HSC Worked Solutions
07
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projectmaths.com.au
Chris started to make this
pattern of shapes using
matchsticks. If the pattern
of shapes is continued,
which shape would use
exactly 486 matchsticks?
(A) Shape 96
(B) Shape 97
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(C) Shape 121
(D) Shape 122
C
Summarise the diagram of shapes using a table:
Shape
1
2
3
The pattern is
Matchsticks
6
10
14
Matchsticks
486
484
4  Shape
Shape
= 4  Shape + 2
= 4  Shape + 2
= 4  Shape
= 484
= 484  4
= 121
 Shape 121 would use 486 matchsticks
* These solutions have been provided by projectmaths and are not supplied or endorsed by the Board of Studies
HSC examination papers © Board of Studies NSW for and on behalf of the Crown in right of State of New South Wales
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