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Printable 7th Grade Math Worksheets

Curriculum  /  Math  /  7th Grade

Mathematics

What Do Students Learn in 7th Grade Math?

In seventh grade, students extend and apply many of the concepts they've learned in sixth grade in order to discover new types of relationships, new and efficient ways to solve problems, and new ways to analyze and look at data and associations. Students will investigate proportional relationships and use this understanding to solve real-world problems involving discounts, interest, taxes, and scale drawings. Building off of their sixth-grade understanding of integers, seventh-grade students will apply the properties of operations to all rational numbers in order to efficiently and thoughtfully work with the number system, including how it applies to expressions and equations. Lastly, students will learn to question what it means to be a representative sample of a population and how to effectively compare different populations.

Explore this curriculum

7th Grade Standards Map

Pacing Guide

Course Material Overview

Proportional Relationships

Students deepen their understanding of ratios to investigate proportional relationships, in order to solve multi-step, real-world ratio problems using new strategies that rely on proportional reasoning.

Operations with Rational Numbers

Students extend the operations of addition, subtraction, multiplication, and division to include positive and negative rational numbers, and build fluency with evaluating numerical expressions.

Numerical and Algebraic Expressions

Students manipulate expressions into different equivalent forms as they expand, factor, add, and subtract numerical and algebraic expressions and face authentic real-world, multi-step problems.

Equations and Inequalities

Students solve equations and inequalities with rational numbers, and encounter real-world situations that can be modeled and solved using equations and inequalities.

Percent and Scaling

Students expand on and apply their understanding of percentages by studying percent increase and decrease, percent applications such as tax and simple interest, and scaled geometric drawings.

Students apply algebraic and proportional reasoning skills to investigate angle relationships, circle measurements, uniqueness of triangles, and solid figure application problems.

Students investigate how to use sampling to make inferences about larger populations of interest, engaging in hands-on activities to select random samples and to compare samples of different sizes.

Probability

Students have their first encounter with probability, as they develop their understanding of probability through calculating theoretical probabilities and designing and running their own simulations.

How Do Students Build 7th Grade Math Skills Across Units?

In Unit 1, Proportional Relationships , students begin the year by recalling familiar concepts of ratios and unit rates from sixth grade. They work with more complicated unit rates involving fractions and investigate the concept of proportionality. Using tables, equations, and graphs, students compare proportional relationships and nonproportional relationships and the contexts under which they arise.

In Unit 2, Operations with Rational Numbers , students learn that the properties of operations they use with whole numbers, fractions, and decimals apply to all rational numbers, including negative numbers. Developing a strong conceptual understanding and procedural ability to work with rational numbers is critical to students’ algebra progression in middle school. These standards are covered early in the year in order for students to continue to hone them and apply them throughout the year.

In Unit 3, Numerical and Algebraic Expressions , and Unit 4, Equations and Inequalities , students use their number sense skills learned in the previous unit to evaluate expressions, generate equivalent expressions, and efficiently solve equations and inequalities. Students become increasingly more adept at modeling situations, decontextualizing situations in order to represent them algebraically, and then recontextualizing to interpret their meaning.

Unit 5, Percent and Scaling , reengages students with the concept of proportionality from Unit 5, but this time they investigate and solve problems involving percent and scale drawings. This unit is placed later in the year, rather than immediately after Unit 1, in order for students to utilize and apply the skills they’ve learned in Units 2–4.

In Unit 6, Geometry , students further their study of measuring two-dimensional and three-dimensional figures by finding volume, surface area, and angle measures. They study triangles in depth and are introduced to constructions which they will revisit in high school geometry.

Lastly, students end the year with two units, Unit 7, Statistics , and Unit 8, Probability . In their Statistics unit, students find and use statistical measures to compare distributions and make inferences about populations. As students engage in probability concepts, they lean on their understandings of ratio and proportions learned earlier in the year.

Note that this course follows the 2017 Massachusetts Curriculum Frameworks, which include the Common Core Standards for Mathematics.

7th Grade Math FAQs

What math skills do students learn in 7th grade.

In seventh grade, students extend their work with ratios to include varied types of proportional relationships, apply the properties of operations to all rational numbers, and deepen their understanding of equations and inequalities.

What Common Core Math Standards do students focus on in 7th grade?

