Maths Olympiad for Class 7 | International Maths Olympiad | IMO | IMO Class 7

IMO Class 7

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NCERT Solutions for Class 7 Maths

NCERT solutions of Class 7 Maths includes solutions of all questions and more to help and support practice with more relevant and important questions. These solutions have been provided and prepared by the most experienced teachers and important resources. A very simple approach has been followed while solving the questions and designing the NCERT Solutions for Class 7 Maths. Students will find it extremely easy to understand the problems and how to go about solving them.

NCERT Solutions for Class 7 Maths,Syllabus,Notes,Maths Olympiad

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Unlike other subjects, rote learning cannot help you to excel in Maths as it requires more analytical approach and critical ability to think and solve. Even for other subjects, rote learning is not recommended as it won’t be of much use after a point of time. Maths, from the very beginning, needs one to think logically to enhance analytical ability. But just because the subject needs logical thinking and analytical skills does not mean it is tough. Maths needs practice and with practice, anything can be perfected, even the way you think and analyze.
So, it is of utmost importance to take Maths seriously right from your early school life. Getting your basics clear at this point will make it easier for you to handle difficult concepts as you grow older.

Maths of Class 7 standard plays a vital role in strengthening the fundamentals of the subject with comprehensive analysis. It is at this point, Maths goes beyond simple addition, subtraction, multiplication, and division and move onto more complex concepts to practice and understand . So, one must prepare for this subject in a serious manner and get all their doubts clear,with maximum practice more and more to master the problem solving skill. Otherwise, they won’t be able to cope with the subject later, especially if they are planning to take up Science in their Higher Secondary level.Subject like Physics and Chemistry in higher classes has Maths base to solve and analyse.

CBSE Syllabus For Class 7 Maths  

Maths is a subject which will help you get into various career paths. So, having good fundamental knowledge in Maths is very important. The CBSE Syllabus for Class 7 Maths is tabulated as follows:

Detailed CBSE Syllabus For Class 7 Maths

Let us now see what all are included in each of these chapters:

Chapter 1: Integers

1.1: Introduction

1.2: Recall

1.3: Properties of Addition and Subtraction of Integers

1.3.1: Closure under Addition

1.3.2: Closure under Subtraction

1.3.3: Commutative Property

1.3.4: Associative Property

1.3.5: Additive Identity

1.4: Multiplication of Integers

1.4.1: Multiplication of a Positive and a Negative Integer

1.4.2: Multiplication of two Negative Integers

1.4.3: Product of three or more Negative Integers

1.5: Properties of Multiplication of Integers

1.5.1: Closure under Multiplication

1.5.2: Commutativity of Multiplication

1.5.3: Multiplication by Zero

1.5.4: Multiplicative Identity

1.5.5: Associativity for Multiplication

1.5.7: Distributive Property

1.5.7: Making Multiplication Easier

1.7: Division of Integers

1.7: Properties of Division of Integers

Chapter 2: Fractions and Decimals

2.1: Introduction

2.2: How Well Have You Learnt About Fractions?

2.3: Multiplication of Fractions

2.3.1: Multiplication of a Fraction by a Whole Number

2.3.2: Multiplication of a Fraction by a Fraction

2.4: Division of Fractions

2.4.1: Division of Whole Number by a Fraction

2.4.2: Division of a Fraction by a Whole Number

2.4.3: Division of a Fraction by Another Fraction

2.5: How Well Have You Learnt About Decimal Numbers

2.7: Multiplication of Decimal Numbers

2.7.1: Multiplication of Decimal Numbers by 10, 100 and 1000

2.7: Division of Decimal Numbers

2.7.1: Division by 10, 100 and 1000

2.7.2: Division of a Decimal Number by a Whole Number

2.7.3: Division of a Decimal Number by another Decimal Number.

Chapter 3: Data Handling

3.1: Introduction

3.2: Collecting Data

3.3: Organisation Of Data

3.4: Representative Values

3.5: Arithmetic Mean

3.5.1: Range

3.7: Mode

3.7.1: Mode of Large Data

3.7: Median

3.8: Use of Bar Graphs with A Different Purpose

3.8.1: Choosing A Scale

3.9: Chance and Probability

3.9.1: Chance.

Chapter 4: Simple Equations

4.1: A Mind-Reading Game!

4.2: Setting Up of an Equation

4.3: Review of What We Know

4.4: What Equation Is?

