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Auditorium Steps

Age 7 to 14 Challenge Level:

Zaynab
 from Parkhill Junior School wrote:


First of all I calculated how many squares there were of each colour.
Working out how many squares there were in the top part was the hardest as I had to make sure that I didn't overlap the squares.

In total there were:
Outer sides: 128 squares
Bottom: 64 squares
Top: 192 squares.

Within the top section, the colours were as follows:
Orange: 40
Green: 40
Purple: 64

I reduced the scale factor, and divided everything by 4. That way I could make a reasonably sized model. I drew it onto squared paper, then recreated it to make sure everything fit. I did this so that I could visualise it, as if I were really wrapping the auditorium.

 

Matthew from Dulwich College Suzhou in China sent in this picture:

 


Saksham from Hounslow Town Primary School sent in this picture:

 
 

Thank you for these good solutions that probably tested your visualising skills.