The major work of the course focuses on the following Common Core State Standards:

• 7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems. 
• 7.NS.A Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 
• 7.EE.A Use properties of operations to generate equivalent expressions. 
• 7.EE.B Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

What are the fluency expectations and culminating standards for 7th grade math?

• 7.EE.4.a: Solve word problems leading to equations of the form px + q = r and p(x + q)= r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
• 7.EE.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. (Culminating)
• 7.NS.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. (Culminating)
• 7.NS.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (Culminating)

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CBSE Worksheets for Class 7 Maths | MCQ Questions for Class 7 Maths

CBSE Worksheets for Class 7 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. CBSE Class 7 Maths Worksheet for students has been used by teachers & students to develop logical, lingual, analytical, and problem-solving capabilities. So in order to help you with that, we at WorksheetsBuddy have come up with Kendriya Vidyalaya Class 7 Maths Worksheets for the students of Class 7. All our CBSE NCERT Class 7 Maths practice worksheets are designed for helping students to understand various topics, practice skills and improve their subject knowledge which in turn helps students to improve their academic performance. These chapter wise test papers for Class 7 Maths will be useful to test your conceptual understanding.

Board: Central Board of Secondary Education(www.cbse.nic.in) Subject: Class 7 Maths Number of Worksheets: 85

CBSE Class 7 Maths Worksheets PDF

All the CBSE Worksheets for Class 7 Maths provided in this page are provided for free which can be downloaded by students, teachers as well as by parents. We have covered all the Class 7 Maths important questions and answers in the worksheets which are included in CBSE NCERT Syllabus. Just click on the following link and download the CBSE Class 7 Maths Worksheet. CBSE Worksheets for Class 7 Math can also use like assignments for Class 7 Maths students.

• MCQ Questions for Class 7 Maths
• Grade 7 Integers Worksheets
• Grade 7 Fractions and Decimals Worksheets
• Grade 7 Data Handling Worksheets
• Grade 7 Simple Equations Worksheets
• Grade 7 Lines and Angles Worksheets
• Grade 7 The Triangles and its Properties Worksheets
• Grade 7 Congruence of Triangles Worksheets
• Grade 7 Comparing Quantities Worksheets
• Grade 7 Rational Numbers Worksheets
• Grade 7 Practical Geometry Worksheets
• Grade 7 Perimeter And Area Worksheets
• Grade 7 Algebraic Expressions Worksheets
• Grade 7 Exponents and Powers Worksheets
• Grade 7 Symmetry Worksheets
• Grade 7 Visualising Solid Shapes Worksheets

CBSE Worksheets for Class 7 Maths Algebraic

• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 1
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 2
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 3
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 4

CBSE Worksheets for Class 7 Maths Comparing Quantities

• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment

CBSE Worksheets for Class 7 Maths Congruence of Triangles

• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 1
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 2
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 3
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 4
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 5

CBSE Worksheets for Class 7 Maths Data Handling

• CBSE Worksheets for Class 7 Maths Data Handling Assignment 1
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 2
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 3
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 4
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 5
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 6
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 7

CBSE Worksheets for Class 7 Maths Exponents & Powers

• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 1
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 2
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 3
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 4
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 5
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 6
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 7
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 8
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 9

CBSE Worksheets for Class 7 Maths Fractions and Decimals

• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 1
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 2
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 3
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 4
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 5
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 6
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 7
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 8
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 9

CBSE Worksheets for Class 7 Maths Integers

• CBSE Worksheets for Class 7 Maths Integers Assignment 1
• CBSE Worksheets for Class 7 Maths Integers Assignment 2
• CBSE Worksheets for Class 7 Maths Integers Assignment 3
• CBSE Worksheets for Class 7 Maths Integers Assignment 4
• CBSE Worksheets for Class 7 Maths Integers Assignment 5
• CBSE Worksheets for Class 7 Maths Integers Assignment 6
• CBSE Worksheets for Class 7 Maths Integers Assignment 7

CBSE Worksheets for Class 7 Maths Lines and Angles

• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 1
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 2
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 3
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 4
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 5
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 6

CBSE Worksheets for Class 7 Maths Perimeter and Area

• CBSE Worksheets for Class 7 Maths Perimeter and Area Assignment 1
• CBSE Worksheets for Class 7 Maths Perimeter and Area Assignment 2

CBSE Worksheets for Class 7 Maths Rational Numbers

• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 1
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 2
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 3
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 4
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 5
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 6

