Some new examples of problem solving, where an extreme value condition is required, are taken in account and/or revisited. The search of non-Calculus solution appears pedagogically useful and intriguing. These kinds of problems, can be often, a mind stimulating challenge for a student who is well experienced with Calculus. A teacher, who teaches Maths and Physics together, can find in these kind of problems a good link between these two subjects.

extreme value problems, physics problem-solving, elementary maths, non-Calculus challenge.