 # ICSE Class 7 Maths Syllabus

The Council for The Indian School Certificate Examinations (CISCE) is the board of examination that conducts examination for the Indian Certificate of Secondary Examination (ICSE) for classes up to 10th and Indian School Certificate (ISC) for class 12th.

Class 7th is considered to be equally important class as most of the basic concepts are taught in this class, which are repeated in higher classes. Maths holds to be one of the most difficult subjects as it requires an understanding of the subject. Maths may be a nightmare to a majority of students while only a few of the students actually love to solve maths. Having a good practice of the subject help students to score well. But before beginning your practice, it is crucially important for the students to be aware of the syllabus. Having a good knowledge of the subject helps the students to know about the pattern of the examination, as well as allows students in managing time for the subject.

The Syllabus of ICSE Class 7 Mathematics is given below:

1. Sets

(i) Sets And Venn Diagrams

1. Algebra: Fundamental Concepts

(i) Constant
(ii) Variable
(iii) Term
(iv) Algebraic Expression
(v) Polynomial
(vi) Degree
(vii) Factors
(viii) Coefficients
(ix) Multiplication Of Algebraic Expressions
(x) Division Of Algebraic Expressions
(xi) Use Of Grouping Symbols

1. Operation On Algebraic Expressions

(i) Addition And Subtraction Of Algebraic Expressions
(ii) Subtraction Of Algebraic Expressions

1. Products

(i) Some Special Products

1. Expansions

(i) Some Special Expansions

1. Factorisation

(i) Basic Concept
(ii) Factorisation

1. Simplification

(i) Algebraic Fractions
(ii) Simplification

1. Exponents

(i) Index Or Exponent

1. Algebraic Formulae

(i) Framing A Formula

1. Equations

(i) Equation
(ii) Linear Equation
(iii) Solving Linear Equation In One Variable

1. Linear In Equations

(i) Linear In Equation

1. Relations And Mapping

(i) Ordered Pair
(ii) Relation
(iii) Mapping

1. Numbers

(i) Natural Numbers
(ii) Even Natural Numbers
(iii) Odd Natural Numbers
(iv) Whole Numbers
(v) Prime Numbers
(vi) Composite Numbers
(vii) Integers
(viii) Rational Numbers
(ix) Number Line
(x) Irrational Numbers
(xi) Real Numbers
(xii) Representation Of Rational Number On The Number Line
(xiii) Number System
(xiv) Four Fundamental Operations On Whole Numbers
(xv) Properties Of Addition Of Whole Numbers
(xvi) Properties Of Subtraction Of Whole Numbers
(xvii) Properties Of Multiplication Of Whole Numbers
(xviii) Properties Of Division Of Whole Numbers

1. Powers And Roots

(i) Power Or Exponent Or Index
(ii) Square Of A Number
(iii) Cube Of A Number
(iv) Square Root
(v) Perfect Square
(vi) Cube Root Of A Given Number

1. Integers

(i) Representation Of Integers On Number Line
(ii) Absolute Value Of An Integer
(iii) Fundamental Operations On Integers

1. Factors And Multiples

(i) Factor
(ii) Prime Factorisation
(iii) Highest Common Factors (H.C.F.) Or Greatest Common Divisor (G.C.D.)
(iv) Methods Of Finding H.C.F. (Or G.C.D.)
(v) Multiples And Common Multiples
(vi) Least Common Multiple (L.C.M.)
(vii) Method Of Finding L.C.M.

1. Fractions

(i) Fraction
(ii) Basic Operations On Fractions
(iii) Using ‘Of’
(iv) Using ‘Bodmas’
(v) Use Of Brackets
(vi) Application Of Fractions In Solving Problems

1. Decimal Fractions

(i) Decimal Fractions
(ii) Operations On Decimal Numbers
(iii) Multiplication Of Decimal Numbers
(iv) Division Of Decimals
(v) Rounding Off Of Decimal Numbers
(vi) Significant Figures (Digits)

1. Unitary Method

(i) Basic Concept

1. Time And Work

(i) Problems On Pipes And Cisterns

1. Distance, Time And Speed

(i) Speed

1. Ratio And Proportion

(i) Ratio
(i) Proportion

1. Percent And Percentage

(i) Percentage
(ii) Percentage Change

1. Profit, Loss And Discount

(i) Cost Price
(ii) Selling Price
(iii) Profit (Or Gain)
(iv) Loss
(vi) Profit (Or Gain) Percent Or Loss Percent
(vi) To Find The S.P. When C.P. And Profit % Or Loss % Are Given
(vii) Discount

1. Simple Interest

(i) Principal
(ii) Interest
(iii) Amount
(iv) Rate
(v) Time
(vi) Simple Interest
(vii) Formula For Finding Simple Interest

1. Average

(i) Average

1. Angles

(i) Angle
(ii) Pairs Of Angles
(iii) Angles At A Point
(v) Linear Pair Of Angles
(vi) Vertically Opposite Angles
(vii) Verification
(viii) Complementary Angles
(ix) Supplementary Angles

1. Pairs Of Lines And Transversal

(i) Exterior Angles
(ii) Interior Angles
(iii) Corresponding Angles
(iv) Alternate Interior Angles
(v) Angles Made By A Transversal With Two Parallel Lines

1. Basic Constructions

(i) Bisecting A Line Segment
(ii) Bisecting An Angle
(iii) Construction Of An Angle Congruent To A Given Angle
(iv) Construction Of Perpendicular Line Segments
(v) Construction Of Parallel Lines

1. Triangles

(i) Vertex (Plural Vertices)
(ii) Interior Angles
(iii) Exterior Angles
(iv) Interior Opposite Angles
(v) Classification Of Triangles Based On Their Angles
(vi) Classification Of Triangles Based On Their Sides
(vii) Angle Property Of A Triangle
(viii) Relation Between Exterior Angle And Interior Opposite Angles Of A Triangle

1. Constructions Of Triangles

(i) Construction Of Special Types Of Triangles

1. Congruency Of Triangles

(i) Congruency Of Triangles
(ii) Conditions Of Congruency Of Triangles

1. Polygons

(i) Diagonals Of A Polygon
(ii) Angles Of A Polygon
(iii) Interior Angle Of A Polygon
(iv) Convex Polygon
(v) Concave Polygon
(vi) Exterior Angle Of A Convex Polygon
(vii) A Regular Polygon
(viii) Angle Property Of A Polygon
(x) Different Kinds Of Quadrilaterals And Their Properties

1. Symmetry, Reflection And Rotation

(i) Line Of Symmetry In Circle And Semicircle
(ii) Reflection
(iii) Rotational Symmetry

1. Constructions

(i) Construction Of A Rectangle
(ii) Construction Of A Square

1. Circles

(i) Chords
(ii) Arcs
(iii) Major Segment And Minor Segment
(iv) Semicircle
(vi) Secant
(vii) Tangent

1. Mensuration

(i) Perimeter
(ii) Area
(iii) Surface Area And Volume Of Cuboid And Cube
(vi) Volume
(v) Cube

1. Statistics

(i) Collection Of Data
(ii) Raw Data
(iii) Classification Of Data
(iv) Range
(v) Methods Of Presentation Of Data
(vi) Arithmetic Mean (A.M.)
(vii) Graphical Representation Of Statistical Data

1. Graphs

(i) Rectangular Coordinate Axes
(ii) Graph Or A Linear Equation In Two Variables X And Y