Sulphur Springs visit

One day last week Tina went to the town of Sulphur Springs. She had her hair cut, she bought the weekly newspaper (which had been published that day), she bought some peaches at the Farmer’s Market, and she bought some shampoo at the drugstore. She also cashed a $20 check at the bank.

Now, the beauty shop is closed on Mondays, and the bank is closed on Saturdays and Sundays. The Farmer’s Market is open on Mondays, Wednesdays, and Saturdays. The drugstore is closed only on Sundays. On which day of the week was Tina in Sulphur Springs?

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Squares in Sixteen Dots

Here are 16 dots arranged as what are called lattice points. Pretend that they are trees in an orchard. If you tie a rope around some of these trees you can make squares. How many different sized squares can you make this way? (You are not asked to count how many of each size; just find all the different sizes possible.)

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