# Ncert Class 6 Mathematics Solutions Chapter 11

## Ncert Class 6 Mathematics Solutions Chapter 11 Algebra

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of NCERT Class 6 Mathematics Book, Chapter 11, Algebra. Here students can easily find step by step solutions of all the problems for Algebra, Exercise 11.1 Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 11 solutions. Here all the solutions are based on NCERT latest syllabus.

Algebra Exercise 11.1 Solution :

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

(a) A pattern of letter T

(b) A pattern of letter Z

(c) A pattern of letter U

(d) A pattern of letter V

(e) A pattern of letter E

(f) A pattern of letter S

(g) A pattern of letter A

Solution :

(a) A pattern of letter T

Number of matchsticks required is 2.

Rule which matchstick pattern is 2 x n.

(b) A pattern of letter Z

Number of matchsticks required is 3.

Rule which matchstick pattern is 3 x n.

(c) A pattern of letter U

Number of matchsticks required is 3 .

Rule which matchstick pattern is 3 x n.

(d) A pattern of letter V

Number of matchsticks required is 2.

Rule which matchstick pattern is 2 x n.

(e) A pattern of letter E

Number of matchsticks required is 5.

Rule which matchstick pattern is 5 x n.

(f) A pattern of letter S

Number of matchsticks required is 5.

Rule which matchstick pattern is 5 x n.

(g) A pattern of letter A

Number of matchsticks required is 6.

Rule which matchstick pattern is 6 x n.

(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.)

Solution :

Let n be given number of rows.

Since, 5 cadets in each row.

Thus, 5n is the rule for the number of cadets, for a given 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.)

Solution :

There are 50 mangoes in a box.

We uses ‘b’ for boxes.

Total number of mangoes in terms of the number of boxes

= 50 × b

(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.)

Solution :

The teacher distributes 5 pencils per student.

We uses ‘s’ for number of students.

Pencils are needed, given the number of students

= 5 x s

(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.)

Solution :

A bird flies 1 kilometre in one minute.

We uses ’t’ for flying time in minutes.

Distance covered by the bird in terms of its flying time in minutes = t km.

(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?

Solution :

Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots) with chalk powder.

She has 9 dots in a row.

We uses’ r’ for dots in a row.

Pattern is 8 x r.

Are there if there are 8 rows,

= 8 x 8

= 64

Are there if there are 8 rows,

= 8 x 10

= 80

(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.

Solution :

Leela is Radha’s younger sister. Leela is 4 years younger than Radha.

Leela’s age in terms of Radha’s age,

We use Radha’s age to be x years.

Leela’s age in terms of Radha’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?

Solution :

She gives some laddus to guests and family members; still 5 laddus remain.

We use number of laddus mother gave away is “l”.

laddus she make = 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 x, what is the number of oranges in the larger box?

Solution :

When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside.

The number of oranges in a small box are taken to be x.

Number of oranges in the larger box

= 2x + 10

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Updated: June 26, 2023 — 9:26 am