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'Complex Countdown' printed from http://nrich.maths.org/
is like normal countdown
except that in addition to the usual arithmetical rules of add, subtract, multiply, divide, you are allowed to use the operations of:
Mod(z), Re(z), Im(z), Arg(z) and CC(z)
These stand for: Modulus, Real Part, Imaginary Part, Argument (measures in degrees) and Complex Conjugate.
Oh, and it also uses complex numbers. Have fun!
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We can think of various scoring systems for this game; we'll leave it up to you to devise your own. You might well wish to play this collaboratively with friends and take you time to try to hit the targets exactly.
: If you wish to develop your IT skills, why not try implementing a version of this game on a spreadsheet or in code? As an extra challenge you might try to implement a version in which you know that there is always an exact solution for every game played.