CBSE Worksheets for Class 7 Maths Simple Equations

• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 1
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 2
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 3
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 4

CBSE Worksheets for Class 7 Maths symmetry

• CBSE Worksheets for Class 7 Maths symmetry Assignment

CBSE Worksheets for Class 7 Maths Triangle and its Properties

• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 1
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 2
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 3
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 4
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 5
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 1
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 2
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 3

Class 7 Maths Worksheets

• CBSE Worksheets for Class 7 Mathematics Assignment 1
• CBSE Worksheets for Class 7 Mathematics Assignment 2
• CBSE Worksheets for Class 7 Mathematics Assignment 3
• CBSE Worksheets for Class 7 Mathematics Assignment 4
• CBSE Worksheets for Class 7 Mathematics Assignment 5
• CBSE Worksheets for Class 7 Mathematics Assignment 6
• CBSE Worksheets for Class 7 Mathematics Assignment 7
• CBSE Worksheets for Class 7 Mathematics Assignment 8
• CBSE Worksheets for Class 7 Mathematics Assignment 9
• CBSE Worksheets for Class 7 Mathematics Assignment 10
• CBSE Worksheets for Class 7 Mathematics Assignment 11
• CBSE Worksheets for Class 7 Mathematics Assignment 12
• CBSE Worksheets for Class 7 Mathematics Assignment 13
• CBSE Worksheets for Class 7 Mathematics Assignment 14
• CBSE Worksheets for Class 7 Mathematics Assignment 15
• CBSE Worksheets for Class 7 Mathematics Assignment 16

Advantages of CBSE Class 7 Maths Worksheets

• By practising NCERT CBSE Class 7 Maths Worksheet , students can improve their problem solving skills.
• Helps to develop the subject knowledge in a simple, fun and interactive way.
• No need for tuition or attend extra classes if students practise on worksheets daily.
• Working on CBSE worksheets are time-saving.
• Helps students to promote hands-on learning.
• One of the helpful resources used in classroom revision.
• CBSE Class 7 Maths Workbook Helps to improve subject-knowledge.
• CBSE Class 7 Math Worksheets encourages classroom activities.

Worksheets of CBSE Class 7 Maths are devised by experts of WorksheetsBuddy experts who have great experience and expertise in teaching Maths. So practising these worksheets will promote students problem-solving skills and subject knowledge in an interactive method. Students can also download CBSE Class 7 Maths Chapter wise question bank pdf and access it anytime, anywhere for free. Browse further to download free CBSE Class 7 Maths Worksheets PDF .

Now that you are provided all the necessary information regarding CBSE Class 7 Maths Worksheet and we hope this detailed article is helpful. So Students who are preparing for the exams must need to have great solving skills. And in order to have these skills, one must practice enough of Class 7 Math revision worksheets . And more importantly, students should need to follow through the worksheets after completing their syllabus.  Working on CBSE Class 7 Maths Worksheets will be a great help to secure good marks in the examination. So start working on Class 7 Math Worksheets to secure good score.

CBSE Worksheets For Class 7

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Class 7 Mathematics Assignments

We have provided below free printable Class 7 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 7 Mathematics . These Assignments for Grade 7 Mathematics cover all important topics which can come in your standard 7 tests and examinations. Free printable Assignments for CBSE Class 7 Mathematics , school and class assignments, and practice test papers have been designed by our highly experienced class 7 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Class 7 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 7. Students can click on the links below and download all Pdf Assignments for Mathematics class 7 for free. All latest Kendriya Vidyalaya Class 7 Mathematics Assignments with Answers and test papers are given below.

Mathematics Class 7 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 7 Mathematics . Students and teachers can download and save all free Mathematics assignments in Pdf for grade 7th. Our expert faculty have covered Class 7 important questions and answers for Mathematics as per the latest syllabus for the current academic year. All test papers and question banks for Class 7 Mathematics and CBSE Assignments for Mathematics Class 7 will be really helpful for standard 7th students to prepare for the class tests and school examinations. Class 7th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 7 Mathematics Download in Pdf

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Advantages of Class 7 Mathematics Assignments

• As we have the best and largest collection of Mathematics assignments for Grade 7, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics textbooks for Class 7 .
• All Mathematics assignments for Class 7 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 7 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics chapter wise worksheets and assignments for free in Pdf
• Class 7 Mathematics question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 7 Mathematics students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Class 7 which you can download in Pdf

We provide here Standard 7 Mathematics chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics in Grade 7, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Grade 7 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 7 for all subjects. You can download them all and use them offline without the internet.