4.4.1: Solving an Equation

4.5: More Equations

4.7: From Solution to Equation

4.7: Applications of Simple Equations to Practical Situations

Chapter 5: Lines and Angles

5.1: Introduction

5.2: Related Angles

5.2.1: Complementary Angles

5.2.2: Supplementary Angles

5.2.3: Adjacent Angles

5.2.4: Linear Pair

5.2.5: Vertically Opposite Angles

5.3: Pairs of Lines

5.3.1: Intersecting Lines

5.3.2: Transversal

5.3.3: Angles Made by A Transversal

5.3.4: Transversal of Parallel Lines

5.4: Checking for Parallel Lines

Chapter 7: Triangles and its Properties

7.1: Introduction

7.2: Medians of a Triangle

7.3: Altitudes of a Triangle

7.4: Exterior Angle of a Triangle and Its Property

7.5: Angle Sum Property of a Triangle

7.7: Two Special Triangles: Equilateral and Isosceles

7.7: Sum of The Lengths of Two Sides of a Triangle

7.8: Right-Angled Triangles and Pythagoras Property

Chapter 7: Congruence of Triangles 

7.1: Introduction

7.2: Congruence of Plane Figures

7.3: Congruence Among Line Segments

7.4: Congruence of Angles

7.5: Congruence of Triangles

7.7: Criteria for Congruence of Triangles

7.7: Congruence Among Right-Angled Triangles

Chapter 8: Comparing Quantities

8.1: Introduction

8.2: Equivalent Ratios

8.3: Percentage – Another Way of Comparing Quantities

8.3.1: Meaning of Percentage

8.3.2: Converting Fractional Numbers to Percentage

8.3.3: Converting Decimals to Percentage

8.3.4: Converting Percentages to Fractions or Decimals

8.3.5: Fun with Estimation

8.4: Use of Percentages

8.4.1: Interpreting Percentages

8.4.2: Converting Percentages To “How Many”

8.4.3: Ratios to Percents

8.4.4: Increase or Decrease as Percent

8.5: Prices Related to An Item or Buying and Selling

8.5.1: Profit or Loss as A Percentage

8.7: Charge Given on Borrowed Money or Simple Interest

8.7.1: Interest for Multiple Years.

Chapter 9: Rational Numbers 

9.1: Introduction

9.2: Need for Rational Numbers

9.3: What Are Rational Numbers?

9.4: Positive and Negative Rational Numbers

9.5: Rational Numbers on a Number Line

9.7: Rational Numbers in Standard Form

9.7: Comparison of Rational Numbers

9.8: Rational Numbers Between Two Rational Numbers

9.9: Operations on Rational Numbers

9.9.1: Addition

9.9.2: Subtraction

9.9.3: Multiplication

9.9.4: Division.

Chapter 10: Practical Geometry

10.1: Introduction

10.2: Construction of A Line Parallel To A Given Line, Through A Point Not On The Line

10.3: Construction of Triangles

10.4: Constructing A Triangle When the Lengths of Its Three Sides Are Known (SSS Criterion)

10.5: Constructing A Triangle When the Lengths of Two Sides and The Measure of The Angle Between Them Are Known. (SAS Criterion)

10.7: Constructing A Triangle When the Measures of Two of Its Angles and The Length of The Side Included Between Them Is Given. (ASA Criterion)

10.7: Constructing A Right-Angled Triangle When the Length of One Leg and Its Hypotenuse Are Given (RHS Criterion). 

Chapter 11: Perimeter and Area 

11.1: Introduction

11.2: Squares and Rectangles

11.2.1: Triangles as Parts Of Rectangles

11.2.2: Generalising For Other Congruent Parts of Rectangles

11.3: Area of A Parallelogram

11.4: Area of A Triangle

11.5: Circles

11.5.1: Circumference of A Circle

11.5.2: Area of Circle

11.7: Conversion of Units

11.7: Applications.

Chapter 12: Algebraic Expressions 

12.1: Introduction

12.2: How Are Expressions Formed?

12.3: Terms of An Expression

12.4: Like and Unlike Terms

12.5: Monomials, Binomials, Trinomials and Polynomials

12.7: Addition and Subtraction of Algebraic Expressions

12.7: Finding the Value of An Expression

12.8: Using Algebraic Expressions – Formulas and Rules.

Chapter 13: Exponents and Powers

13.1: Introduction

13.2: Exponents

13.3: Laws of Exponents

13.3.1: Multiplying Powers with The Same Base

13.3.2: Dividing Powers with The Same Base

13.3.3: Taking Power of a Power

13.3.4: Multiplying Powers with The Same Exponents

13.3.5: Dividing Powers with The Same Exponents

13.4: Miscellaneous Examples Using the Laws of Exponents

13.5: Decimal Number System

13.7: Expressing Large Numbers in The Standard Form.

Chapter 14: Symmetry

14.1: Introduction

14.2: Lines of Symmetry for Regular Polygons

14.3: Rotational Symmetry

14.4: Line Symmetry and Rotational Symmetry.

Chapter 15: Visualising Solid Shapes 

15.1: Introduction: Plane Figures and Solid Shapes

15.2: Faces, Edges and Vertices

15.3: Nets for Building 3-D Shapes

15.4: Drawing Solids on A Flat Surface

15.4.1: Oblique Sketches

15.4.2: Isometric Sketches

15.4.3: Visualising Solid Objects

15.5: Viewing Different Sections of a Solid

15.5.1: One Way to View an Object Is by Cutting Or Slicing

15.5.2: Another Way Is by Shadow Play

15.5.3: A Third Way Is by Looking at It From Certain Angles To Get Different Views.

Tips and Tricks to Study Maths -

• Attempt as many conceptual questions on those derivations as you can. This will give you a better understanding of the subject.
• Look for new questions on similar context from previous year’s question papers, sample papers and other model test papers.
• Always time yourself while solving sample papers as it will help you better manage time during the exam.

• Revision of notes and memorizing the formulas and the definition of difficult terms helps a lot while last minute preparation. Keep a few lists of topics separately for quick revision and it must contain the important formulae, derivations and important definitions. 
• Solve as many class 7  sample papers you can, but try to solve at least 3-4 completely. Practice past year question papers & model test papers.
• Time management is a must; take out time for re-creation as well along side preparation.
• Try and finish all the topics and questions in the NCERT books.CBSE questions are majorly based on the question in this book only.

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