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Class 6 Mathematics Algebra Assignments

We have provided below free printable Class 6 Mathematics Algebra Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 6 Mathematics Algebra . These Assignments for Grade 6 Mathematics Algebra cover all important topics which can come in your standard 6 tests and examinations. Free printable Assignments for CBSE Class 6 Mathematics Algebra , school and class assignments, and practice test papers have been designed by our highly experienced class 6 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Algebra Class 6 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Algebra Class 6. Students can click on the links below and download all Pdf Assignments for Mathematics Algebra class 6 for free. All latest Kendriya Vidyalaya Class 6 Mathematics Algebra Assignments with Answers and test papers are given below.

Mathematics Algebra Class 6 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 6 Mathematics Algebra . Students and teachers can download and save all free Mathematics Algebra assignments in Pdf for grade 6th. Our expert faculty have covered Class 6 important questions and answers for Mathematics Algebra as per the latest syllabus for the current academic year. All test papers and question banks for Class 6 Mathematics Algebra and CBSE Assignments for Mathematics Algebra Class 6 will be really helpful for standard 6th students to prepare for the class tests and school examinations. Class 6th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 6 Mathematics Algebra Download in Pdf

Advantages of Class 6 Mathematics Algebra Assignments

• As we have the best and largest collection of Mathematics Algebra assignments for Grade 6, 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 Algebra textbooks for Class 6 .
• All Mathematics Algebra assignments for Class 6 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 6 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics Algebra chapter wise worksheets and assignments for free in Pdf
• Class 6 Mathematics Algebra question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 6 Mathematics Algebra students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Algebra Class 6 which you can download in Pdf

We provide here Standard 6 Mathematics Algebra 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 Algebra in Grade 6, 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 Algebra Grade 6 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 6 for all subjects. You can download them all and use them offline without the internet.

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Algebra Assignment Worksheet for Class 6 PDF with Answers

These Algebra Assignment Worksheet for Class 6 PDF can be helpful for both teachers and students. Teachers can track their student’s performance in the chapter Algebra Assignment. Students can easily identify their strong points and weak points by solving questions from the worksheet. Accordingly, students can work on both weak points and strong points. 

All students studying in CBSE Class 6th, need to practise a lot of questions for the chapter Algebra Assignment. Students can easily practise questions from the Algebra Assignment problems worksheet PDF. By practising a lot of questions, students can improve their confidence level. With the help of confidence level, students can easily cover all the concepts included in the chapter Algebra Assignment. 

Algebra Assignment Worksheet for Class 6 with Solutions

Solutions is the written reply for all questions included in the worksheet. With the help of Algebra Assignment worksheets with solutions, students can solve all doubts regarding questions. Students can have deep learning in the chapter Algebra Assignment by solving all their doubts. By solving doubts, students can also score well in the chapter Algebra Assignment. 

Algebra Assignment Worksheet PDF

Worksheet is a sheet which includes many questions to solve for Class 6th students. The Algebra Assignment worksheet PDF provides an opportunity for students to enhance their learning skills. Through these skills, students can easily score well in the chapter Algebra Assignment. Students can solve the portable document format (PDF) of the worksheet from their own comfort zone. 

How to Download the Algebra Assignment Worksheet PDF? 

To solve questions from the Algebra Assignment Worksheet for Class 6 PDF, students can easily go through the given steps. Those steps are- 

• Open Selfstudys website.

• Bring the arrow towards CBSE which can be seen in the navigation bar. 

• Drop down menu will appear, select KVS NCERT CBSE Worksheet. 

• A new page will appear, select class 6th from the given list of classes. 
• Select Mathematics from the given list of subjects. Now click the chapter’s name that is Algebra Assignment. 

Features of the Algebra Assignment Worksheet PDF

Before starting to solve questions from the Algebra Assignment problems worksheet PDF, students need to know everything about the worksheet. Those features are- 

• Variety of questions are included:  The Algebra Assignment Maths Worksheet for Class 6 includes varieties of questions. Those varieties of questions are- one mark questions, two mark questions, three mark questions, etc. 
• Solutions are provided:  Doubts regarding each question can be easily solved through the solutions given. Through solving questions, a student's comprehensive skill can be increased. 
• All concepts are covered:  By solving questions from the Algebra Assignment problems worksheet, students can easily cover all the concepts included in the chapter.  
• Created by Expert:  These worksheets are personally created by the subject experts. These Algebra Assignment worksheet pdf are created with proper research. 
• Provides plenty of questions:  The Algebra Assignment worksheet provides plenty of questions to practise. Through good practice, students can get engaged in the learning process. 