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NCERT Solutions For Class 7 Maths

Ncert solutions for class 7 maths cbse 2023-24 edition – free pdf download.

NCERT Solutions for Class 7 Maths are provided here. Practising NCERT Solutions is the ultimate need for students who intend to score good marks in Maths examinations. Students facing trouble in solving problems from the NCERT textbook of Class 7 can refer to our free NCERT Solutions  provided below.

Students are advised to practise Class 7th NCERT Solutions, which are available in PDF format, as it helps them understand the basic concepts easily. For students who feel stressed searching for the most comprehensive and detailed NCERT Solutions for Class 7 , we at BYJU’S have prepared step-by-step solutions with detailed explanations. These exercises are prepared by our expert tutors to assist you in your exam preparation and help you attain good marks in the subject.

NCERT Solutions Class 7 Maths (Chapter-Wise)

The following chapters have been removed from the NCERT Class 7 Maths textbook 2023-24.

Congruence of Triangles

Practical Geometry

In addition, students are given access to additional online study materials and resources, available in BYJU’S website, such as notes, books, question papers, exemplar problems, worksheets, etc. Students are also advised to practice Class 7 Sample Papers to get an idea of the question paper pattern in the final exam.

NCERT Exercise-Wise Solutions for Class 7 Maths

Students are advised to go through these NCERT Solutions for Class 7 . All the solutions are in line with the CBSE guidelines and presented in a stepwise manner so that students can understand the logic behind every problem while practising.

Chapter 1 Integers

Chapter 1 involves the study of Integers. In the previous classes, we have learnt about whole numbers and integers. Now, we will study more about integers , their properties and operations. Likewise, the addition and the subtraction of the integers, properties of addition and subtraction of integers, multiplication and division of integers, properties of multiplication and division of integers.

Here you can find exercise solution links for the topics covered in this chapter.

Also, access the following resources for Class 7 Chapter 1 Integers  at BYJU’S:

• Integers Class 7 Notes: Chapter 1
• RD Sharma Solutions For Class 7 Maths Chapter – 1 Integers
• NCERT Exemplar Solutions for Class 7 Maths Chapter 1 Integers

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With this, you’d have solutions to all the exercises for Chapter 1 – Integers, in your class 7 NCERT textbook. You’d have also been able to access the notes for the chapter, along with solutions for exercises in the RD Sharma book, and NCERT Exemplar through the links above. 

However, if you want to learn each concept at your own pace with striking visuals, you should try BYJU’S The Learning App!

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• Summary cards to help you revise formulae
• Important questions
• Practice tests
• 24 X 7 access to learning resources

BYJU’S The Learning App for class 7 also teaches Physics, Biology, Chemistry, Geography, Civics, and History.

Click here to know more about why BYJU’S The Learning App is the best app for learning math.

Chapter 2 Fractions and Decimals

Chapter 2 of NCERT textbook, deals with Fractions and Decimals. You have learnt about fractions and decimals along with the operations of addition and subtraction on them, in earlier classes. We will now study the operations of multiplication and division on fractions as well as on decimals.

Likewise, multiplication of a fraction by a whole number , multiplication of a fraction by a fraction, division of the whole number by a fraction, division of a fraction by a whole number, multiplication of decimal by 10,100, 100, etc. Other topics are multiplication of decimal by whole number, multiplication of decimal by a decimal, division of decimals by 10, 100, 1000, etc., and dividing a decimal by the whole number.

Also, access the following resources for Class 7 Chapter 2 Fractions and Decimals  at BYJU’S:

• Fractions and Decimals Class 7 Notes: Chapter 2
• NCERT Exemplar Solutions for Class 7 Maths Chapter 2 Fractions and Decimals
• RD Sharma Solutions For Class 7 Maths Chapter 3 – Decimals
• RD Sharma Solutions For Class 7 Maths Chapter – 2 Fractions

Chapter 3 Data Handling

Chapter 3 of NCERT textbook deals with Data Handling. In your previous classes, you have dealt with various types of data. You have learnt to collect data, tabulate and put it in the form of bar graphs. Now in this chapter, we will take one more step towards learning how to do this. This chapter covers topics like collecting data, organisation of data, representative values, arithmetic mean , mode of large data, median, use of bar graphs with a different purpose, choosing scale, chance and probability.

