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NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1

NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1.

  • Algebra Class 6 Ex 11.2
  • Algebra Class 6 Ex 11.3
  • Algebra Class 6 Ex 11.4
  • Algebra Class 6 Ex 11.5
Board CBSE
Textbook NCERT
Class Class 6
Subject Maths
Chapter Chapter 11
Chapter Name Algebra
Exercise  Ex 11.1
Number of Questions Solved 11
Category NCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1

Ex 11.1 Class 6 Maths Question 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 as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 1

(b) A pattern of letter Z as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 2
(c)
A pattern of letter U as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 3
(d)
A pattern of letter V as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 4
(e) A pattern of letter E as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 5
(f)
A pattern of letter S as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 6
(g)
A pattern of letter A as
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 7
Solution:
(a) For T:
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 8
Clearly, to make one T, we use 2 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 2n”, where n can take any value 1, 2, 3, …
(b) For Z :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 9
Clearly, to make one Z, we use 3 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 3 n”, where n can take any value 1, 2, 3, …
(c) For U :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 10
Clearly, to make one U, we use 3 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 3n”, where rt can take any value 1, 2, 3, …
(d) For V :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 11
Clearly, to make one V, we use 2 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 2n”, where n can take any value 1, 2,3,…
(e) For E :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 12
Clearly, to make one E, we use 5 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 5n”, where n can take any value 1, 2, 3, …
(f) For S :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 13
Clearly, to make one S, we use 5 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 5n”, where n can take any value 1, 2, 3, …
(g) For A :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 14
Clearly, to make one A, we use 6 matchsticks as shown in the figure. Rule is given as
“Number of matchsticks required = 6 n”, where n can take any value 1, 2, 3, …

Ex 11.1 Class 6 Maths Question 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?
Solution:
(a) and (d) parts of Q. 1. give the same rule as for L. It happens as the same number of matchsticks are being used in these cases.

Ex 11.1 Class 6 Maths Question 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:
Since, there are 5 cadets in a row and number of rows are n
∴ Rule is given as
Number of cadets in the parade = 5n

Ex 11.1 Class 6 Maths Question 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:
Since, there are 50 mangoes in a box and b is the number of boxes.
∴ Total number of mangoes = 50b

Ex 11.1 Class 6 Maths Question 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:
Since, there are s number of students and each student having 5 pencils.
∴ Total number of pencils needed = 5n

Ex 11.1 Class 6 Maths Question 6.
A bird flies 1 kilometre 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:
Since, a bird flies at 1 kilometre in one minute. If it flies for t minutes. Total distance covered by bird in t minutes = 1 x t km = t km

Ex 11.1 Class 6 Maths Question 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?
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 15

Solution:
Since, a row contains 9 dots.
Therefore, number of dots in r rows = 9 r.
Number of dots in 8 rows = 9 x 8 = 72
and, number of dots in 10 rows = 9 x 10 = 90

Ex 11.1 Class 6 Maths Question 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:
Let Radha’a age be x years. Since Radha’s younger sister Leela is 4 years younger than Radha.
∴ Leela’s age = (x – 4) year

Ex 11.1 Class 6 Maths Question 9.
Mother has made laddus. She gives some laddus to gilests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?
Solution:
Number of laddus given to guests and family members = l
Number of laddus left over = 5
Number of laddus made by mother = 1 + 5

Ex 11.1 Class 6 Maths Question 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:
Number of oranges in the larger box
= 2 x Number of oranges iR small box + oranges left over
= 2x +10
where x is. the number of oranges in the small box.

Ex 11.1 Class 6 Maths Question 11.
(a) Look at the following matchstick pattern of squares (see figure). The squares are not separate. Two neighbouring squares have a common matchstick. Observe the pattern and find the rule that gives the number of matchsticks in terms of the number of squares.
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 16
(b)
Figure 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.
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 17
Solution:
(a) Clearly, from the figure:
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 18
Thus, rule is as under:
Number of matchsticks = 3x +1, where x is the number of squares,
(b) Clearly, from the figure :
NCERT Solutions for Class 6 Maths Chapter 11 Algebra 19
Thus, rule is as under: ,
Number of matchsticks = 2x +1, where x is the number of triangles.

We hope the NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1 help you. If you have any query regarding NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1, drop a comment below and we will get back to you at the earliest.

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