10. Circles
  11. Constructions
  12. Heron’s Formula
  13. Surface Areas and Volumes
  14. Statistics
  15. Probability
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CBSE- Grade 10 Maths Syllabus

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Student having trouble finding solutions to difficult math problem can refer to the CBSE Class 10 Maths Syllabus and NCERT maths solutions pdf’s which we also provide. Students just need to cover these NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. CBSE Class 10 Maths Syllabus and NCERT textbooks can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

TOPICS

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equation in Two Variables
  4. Quadratic Equations
  5. Arithmetic Progressions
  6. Triangles
  7. Coordinate Geometry
  8. Introduction to Trigonometry
  9. Some Applications of Trigonometry
  10. Circles
  11. Constructions
  12. Area related to circles
  13. Surface area and volumes
  14. Statistics
  15. Probability
1. Real Numbers

1.A. Euclid’s division Lemma
1.B. The Fundamental theorem of arithmetic
1.C. Revisiting irrational numbers
1.D. Revisiting rational numbers and their decimal expansion

2. Polynomials
2.A. Geometrical meaning of zeroes of polynomial
2.B. Relationship between zeroes and coefficients of polynomial
2.C. Division algorithms for polynomial
3. Pair of Linear Equation in Two Variables
3.A. Pair of linear equation in two variables
3.B. Algebraic method of solving pair of linear equation- substitution method
3.C. Algebraic method of solving pair of linear equation- elimination method
3.D. Algebraic method of solving pair of linear equation- cross multiplication
method
3.E. Equation reducible to pair of linear equation in two variables
4. Quadratic Equations
4.A. Quadratic Equations
4.B. Solution of quadratic equation by factorization
4.C. Solution of quadratic equation by completing the square
4.D. Nature of roots
5. Arithmetic Progressions
5.A. Introduction
5.B. Arithmetic progressions
5.C. Sum of first n terms of an AP
6. Triangles
6.A. Similar figures
6.B. Similarity of triangles: (Prove) If a line is drawn parallel to one side
of a triangle to intersect the other two sides in distinct points,the other two sides are divided in the same ratio
6.C. (Motivate) If a line divides two sides of a triangle in the same ratio,
the line is parallel to the third side
6.D. Basic Proportionality Theorem
6.E. Criteria for similarity of triangles
6.F. Area of similar triangles
6.G. Pythagoras theorem
6.H. Converse of Pythagoras theorem
7. Coordinate Geometry
7.A. Distance formula
7.B. Section formula
7.C. Area of triangle
8. Introduction to Trigonometry
8.A. Trigonometry: Introduction
8.B. Trigonometric ratios of some specific angles
8.C. Trigonometric ratios of complementary angles
8.D. Trigonometric identities
9. Some Applications of Trigonometry
9.A. Heights and distances
10. Circles
10.A. Tangent to a circle
10.B. Number of tangent from a point to a circle
11. Constructions
11.A. Division of a line segment
11.B. Construction of triangle similar to given triangle
11.C. Construction of tangents to a circle
12. Area related to circles
12.A. Perimeter and area of a circle
12.B. Area of sector and segment of a circle
12.C. Area of segment of a circle
12.D. Problems on Area and Perimeter
13. Surface area and volumes
13.A. Volume of a combination of solids
13.B. Conversion of one solid shape into another
13.C. Frustum of cone
14. Statistics
14.A. Mean of grouped data
14.B. Mode of grouped data
14.C. Median of grouped data
14.D. Graphical representation of cumulative frequency distribution
15. Probability
15.A. Introduction
15.B. Probability- a theoretical approach
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CBSE- Grade 12 Maths Syllabus

Students having trouble with tough math problems who wish to score better in their mathematics examinations can refer to our free Class 12 Maths Syllabus and NCERT solutions which give students all that is necessary to prepare for their examinations and solve various math related problems. All that students need to do is go through these CBSE Class 12 Maths Syllabus and NCERT books and solve the questions and exercises given in each chapter. Students can be assured of positive results. NCERT text books can be very helpful for students in achieving maximum marks in their examinations.

