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NCERT Solutions for Class 6 Maths Chapter 11: Algebra - Exercise 11.1

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NCERT Solutions for Class 6 Maths Chapter 11 (Ex 11.1)

Free PDF download of NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.1 (Ex 11.1) and all chapter exercises at one place prepared by an expert teacher as per NCERT (CBSE) books guidelines. Class 6 Maths Chapter 11 Algebra Exercise 11.1 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.


Class:

NCERT Solutions for Class 6

Subject:

Class 6 Maths

Chapter Name:

Chapter 11 - Algebra

Exercise:

Exercise - 11.1

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2023-24

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes



Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English,Hindi will become easy to study if you have access to NCERT Solution for Class 6 Science , Maths solutions and solutions of other subjects.

Access NCERT Solutions For Class 6 Maths Chapter 11 – Algebra

Exercise 11.1

Refer to page 1 - 8 for exercise 11.1 in the PDF

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

(a) A pattern of letter T as T


Ans: In the given below diagram we can see that there are 2 matchsticks.


A pattern of letter T

Hence, the pattern is \[2n\]

(b) A pattern of letter Z as Z


Ans: In the given below diagram we can see that there are 3 matchsticks.


A pattern of letter Z


Hence, the pattern is \[3n\]

(c) A pattern of letter U as U


Ans: In the given below diagram we can see that there are 3 matchsticks.


A pattern of letter U

Hence, the pattern is \[3n\]

(d) A pattern of letter V as V


Ans: In the given below diagram we can see that there are 2 matchsticks.


A pattern of letter V

Hence, the pattern is \[2n\]

(e) A pattern of letter E as E


Ans: In the given below diagram we can see that there are 5 matchsticks.


A pattern of letter E

Hence, the pattern is \[5n\]

(f) A pattern of letter S as S


Ans: In the given below diagram we can see that there are 5 matchsticks.


A pattern of letter S

Hence, the pattern is \[5n\]

(g) A pattern of letter R as R


Ans: In the given below diagram we can see that there are 6 matchsticks.


A pattern of letter R

Hence, the pattern is \[6n\]

2. We already know the rule for the pattern of letter 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?

Ans: We know that L requires 2 matchsticks, hence it has a pattern \[2n\]. As we solved in above questions the letter $T$ and $V$ has the same pattern \[2n\].

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) 

Ans: Let us consider that there is a $n$ number of rows.

Cadets in each row are $5$.

Hence the total number of cadets 

$ = 5n$

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) 

Ans: Let us consider that there is a $b$ number of rows.

The number of mangoes in each box is $50$.

Hence the total number of mangoes 

$ = 50b$

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

Ans: The number of students is $s$.

The number of pencils for each student is $5$.

Hence the total number of pencils needed are

$ = 5s$

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

Ans: Time taken by a bird is $t$ minutes.

The speed of a bird is 1 km per minute.

 Distance covered by bird 

$ = {\text{speed }} \times {\text{ time}} = 1 \times t = t\;km$

7. Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots with chalk powder as in figure). She has 8 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? 

Radha is drawing dot rangoli

Ans: Dots in each row is $8$.

The number of rows is $r$.

The number of dots is $8\;r$ 

If there are 8 rows, the number of dots is given by

$ = 8 \times 8 = 64\,{\text{dots}}$.

If there are 10 rows, the number of dots 

$ = 8 \times 10 = 80\,{\text{dots}}$.

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. 

Ans: Let Radha’s age be $x$ years.

Since Leela’s age is equal to 4 years younger than Radha. 

Then Leela’s age is $x - 4$ 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? 

Ans: The number of laddus given away by the mother is $l$.

Laddus remaining is $5$.

A total number of laddus is the sum of the number of laddus given away by the mother and the number of laddus remaining.

Hence, the total number of laddus is $l + 5$

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 larger x, what is the number of oranges in the box?

