Foundations for College Math (MBF3C) · Mathematical Models

Optimization Problems Using Quadratics

10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.

Start the 10 questions Curriculum: MBF3C-MM.4

Sample: the first question, solved

A farmer has 60m of fencing for a rectangular pen. Find the dimensions that maximize area.

📘 Worked solution
15m×15m (square), maximum area=225m².

And one from the hard end

Find the maximum area of a rectangle with a fixed perimeter of 48m.

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

Your Winny Score tracks you as the questions ramp up. Stuck on one? A real Winny Math tutor will walk you through it — first lesson free.

Start practicing