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NCERT Solutions for Class 7 Maths,Syllabus,Notes,Maths Olympiad
Practice questions and NCERT Solutions for Class 7 Maths is a very important resource for students of CBSE Class 7. Maths is an interesting subject for the enhancement of analytical skills.
Unfortunately, many students find it difficult because of no interest or lack of better knowledge to comprehend. Maths is really a difficult subject but very interesting when comprehended well and practice with easy to hard problems and students find it difficult because most of them do not have their basics clear for the subject. Lack of sufficient practice tool is a major reason why solving Mathematical problems seems a tough nut to crack.
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To help you with this, we have learning notes and videos, Practice questions for NCERT,SOF,Maths Olympiad with 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.
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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.
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:
Name of the Chapters
Fractions and Decimals
Lines and Angles
The Triangles and its Properties
Congruence of Triangles
Perimeter and Area
Exponents and Powers
Visualizing Solid Shapes
Detailed CBSE Syllabus For Class 7 Maths
Let us now see what all are included in each of these chapters:
Chapter 1: Integers
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
2.2: 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
3.2: Collecting Data
3.3: Organisation Of Data
3.4: Representative Values
3.5: Arithmetic Mean
3.7.1: Mode of Large Data
3.8: Use of Bar Graphs with A Different Purpose
3.8.1: Choosing A Scale
3.9: Chance and Probability
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
5.2: 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
5.3.3: Angles Made by A Transversal
5.3.4: Transversal of Parallel Lines
5.4: Checking for Parallel Lines
Chapter 7: Triangles and its Properties
7.2: 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
7.2: 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
8.2: 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
9.2: 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
Chapter 10: Practical Geometry
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
11.2: 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
11.5.1: Circumference of A Circle
11.5.2: Area of Circle
11.7: Conversion of Units
Chapter 12: Algebraic Expressions
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
13.3: 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
14.2: 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.
Reference Links –
Other National and International Level Olympiads
International Artificial Intelligence Olympiad 2020-21
International Coding Olympiad 2020-21
International Maths Olympiad 2020-21
International Science Olympiad 2020-21
Kishore Vaigyanik Protsahan Yojana
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