Look at the patterns made by matchsticks. Complete the tables and find a general formula.
Number of double squares (x) 1 2
Number of matchsticks (y) 7 12

Open in App

Solution

General Formula :
Number of matchsticks $(y)$ = $5 \times$ Number of double squares $(x)$ + 2
$y = 5 x + 2$
Number of double squares (x) 1 2 3 4 5 6 7 8
Number of matchsticks (y) 7 12 17 22 27 32 37 42

Suggest Corrections

Similar questions

Question 11(i)

Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint: If you remove the vertical stick at the end, you will get a pattern of Cs.)

Look at the patterns made by the matchsticks . Complete the tables and find a general formula.

Number of triangles (x)	1	2	3	4	5	6	7	8
Number of matchsticks (y)	3	6

(a) Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint: if you remove the vertical stick at the end, you will get a pattern of Cs.)

(b) The given figure gives a matchstick pattern of triangles. Find the general rule that gives the number of matchsticks in terms of the number of triangles.

Q. Look at the following matchstick pattern of squares. The squares are not separate. Two neighboring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks.

Look at the following matchstick pattern of squares (fig 11.6). The squares are not seperate . Two neighbouring squares have a common matchstick. Observethe patterns and find the rule that gives the number of matchsticks in terms of the numbers ofthe squares.( Hint : If you remove the vertical stick atthe end you will get a pattern of Cs.)

Join BYJU'S Learning Program

Number of double squares (x)	1	2	3	4	5	6	7	8
Number of matchsticks (y)	7	12	17	22	27	32	37	42

Look at the patterns made by matchsticks. Complete the tables and find a general formula.Number of double squares (x)12 Number of matchsticks (y)712

General Formula :Number of matchsticks (y) = 5×Number of double squares(x) + 2y=5x+2Number of double squares (x)12345678Number of matchsticks (y)712172227323742

Look at the patterns made by matchsticks. Complete the tables and find a general formula.
Number of double squares (x) 1 2
Number of matchsticks (y) 7 12

General Formula :
Number of matchsticks $(y)$ = $5 \times$ Number of double squares $(x)$ + 2
$y = 5 x + 2$
Number of double squares (x) 1 2 3 4 5 6 7 8
Number of matchsticks (y) 7 12 17 22 27 32 37 42