## Topics with syllabus and resources

1 Rational Numbers

syllabus ▼

- Properties of rational numbers
- Representation of rational numbers online number
- Rational number between two rational numbers

- Concepts :
- Introduction of Rational Numbers question (168)
- Properties of Rational Numbers
- Commutativity question (16)

- Associativity question (5)

- The Role of 1 question (2)

- The Role of Zero (0) question (1)

- Negative of a Number question (19)

- Reciprocal question (28)

- Representation of Rational Numbers on the Number Line question (5)
- Rational Numbers Between Two Rational Numbers question (9)

2 Linear Equations in One Variable

syllabus ▼

- Solving linear equations having variable on one side
- Application of linear equations
- Solving linear equations having variable on both sides
- Some more application of linear equations
- Reducing equations to simpler form

- Concepts :
- Introduction of Linear Equation question (61)
- Solving Equations Which Have Linear Expressions on One Side and Numbers on the Other Side question (12)
- Some Applications question (12)
- Solving Equations Having the Variable on Both Sides question (14)
- Some More Applications question (10)
- Reducing Equations to Simpler Form question (10)
- Equations Reducible to the Linear Form question (34)

3 Understanding Quadrilaterals

syllabus ▼

- Polygons
- Sum of the measures of exterior angles of polygons
- Kinds of quadrilaterals
- Properties of parallelogram
- Some special parallelograms

- Concepts :
- Polygons
- Classification of Polygons question (12)

- Concept of Diagonals question (4)

- Convex and Concave Polygons question (1)

- Regular and Irregular Polygons question (20)

- Sum of the Measures of the Exterior Angles of a Polygon question (8)
- Kinds of Quadrilaterals
- Concept of Trapezium question (4)

- Concept of Kite question (2)

- Concept of Parallelogram question (7)

- Elements of a Parallelogram question (7)

- Diagonals of a Parallelogram question (2)

- Introduction of Quadrilaterals question (56)
- Some Special Parallelograms
- Concept of Rhombus question (65)

- Concept of a Rectangle question (39)

- Concept of a Square question (12)

4 Practical Geometry

syllabus ▼

- Constructing a quadrilateral: when the length of four side and diagonal are given
- When two diagonals and three sides are given
- When two adjacent sides and three angles are known
- When three side and two included angles are given
- Some special cases : Square
- Some special cases : Rhombus

- Concepts :
- Introduction of Pratical Geometry
- Constructing a Quadrilateral
- When Two Diagonals and Three Sides Are Given question (14)

- When Two Adjacent Sides and Three Angles Are Known question (26)

- When Three Sides and Two Included Angles Are Given question (2)

- Some Special Cases question (4)

5 Data Handling

syllabus ▼

- Looking for information
- Organizing data, Grouping data
- Circle graph or pie charts
- Chance and probability

- Concepts :
- Looking for Information
- Organising Data question (10)
- Grouping Data
- Introduction of Grouping Data question (19)

- Bars with a Difference question (5)

- Graphical Representation of Data as Histograms question (12)
- Introduction of Circle Graph Or Pie Chart question (8)
- Circle Graph Or Pie Chart - Drawing Pie Charts question (21)
- Chance and Probability - Getting a Result question (2)
- Chance and Probability - Equally Likely Outcomes question (1)
- Chance and Probability - Linking Chances to Probability question (4)
- Chance and Probability - Outcomes as Events question (68)
- Chance and Probability Related to Real Life question (2)

6 Squares and Square Roots

syllabus ▼

- Square of a number
- Finding Square root of a number by repeated subtraction
- Finding Square root of a number by prime factorization method
- Finding Square root of a number by long division method
- Square root of decimals
- Estimation of square root

- Concepts :
- Introduction of Square Numbers question (55)
- Properties of Square Numbers question (42)
- Some More Interesting Patterns question (12)
- Finding the Square of a Number - Other Patterns in Squares question (27)
- Finding the Square of a Number - Pythagorean Triplets question (37)
- Square Roots - Finding Square Roots question (25)
- Square Roots - Finding Square Root Through Repeated Subtraction question (1)
- Square Roots - Finding Square Root Through Prime Factorisation question (79)
- Square Roots - Finding Square Root by Division Method question (78)
- Square Roots of Decimals question (60)
- Estimating Square Root question (18)

7 Cubes and Cube Roots

syllabus ▼

- Cubes
- Cube roots
- Cube root of a cube number

- Concepts :
- Introduction of Cubes and Cube Root question (33)
- Cubes
- Introduction for Cubes question (24)

- Some Interesting Patterns question (6)

- Smallest Multiple that is a Perfect Cube question (47)

- Cube Roots
- Cube Root Through Prime Factorisation Method question (51)

- Cube Root of a Cube Number question (76)

8 Comparing Quantities

syllabus ▼

- Recalling ratio and percentage, finding the increase or decrease percentage, finding discount, Prices related to buying and selling, Sales tax/ value added tax
- Compound Interest, Deducing formula for compound interest, Rate compounded half yearly
- Application of compound interest

