Math - Previous POTW

Week 13    Patterns, Patterns, and more Patterns!         


Find the next two numbers or letters for each pattern and describe the rule 
for each.

a.  1, 4, 9, 16, ___, ___

b.  B, C, E, F, H, I, ___, ___

c.  100, 52, 28, 16, ___, ___

d.  Z, 1, W, 3, T, 5, ___, ___

e.  1, 5, 10, 14, 28, ___, ___

f.  .5, .8, .6, .9, .7, ___, ___

g.  at, bad, cats, _________, __________

******************************************************************************
Week 12                        When the SAINTS go marching in.

How many saints are there in the triangle below?  Remember, you must always 
descend a level for 
the next letter.

             S
          A  A
        I   I    I
    N  N  N   N
  T   T   T   T   T 
S   S   S   S   S   S

******************************************************************************
Week 11                   MISSING DIGIT CAPER

Use the clues to discover the missing digits. Explain your thinking!

                   Column 1     Column 2     Column 3

      Row 1         ?                    ?                    ?

      Row 2         ?                    ?                    ?

      Row 3         ?                    ?                    ?

 Clue 1: All numbers are one digit from 1 to 9.
 Clue 2: No number is used twice.
 Clue 3: Row 1 has all even numbers in consecutive order.
 Clue 4: The sum of the four corners equals the sum of each diagonal.
 Clue 5: Row 2 has all odd numbers. The largest and smallest numbers are 
included.
 Clue 6: The sum of column 3 is equal to 3 times the sum of column 1.
 Clue 7: The numbers in row 1 are all factors of 12.
 Clue 8: The sum of row 3 is equal to the sum of column 3.
 Clue 9: The sum of each diagonal is equal to the sum of column 3.
Clue 10: The numbers in column 1 and 3 are consecutive counting numbers but 
are not arranged in 
counting order.

******************************************************************************
Week 10		The shepherd and his sheep

	A shepherd with 6 sheep had 13 sections of fence which were arranged 
into 6 pens of identical size and shape (congruent). The arrangement is 
represented with 13 toothpicks shown on the board in your classroom. (Sorry, 
I cannot create the picture for the teacher web page.)

One evening, someone stole one of the fence sections leaving only 12. After 
thinking long and hard, the shepherd rearranged the 12 sections to form 6 
pens of identical size and shape for the sheep.

Use 12 toothpicks to show how the shepherd made the six pens. This can be 
done without any overlapping or cutting of any toothpicks. Glue or tape your 
solution onto a piece of paper.