Benefits of the Algebra Assignment Worksheet PDF

With the help of Algebra Assignment problems worksheet PDF, students can easily track their performance. This is the most crucial benefit, other than this there are more benefits. Those benefits are- 

• Builds a strong foundation:  Regular solving questions from the worksheet can help students to build a strong foundation. Through the strong foundation, students can score well in the chapter Algebra Assignment. 
• Improves speed and accuracy:  While solving questions from the chapter Algebra Assignment, students need to maintain the speed and accuracy. Speed and accuracy can be easily maintained and improved by solving questions from the Algebra Assignment worksheet PDF. 
• Acts as a guide:  Algebra Assignment worksheets with solutions acts as guide for both the teachers and students. Through the worksheet, teachers can guide their students according to the answers given by them. Students can also analyse themselves with the help of answers and can improve accordingly. 
• Enhances the learning process:  Regular solving of questions from the worksheet can help students enhance their learning process. According to the learning skills, students can easily understand all topics and concepts included in the chapter Algebra Assignment.  
• Improvisation of grades:  Regular solving of questions from the worksheet can help students to improve their marks and grades. With the help of good marks and good grades, students can select their desired field further. 

Tips to Score Good Marks in Algebra Assignment Worksheet

Students are requested to follow some tips to score good marks in the Algebra Assignment Worksheet for Class 6. Those tips are-

• Complete all the concepts:  First and the most crucial step is to understand all the concepts included in the chapter Algebra Assignment.  
• Practise questions:  Next step is to practise questions from the Algebra Assignment problems worksheet. Through this students can identify all types of questions: easy, moderate, difficult, etc.  
• Note down the mistakes:  After practising questions, students need to note down the wrong sums that have been done earlier. 
• Rectify the mistakes:  After noting down the mistakes, students need to rectify all the mistakes made. 
• Maintain a positive attitude:  Students are requested to maintain a positive attitude while solving worksheets. By maintaining a positive attitude, students can improve speed and accuracy while solving the worksheets. 
• Remain focused:  Students need to remain focused while solving questions from the Algebra Assignment problems worksheet pdf. As it helps students to solve the questions as fast as possible. 

When should a student start solving the Algebra Assignment Worksheet for Class 6 PDF?

Students studying in Class 6 should start solving worksheets after covering each and every concept included in the chapter. Regular solving questions from the Algebra Assignment worksheet PDF, can help students to have a better understanding of the chapter. Better understanding of the chapter Algebra Assignment can help students to score well in the Class 6th board exam. 

Regular solving questions from the #Algebra Assignment Worksheet for Class 6 Worksheet PDF can help students to build a strong foundation for the chapter Algebra Assignment. Strong foundation of the chapter Algebra Assignment can help students to understand further chapters. 

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Class vi math, class 6 algebra, introduction to algebra, constant and variables, algebraic expressions, terms of algebraic expression, coefficient of a term, like and unlike terms, polynomials in one variable, degree of a polynomial.

Algebra Test

Algebra Worksheet

Answer Sheet

It is branch of mathematics in which we use literal numbers and statements symbolically. Literal numbers can be positive or negative, they are variables.

In algebra, we use two types of symbols, that is constants and variables.

A symbol which has a fixed value is known as Constant . For example 5, -2, 0, 2 ⁄ 5 , 5 ⁄ 3 , etc. are constant.

A symbol (letter) which can be given various numerical values is known as variable . As variables are usually denoted by letters, so it is also known as literal / literal numbers . Let's have a look at some examples.

In 2n, 2 is constant and 'n' is variable. But, together 2n is a variable. When n = 1, 2n = 2 x 1 = 2 When n = 2, 2n = 2 x 2 = 4 When n = 3, 2n = 2 x 3 = 6 So, when 'n' takes various values , 2n also change accordingly.

Similarly, n + 2, n −3, 5 −n , 2 ⁄ n and n ⁄ 5 are variables.

Hence a combination of constant and variable is also a variable.

A collection of constants and literals (variables) connected by one or more arithmetic operations is called an algebraic expression. Let's see some examples.

