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

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

(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) For T:

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 :

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 :

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 :

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 :

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 :

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 :

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?

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.

(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.

Solution:

(a) Clearly, from the figure:

Thus, rule is as under:

Number of matchsticks = 3x +1, where x is the number of squares,

(b) Clearly, from the figure :

Thus, rule is as under: ,

Number of matchsticks = 2x +1, where x is the number of triangles.

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