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

**Solution:**

We use the concept of algebra to find the rule which gives the number of matchsticks required to make the given matchsticks patterns.

Matchsticks pattern can be formed by multiplying the number of sticks it requires to form the alphabet.

Let the number of letters be represented as 'n'.

a) T is formed using only two sticks.

∴ The pattern of the letter T is 2n, where n = number of T

b) Z is formed using three sticks.

∴ The pattern of the letter Z is 3n, where n = number of Z

c) U is formed using three sticks.

∴ The pattern of the letter U is 3n, where n = number of U

d) V is formed using only two sticks.

∴ The pattern of the letter V is 2n, where n = number of V

e) E is formed using five sticks.

∴ The pattern of the letter E is 5n, where n = number of E

f) S is formed using five sticks.

∴ The pattern of the letter S is 5n, where n = number of S

g) A is formed using six sticks.

∴ The pattern of the letter A is 6n, where n = number of A

NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.1 Question 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 (b) A pattern of letter Z as Z (c) A pattern of letter U as U (d) A pattern of letter V as V (e) A pattern of letter E as E (f) A pattern of letter S as S (g) A pattern of letter A as A

**Summary:**

Matchsticks pattern can be formed by multiplying the number of sticks it requires to form the letters with the variable n where n represents the number of letters. The patterns of the letters (a) T (b) Z (c) U (d) V (e) E (f) S (g) A requires (a) 2n (b) 3n (c) 3n (d) 2n (e) 5n (f) 5n and (g) 6n respectively.

**ā Related Questions:**

- We Already Know The Rule For The Pattern Of Letters L C And F Some Of The Letters From Ql Given Above Give Us The Same Rule As That Given By L Which Are These Why Does This
- 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 5n Is The Rule Which Gives The Number Of Cadets
- If There Are 50 Mangoes In A Box How Will You Write The Total Number Of Mangoes In Terms Of The Number Of Boxes
- The Teacher Distributes 5 Pencils Per Students Can You Tell How Many Pencils Are Needed Given The Number Of Students

visual curriculum