NRICH: Picturing Square Numbers
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ….. + 149 + 151 + 153?
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.
Age 11 to 14
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Resource k12
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ….. + 149 + 151 + 153?
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.
Age 11 to 14
What are you looking for?
Organization
Website URL
Type of Resource
Online Interactive Activity