Ex 11.1 Class 6 Maths 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
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Answers
Answer:
6x
5x
2x
5x
7x
9x
7x
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Answer:
a) It is apparent from the letter T that 2 matchsticks will be required to create one T.
If we need to create 2 T, then we will require 2×2=4 match sticks, similarly for 3, 2×3=6
So if n is the number of T’s, the matchstick required will be 2×n=2n
b) It is apparent from the letter Z that 3 matchsticks will be required to create one Z.
If we need to create 2 Z, then we will require 3×2=6 match sticks, similarly for 3, 3×3=9
So if n is the number of Z’s, the matchstick required will be 3×n=3n
c) It is apparent from the letter U that 3 matchsticks will be required to create one U.
If we need to create 2 U, then we will require 3×2=6 match sticks, similarly for 3, 3×3=9
So if n is the number of U’s, the matchstick required will be 3×n=3n
d) It is apparent from the letter V that 2 matchsticks will be required to create one V.
If we need to create 2 V, then we will require 2×2=4 match sticks, similarly for 3, 2×3=6
So if n is the number of V’s, the matchstick required will be 2×n=2n
e) It is apparent from the letter E that 5 matchsticks will be required to create one E.
If we need to create 2 E, then we will require 5×2=10 match sticks, similarly for 3, 5×3=15
So if n is the number of E’s, the matchstick required will be 5×n=5n
f) It is apparent from the letter S that 5 matchsticks will be required to create one S
If we need to create 2 S, then we will require 5×2=10 match sticks, similarly for 3, 5×3=15
So if n is the number of S’s, the matchstick required will be 5×n=5n
g) It is apparent from the letter A that 6 matchsticks will be required to create one A.
If we need to create 2 A, then we will require 6×2=12 match sticks, similarly for 3, 6×3=18
So if n is the number of A’s, the matchstick required will be 6×n=6n
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