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.

E M B I B E

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

Rahul Sofat Solutions for Chapter: Introduction of Algebra, Exercise 4: THINKING SKILLS

Author:Rahul Sofat

Rahul Sofat Mathematics Solutions for Exercise - Rahul Sofat Solutions for Chapter: Introduction of Algebra, Exercise 4: THINKING SKILLS

Attempt the free practice questions on Chapter 11: Introduction of Algebra, Exercise 4: THINKING SKILLS with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.

Questions from Rahul Sofat Solutions for Chapter: Introduction of Algebra, Exercise 4: THINKING SKILLS with Hints & Solutions

HARD

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

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

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?

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