Here, you can find exercise solution links for the topics covered in this chapter.

Also, access the following resources for Class 7 Chapter 3 Data Handling  at BYJU’S:

• Data Handling Class 7 Notes: Chapter 3
• RD Sharma Solutions for Class 7 Maths Chapter 23 – Data Handling – II Central Values
• NCERT Exemplar Solutions for Class 7 Maths Chapter 3 Data Handling

Chapter 4 Simple Equations

Chapter 4, Simple Equations of NCERT textbook deals with setting up an equation and solving an equation. By solving more equations, we shall learn transposing a number, i.e., moving it from one side to the other. We can transpose numbers instead of adding or subtracting it from both sides of the equations . Then we study from solution to an equation, applications of simple equations to practical situations.

Also, access the following resources for Class 7 Chapter 4 Simple Equations  at BYJU’S:

• Simple Equations Class 7 Notes: Chapter 4
• NCERT Exemplar Solutions for Class 7 Maths Chapter 4 Simple Equations
• RD Sharma Solutions For Class 7 Maths Chapter – 8 Linear Equations in One Variable

Chapter 5 Lines and Angles

This chapter is about Lines and Angles. This chapter includes related angles, complementary angles, supplementary angles, adjacent angles, linear pair , vertically opposite angles, pairs of lines, intersecting lines, transversal, the angle made by a transversal, transversal of parallel lines and checking of parallel lines.

Also, access the following resources for Class 7 Chapter 5 Lines and Angles  at BYJU’S:

• Lines and Angles Class 7 Notes: Chapter 5
• RD Sharma Solutions for Class 7 Maths Chapter 14 Lines And Angles
• NCERT Exemplar Solutions for Class 7 Maths Chapter 5 Lines and Angles

Chapter 6 The Triangle and Its Properties

Chapter 6 of NCERT textbook discusses the topic The Triangle and Its Properties. Triangle is a simple closed curve made of three line segments. It has three vertices, three sides and three angles. It covers the concepts median of a triangle, altitude of a triangle, exterior angle of a triangle and its property, angle sum property of a triangle, two special triangles – equilateral and isosceles, the sum of the lengths of two sides of a triangle, right-angled triangles and Pythagoras property.

Also, access the following resources for Class 7 Chapter 6 The Triangle and Its Properties  at BYJU’S:

• Triangles and Its Properties Class 7 Notes: Chapter 6
• RD Sharma Solutions for Class 7 Maths Chapter 15 Properties of Triangles
• NCERT Exemplar Solutions for Class 7 Maths Chapter 6 Triangles

Chapter 7 Congruence of Triangles

This chapter is about the Congruence of Triangles. If two figures have exactly the same shape and size, they are said to be congruent. Other related topics are congruence of plane figures, congruence among line segments, congruence of angles, congruence of triangles , criteria for congruence of triangles, congruence of right-angled triangles.

Also, access the following resources for Class 7 Chapter 7 Congruence of Triangles  at BYJU’S:

• Congruence of Triangles Class 7 Notes: Chapter 7
• RD Sharma Solutions for Class 7 Maths Chapter 16 Congruence

Chapter 8 Comparing Quantities

Chapter 8 of NCERT textbook deals with the Comparing Quantities. Its related topics are equivalent ratios, percentage   – another way of comparing quantities, the meaning of percentage, converting fractional numbers to a percentage, converting decimals to a percentage, converting percentages to fractions or decimals. Other interesting topics are fun with estimation, interpreting percentages, converting percentages to how many, ratios to percents, increase or decrease as per cent, profit or loss as a percentage, charge given on borrowed money or simple interest.

Also, access the following resources for Class 7 Chapter 8 Comparing Quantities  at BYJU’S:

• Comparing Quantities Class 7 Notes: Chapter 8
• NCERT Exemplar Solutions for Class 7 Maths Chapter 7 Comparing Quantities
• RD Sharma Solutions for Class 7 Maths Chapter 12 Profit And Loss

Chapter 9 Rational Numbers

Chapter 9 of NCERT textbook discusses the topic of Rational Numbers. It covers positive and negative rational numbers, rational numbers on a number line, rational numbers in standard form, comparison of rational numbers, rational numbers between two rational numbers and operations on rational numbers.

