Past Challenges

 

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What is the exact decimal for the following fraction.  Hints:  it is a repeating decimal, and it has more that a few numbers that repeat.

Below is a start for you, now just finish it.

Let's try a little more difficult pie chart....  So, what does x equal?

7th grade - you might have to take a week off from this one. 

8th graders - good luck!

ALL students should be able to simplify this... 

 

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Supposedly, Albert Einstein wrote this riddle, and claimed 98% of the world population does not possess the logical thinking ability to solve it. Do you?

Facts:

  1. There are 5 houses in 5 different colors.
  2. In each house lives a person with a different nationality.
  3. These 5 owners drink a certain beverage, smoke a certain brand of cigar
    and keep a certain pet.
  4. No owners have the same pet, smoke the same brand of cigar or drink the same drink.

Clues:

  1. The Brit lives in a red house
  2. The Swede keeps dogs as pets
  3. The Dane drinks tea
  4. The green house is on the left of the white house
  5. The green house owner drinks coffee
  6. The person who smokes Pall Mall rears birds
  7. The owner of the yellow house smokes Dunhill
  8. The man living in the house right in the centre drinks milk
  9. The Norwegian lives in the first house
  10. The man who smokes Blend lives next to the one who keeps cats
  11. The man who keeps horses lives next to the man who smokes Dunhill
  12. The owner who smokes Blue Master drinks beer
  13. The German smokes Prince
  14. The Norwegian lives next to the blue house
  15. The man who smokes Blend has a neighbor who drinks water.

 

Question:  Who keeps fish as pets?

 

Last week's challenge was WAY hard, also.  Try this - what is the fraction equivalent to:

Remember the four step method to finding the fraction.....

Four men went fishing.  They caught six fish altogether.  One man caught three, another caught two, one caught one, and one didn't catch anything.  Which man caught how many fish?  What did each use for bait?
bullet1.  The one who caught two fish wasn't Sammy nor the one who used worms.
bullet2.  The one who used the flatfish didn't catch as many as Fred.
bullet3.  Dry flies were the best lure of the day, catching three fish.
bullet4.  Torkel used eggs.
bullet5.  Sammy didn't use the flatfish.

 

Every fraction can be represented by a decimal that either:
bulletterminates (ends), like 0.875       OR
bulletrepeats (never ends, but has a repeating pattern), like 0.1212121212...

bulletSo, this weeks challenge is to find the EXACT decimal for

                                   

Hint:  a calculator does not have enough digits to get the answer, so start the division process until you find the end or until it repeats.

I liked that Pie chart puzzler from last week.  Let's try a little more challenging one.

Solve for "x" given the information below.  Hint:  A pie chart adds up to 100.

The 7th grade has been working on Order of Operations and combining like terms.  Try this one....

Simplify the "fraction" below.  Remember, we don't divide fractions, we multiply the reciprocal.