Direct and Inverse Proportions Extra Questions Class 8 Maths

Maths Syllabus for CBSE Class 8

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

NCERT Syllabus for Class 8 Maths: Detailed Information

• Rational Numbers: Introduction, Properties of Rational Numbers, Representation of Rational Numbers on the Number Line, Rational Numbers between Two Rational Numbers.
• Linear Equations in One Variable: Introduction, Solving Equations Which Have Linear Expressions on one Side and Numbers on the Other Side, Some Applications, Solving Equations having the Variable on Both Sides, Some More Applications, Reducing Equations to Simpler Form, Reducing Equations to Simpler Form, Equations Reducible to the Linear Form.
• Understanding Quadrilaterals: Introduction, Polygons, Sum of the Measures of the Exterior Angles of a Polygon, Kinds of Quadrilaterals, Some Special Parallelograms.
• Practical Geometry: Introduction, Constructing a Quadrilateral, Some Special Cases.
• Data Handling: Looking for Information, Organising Data, Grouping Data, Circle Graph or Pie Chart, Chance and Probability.
• Squares and Square Roots: Introduction, Properties of Square Numbers, Some More Interesting Patterns, Finding the Square of a Number, Square Roots, Square Roots of Decimals, Estimating Square Roots.
• Cubes & Cube Roots: Introduction, Cubes, Cube Roots.
• Comparing Quantities: Recalling Ratios and Percentages, Finding the Increase or Decrease Per cent, Finding Discounts, Prices Related to Buying and Selling (Profit and Loss), Sales Tax/Value Added Tax, 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: What Are Expressions, Terms, Factors and Coefficients, Monomials, Binomials and Polynomials, Like and Unlike Terms, Addition and Subtraction of Algebraic Expressions, Multiplication of Algebraic Expressions: Introduction, Multiplying a Monomial by a Monomial, Multiplying a Monomial by a Polynomial, Multiplying a Polynomial by a Polynomial, What is an Identity? Standard Identities, Applying Identities.
• Visualising Solid Shapes: Introduction, Views of 3D-Shapes, Mapping Space Around Us, Faces, Edges and Vertices.
• Mensuration: Introduction, Let us Recall, Area of Trapezium, Area of a General Quadrilateral, Area of a Polygon, Solid Shapes, Surface Area of Cube, Cuboid and Cylinder, Volume of Cube, Cuboid and Cylinder, Volume and Capacity.
• Exponents & Powers: Powers with negative exponents, Laws of exponents, use of exponents to express small numbers in standard form.
• Direct & Inverse Proportions: Direct Proportion, inverse proportion.
• Factorisation: Factors of natural numbers, what is factorisation, division of algebraic expressions.
• Playing with Numbers: Numbers in general form, games with numbers, letters for digits, tests of divisibility, divisibility by 9 and 3.

Structure of CBSE Maths Sample Paper for Class 8 is

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