Sunday, January 3, 2010

Accelerated Math 7
From the “What kid of puzzles do your 7th graders do in class?” department…

1) There are 13 stepping stones across a stream. One of the stones is loose and anyone who steps on it will be swimming. As you stand and watch three young boys cross the stream safely. The first boy steps on the first stone, skips the second, steps on the third, and so on. The second boy steps on the first two stones, skips two, steps two, and so on. The third boy steps on the first four, skips four, and so on. Which stone is the loose one?

2) A log is cut into 4 pieces in 9 seconds. At that same rate, how long would it take to cut the log into 15 pieces?


Accelerated Math 8
From the “What kid of puzzles do your 8th graders do in class?” department…

1) If it takes Big Ben thirty seconds to chime six o’clock, how long does it take to chime twelve o’clock?

2) A woman is going to town to sell her eggs. On the way, she passes a man named Sam who buys half of her eggs plus half an egg.
The woman continues on and passes a second person named Alice who buys half of her remaining eggs plus half an egg.
Just outside of town, the woman meets her friend Harry who buys half of her eggs plus half an egg.
Just as she is entering town she meets Betty who buys half of her eggs plus half an egg.
In town, the woman again sells half of her eggs plus half an egg. This time to a person named Tom.
Also in town, she meets the minister of her church and gives the minister half of her eggs plus half an egg.
Finally the woman arrives at the market. She has exactly 1 egg.
She never broke an egg on her journey!
How many eggs did the woman start with?

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