The various part of an algebraic expression separated by + / − sign are known as terms of the algebraic expression. Let's have a look at some examples.

Any factor of a term of an algebraic expression is called coefficient of the remaining factor of the term. Let's see some examples.

Let's consider the below given expression. 6abc + 4ab² − 4 In the term 6abc, Numerical coefficient = 6 Literal coefficient = abc Coefficient of a = 6bc

The terms having same literal coefficients are called like terms, otherwise, the terms are called unlike terms. Let's see some examples.

2xy, 3xy, 4xy, 5xy, −xy, 2 ⁄ 3 xy are like terms. 2m, 4mn, 3m²n are unlike terms.

An algebraic expression of the form a + bx + cx² + ..., where a, b, c, ... are constants and 'x' is a variable, is known as a polynomial in the variable 'x'. Let's see some examples.

i) 3 + 4x is a polynomial in 'x' of degree 1. ii) 2 − 3y + 5y² is a polynomial in 'y' of degree 2.

The degree of each term in a polynomial is the sum of the exponents of variables of the term and the degree of the polynomials is the greatest of the degrees of its terms. Let's see some examples.

Example 1. Find out the degree in the given polynomial.         3 + 4x Solution. In 3 + 4x, the degree of two terms 3 and 4x are 0 and 1 respectively. The degree of the polynomials is 1.

Example 2. Find out the degree in the given polynomial.         5y² + 3y − 2 Solution. In 5 y² + 3y −2, the degree of 3 terms 2, 1 and 0 respectively. So, the degree of the polynomial is 2.

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Assignments Class 6 Mathematics Algebra Pdf Download

Students can refer to Assignments for Class 6 Mathematics Algebra available for download in Pdf. We have given below links to subject-wise free printable Assignments for Mathematics Algebra Class 6 which you can download easily. All assignments have a collection of questions and answers designed for all topics given in your latest NCERT Books for Class 6 Mathematics Algebra for the current academic session. All Assignments for Mathematics Algebra Grade 6 have been designed by expert faculty members and have been designed based on the type of questions asked in standard 6 class tests and exams. All Free printable Assignments for NCERT CBSE Class 6, practice worksheets, and question banks have been designed to help you understand all concepts properly. Practicing questions given in CBSE NCERT printable assignments for Class 6 with solutions and answers will help you to further improve your understanding. Our faculty have used the latest syllabus for Class 6. You can click on the links below to download all Pdf assignments for class 6 for free. You can get the best collection of Kendriya Vidyalaya Class 6 Mathematics Algebra assignments and questions workbooks below.

Class 6 Mathematics Algebra Assignments Pdf Download

CBSE NCERT KVS Assignments for Mathematics Algebra Class 6 have been provided below covering all chapters given in your CBSE NCERT books. We have provided below a good collection of assignments in Pdf for Mathematics Algebra standard 6th covering Class 6 questions and answers for Mathematics Algebra. These practice test papers and workbooks with question banks for Class 6 Mathematics Algebra Pdf Download and free CBSE Assignments for Class 6 are really beneficial for you and will support in preparing for class tests and exams. Standard 6th students can download in Pdf by clicking on the links below.

Subjectwise Assignments for Class 6 Mathematics Algebra

Benefits of Solving Class 6 Mathematics Algebra Assignments

• The best collection of Grade 6 assignments for Mathematics Algebra have been provided below which will help you in getting better marks in class tests and exams.
• The solved question for Class 6 Mathematics Algebra will help you to gain more confidence to attempt all types of problems in exams
• Latest NCERT Books for Class 6 Mathematics Algebra have been referred to for designing these assignments
• We have provided step by step solutions for all questions in the Class 6 assignments so that you can understand the solutions in detail.
• We have provided single click download links to all chapterwise worksheets and assignments in Pdf.
• Class 6 practice question banks will support to enhance subject knowledge and therefore help to get better marks in exam

FAQs by Mathematics Algebra Students in Class 6

At https://www.ncertbooksolutions.com is the best website that has the biggest collection of free printable assignments for Class 6 Mathematics Algebra.

We provide here Standard 6 subject-wise assignments which can be easily downloaded in Pdf format for free. Our teachers have provided these Grade 6 Mathematics Algebra test sheets for Mathematics Algebra given in your books.