Ans: The number of oranges in one box is $x$.

The number of boxes is 2 

The total number of oranges inboxes is $2x$.

The remaining oranges are $10$

Hence the number of oranges $ = 2x + 10$

11. (a) Look at the following matchstick pattern of squares. 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 the vertical stick at the end, you will get a pattern of Cs.)

Matchstick Square patterns 1

Matchstick Square patterns 2

Matchstick Square patterns 3

Matchstick Square patterns 4

Ans:

(a) 4 matchsticks.

4 matchsticks

(b) 7 matchsticks.

7 matchsticks

(c) 10 matchsticks.

10 matchsticks

(c) 13 matchsticks.

13 matchsticks

Hence the required equation is $3x + 1$, where x is the number of squares.

(b) Figs. Below 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.

Matchstick Pattern of Triangles

Matchstick Pattern of Triangles

Ans: 

(a) 3 matchsticks.

3 matchsticks

(b) 5 matchsticks.

5 matchsticks

(c) 7 matchsticks.

7 matchsticks

(c) 9 matchsticks.

9 matchsticks

Hence the required equation is $2x+1$, where x is the number of triangles.

NCERT Solutions for Class 6 Maths Chapter 11 Algebra (Ex 11.1) Exercise 11.1

Opting for the NCERT solutions for Ex 11.1 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 11.1 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Subject Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 11 Exercise 11.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 11 Exercise 11.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

Do not delay any more. Download the NCERT solutions for Class 6 Maths Chapter 11 Exercise 11.1 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.

FAQs on NCERT Solutions for Class 6 Maths Chapter 11: Algebra - Exercise 11.1

1. How many questions are present in ncert solutions for class 6 maths chapter 11 Algebra?

Chapter 11 of Class 6 NCERT Algebra has the following exercise questions-

  • Exercise 11.1- 11 questions

  • Exercise 11.2- 5 questions

  • Exercise 11.3- 6 questions

  • Exercise 11.4- 3 questions

  • Exercise 11.5- 5 questions

Students can find the solutions to these questions here. The solutions provided are written in an easy manner which will help students in clarifying all their doubts.

2. How many questions have long solutions(more than 180 words) in NCERT Solutions for Class 6 Maths Chapter 11 Algebra?

Chapter 11 of Class 6 NCERT Algebra has the following long answer type exercise questions-

  • Exercise 11.1 - 2 ( 1 and 11)

  • Exercise 11.3- 1 (3)

  • Exercise 11.4 2 (1 and 3)

  • Exercise 11.5- 4 (1,2,3 and 4)

The detailed stepwise explanation prepared by subject experts to all these questions can be found on Vedantu’s website. All the material is also available on the Vedantu app. All the resources are free of cost.

3. What are variables and how are they related to an equation?

The concept of variables is very important in Algebra. A variable means something that does not have a fixed value and can vary. Variables allow us to express many rules in geometry and arithmetic. An equation is satisfied for a definite value of a variable therefore it is a condition on a variable. The solution of an equation is obtained when a variable satisfies the equation and the LHS and RHS become equal.

4. What are the important concepts in Class 6 Maths Chapter 11 Algebra?

Students learn the concept of variables and how it enables us to express relations in mathematics and geometry. Variables are numbers and therefore the common operations such as addition, multiplication. Subtraction and division can be done on them. Students also learn about equations and how to solve them. An equation has two sides, the LHS and RHS separated by an equal sign. The LHS and RHS of an equation are equal only for a definite value of a variable.

5. Why should I refer to NCERT Solutions to Chapter 11 of Class 6  Algebra?

Vedantu provides well-explained solutions designed by experts which helps students in clarifying their doubts and achieving good marks in the exams. The benefits of following the solution for this chapter are that algebra is a new concept for students and they may find it difficult to grasp.  However, the solutions provided are well organised and explained in detail step by step so that students need not be afraid of the topic but enjoy learning it.