- Concepts :
- Calculation of Percentage question (12)
- Decimal Fraction question (6)
- Recalling Ratios and Percentages question (14)
- Finding the Increase Or Decrease per Cent question (4)
- Concept of Finding Discounts question (11)
- Finding Discounts - Estimation in Percentages question (2)
- Prices Related to Buying and Selling (Profit and Loss) question (13)
- Finding Cost Price/Selling Price, Profit %/Loss% question (36)
- Sales Tax/Value Added Tax question (22)
- Conept of Compound Interest question (20)
- Deducing a Formula for Compound Interest
- Rate Compounded Annually Or Half Yearly (Semi Annually) question (53)
- Applications of Compound Interest Formula question (40)
- Concept of Percentage question (32)

9 Algebraic Expressions and Identities

syllabus ▼

- What are expressions?
- Addition and subtraction of algebraic expressions
- Multiplication of algebraic expressions: multiplication of monomial with monomial and monomial with a polynomials
- Multiplication of polynomial with a polynomial
- What is Identity? standard identities

- Concepts :
- Concept of Expression question (12)
- Terms, Factors and Coefficients question (12)
- Monomials, Binomials and Polynomials question (13)
- Like and Unlike Terms question (10)
- Addition and Subtraction of Algebraic Expressions question (29)
- Multiplication of Algebraic Expressions: Introduction question (100)
- Multiplying a Monomial by a Monomial
- Multiplying Two Monomials question (16)

- Multiplying Three Or More Monomials question (5)

- Multiplying a Monomial by a Polynomial
- Multiplying a Monomial by a Binomial question (12)

- Multiplying a Monomial by a Trinomial question (4)

- Multiplying a Polynomial by a Polynomial
- Multiplying a Binomial by a Binomial question (27)

- Multiplying a Binomial by a Trinomial question (20)

- Concept of Identity question (46)
- Standard Identities question (24)
- Applying Identities question (16)

10 Visualizing Solid Shapes

syllabus ▼

- Views of 3D shapes
- Mapping shapes around us
- Faces, Edges and vertices

- Concepts :
- Views of 3D-shapes question (19)
- Mapping Space Around Us question (1)
- Faces, Edges and Vertices question (41)

11 Mensuration

syllabus ▼

- Area of trapezium
- Area of general quadrilateral
- Area of polygon
- Surface area of cube, cuboid and cylinder
- Volume of cube, cuboid and cylinder
- Volume and capacity

- Concepts :
- Introduction of Mensuration question (11)
- Area of Trapezium question (31)
- Area of a General Quadrilateral question (3)
- Area of a Polygon question (22)
- Concept of Solid Shapes question (1)
- Surface Area of Cube, Cuboid and Cylinder
- Concept of Cuboid question (2)

- Concept of Cube question (4)

- Concept of Cylinders question (71)

- Volume of Cube, Cuboid and Cylinder
- Concept of Cuboid question (70)

- Concept of Cube question (41)

- Conept of Cylinder question (2)

- Volume and Capacity question (1)

12 Exponents and Powers

syllabus ▼

- Numbers with negative and positive exponents
- Law of exponents, use of exponents to express very small and very big numbers

- Concepts :
- Powers with Negative Exponents question (59)
- Laws of Exponents question (44)
- Use of Exponents to Express Small Numbers in Standard Form question (32)
- Comparing Very Large and Very Small Numbers

13 Direct and Inverse Proportions

syllabus ▼

- Direct proportion
- Inverse Proportion

- Concepts :
- Concept of Direct Proportion question (40)
- Concept of Inverse Proportion question (44)
- Time and Work question (28)

14 Factorization

syllabus ▼

- "What is Factorization? method of common factors
- Factorization by regrouping terms"
- Factorisation using identities
- Division of algebraic expression

- Concepts :
- Factors of Natural Numbers
- Factors of Algebraic Expressions question (60)
- Factorisation
- Method of Common Factors question (40)

- Factorisation by Regrouping Terms question (22)

- Factorisation Using Identities question (33)

- Factors of the Form ( x + a) ( x + b) question (46)

- Method of Completing the Square question (10)

- Division of Algebraic Expressions - Division of a Monomial by Another Monomial question (5)
- Division of Algebraic Expressions - Division of a Polynomial by a Monomial question (90)
- Division of Algebraic Expressions Continued (Polynomial รท Polynomial) question (31)
- Concept of Find the Error question (23)

15 Introduction to Graphs

syllabus ▼

- Bar graphs, pie graph and line graph
- Linear graphs
- Applications of linear graphs

- Concepts :
- Concept of Bar Graph question (1)
- Concept of Pie Graph (Or a Circle-graph)
- Concept of Histogram
- Concept of a Line Graph question (18)
- Linear Graphs - Location of a Point question (13)
- Linear Graphs - Coordinates question (10)
- Some Applications question (5)

16 Playing with Numbers

syllabus ▼

- Numbers in general form, reversing the digits of number
- Letters for digits
- Test for divisibility by 2,3
- Test for divisibility by 5, 9, 10

- Concepts :
- Numbers in General Form question (7)
- Games with Numbers question (17)
- Letters for Digits question (10)
- Tests of Divisibility - Divisibility by 10
- Tests of Divisibility - Divisibility by 5 question (2)
- Tests of Divisibility - Divisibility by 2 question (2)
- Tests of Divisibility - Divisibility by 9 and 3 question (12)

#### BooksVIEW ALL [2]

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Books For All Subjects- Mathematics Textbook for Class 8
- Mathematics for Class 8 by R D Sharma (2019-2020 Session)