Also, access the following resources for Class 7 Chapter 9 Rational Numbers  at BYJU’S:

• Rational Numbers Class 7 Notes: Chapter 9
• RD Sharma Solutions For Class 7 Maths Chapter – 4 Rational Numbers
• NCERT Exemplar Solutions for Class 7 Maths Chapter 8 Rational Numbers

Chapter 10 Practical Geometry

Chapter 10 of NCERT textbook discusses the topic of Practical Geometry. You are familiar with a number of shapes. You learnt how to draw some of them in the earlier classes. For example, you can draw a line segment of a given length, a line perpendicular to a given line segment, an angle, an angle bisector , a circle etc. Now, you will learn how to draw parallel lines and some types of triangles. Topics covered in this chapter are the construction of a line parallel to a given line, through a point not on the line, construction of different types of triangles.

Also, access the following resources for Class 7 Chapter 10 Practical Geometry  at BYJU’S:

• Practical Geometry Class 7 Notes: Chapter 10
• NCERT Exemplar Solutions for Class 7 Maths Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes
• RD Sharma Solutions for Class 7 Maths Chapter 17 Constructions

Chapter 11 Perimeter and Area

This chapter is about Simple Interest. In Class 6, you have already learnt perimeters of plane figures and areas of squares and rectangles. Perimeter is the distance around a closed figure while the area is the part of a plane or region occupied by the closed figure. In this class, you will learn about perimeters and areas of a few more plane figures.

Also, access the following resources for Class 7 Chapter 11 Perimeter and Area  at BYJU’S:

• Perimeter and Area Class 7 Notes: Chapter 11
• NCERT Exemplar Solutions for Class 7 Maths Chapter 9 Perimeter and Area
• RD Sharma Solutions for Class 7 Maths Chapter 20 Mensuration – I (Perimeter and area of rectilinear figures)

Chapter 12 Algebraic Expressions

In Chapter 12, Algebraic Expressions of NCERT textbook deals with terms of an expression, coefficients, like and unlike terms, monomials, binomials, trinomials, polynomials , addition and subtraction of algebraic expressions, finding the values of an expression.

Also, access the following resources for Class 7 Chapter 12 Algebraic Expressions  at BYJU’S:

• Algebraic Expressions Class 7 Notes: Chapter 12
• NCERT Exemplar Solutions for Class 7 Maths Chapter 10 Algebraic Expressions
• RD Sharma Solutions For Class 7 Maths Chapter – 7 Algebraic Expressions

Chapter 13 Exponents and Powers

Chapter 13 of NCERT textbook discusses the topic Exponents and Powers. Exponents are the product of rational numbers multiplied several times by themselves. Some of the concepts covered here are laws of exponents, multiplying powers with the same base, dividing powers with the same base, taking power of a power, multiplying powers with the same exponents , dividing powers with the same exponents, decimal number system, expressing large numbers in the standard form.

Also, access the following resources for Class 7 Chapter 13 Exponents and Powers  at BYJU’S:

• Exponents and Powers Class 7 Notes: Chapter 13
• NCERT Exemplar Solutions for Class 7 Maths Chapter 11 Exponents and Powers
• RD Sharma Solutions For Class 7 Maths Chapter – 6 Exponents

Chapter 14 Symmetry

This chapter is about Symmetry. Symmetry means that one shape becomes exactly like another when you move it in some way, turn, flip or slide. For two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation from the first. There can also be symmetry in one object, such as a face. Topics covered in this chapter are lines of symmetry for regular polygons, rotational symmetry , line symmetry and rotational symmetry.

Also, access the following resources for Class 7 Chapter 14 Symmetry  at BYJU’S:

• Symmetry Class 7 Notes: Chapter 14
• RD Sharma Solutions for Class 7 Maths Chapter 18 Symmetry

Chapter 15 Visualising Solid Shapes

In Chapter 15, Visualising Solid Shapes of NCERT textbook deals with the plane figures and solids, faces, edges, vertices, nets for building 3-D shapes, drawing solids on a flat surface, oblique sketches, isometric sketches. Some more concepts covered in this chapter are visualising solid objects , viewing different sections of a solid, then another way is by shadow play.

Also, access the following resources for Class 7 Chapter 15 Visualising Solid Shapes  at BYJU’S:

• Visualising Solid Shapes Class 7 Notes: Chapter 15
• RD Sharma Solutions for Class 7 Maths Chapter 19 Visualising Solid Shapes

The NCERT Solutions are considered one of the best resources to master Maths. The solutions given here are in well-structured format with different shortcut methods to ensure a proper understanding of the concept and scoring good marks in Maths.

