The following patterns of huts are made using matchsticks. How many huts will be involved in a pattern having 111 matchsticks?

Given, When one hut is formed, the number of matchsticks used = 6 . When two huts are formed, the number of matchsticks used is = 11 When three huts are formed, the number of matchsticks used = 16 So, here the variable used is the number of huts Thus, the general expression used to find the number of matchsticks in terms of number of huts is ( 5 n + 1 ) . Now here, we need to find for what term of n , we know that, the number of matchsticks used are 111 . ⇒ 5 n + 1 = 111 ⇒ 5 n = 110 ⇒ n = 110 5 = 22 Hence, for making 22 huts, we need 111 matchsticks.

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6th CBSE

IMPORTANT

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The following patterns of huts are made using matchsticks.

Write down the rule to find the number of matchsticks in a pattern involving $n$ huts.

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Important Questions on Introduction of Algebra

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>THINKING SKILLS>Q 1

The following patterns of huts are made using matchsticks.

Question Image

How many huts will be involved in a pattern having $111$ matchsticks?

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>THINKING SKILLS>Q 2

Complete the table given below, based on the pattern of dots and line segment. Also generalise and find the expression for the number of dots and segment used in case of $n$ squares.

Question Image

Number of squares	$1$	$2$	$3$	$4$	$5$	$10$	$n$
Number of dots	$4$	$8$			$20$
Number of line segment	$4$	$9$

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>THINKING SKILLS>Q 3

You are taking some friends for a movie and want to treat them with pizza. The cost of the movie ticket is

₹ 120

and the pizza costs

₹ 30

. Let

n

represents the number of friends then write an expression for the total amount you will spend.

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>THINKING SKILLS>Q 3

You are taking some friends for a movie and want to treat them with pizza. The cost of the movie ticket is $₹ 120$ and the pizza costs $₹ 30$ . Let $n$ represents the number of friends. If $n = 5$ , what will be your total expenditure in rupees?

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>VALUES AND LIFE SKILLS>Q 1

Munny, Bunny and Sunny are participating in a race. Munny is

20 m

ahead of Sunny, Bunny is

15 m

behind Sunny. If

p

is the position of Sunny on the racing track, what are the positions of Munny and Bunny? Why should you not get upset, if you are not the winner of a competition?

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>VALUES AND LIFE SKILLS>Q 2

Ranjan starts from Delhi at

6 : 00

am for Dehradun. If the speed of his car is

v km / hr

and he observes at

11 : 00

am that he is just

50 km

from Dehradun, find the distance between Delhi and Dehradun in terms of

v

. What is the importance of using a seat belt, while travelling in a car?

HARD

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>VALUES AND LIFE SKILLS>Q 3

If Rohan spends $₹ x$ every day and saves $₹ y$ every week, what is his income in (₹) three weeks? How can you help your parents by saving money?

EASY

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 11 - Introduction of Algebra>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Leela is Radha's younger sister. Leela is

4

years younger than Radha. If the Leela's age in terms of Radha's age is

k

years, then find the value of

k

. (Take Radha's age to be

x

years).

The following patterns of huts are made using matchsticks. Write down the rule to find the number of matchsticks in a pattern involving n huts.

Important Questions on Introduction of Algebra

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The following patterns of huts are made using matchsticks.

Write down the rule to find the number of matchsticks in a pattern involving $n$ huts.