Word & Math Puzzles
 


>>>>>>>>>>>>>>>    Word Puzzles      <<<<<<<<<<<<<<<<
1. The word "box" has all its letters in alphabetical order, since "o" comes after "b" and "x" comes
    after "o". Find more words with this property. What is the longest word of this type you can find?

2. The word "son" has all its letters in reverse alphabetical order, since "s" comes after "o" and "o" comes
    after "n". Find more words with this property. What is the longest word of this type you can find?

3. The word "mixes" has all its letters in alternating alphabetical order, since "m" comes after "i", but "i" comes
    before "x" etc. Find more words with this property. What is the longest word of this type you can find?

Solutions :
(The answers are written backwards so that you do not peek unwillingly)

 spolige ,ywollib ,yrrogeb ,ylifeeb , yuqolla : srettel neves .1
,sllihc ,yspoib ,snigeb ,tsomla ,sredda ,tsocca ,ssecca ,tpecca ,tnecca ,srohba ,ssebba : srettel xis
yttonk ,yssolg ,troffe ,xulffe ,yppohc ,ysoohc ,yvvihc ,yppihc ,ztnihc ,sonihc ,spmihc ,yllihc

 deillort : srettel thgie .2
degnorw ,degnops  : srettel neves
egnops ,dellor ,delior ,deloop ,dellop : srettel xis

retemirep : srettel enin .3
dednimer ,renimaxe ,retemaid : srettel thgie


>>>>>>>>>>>>>>>     Math Puzzles      <<<<<<<<<<<<<<<<

1 The teacher wrote onto the blackboard:
   This sentence has exactly x characters (including blanks).
and asked the pupils to solve for x. Easy, eh?

2. The word "four" for the number 4 has exactly four letters.
    Can you find other numbers with this property?

3. Of course the names of the numbers "one", "two, "three", and so on are quite arbitrarily chosen.
   If 2 would be called "six" and 6 would be called "two", how much would be six to the power of two?

4. Which number is three times as big as its half?

5. How much is sqrt(4+1*sqrt(4+3*sqrt(4+5*sqrt(4+7*sqrt(4+9*sqrt(..............)...) ?
 

Solutions :
(The answers are written backwards and in mixed order so that you do not peek unwillingly)

ruofytnewt .3
eerht .5  [note that  n = sqrt(4+(n-2)*(n+2)) , hence 3 = sqrt(9) = sqrt(4+5) = ....;
               the general formula  n =sqrt(k^2+(n-k)*(n+k))  leads to many similar
                infinite square roots, construct some more yourself]
enon era ereht .2
orez .4
nevesytxis = x  .1


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