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IMPORTANT

START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 1

The following patterns of huts are made using matchsticks.

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

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IMPORTANT

START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> 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.

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

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START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 3

The following patterns of huts are made using matchsticks.

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

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START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 4

Observe the following pattern of polygon made with matchsticks and complete the table. Also, write its general term.

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Number of polygons	$1$	$2$	$3$	$4$	$5$	$10$	$20$	$25$	$n$
Number of matchsticks	$5$	$9$	$. . .$	$. . .$	$. . .$	$. . .$	$. . .$	$. . .$	$. . .$

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START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 5

Observe the pattern of digit $8$ formed using matchsticks of different lengths.

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The number of matchsticks required for a pattern containing hundred $8$ 's is:

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START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 6

The rule that gives the number of matchsticks required to make the following pattern containing $n$ hexagon is:

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IMPORTANT

START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 7

Observe the following pattern of overlapping triangles made with matchsticks and complete the table. Also, write the general rule that gives the number of matchsticks.

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Number of triangles	$1$	$2$	$3$	$4$	$5$	$10$	...	$n$
Number of matchsticks	$6$	$10$	$14$	...	...	...	...	...

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IMPORTANT

START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 8

Observe the following pattern of quadrilaterals made with matchsticks and complete the table. Also, write the generalized term.

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Number of quadrilaterals	$1$	$2$	$3$	$4$	$5$	$10$	...	$n$
Number of matchsticks	$5$	$9$	$13$	...	...	...	...	...

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START UP MATHEMATICS>Introduction of Algebra>Matchstick Patterns> Q 9