# NCERT solutions for Class 7 Maths

#### BySchool Connect Online

Nov 7, 2021

Class 7 NCERT Solutions for maths and science. When the student gets stuck with the questions, NCERT solutions can help them get an idea of how and what to do answer the question. With pre researched and expert revised solutions to questions, students can learn and understand how to solve or answer a questions. It gives students a sample of how and what should be the answer to the question. Also with tons of homework and work pressure on students, NCERT solutions can make the homework easier and less confusing.

School Connect Online provides you NCERT solution for class 7 for every subject to help students as well as tutors. NCERT solutions for each subject, chapter and topic are available for students to read and learn. The NCERT books followed in various CBSE and state board affiliated schools. At the end of each chapter, an exercise is provided. Students should solve those exercise questions thoroughly. In the final exam, questions are asked from these NCERT exercise problems. . So, to help them we have provided detailed step by step NCERT Solutions for all the classes. These solutions will also help students in writing the answers in a better way from the exam perspective, so that they score more marks in exams.

## CBSE Syllabus for Class 7 Maths

The table below shows the chapters listed under CBSE Class 7 Maths Syllabus. Each chapter name has been linked to its NCERT solutions where we have provided step by step answers to all the exercise problems for students convenience.

Chapter : 1 – Integers – Class : 7 – Notes

Natural Numbers : The collection of all the counting numbers is called a set of natural numbers. It is denoted by N = {1,2,3,4….}

Whole Numbers: The collection of natural numbers along with zero is called a set of whole numbers. It is denoted by W = { 0, 1, 2, 3, 4, 5, … }

Chapter : 2- Fractions and Decimals – Class : 7 – Notes

The word fraction derives from the Latin word “Fractus” meaning broken. It represents a part of a whole, consisting of a number of equal parts out of a whole.

E.g : slices of a pizza.

Chapter : 3- Data Handling – Class : 7 – Notes

Double bar graphs are an effective tool to compare the values of two quantities for the same observation. For example, consider the marks obtained by five students of a class in two tests. Using a double bar graph, we can analyse which week students had better marks.

Chapter : 4 – Simple Equations – Class : 7 – Notes

Variable is a quantity that can take any value, its value is not fixed. It is a symbol for a number whose value is unknown yet.

Expressions are formed by performing operations like addition, subtraction, multiplication and division on the variables.

Example: 6x – 3 is an expression in variable x.

Chapter : 5- Lines and Angles – Class : 7 – Notes

• If we take a point and draw a straight path that extends endlessly on both sides, then the straight path is called a line.
• ray is a part of a line with one endpoint.
• line segment is a part of a line with two endpoints.

Chapter : 6 – The Triangles and its Properties – Class : 7 – Notes

A triangle is a closed curve made of three line segments.

Chapter : 7 – Congruence of Triangles – Class : 7 – Notes

In Geometry, congruence is a term used to define two objects that have the same dimensions and shape. Moreover, if one shape can be exactly like the other on turning, flipping and/or sliding it, then the two shapes are said to be congruent to each other. So two congruent figures drawn on a piece of paper can be cut out and placed over one another to match up perfectly. When we say a figure A is congruent to a figure B, symbolically it can be written as figure A ≅ figure B.

Chapter : 8 – Comparing Quantities – Class : 7 – Notes

Every day we note a variety of situations where we need to calculate or compare things. in “percent”. Mostly the situations related to selling or buying of items. We use Selling price to sell the article on a particular cost and that can be calculated using the selling price formula.The amount that a customer pays to buy a product is called a selling Price.

• Prices related to an item are: (i) Selling price
(ii) Cost price
• Selling price (SP) is the price at which a product is sold out.
• Cost price (CP) is the buying price of an item.
• Profit = Selling price – Cost price
• Loss = Cost price – Selling price
• If SP > CP , then it is profit.
• If SP = CP , then it is neither profit nor loss.
• If CP > SP , then it is loss.

Chapter : 9 – Rational Numbers – Class : 7 – Notes

• rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and q≠0.
• In our daily lives, we use some quantities which are not whole numbers but can be expressed in the form of p/q. Hence we need rational numbers.

Chapter : 10- Practical Geometry – Class : 7 – Notes

1. Take a piece of paper.
2. Fold it in half and unfold the line l. Mark a point A on paper outside l.
3. Fold the paper perpendicular to the line such that this perpendicular passes through A. Name the perpendicular AN.
4. Make a fold perpendicular to AN through point A. Name the new perpendicular line as m.
5. Now,  l || m.

Chapter : 11- Perimeter and Area – Class : 7 – Notes

• Perimeter is the total length or total distance covered along the boundary of a closed shape.
• The area is the total amount of surface enclosed by a closed figure.

Chapter : 12- Algebraic Expressions – Class : 7 – Notes

Constant

Constant is a quantity which has a fixed value.

Terms of Expression

Parts of an expression which are formed separately first and then added are known as terms. They are added to form expressions.

Example: Terms 4x and 5 are added to form the expression (4x +5).

Coefficient of a term

The numerical factor of a term is called coefficient of the term.

Example: 10 is the coefficient of the term 10xy in the expression 10xy+4y.

Chapter : 13- Exponents and Powers – Class : 7 – Notes

Repeated multiplication of the same number can be expressed in the form of exponents.

Example : 625 = 5   5   5  5 or 54

Here ‘5’ is the base raised to the power of 4, where 4 is the exponent and 54 is the exponential form of 625.

Chapter : 14 – Symmetry – Class : 7 – Notes

• Symmetry is a geometrical concept that is found in most cases including nature.
• Any geometric shape can be said to be symmetric or asymmetric
• A shape is said to be symmetric if there exists an imaginary line passing through that divides the shape into halves and that these halves overlap each other completely.
• In other words, fold the shape about the imaginary line to check if the two halves completely overlap each other or not. If they overlap each other completely the shape is symmetric, if not, then it is asymmetric.
• The imaginary line is called as the line of symmetry.
• The symmetry observed in the above example is called as a line or bilateral symmetry.

Chapter : 15 – Visualising Solid Shapes – Class : 7 – Notes

What are Solids in Maths?

Dimensions

• Dimension is a measurable length along a direction.
• Dimensions are length, breadth (or width) or height (or depth).
• A point is dimensionless.
• Based on the number of dimensions a figure has, there are one-dimensional, two-dimensional and three-dimensional figures.

1D and 2D figures

• One-dimensional figures do not enclose any area and have only one direction.
Example: A ray or a line segment.
• Two-dimensional figures have an area associated with them.
They have length and breadth or width.
They are usually plane figures, like squares, rectangles and circles.

CBSE Class 7 Maths Syllabus 2020-21

## CBSE Notes for Class 7 Maths Free Download for All Chapters

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