You can click on the links above and get assignments for Mathematics Algebra in Grade 6, all chapters and topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here subject-wise Grade 6 Mathematics Algebra question banks, revision notes and questions for all difficult topics, and other study material. You can download it all without any charge by clicking on the links provided above.

We have provided the best quality question bank for Class 6 for Mathematics Algebra available for Pdf Download. You can download them all and use them offline without the internet.

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• Algebra for Class 6

Everything about Algebra

We have become acquainted with arithmetic operations on numbers, integers, and fractions. We have also studied different 2 dimensional and 3-dimensional figures. This was geometry which deals with the study of shapes now let us study another branch of Mathematics and that is algebra. Algebra is the branch of mathematics that deals with the study of mathematical symbols and rules for manipulating these symbols. Algebra Class 6 will help you get acquainted with the basics of algebra.

Algebra generally deals with letters that are expressed in the general form.it will help you to find the unknown values easily without computing the whole equation every time. Letters are treated as numbers so that all the operations can be carried out on them. So let us understand algebra class 6 in more detail.

Introduction to Algebra Class 6

We will be discussing the basics of algebra in the introduction to algebra class 6. Let us see some important concepts used in Algebra class 6,

Consider, 

____ + 4 = 9 

 here we get 5 as the answer in the place of blank, but in algebra, we cannot write such blank space so we consider a letter x or y or a or b any letter in place of unknown values. Such that

So this letter x which is unknown to us is said to be a variable . A variable can be any letter from a to z. Using letters instead of unknown values makes it easier to find more unknown values either by writing blank spaces.

Variables are the letters used to express the unknown values. It keeps on changing.

Constants are the values that remain constant or a symbol that has any fixed numeric value .

Algebraic Expression: 

A set of variables, constants, and mathematical operations forms an algebraic expression.

We know that variables have different values, they have no fixed value. They are numbers, that is why operations of addition,  subtraction,  multiplication, and division can be done on them.

Example:  3x + 4

Algebraic Equation

An equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division balanced by an equal sign.

On the left side of the equation is the left-hand side(LHS) and the right side of the equation is the right-hand side(RHS). LHS and RHS are balanced by the same values.

Example: x + 4 = 7, where x = 3.

Algebra Formula Class 6

Here is the list of all the algebra formula class 6. It will make you solve your algebraic equations more easily.

Operations Used in Algebra

In algebra different operations used are addition, subtraction, multiplication, and division

Let a and b are two variables they can be written as-

Addition : a + b

Subtraction: a – b

Multiplication: a x b or a*b or ab 

Division: x/y or x÷y  

Some Common Rules for Algebraic Expressions

Algebraic expression class 6 have some common rules they are commutative property of addition when adding two variables the order of adding the variable doesn't change the sum of the equation. let a and b are two variables the commutative property states that, a + b = b + a. commutative property of multiplication interchanging the order of numbers in multiplication does not change the product. consider  variables a and b as in the case of addition, we can express the commutativity of multiplication of two numbers as- a x b = b x a distributive multiplication over the addition of numbers.  let a,b, and c be three variables, then, a × (b + c) = a × b + a × c let us see some examples for algebraic expressions class 6, solved examples.

Algebraic expressions class 6 examples

Q. Write algebraic expressions for the following statements.

1. Ram is younger than Ramesh by 2 years.

Solution: Let Ramesh’s age be x years

Then algebraic expression will be

Ram’s age is (x - 2) years

2. The price of wheat per kg is 10 less than the price of rice per kg.

Solution: Let the price of rice be x rs per kg

Then the algebraic expression will be

The price of wheat is (x-10)rs per kg

Q.Find the number if 20 is taken away from 5 times a number is 30.

Let ‘n‘ be the number.

The expression for 20 is taken away from  5 times of a number is 30.

5n – 20 = 30

5n = 30 - 20

Therefore, we get the number 2.

Here are some algebra questions for class 6

The length of a rectangular hall is 8 meters less than 2 times the breadth of the hall. What is the length, if the breadth is b meters?

Give expressions for the following cases.

9 is added to a.

7 subtracted from a

a multiplied by 7

a divided by 7

Solve more algebra questions for class 6 to master the basics of algebra.

Algebra is one the most important aspects of the discipline of Maths. Many fundamental problems of Maths are solved by Algebra, and hence the students are required to learn Algebra from the early Classes. Because many things that happen in our day-to-day life can easily be understood by Algebra, even the small things like profit and loss are somehow related to Algebra. And hence, the same topics are included in the Class 6 Maths syllabus.

