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.

## Class 7th NCERT solutions

Class 7 Math NCERT Solutions | Class 7 Science NCERT Solutions |

class 7 English NCERT Solutions | Class 7 Social Science – History NCERT Solution |

Class 7 Social Science – Geography NCERT Solutions | Class 7 Social Science – Political Science NCERT Solutions |

**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.

UNIT | TOPICS |

Chapter 1 | Integers |

Chapter 2 | Fractions and Decimals |

Chapter 3 | Data Handling |

Chapter 4 | Simple Equations |

Chapter 5 | Lines and Angles |

Chapter 6 | The Triangle and its Properties |

Chapter 7 | Congruence of Triangles |

Chapter 8 | Comparing Quantities |

Chapter 9 | Rational Numbers |

Chapter 10 | Practical Geometry |

Chapter 11 | Perimeter and Area |

Chapter 12 | Algebraic Expressions |

Chapter 13 | Exponents and Powers |

Chapter 14 | Symmetry |

Chapter 15 | Visualising Solid Shapes |

**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**. - A
**ray**is a part of a line with one endpoint. - A
**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**

- A
**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**

- Take a piece of paper.
- Fold it in half and unfold the line l. Mark a point
**A**on paper outside l. - Fold the paper perpendicular to the line such that this perpendicular passes through
**A**. Name the perpendicular**AN**. - Make a fold perpendicular to
**AN**through point**A**. Name the new perpendicular line as m. - 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 **5 ^{4}**

Here ‘5’ is the base raised to the power of 4, where 4 is the exponent and **5 ^{4}** 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.

**You Already Know These Shapes!!**

**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.

**Download PDF of NCERT Solutions for Class 7 Math**s

NCERT Solutions Download Class 7 | NCERT Solutions Download Class 7 |

NCERT Solutions for Class 7 Chapter 1 Integers | NCERT Solutions for Class 7 Chapter 8 Comparing Quantities |

NCERT Solutions for Class 7 Chapter 2 Fractions and Decimals | NCERT Solutions for Class 7 Chapter 9 Rational Numbers |

NCERT Solutions for Class 7 Chapter 3 Data Handling | NCERT Solutions for Class 7 Chapter 10 Practical Geometry |

NCERT Solutions for Class 7 Chapter 4 Simple Equations | NCERT Solutions for Class 7 Chapter 11 Perimeter and Area |

NCERT Solutions for Class 7 Chapter 5 Lines and Angles | NCERT Solutions for Class 7 Chapter 12 Algebraic Expressions |

NCERT Solutions for Class 7 Chapter 6 The Triangle and its Properties | NCERT Solutions for Class 7 Chapter 13 Exponents and Powers |

NCERT Solutions for Class 7 Chapter 7 Congruence of Triangles | NCERT Solutions for Class 7 Chapter 14 Symmetry |

NCERT Solutions for Class 7 Chapter 15 Visualising Solid Shapes |

CBSE Class 7 Maths Syllabus 2020-21

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

CBSE Class 7 Maths Study Notes | CBSE Class 7 Maths Study Notes |

Integers Class 7 Notes Chapter 1 | Rational Numbers Class 7 Notes Chapter 9 |

Fractions and Decimals Class 7 Notes Chapter 2 | Practical Geometry Class 7 Notes Chapter 10 |

Data Handling Class 7 Notes Chapter 3 | Perimeter and Area Class 7 Notes Chapter 11 |

Simple Equations Class 7 Notes Chapter 4 | Algebraic Expressions Class 7 Notes Chapter 12 |

Lines and Angles Class 7 Notes Chapter 5 | Exponents and Powers Class 7 Notes Chapter 13 |

The Triangle and its Properties Class 7 Notes Chapter 6 | Symmetry Class 7 Notes Chapter 14 |

Congruence of Triangles Class 7 Notes Chapter 7 | Visualising Solid Shapes Class 7 Notes Chapter 15 |

Comparing Quantities Class 7 Notes Chapter 8 |

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