Dots were used to create a pattern. The first three shapes in the pattern are shown. 
 

 The number of dots used in each shape is recorded in the table. 

How many dots would be required for Shape 182?

1. 363
2. 370
3. 546
4. 1092

Art started to make this pattern of shapes using matchsticks.
  

If the pattern of shapes is continued, which shape would use exactly 416 matchsticks?

1. Shape 83
2. Shape 103
3. Shape 104
4. Shape 138

Sticks were used to create the following pattern. 
  

The number of sticks used is recorded in the table.

1. Draw Shape 4 of this pattern.  (1 mark)
   

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2. How many sticks would be required for Shape 128?    (1 mark)
   

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3. Is it possible to create a shape in this pattern using exactly 609 sticks?

    

   Show suitable calculations to support your answer.    (2 marks)
   

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A pentagon is created using matches.

By adding more matches, a row of two pentagons is formed.

Continuing to add matches, a row of three pentagons can be formed.

Continuing this pattern, what is the maximum number of complete pentagons that can be formed if 230 matches in total are available?

1. 55
2. 56
3. 57
4. 58

Brett uses matchsticks to make a pattern of shapes, as shown in the table below.
  

   How many sticks () will be needed to make Shape Number 24?  (2 marks)