Though Algebra is a completely practical subject, it still has theories to understand, because theories lead to practice. And hence it is important for the students to learn the theories of Algebra. But more often than not students may find the theories rather difficult to understand, and therefore decide to skip them, which ultimately results in poor understanding of the subject. And since the Algebra of Class 6 plays a fundamental role in the life of the students, skipping it, that is to say, Algebra is not a good idea at all.

To avoid all these problems, it is important for the students to have a good explanation of all the topics of Algebra in a simple and lucid language, that can be easily understood by the Class 6 Maths students. And hence Vedantu provides the same to the students of Class 6.

An Overview of the Algebra

To explain Algebra in the simplest manner possible, then we can say that Algebra is the study of the symbols of Mathematics and the rules that can manipulate these symbols. Algebra is the thread that unifies almost the whole of Mathematics. From elementary equation solving to the study of abstraction, Algebra includes all. The basic part of Algebra is known as elementary Algebra. And this elementary Algebra is an essential part of not only Mathematics, but also science, Engineering, and even medicines and economics.

Elementary Algebra also differs from arithmetic, specifically in the use of abstractions, because Algebra uses symbols or letters to represent a number that is unknown. We can take the example of here the letters x is unknown but by using the simple knowledge of Algebra we can substitute the 2 from the 6, and hence we can determine the value of x which is in this case 4. Algebra also provides a way for writing the formulas in such a manner that it becomes easy to understand and solve.

The word Algebra comes from the Arabic word “al-jabr” it means “the reunion of the parts which are broken” it was first used in the book title of the Persian Mathematician by the name of Muhammad ibn Musa al-Khwarizmi, who is also regarded as the father of Algebra.

If you wish to learn more about Algebra in detail then you may like to follow this link .

FAQs on Algebra for Class 6

1. I find Algebra difficult to understand. Can I skip it?

No, you should never skip anything from Algebra, because it is one of the most important aspects of Mathematics, so much so that many of the Mathematical problems cannot be solved without the use of Algebra. Also, Algebra is not the subject that stands in isolation, but it is interlinked with many other disciplines. If you are going to become an engineer, Algebra is also there. Hence all you have to do is to study the concepts of Algebra and practice the same because then it becomes easy for you.

2. How can I make myself a master of Algebra?

If you wish to become the master of Algebra, then all you have to do is to first learn all the concepts of Algebra, and since you are in Class 6 right now, it is obvious that you should first learn all the concepts of Class 6 Algebra. After learning it all, you have to practice the questions of the same and solve the exercise given at the end of the chapter is going to be of great help for that.

3. Why should I choose Vedantu for understanding the Algebra for Class 6?

The syllabus of the Algebra which is covered in Class 6 plays the role of utmost importance in the life of students. Because many of the concepts that you are going to study in Class 6 form the foundation of Algebra and hence it is going to be helpful to you in all of your future endeavors. Therefore, the Class 6 Algebra must be explained in a manner that can easily be grasped by the students, and hence Vedantu provides such type of explanation to the students of Class 6, for the subject of Algebra, which makes it extremely easy for the students to understand and comprehend the concept of Algebra for the students.

4. Is Algebra Important?

Yes, algebra is definitely an important branch of Mathematics. It is used in countless fields. With the help of Algebra, we can generalize any equation which makes it easier to work. With the help of algebra, we can get the visual representation of an equation on the graph. The use of constants and variables makes the programming language easier. It helps in solving computerized games and puzzles. Elementary algebra is used in day-to-day life.

5. Who is the Father of Algebra?

Muhammad ibn Musa al-Khwarizmi was a 9th-century Muslim mathematician and astronomer who was known as the father of algebra. The word algebra is derived from his book entitled Kitab al-Jabr. Khwarizmi was one of the most famous scholars of Bayt-al-Hikma which was Badhdad’s intellectual powerhouse. He is also known as ‘the grandfather of computer science because he also developed the concept of the algorithm in Mathematics.

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Grade 6 Algebra Worksheets

Grade 6 maths algebra multiple choice questions (mcqs).

