Smart Math guide · Problem Solving

Test Simple or Extreme Cases

A formula or conjecture is easier to understand by checking 0, 1, symmetric cases, or large/small limits.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Choose a simple input.
  2. Predict what should happen.
  3. Compare the rule with that prediction.
Worked example

See it in action

A shipping formula should usually give zero variable cost when quantity is zero.

Check your thinking

How to verify it

If it produces a large positive quantity-dependent cost at zero units, inspect the model.