Ch 1: Numbers and Operations; Ch 2: Ratios, Proportions and Percentages; Ch 2: Contd. Ch 3: Expressions, Equations and Inequalities;Â
Ch 4: Geometry, Measurement;Â Ch 5: Data Handling, Statistics and Probability Ch 5: Contd
VII Standard Mathematics Quiz for your preparation
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VIII Standard Mathematics - Syllabus
Rational Numbers
- Properties of rational numbers
- Commutativity
- Associativity
- Negative of number
- Reciprocal
- Distributivity of multiplication over addition for rational numbers
- Representation of rational numbers on number line
- Rational numbers between two rational numbers
Linear Equations in One Variable
- Solving equations with expression on LHS and number on RHS
- Solving equations with variables on both sides
- Applications
- Reducing equations to simpler form
- Equations reducible to linear form
Understanding Quadrilaterals
- Polygons
- Sum of measures of exterior angles of a polygon
- Kinds of Quadrilaterals
- Parallelogram
- Rectangle
- Square
Practical Geometry
- Constructing a quadrilateral, given 2 diagonals and 3 sides
- Special cases
Data Handling
- Looking for Information
- Organising Data
- Grouping Data
- Circle Graph or Pie Chart
- Chance and Probability
Squares and Square Roots
- Properties of square numbers
- Finding the square of a number
- Pythagorean triplets
- Square roots
- Finding square root through prime factorisation
- Square roots of decimals
- Estimating square root
Cubes and Cube Roots
- Cubes
- Cube roots
- Cube root of a cube number
Comparing Quantities
- Ratios and Percentages
- Finding the increase or decrease percent
- Finding discounts
- Prices related to buying and selling (profit and loss)
- Sales tax/Value Added Tax/GST
- Compound Interest
- Deducing a formula for compound interest
- Rate compounded annually or half yearly (semi annually)
- Applications of compound interest formula
Algebraic Expressions and Identities
- Algebraic terms
- Factors and Coefficients
- Monomials
- Binomials and Polynomials
- Like and Unlike terms
- Addition and Subtraction of algebraic expressions
- Multiplication of algebraic expressions
- Identity
- Standard identities
- Applying identities
Visualizing Solid Shapes
- Views of 3 D shapes
- Mapping space around us
- Faces
- Edges and Verices
Mensuration
- Area of trapezium
- Area of general quadrilaterals,area of a polygon
- Solid shapes: Cuboid, Cube, Cylinders
- Volume of Cube, Cuboid and Cylinder, Volume and Capacity
Exponents and Powers
- Powers with negative exponents
- Laws of exponents
- Use of exponents to express small numbers in standard form
Direct and Inverse Proportions
- Direct proportion
- Inverse proportion
Factorisation
- What is factorisation
- Division of algebraic expressions
- Polynomial / Polynomial
Introduction to Graphs
- Bar graph
- Pie graph or Circle graph
- Histogram
- Line graph
- Linear graphs
Playing with Numbers
- Numbers in general form
- Games with numbers
- Letters for Digits, Tests of Divisibility