A constant variable is one that does not change during an experiment. If your experiment includes a dozen cupcakes and that number does not change throughout your experiment, the dozen cupcakes is a constant variable.
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The constant is the number; the variable is the letter.
The question is about an oxymoronic expression. A constant cannot be a variable and a variable cannot be a constant!
Constant variable
The opposite of the word "constant" is "variable".
The constant variable.