1. Number of matchsticks required to make a pattern of “T”: (a) 5 (b) 2 (c) 3 (d) 4

2. Number of matchsticks required to make a pattern of “U”: (a) 5 (b) 2 (c) 3 (d) 4

3. Number of matchsticks required to make a pattern of “Z”: (a) 5 (b) 2 (c) 3 (d) 4

4. Number of matchsticks required to make a pattern of “A”: (a) 5 (b) 6 (c) 3 (d) 4

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

8. x + y = y + x is (a) Commutative property (b) Associative property (c) Closure property (d) Distributive property

9. How many variables are used in the expression 2x + 3y + 5? (a) 1 (b) 2 (c) 3 (d) 5

10. The expression for the statement: “y multiplied by 10 and then 7 added to product”. (a) 10 + y + 7 (b) 7y + 10 (c) 10y + 7 (d) 10y

11. What is the statement for the expression 2y – 9? (a) 2y subtracted from 9 (b) 9 subtracted from 2y (c) 9 subtracted from 9 (d) thrice of y minus 9

12. p = 3 is a solution of equation: (a) 2p + 5 = 17 (b) 5p + 2 = 17 (c) 2p + 17 = 5 (d) 5p + 17 = 2

14. a × (b + c) = a × b + a × c is (a) Commutative property under addition (b) Associative property under multiplication (c) Distributive property of multiplication over addition (d) Closure property

15. Which of the following is an equation? (a) x – 3 > 0 (b) x + 3 < 0 (c) x (d) x + 3 = 0

16. The value of variable in the expression is: (a) fixed (b) not fixed (c) zero (d) one

17. The value of p – q + pq for p = -1, q = -2 is: (a) 0 (b) 1 (c) -5 (d) 3

18. Write the statements “If you subtract 5 from 6 times a number, you get 7.” in the form of equations: (a) 6x – 5 = 7 (b) 5x – 6 = 7 (c) x – 5 = 7 (d) x – 6 = 7

19. Which is a solution of the equation 3x – 14 = 4? (a) x = 2 (b) x (c) x = 4 (d) x = 6

20. Write the statements “If you take away 6 from 6 times a number, you get 60” in the form of equations: (a) 6x + 6 = 60 (b) 6x – 6 = 60 (c) x – 6 = 60 (d) none of these

Class 6 Maths Algebra Fill In The Blanks

1. The distance (in km) travelled in h hours at a constant speed of 40km per hour is …………….. . 2. ‘x ’ exceeds y by 7 can be expressed as ……………. . 3. The number of days in w weeks is ………………. . 4. r rupees = ……………… paise. 5. If 7x + 4 = 25, then the value of x is …………… .

Class 6 Maths Algebra Very Short Answer Type Questions

1. The price of 1 pen is ₹ 15 and price of 1 pencil is ₹ 5. Write an expression for the total amount payable for buying x pens and y pencils. 2. The side of a square is x. Express the perimeter of the square using x. 3. If the radius of circle is denoted by r, express its diameter in terms of r. 4. Express the associative property of addition of whole numbers using the variables x, y and z. 5. Give an expression for each of the following: (a) The sum of b and 9 (b) Subtract 4 from x (c) Multiply 5 by y (d) 3 more than four times a number y. (e) One-fifth of x added to the sum of a and b. 6. If x = 3, evaluate (a) 2x = …………. (b) 2x + 3 = …………. (c) 3x – 2 = ………… 7. If x = 3, y = -1, evaluate (a) 2x + y = ………… (b) 3x – y = …………. (c) 3x + 2y = ……….

Class 6 Maths Algebra Short Answer Type Questions

Class 6 Maths Algebra Long Answer Type Questions

6th grade algebra worksheet

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NCERT Solutions

• NCERT Class 6
• NCERT 6 Maths
• Chapter 11: Algebra
• Exercise 11.1

NCERT Solutions for Class 6 Maths Chapter 11 Algebra Exercise 11.1

NCERT Solutions for Class 6 Maths Chapter 11 Algebra Exercise 11.1 provides answers to the questions related to the concepts of Matchstick patterns and the ideas of variables present in this exercise. Algebra is a branch of Mathematics where the students learn about the method of using letters in the form of equations. The NCERT Solutions Class 6 Maths are created by BYJU’S faculty having vast knowledge about the concepts covered under each exercise of Chapter 11 Algebra.

