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Picturing Square Numbers
Age 11 to 14
Challenge Level 
Picturing Square Numbers printable worksheet
The diagram shows that 1 + 3 + 5 + 7 = 16.
What is the sum of the first $30$ odd numbers?
What is the sum of the first $60$ odd numbers?
Can you describe a method for working these out quickly?
Can you make $3249$ by adding odd numbers in this way?
What is the value of:
$1 + 3 + ... + 149 + 151 + 153$?
$83 + 81+ ... + 5 + 3 + 1$?
$51 + 53 + 55 + ... + 149 + 151 + 153$?
$2 + 4 + ... + 150 + 152 + 154$?
$2 + 6+ ... + 298+ 302+ 306$?
Explain how you worked these out.
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