Thursday, June 13, 2013

Fit Through Paper

Can you make a hole in a paper big enough to fit through it?

Here is how it can be done.
You will need an 8½ by 11 inches paper, a pen and a ruler. 
Fold the paper in half, so the shorter edges meet.

Draw lines as shown on the picture.  Does not have to be any specific thickness.  Just make sure that you do not cut the lines all the way.  Leave more or less an inch at each end.  

Cut along the lines.


Cut the folded side as shown on the picture.  Make sure you do not cut close to the edge.

Open the paper.

 See if you fit through it.

Wednesday, June 12, 2013

Roman Numerals Puzzles

A boy in Ancient Rome had a quiz.  He was so absent minded that he made a mistake in each of his equations.

When the teacher checked the quiz, he thought the boy was teasing him, since all of the equations could be corrected by moving just one of elements (I, V, X, L,C, D, M, ---).  See if you can correct the equations.  Forgot how to convert Roman Numerals?  Click here.

Roman Numerals Equation I

Roman Numerals Equation II

Roman Numerals Equation III

Roman Numerals Equation IV

Roman Numerals Equation V

Roman Numerals Equation VI


Sunday, June 9, 2013

Sunday Droodle #1

What do you see?
Share your idea.  I will post a new droodle and best ideas next Sunday.

Saturday, June 8, 2013

Nine Dots Puzzle

Draw 9 dots, as 3 by 3 matrix, see the picture below:
.     .     .
.     .     .
.     .     .


Connect all the dots with four lines, drawn without lifting up your pencil.  You are not allowed to retrace the lines.  Have fun with this puzzle.  Think outside the box.

Looking for an answer? Click the picture.


Thursday, June 6, 2013

Playing with Roman Numerals

In schools and everyday life we are using Arabic numerals, which have 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.  

Ancient Romans used letters from Latin alphabet to write numbers.   There are seven basic letters in Roman numerals: I, V, X, L, C, D, and M.   Each of the letters have certain value and by combining the letters together other numbers are created.


Roman                   Arabic 
I          1
V        5
X        10
L         50
C        100
D        500
M       1,000
How do we create the numbers?

When you write the letters together you add the values, except when the lower value proceeds the higher value. See examples below:

Roman numeral
Equivalent to
Something to keep in mind
I
1

Only I, X, C, and M
can be subtracted


I can only be subtracted from
V or X


X can only be subtracted from
L or C


C can only be subtracted from
D or M


Never subtract
V, L, and D


II
1+1=2
III
1+1+1=3
IV
5-1=4
VI
5+1=6
VII
5+1+1=7
VIII
5+1+1+1=8
IX
10-1=9
XI
10+1=11
XX
10+10=20
XXX
10+10+10=30
Xl
50-10=40
LX
50+10=60
XC
100-10=90
CXX
100+10+10=120
cXL
100+50-10=140
CC
100+100=200
CD
500-100=400
DC
500+100=600
DCC
500+100+100=700
CM
1,000-100=900
MC
1,000+100=1,100

Now the fun begins. Here are some cool examples:

DCCCLXXII
500 + 100 + 100 + 100 + 50 +10 + 10 + 1 + 1 = 872

CMLV
C before M, means 1,000 – 100 = 900,
L = 50
V = 5
900 + 50 + 5 = 955

XCIX 
X before C means 100 – 10 = 90
I before X means 10 – 1 = 9
90 + 9 = 99

How about going the other way:
994 = 900 + 90 + 4
900 = 1,000 – 100, lower value comes before higher: CM
90 = 100 – 10, lower before higher: XC
4 = 5 – 1, lower before higher: IV
CMXCIV

453 = 400 = 50 + 3
400 = 500 – 100, lower before higher: CD
50 = L
3 = III. 
CDLIII

1,640  = 1,000 + 600 + 40
1,000 = M
600 = 500 + 100, means DC
40 = 50 – 10, lower before higher:  XL
MDCXL

***
BIBLIOGRAPHY
Adler, David A., Fun With Roman Numerals, Holiday House, New York, 2008.


Wednesday, June 5, 2013

Tricky Subtraction: 8 - 4 = 7 ?!?!?!?!?!

How can you subtract four from eight to get seven?

Hint: use toothpicks.


Would you like to see the answer?




Monday, June 3, 2013

Leucadendron: Safari Sunset or Sylvan Red?

Finally I found the name of the flower/plant I was looking for.  I am a bit confused which is the proper one, since I found two names Safari Sunset and Sylvan Red.



Click below if you would like to see my original post.
When you google images you will see many variations, beautiful.

Sunday, June 2, 2013

Fun With Droodles

What is a droodle?
It is a doodle (nonsense drawing) and a riddle.
You can play guessing game what a certain picture represents.  
The funnier the better.
Try it out.

When you bring the cursor over a picture, you will see my original idea from which the picture originated.  But before you do it, please come up with your ideas.  You can share your ideas either as a comment or through an e-mail.  I use these with my class visit programs.

Have fun.

Droodle A
Droodle B
Droodle C
Droodle D

Droodle E
Droodle F
Droodle G
Droodle H
Droodle I
Droodle J

Droodles were created by Roger Price and collected in his 1953 book Droodles.
For more information go to http://en.wikipedia.org/wiki/Droodles
If you want to see more, there are many droodles on internet, just go to google images and use keyward "droodles".