• Chapter 1 Knowing our Numbers
• Chapter 2 Whole Numbers
• Chapter 3 Playing with Numbers
• Chapter 4 Basic Geometrical Ideas
• Chapter 5 Understanding Elementary Shapes
• Chapter 6 Integers
• Chapter 7 Fractions
• Chapter 8 Decimals
• Chapter 9 Data Handling
• Chapter 10 Measurement and Mensuration
• Chapter 11 Algebra
• Chapter 12 Ratio Proportion
• Chapter 13 Introduction to Symmetry
• Chapter 14 Practical Geometry Application
• Exercise 11.1 Chapter 11 Algebra
• Exercise 11.2 Chapter 11 Algebra
• Exercise 11.3 Chapter 11 Algebra
• Exercise 11.4 Chapter 11 Algebra
• Exercise 11.5 Chapter 11 Algebra

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Access NCERT Solutions for Class 6 Chapter 11: Algebra Exercise 11.1

1. Find the rule which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule.

From the figure, we observe that two matchsticks are required to make the letter T. Hence, the pattern is 2n

From the figure, we observe that three matchsticks are required to make the letter Z. Hence, the pattern is 3n

From the figure, we observe that three matchsticks are required to make the letter U. Hence, the pattern is 3n

From the figure, we observe that two matchsticks are required to make the letter V. Hence, the pattern is 2n

From the figure, we observe that 5 matchsticks are required to make the letter E. Hence, the pattern is 5n

From the figure, we observe that 5 matchsticks are required to make the letter S. Hence, the pattern is 5n

From the figure, we observe that 6 matchsticks are required to make the letter A. Hence, the pattern is 6n

2. We already know the rule for the pattern of letters L, C and F. Some of the letters from Q.1 (given above) give us the same rule as that given by L. Which are these? Why does this happen?

We know that T require only two matchsticks. So, the pattern for the letter T is 2n. Among all the letters given in question 1, only T and V are the letters which require two matchsticks. Hence, (a) and (d).

3. Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows)

Let n be the number of rows

Number of cadets in a row = 5

Total number of cadets = number of cadets in a row × number of rows

4. If there are 50 mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use b for the number of boxes.)

Let b be the number of boxes

Number of mangoes in a box = 50

Total number of mangoes = number of mangoes in a box × number of boxes

5. The teacher distributes 5 pencils per students. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)

Let s be the number of students

Pencils given to each student = 5

Total number of pencils = number of pencils given to each student × number of students

6. A bird flies 1 kilometer in one minute. Can you express the distance covered by the birds in terms of its flying time in minutes? (Use t for flying time in minutes.)

Let t minutes be the flying times

Distance covered in one minute = 1 km

Distance covered in t minutes = Distance covered in one minute × Flying time

7. Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots) with chalk powder. She has 9 dots in a row. How many dots will her Rangoli have for r rows? How many dots are there if there are 8 rows? If there are 10 rows?

Number of dots in a row = 9

Number of rows = r

Total number of dots in r rows = Number of dots in a row × number of rows

Number of dots in 8 rows = 8 × 9

Number of dots in 10 rows = 10 × 9

8. Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

Let Radha’s age be x years

Leela’s age = 4 years younger than Radha

= (x – 4) years

9. Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?

Number of laddus mother gave = l

Remaining laddus = 5

Total number of laddus = number of laddus given away by mother + number of laddus remaining

= (l + 5) laddus

10. Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box?

Number of oranges in a small box = x

Number of oranges in two small boxes = 2x

Number of oranges remaining = 10

Number of oranges in large box = number of oranges in two small boxes + number of oranges remained

11. (a) Look at the following matchstick pattern of squares (Fig 11.6). The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks

in terms of the number of squares. (Hint: If you remove vertical stick at the end, you will get a pattern of Cs)

(b) Fig 11.7 gives a matchstick pattern of triangles. As in Exercise 11 (a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.

(a) We may observe that in the given matchstick pattern, the number of matchsticks are 4, 7, 10 and 13, which is 1 more than thrice the number of squares in the pattern

Therefore, the pattern is 3x + 1, where x is the number of squares

(b) We may observe that in the given matchstick pattern, the number of matchsticks are 3, 5, 7 and 9, which is 1 more than twice the number of triangles in the pattern.

Therefore, the pattern is 2x + 1, where x is the number of triangles.

Also, explore –

NCERT Solutions for Class 6 Maths Chapter 11

NCERT Solutions for Class 6

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Assignments For Class 6 Mathematics

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