Benefits of Class 7 Maths NCERT Solutions

These solutions are prepared by expert tutors.

• NCERT Class 7 Solutions are explained step by step in a comprehensive manner.
• Chapter-wise and Exercise-wise solutions are also given in PDF format, which students can download for free and access offline.
• Formulas are mentioned in between steps to help students recall them easily.
• Apart from clearing doubts, these solutions also give in-depth knowledge about the respective topics.

Keep visiting BYJU’S to get more updated learning materials and download the BYJU’S app for a better and personalized learning experience, along with engaging video lessons.

Frequently Asked Questions on NCERT Solutions for Class 7 Maths

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Balbharati Solutions for Mathematics 7th Standard Maharashtra State Board

Maharashtra state board 7th standard maths solutions guide.

Shaalaa.com provides the Maharashtra State Board 7th Standard Maths Solutions Digest. Shaalaa is undoubtedly a site that most of your classmates are using to perform well in exams.

You can solve the 7th Standard Maths Book Solutions Maharashtra State Board textbook questions by using Shaalaa.com to verify your answers, which will help you practise better and become more confident.

Maharashtra State Board 7th Standard Maths Textbook Solutions

Questions and answers for the 7th Standard Maths Textbook are on this page. Balbharati Solutions for 7th Standard Maths Digest Maharashtra State Board will help students understand the concepts better.

Balbharati Solutions for 7th Standard Maths Chapterwise List | 7th Standard Maths Digest

The answers to the Balbharati books are the best study material for students. Listed below are the chapter-wise Balbharati Maths 7th Standard Solutions Maharashtra State Board.

•  • Chapter 1: Geometrical Constructions
•  • Chapter 2: Multiplication and Division of Integers
•  • Chapter 3: HCF and LCM
•  • Chapter 4: Angles and Pairs of Angles
•  • Chapter 5: Operations on Rational Numbers
•  • Chapter 6: Indices
•  • Chapter 7: Joint Bar Graph
•  • Chapter 8: Algebraic Expressions and Operations on Them
•  • Chapter 9: Direct Proportion and Inverse Proportion
•  • Chapter 10: Banks and Simple Interest
•  • Chapter 11: Circle
•  • Chapter 12: Perimeter and Area
•  • Chapter 13: Pythagoras’ Theorem
•  • Chapter 14: Algebraic Formulae - Expansion of Squares
•  • Chapter 15: Statistics
•  • Chapter 16: Miscellaneous Problems : Set 1
•  • Chapter 17: Miscellaneous Problems : Set 2
• SSC (English Medium) 7th Standard Maharashtra State Board

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Balbharati 7th Standard solutions for other subjects

• Balbharati solutions for English 7th Standard Maharashtra State Board
• Balbharati solutions for General Science 7th Standard Maharashtra State Board
• Balbharati solutions for Geography 7th Standard Maharashtra State Board
• Balbharati solutions for Hindi - Sulabhbharati 7th Standard Maharashtra State Board [हिंदी - सुलभभारती ७ वीं कक्षा]
• Balbharati solutions for History and Civics 7th Standard Maharashtra State Board
• Balbharati solutions for Marathi - Sulabhbharati 7th Standard Maharashtra State Board [मराठी - सुलभभारती इयत्ता ७ वी]

Chapters covered in Balbharati Solutions for Mathematics 7th Standard Maharashtra State Board

Balbharati solutions for 7th standard mathematics (class 7) chapter 1: geometrical constructions, balbharati 7th standard mathematics (class 7) chapter 1: geometrical constructions exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 2: Multiplication and Division of Integers

Balbharati 7th standard mathematics (class 7) chapter 2: multiplication and division of integers exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 3: HCF and LCM

Balbharati 7th standard mathematics (class 7) chapter 3: hcf and lcm exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 4: Angles and Pairs of Angles

Balbharati 7th standard mathematics (class 7) chapter 4: angles and pairs of angles exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 5: Operations on Rational Numbers

Balbharati 7th standard mathematics (class 7) chapter 5: operations on rational numbers exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 6: Indices

Balbharati 7th standard mathematics (class 7) chapter 6: indices exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 7: Joint Bar Graph