Some of the topics Covered include :

TOPICS

  1. Relations and Functions
  2. Inverse Trignometric Functions
  3. Matrices
  4. Determinants
  5. Continuity or Differentiability
  6. Application of Derrivatives
  7. Integrals
  8. Application of Integrals
  9. Differential Equations
  10. Vector Algebra
  11. Three Dimensional Geometry
  12. Linear Programming
  13. Probability
1. Relations and Functions

1.A. Types of relation
1.B. Types of function
1.C. Composition of function and invertible function
1.D. Binary operation

2. Inverse Trignometric Functions
2.A. Definition
2.B. Range
2.C. Domain
2.D. Graphs of inverse trigonometric functions
2.E. Properties of inverse trignometric functions
3. Matrices
3.A. Matrix
3.B. Order of matrix
3.C. types of matrices
3.D. Properties of transpose of matrix
3.E. Operations on matrices: addition
3.F. Multiplication of matrices
3.G. Symmetric and skew-symmetric matrices
3.H. Elementary operation of matrix
3.I. Invertible matrix
3.J. Inverse of matrix by elimentary operation

4. Determinants
4.A. Determinant
4.B. Properties of determinant
4.C. Area of a triangle
4.D. Minor and cofactors
4.E. Adjoint nand inverse of a matrix
4.F. Application of matrices and determinants: solution of linear equation using inverse of a matrix
5. Continuity or Differentiability
5.A. Continuity
5.B. Algebra of continuous function
5.C. Differentiability
5.D. Derrivative of composite function (chain rule)
5.E. Derrivative of impicit function
5.F. Derrivative of inverse trignometric function
5.G. Exponential logarithmic function
5.H. Logarithmic differentiation
5.I. Derrivatives of function in parametric form
5.J. Second order derrivative
5.K. Mean value theorem

6. Application of Derrivatives
6.A. Rate of change of quantities
6.B. Increasing and decreasing functions
6.C. Tangents and normals
6.D. Approximation
6.E. Maxima and minima: Introduction
6.F. Maxima and minima: First derrivative method
6.G. Maxima and minima: second derrivative method
6.H. Maximum and minimum value of function in closed interval
7. Integrals
7.A. Integration as an inverse process of differentiation
7.B. Geometric interpretation of indefinite integral
7.C. Some properties of indefinite integrals
7.D. Comparison between differentiation and integration
7.E. Methods of integration
7.F. Integration using trignometric identities
7.G. Integrals of some particular function
7.H. Integration by partial fraction
7.I. Integration by parts
7.J. Integrals of some more types
7.K. Definite integration: definite integral as a limit of a sum
7.L. Fundamental theorem of calculus
7.M. Evaluating definite integral by substitution
7.N. Some properties of definite integrals
8. Application of Integrals
8.A. Area under simple curves
8.B. Area of a region bounded by curve and a line
8.C. Area between two curves
9. Differential Equations
9.A. Basic concept
9.B. Degree of a differential equation
9.C. General and particular solutions of differential equation
9.D. Formation of differential equation whose general solution is given
9.E. Methods of solving first order, first degree differential equation
9.D. Homogeneous differential equation
9.E. Linear differential equation
10. Vector Algebra
10.A. Some basic concepts
10.B. Types of vectors
10.C. Addition of vectors
10.D. Multiplication of vector by a scalar: components of vector
10.E. Vector joing two points
10.F. Section formula
10.G. Product of two vectors: scalar product and application
10.H. Scalar triple product
10.I. Cross product of two vectors
11. Three Dimensional Geometry
11.A. Direction cosines and direction ratios of a line
11.B. Equation of a line in space
11.C. Angle between two lines
11.D. Shortest distance between two lines
11.E. Plane: equation of plane in normal form
11.F. “Equation of a plane perpendicular to a given vector and passing through a given point”
11.G. Equation of plane passing through three non collinear points
11.H. “Intercept form of equation of line and a plane passing throug through
the intersection of two given plane”
11.I. Coplanarity of two lines
11.J. Angle between two planes
11.K. Distance of a point from a plane
11.L. Angle between a line and a plane
12. Linear Programming
12.A. Linear programming problem and its mathematical formulation
12.B. Graphical method of solving linear programming problem
12.C. Different types of linear programming problem
13. Probability
13.A. Conditional probability
13.B. multiplication theorem on probability
13.C. independent events
13.D. total probability
13.E. Baye’s theorem
13.F. Random variable and its probability distribution
13.G. mean and variance of random variable
13.H. Repeated independent (Bernoulli) trials and Binomial distribution
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CBSE- Grade 11 Maths Syllabus

Maths is a useful and scoring subject for all students. Therefore it is a necessary subject for students to prepare well for.The CBSE board has included this subject in class 11 curriculum so that students have the ability to think and calculate and solve problems without any difficulties.CBSE board strives to give students valuable and informative education with the syllabus that he have carefully constructed. We also provide students with an interesting article with each topic that the students will cover. Thereby helping students get a clear idea and better understand the topic.

