Ncert Solutions For Class 6 Maths Chapter 11 Algebra Ex 11.1 Ncert Solutions For Class 6 Maths Chapter 11 Algebra Exercise 11.1 Class 6 Maths Algebra Exercise 11.1 Class 6 Maths Chapter 11 Algebra Exercise 11.1 Class 6 Chapter 11 Exercise 11.1 Class 6 Algebra Exercise 11.1 Class 6 Maths Chapter 11 Algebra Exercise 11.4 Class 6 Chapter Algebra Exercise 11.1

## NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.1

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

**(b)** A pattern of letter Z as

**(c)** A pattern of letter U as

**(d)** A pattern of letter V as

**(e)** A pattern of letter E as

**(f)** A pattern of letter S as

**(g)** A pattern of letter A as

Solution.

**(a)** Number of matchsticks required = 2n

**(b)** Number of matchsticks required = 3n

**(c)** Number of matchsticks required = 3n

**(d)** Number of matchsticks required = 2n

**(e)** Number of matchsticks required = 5n

**(f)** Number of matchsticks required = 5n

**(g)** Number of matchsticks required = 6

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.

These letters are T and V. This happens since the number>of matchsticks require,d in each of them is 2.

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.

The number of cadets = 5n.

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.

Total number of mangoes = 50b.

Question 5.

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

Solution.

Number of pencils needed = 5s

Question 6.

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

Solution.

Yes! / kilometers

The bird flies in one minute = 1 kilometer

The bird flies in / minutes = 1 x t kilometers

= kilometers

Question 7.

Radha is drawing a dot Rangoli (a beautified 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.

∵ Number of dots in 1 row = 9

∴ Number of dots in r rows = 9 x r=9r

Number of dots in 8 rows = 9 x 8 = 72

Number of dots in 10 row = 9 x 10 = 90

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.

Yes! we can write Leela’s age in terms of Radha’s age.

Age of Radha = x years

∵ Leela is 4 years younger than Radha.

∴ Age of Leela = (x – 4) years

Question 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.

Number of laddus given away to guests and family members = l

Number of laddus remained = 5

∴ Number of laddus she made = 1 + 5

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

Solution.

Let the number of oranges in a smaller box box

∴ Number of oranges in two smaller boxes = 2x

Number of oranges remained outside = 10

∴ Number of oranges in the larger box = 2x+ 10

Question 11.

**(a)** Look at the following matchstick pattern of squares (figure). The squares are not separate. Two neighboring 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.

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

**(b)** Figure gives a matchstick pattern of triangles. Av in Exercise 11(a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.

Solution.

**(a)
**

** Rule:** Number of matchsticks required = 3x + I

where x is the number of squares.

(b)

**Rule:** Number of matchsticks required = 2x + 1,

where x is the number of triangles.