Plep's Puzzles

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Monday, July 30, 2007

Four 5's

Using arithmetic combinations of four 5's express the integers from 1 to 12.
You must use all four 5's for each integer.
You may combine the 5's using the arithmetic operations +, -, * (multiplication) and / (division).
You are also allowed to use sqrt (square root) (e.g. sqrt(5) ).
You are allowed to use concatenation (e.g. 55 is valid as part of an answer).
You are allowed to use decimals (e.g. 5.5 is valid as part of an answer; so is .5).
You are allowed to use factorials. For example, 5! (or factorial(5)) = 5*4*3*2*1 = 120.
(The factorial of an integer x! is the product of all the positive integers less than or equal to x).
You do not need to use anything other than those listed above - so no powers of 3, trig operations, logarithms, cube/quartic/etc. roots, etc.

Saturday, July 21, 2007

Four 3's

Using arithmetic combinations of four 3's express the integers from 1 to 15.
You must use all four 3's for each integer.
You may combine the 3's using the arithmetic operations +, -, * (multiplication) and / (division).
You are also allowed to use sqrt (square root) (e.g. sqrt(3) ).
You are allowed to use concatenation (e.g. 33 is valid as part of an answer).
You are allowed to use factorials. For example, 3! (or factorial(3)) = 3*2*1 = 6. (The factorial of an integer x! is the product of all the positive integers less than or equal to x).
You do not need to use anything other than those listed above - so no decimal places, powers of 3, trig operations, logarithms, cube/quartic/etc. roots, etc.

Saturday, July 14, 2007

Four 4's Part 3

Using arithmetic combinations of four 4's express the integers from 21 to 30.
You must use all four 4's for each number.
You may combine the 4's using the arithmetic operations +, -, * (multiplication) and / (division).
You are also allowed to use sqrt (square root) (e.g. sqrt(4) ).
You are allowed to use concatenation (e.g. 44 is valid as part of an answer).
You are allowed to use factorials. For example, 4! (or factorial(4)) = 4*3*2*1 = 24.
(The factorial of an integer x! is the product of all the positive integers less than or equal to x).
You do not need to use anything more exotic than those listed above - so no decimal places, powers of 4, trig operations, logarithms, cube/quartic/etc. roots, etc.

Thursday, July 05, 2007

Four 4's Part 2

Using arithmetic combinations of four 4's express the integers from 11 to 20.
You must use all four 4's for each number.
You may combine the 4's using the arithmetic operations +, -, * (multiplication) and / (division).
You are also allowed to use sqrt (square root) (e.g. sqrt(4) ). Y
ou are allowed to use concatenation (e.g. 44 is valid as part of an answer).
You are allowed to use factorials. For example, 4! (or factorial(4)) = 4*3*2*1 = 24. (The factorial of an integer x! is the product of all the positive integers less than or equal to x).
You do not need to use anything more exotic than those listed above - so no decimal places, powers of 4, trig operations, logarithms, cube/quartic/etc. roots, etc.