Brain Teasers 15 – 6

NEW THIS WEEK:
1.  How many three digit numbers consist of only odd digits?  Is the answer the same for even digits?
2.  Why/when is FOUR half of FIVE?  (Hint:  It’s the middle half!)
3.  Using the numbers 3,3,7, and 7, along with any of the +, -, x (or *), /, and parentheses, obtain a total of 24.  (There are at least 2 ways to do this – maybe more.)
4.  If nine thousand nine hundred and nine dollars is written as $9909, how should twelve thousand twelve hundred twelve dollars be written?
HELD OVER FROM LAST WEEK:
5.  Susan and Lisa decided to bet on their tennis games over the course of one week.  They bet $1 on each game.  Susan won three bets and Lisa won $5.  How many games did they play that week?
6.  Sometimes the numbers displayed on a digital watch are in consecutive order, as in 2:34.  How many times does this happen in a 12 hour period?  (Note:  I personally think there are [at least] two different ‘correct’ answers here, depending on your definitions.  I’ll gladly take either if your explanations match.)
7.  Still on the subject of watches:  A man set two watches to the same time at midnight.  He soon discovered that one of the watches was running 2 minutes/hour too slow and the other was running 1 minute/hour too fast.  Later the same day, the faster one was exactly one hour ahead of the other one.  What time was it?
8.  What can be purchased at a hardware store that would be priced as follows (with no bulk pricing discounts)?

1    costs $1

12  costs $2

144 costs $3

9.  If we’re asked “How many squares on a standard 8 x 8 checkerboard?”, our immediate answer might be 64.  But those are just the ‘small’ squares.  🙂  There are other sized squares as well.  So, how many total squares (of any size) are there on a standard 8 x 8 checkerboard?


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