Math puzzles come in many styles, including: numbers, arithmetic, algebra
and combinations (Sudoku, Kakuro, Coded, Towers of Hanoi, Magic Square ).
Below we will explore some of the more common math puzzles ( this list is not meant to
be all-inclusive) , most of all we hope you will enjoy the selections.
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Numbers, Arithmetic, and Algebra
Like crossword puzzles in structure, only numbers are used instead of letters.
Clues may appear in the form of historic dates( Year of Columbus' voyage to America ),
math equations ( 15 times 25), one answer may relate to another ( 3 times 4-down),
or even embedded in another clue ( 7-down reads :"see 13-across" :reads " 7-down
plus 5"). Most puzzle enthusiasts agree the more challenging puzzles have no-clues at all.
Another common theme to these types of puzzles is that zero is often not used ( grids
typically restricted to the numbers 1-9).
We have working examples on our page entitled computations (click here to visit)
Is an interesting mathematical puzzle because the goal of the game is to use the simplest
mathematical operators( -, +, *, / ) for every whole number say from 0 to some arbitrary
maximum, and the digit four. Most versions require using only four expressions as well.
What I find to be most exciting about this math puzzle game is that the solutions can be varied
and creative. For example here are some possible solutions to yield the results for 0,1, 2
using only fours, with four expressions( here we are using four as an integer) .
0 = (4 / 4) x 4 - 4 = 0
1 = (4/4) + 4 - 4 = 1
2 = 4 - (4 + 4) / 4 = 2
Can you think of any alternatives or solve for 3, 4, or 5? ( See solutions section at the
bottom of this page).
These are problems where you are given certain facts in a paragraph and must
decipher the answer through a series of mathematical iterations.
As an example :
Suppose a 4-digit number is an exact multiple of 9, and three of the four digits
are 1, 2, 3. What is the fourth digit? (See solution below)
Want more Word arithmetic problems? Click here
Also known as alphametics, crypt-arithmetic, cryptarithm or word addition,
is a type of mathematical game consisting of an equation among unknown
numbers, whose digits are represented by letters. The goal is to identify the
value of each letter. The name can be extended to puzzles that use non-alphabetic
symbols instead of letters. The equation is typically a basic operation of arithmetic,
such as addition, multiplication, or division. Below is a classic example:
Traditionally you can solve with the digits 0-9. (See solution below).
To play these types of verbal math puzzles ( with help and hints click here for
our Verbal Math games section).
Traditionally, the magic square consists of a board of say 16 squares with 15 numbered spaces
and one empty space , you have to order (arrange) the numbers from 1-15 , by sliding them along
the grid, you can play now :
RULES |
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Order all the numbers in the shortest time possible with a minimum number of moves...
Choose a Level (3 to 10). |
Choose Level: |
Combinatorial
We have an excellent section regarding the Sudoku math puzzle (simply click on the
title above).
Similar to Sudoku, but not as popular, Cross Sums, (or Kakuro) puzzles are actually
mathematical transliterations of crossword puzzles, meaning we use numbers instead
of letters, click the title above to play.
Click above which directly links to our page for solving the Towers of Hanoi, using
mathematical procedures.
Four-Fours: 3, 4, 5.
3 = ( 4 x 4 - 4) / 4 . 4 = 4 + (4 x (4 - 4)) . 5 = ( 4 x 4 + 4) / 4 .
Solution Verbal arithmetic example
The solution to this puzzle is O = 0, M = 1, Y = 2, E = 5, N = 6, D = 7, R = 8, and S = 9.
What is the fourth digit?
If the number is an exact multiple of 9, the sum of it's digits must also equal 9, therefore
1 + 2 + 3 + x = 9, or x = 3.
MATHEMATICAL ASSOCIATION OF AMERICA (MAA): A professional society that focuses
on mathematics http://www.maa.org/ .
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