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Quandaries & Queries
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 Topic: patterns
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4 digit strings using the digits 1, 2, 3 and 4 2015-06-14
From Gary:
What is the number of possible combinations using the following fact pattern?
A. Each combination must have 4 numbers.
B. The possible numbers to choose from are 1, 2, 3, 4
C. The numbers can be included in the combination more than once. For example, it can be 1111.

Is it possible to generate a schedule of the possibilities?

A sequence 2010-01-27
From Haku:
if there are 8 dots in the first shape, 13 in the second, 19 in the third, and 26 in the fourth, then what is the formula?
Sum of Digits 2008-07-24
From Warren:
If 100^25-25 is written in decimal notation, what is the sum of digits?
Mathilda and Matthew 2005-12-18
From A student:

Question: 1) The average of 12 is 5. The average of of 8 of these numbers ia 6. What is the average of the other four.

2)Mathilda is playing a mathematical game with Matthew. Each player starts from a point, then moves in a straight line to a second point,then to a third and so on. The moves are not made randomly, but are determined by a mathematical rule. The object of the game is to find the rule. It is Mathilda's turn to move on the grid . She starts at point M (3,9), moves to point N (2,4) and then to point O (0,0). Given Mathilda's rule, what could be the coordinates of the next point to which she might move?

111111...111 divided by 3 2005-11-14
From Jesus:
If we divide the number 1111...........1( it has got 2004 digits) by 3. How many zeros will we get?. The answer that I have found in the book is 667 but I do not know how to reached it.
Frieze patterns 2004-05-19
From Christina:
How can I prove that there are only seven unique geometric frieze patterns?
Two equations 2003-08-21
From Jennifer:

The following problems have me stuck and any help would be greatly appreciated seeing my text book is doing me no favours:

32a+1 - 283a + 9=0
and
52m - 5m=20

AABBBCCCCAABBBCCCC... 2003-02-09
From Patty:
The pattern AABBBCCCCAABBBCCCC continuously repeats. What is the 2003rd letter in the pattern? Please help, I am trying to figure out.
A pattern in a table 2002-11-14
From Thamar:
how do you solve for pattern in a table like

 the top row is the bottom row is 2 6 12 17 z 9 13 19 24 blank

question ask in each blank space write a rule to find the next number in the table

Find the pattern 2001-09-26
From A parent:
MY SON HAD ON A WORKSHEET WHAT I HAVE LISTED BELOW, BUT WE CAN'T SEEM TO FIND THE PATTERN. MOST THE TIME WE CAN, BUT THIS ONE IS DIFFERENT.

6,___, 9,____,____,_____,_____,_____

Factoring 2000-09-12
From Melissa:
I would like you to help me factor (x 6-y 6) & (a+b)2+3(a+b)-4
Patterning and Sequencing 2000-07-05
From Michael Jellis:
What would be the next two terms?

1.0,0.5,0.6,0.75,0.8,___,____

please explain!!! I am completely baffled and need all the help I can get!

The units digit of 3 to the 58th power 2000-05-10
From Kylie Mcalpine:
the questions we have been asked are what is the units digit of the following:

a) 358
b) 2358
c) 1731

and the harder question of:

what is the units digit of the following sum: 13841 + 17508 + 24617 = ???????

Answered by Paul Betts and Penny Nom.
Inductive reasoning pattern 1999-09-13
From Greg Walsh:
What are the next 2 rows of the pattern?

3
13
1113
3113
2123
112213
312213

Patterns 1999-01-07
From Melis Kalay:
I'm confused about questions like these:

1. 2by2by2 cube:

If this cube was painted blue on the outside,

• how many cubes would have 3 blue faces
• 2 blue faces
• 1 blue face
• 0 blue faces

Answered by Jack LeSage and Penny Nom.
Geometry patterns lesson plans 1998-12-31
From Vicki:
hi,,, my name is Vicki and I am a new 5th grade teacher....

Anyway, I'm supposed to come up with a lesson plan to

• Explore patterns that result from cominations of "reflections, rotations, and translations of geometric figures.
The plan is to include:
• writing/metacognition, assessment strategies, interdisciplanary connections, supplemental materials, or textbook, and Bloom's taxonomy level.

Thanks