Diamond patterns III


This task is about spatial patterns and rules.
Miriam began making the diamond pattern below with matches.

She noticed a relationship between the number of diamonds and the total number of matches used, which she recorded on a chart.

Number of diamonds

1

2

3

4

5

6

7

8

Number of matches

4

7

           
 
a)
 
Complete the table above to show the number of matches used, for each diamond pattern.
  
b)
How many matches would be needed for 20 diamonds? __________ matches.
You may show your working in the space below.
 
    

    

    

    

    

    

 
c)
 
What rule did you use to find the number of matches needed for 20 diamonds?
 

 
 
 
Published on Assessment Resource Banks (https://arbs.nzcer.org.nz)