Algebra, STD2 A2 2017 HSC 20 MC
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 100 matches in total are available?
A. `25`
B. `24`
C. `21`
D. `20`
Algebra, STD2 A2 2007 HSC 18 MC
Algebra, STD2 A2 2011 HSC 23b
Sticks were used to create the following pattern.
The number of sticks used is recorded in the table.
- Draw Figure 4 of this pattern. (1 mark)
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- How many sticks would be required for Figure 100? (1 mark)
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- Is it possible to create a figure in this pattern using exactly 543 sticks?
Show suitable calculations to support your answer. (2 marks)
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