It is important for every 11th grade student to know the CBSE class 11 maths syllabus of every subject before starting their preparation for exams.

Some of the topics Covered include :

TOPICS

  1. Sets
  2. Relations and Functions
  3. Trignometric Functions
  4. Principle of Mathematical Induction
  5. Complex Numbers and Quadratic Equation
  6. Linear Inequalities
  7. Permutation and Combination
  8. Binomial Theorem
  9. Sequence and Series
  10. Strainght Lines
  11. Conic Sections
  12. Introduction to 3-D Geometry
  13. Limits and Derrivatives
  14. Mathematical Reasoning
  15. Statistics
  16. Probability
1. Sets

1.A. Sets and their representation
1.B. Types of sets: empty sets, finite and infinite sets, power set, universal set
1.C. Cardinality of sets
1.D. Subset and superset
1.E. Venn diagram
1.F. Operation on sets: union of sets
1.G. Operation on sets: intersection and difference of sets
1.H. Complement of sets
1.I. Practical problems on union and intersection of two sets

2. Relations and Functions
2.A. Cartesian product of sets
2.B. Relations
2.C. Function: domain and range
2.D. identity function, constant function and modulus function
2.E. Graphs of polynomial function
2.F. Graphs of rational function
2.G. Algebra of real functions
3. Trignometric Functions
3.A. Angles
3.B. Trignometric functions
3.C. Domain and range of trignometric functions
3.D. Trignometric function of sum and difference of two angles
3.E. Trignometric equations

4. Principle of Mathematical Induction
4.A. Introduction and motivation
4.B. The principle of mathematical induction
5. Complex Numbers and Quadratic Equation
5.A. Algebra of complex numbers
5.B. Modulus and conjugate of complex numbers
5.C. Argand plane and polar representation
5.D. Quadratic equations
5.E. Euler’s formula and De Moivre’s theorem
6. Linear Inequalities
6.A. Inequalities
6.B. Algebraic solution of linear inequality in one variable and their graphical representation
6.C. Graphical solution of linear inequalities in two variables
6.D. Solution of system of linear inequalities in two variables
7. Permutation and Combination
7.A. Fundamental principle of counting
7.B. Permutations
7.C. Combinations
8. Binomial Theorem
8.A. Binomial theorem for positive integral indices
8.B. General and middle term
9. Sequence and Series
9.A. Sequences and Series
9.B. Arithmetic progressions
9.C. Geometric progression
9.D. Relationship between Aithmetic mean and geometric mean
9.E. Sum to n terms of special series
10. Strainght Lines
10.A. Slope of a line
10.B. Various forms of equation of line
10.C. General equation of line
10.D. Distance of a point form a line
11. Conic Sections
11.A. Sections of cone
11.B. Circle
11.C. Parabola
11.D. Ellipse
11.E. Hyperbola
12. Introduction to 3-D Geometry
12.A. Coordinates of point in space
12.B. Distance between two points
12.C. Section formula
13. Limits and Derrivatives
13.A. Intuitive idea of derrivative
13.B. limits
13.C. Limits of trignometric function
13.D. Derrivatives
13.E. Algebra of derivative of function
14.Mathematical Reasoning
14.A. Introduction
14.B. Statements
14.C. New statements from old
14.D. Special word/phrase
14.E. Implications
14.F. validating statements
15.Statistics
14.A. Measures of dispersion and range
14.B. Mean deviation
14.C. mean deviation for ungrouped data
14.D. mean deviation for discrete frequency distribution
14.E. mean deviation for continuous frequency distribution
14.F. Variance and standard deviation
14.G. Shortcut method for finding variance and standard deviation
14.H. Analysis of frequency distribution
14.Probability
14.A. Random experiment
14.B. Event and types of event
14.C. Algebra of event
14.D. Axiomatic approach to probability