Balbharati 7th standard mathematics (class 7) chapter 7: joint bar graph exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 8: Algebraic Expressions and Operations on Them

Balbharati 7th standard mathematics (class 7) chapter 8: algebraic expressions and operations on them exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 9: Direct Proportion and Inverse Proportion

Balbharati 7th standard mathematics (class 7) chapter 9: direct proportion and inverse proportion exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 10: Banks and Simple Interest

Balbharati 7th standard mathematics (class 7) chapter 10: banks and simple interest exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 11: Circle

Balbharati 7th standard mathematics (class 7) chapter 11: circle exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 12: Perimeter and Area

Balbharati 7th standard mathematics (class 7) chapter 12: perimeter and area exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 13: Pythagoras’ Theorem

Balbharati 7th standard mathematics (class 7) chapter 13: pythagoras’ theorem exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 14: Algebraic Formulae - Expansion of Squares

Balbharati 7th standard mathematics (class 7) chapter 14: algebraic formulae - expansion of squares exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 15: Statistics

Balbharati 7th standard mathematics (class 7) chapter 15: statistics exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 16: Miscellaneous Problems : Set 1

Balbharati 7th standard mathematics (class 7) chapter 16: miscellaneous problems : set 1 exercises.

Balbharati Solutions for 7th Standard Mathematics (Class 7) Chapter 17: Miscellaneous Problems : Set 2

Balbharati 7th standard mathematics (class 7) chapter 17: miscellaneous problems : set 2 exercises.

Maharashtra State Board Class 7 Maths Solutions | Maths Digest STD 7

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Milwaukee Brewers designate pitcher Dallas Keuchel for assignment

Milwaukee Brewers’ Dallas Keuchel (60) hands the ball to manager Pat Murphy, left, as he is taken out during the fourth inning of a baseball game against the Washington Nationals, Saturday, July 13, 2024, in Milwaukee. (AP Photo/Aaron Gash)

Milwaukee Brewers’ Dallas Keuchel pitches during the first inning of a baseball game against the Washington Nationals, Saturday, July 13, 2024, in Milwaukee. (AP Photo/Aaron Gash)

Milwaukee Brewers’ Dallas Keuchel pitches during the third inning of a baseball game against the Washington Nationals, Saturday, July 13, 2024, in Milwaukee. (AP Photo/Aaron Gash)

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MILWAUKEE (AP) — The Dallas Keuchel experiment in Milwaukee appears to be over.

The one-time Cy Young Award winner, acquired from Seattle in late June for cash, was designated for assignment Sunday. Keuchel gave up five consecutive hits to open the fourth inning as the Brewers let an early five-run lead slip away in a 6-5 loss to the Nationals on Saturday.

In four starts with the Brewers, Keuchel posted a 5.40 ERA, allowing 10 runs and 23 hits in 16 2/3 innings, without a decision. The 36-year-old left-hander made it past the fourth inning just once, allowing two runs on four hits in 5 1/3 innings in his second start against Colorado.

Milwaukee staked Keuchel to a 5-0 lead in the first Saturday, be he was lifted after allowing five hits and three runs without an out in the fourth inning, giving up eight hits overall in a 65-pitch outing.

The Brewers are expecting several injured pitchers to return after the All-Streak break, which contributed to the decision.

“Obviously, Dallas is a great pedigree and what he did, he kept us in a lot of games,” Brewers general manager Matt Arnold said Sunday. “He did a really good job for us. ... I think it comes down to the number of players we have coming back.”

The Brewers have seven days to either work out a trade involving Keuchel or see if clears waivers. Keuchel also can reject an outright assignment and opt to become a free agent.

“We spoke to him last night,” Arnold said. “He was great, he’s a real pro. Obviously, we want what’s best for him.”

Keuchel, who won the 2015 AL Cy Young with Houston, was 7-4 with a 3.93 ERA this season with the Mariner’s Triple-A affiliate Tacoma, when he was acquired by Milwaukee.

Keuchel pitched in 10 games, including six starts, with Minnesota in 2023, with a 2-1 record and 5.97 ERA. In 2022, he was 2-9 with a 9.20 ERA in 14 starts with three different teams.

Keuchel is 103-92 with 4.04 ERA in his 13-year major league career, with two All-Star appearances. He was 20-8 with a 2.43 ERA with Houston in 2015 when he won the Cy Young.

AP MLB: https://apnews.com/hub/mlb