Problem Of the Week

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Problem of the Week


Mr. Thomas Period 6 "POW"
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What Problem of the week is?

• Problem of the week is a problem that you will
  receive every Monday.
• You have to finish that problem by Friday
• You cannot use calculators.
• The problem has certain steps to follow sometimes
  you will have to use subtraction, addition,
  multiplication, division and use fractions.

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!Example!

• Kenny and Tyler went apple picking. When their
  mother asked them how many apples they picked,
  they answered her with these clues
• If the apples were counted by twos, threes or
  fives, there would be one apple left over each
  time.
• If the apples were counted by sevens, there would
  be nothing left over.
• What is the smallest number of apples they could
  have picked?

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Example 1

• Little Billy was out trick-or-treating on
  Halloween. He had gotten a lot of candy and was
  peering into his bag, when out from behind a tree
  came a mean goblin (actually it was his older
  brother, Donald). The goblin reached into Billys
  bag and took half of his candy plus one piece.
• Within a few steps, Billy encountered a nasty
  ghoul (actually it was his next-door neighbor,
  Walter) who reached into Billys sack and took
  half of his remaining candy plus two pieces.
• Before he could turn and run, a scary ghost
  (actually it was Tracy, the girl who sat behind
  him in school) took half the candy that was left
  plus three pieces. Now Little Billy began to cry
  because he only had five pieces of candy left.
• How many pieces of candy did he have before
  Donald, Walter and Tracy raided his sack?

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Example 2

• A square floor is tiled with black and white
  square tiles.
• The tiles on the two diagonals are black.
• If there are 101 black tiles in the floor, what
  is the
• total number of tiles in the floor?