Consecutive Seven
Consecutive Seven printable worksheet
Start with the numbers from $0$ - $20$:
Can you arrange these numbers into seven sets of three numbers, so that the totals of the sets are consecutive?
For example, one set might be $\{2, 7, 16\}$
$2 + 7 + 16 = 25$
another might be $\{4, 5, 17\}$
$4 + 5 + 17 = 26$
As $25$ and $26$ are consecutive numbers these sets might be part of your solution.
Once you've found a solution, here are some questions you might like to consider:
- Is there more than one possible set of seven consecutive totals? How do you know?
- Is there more than one way to make the seven totals?
- Could you make seven sets that all had the same total?
- Could you make seven sets whose totals went up in twos? Or threes? Or...
Click here for a poster of this problem.
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