MHF4U Practice Questions
Grade 12 Advanced Functions — free, with full solutions
Polynomial, rational, logarithmic and trigonometric functions, plus rates of change — the prerequisite that university engineering, science and business programs actually check for. 29 questions, every one with a complete step-by-step worked solution. Free to use, no sign-up needed.
Degree, end behaviour, turning points and zeros — reading a polynomial's shape from its equation and vice versa.
Factor theorem, remainder theorem, solving cubics, and using sign charts to solve inequalities properly.
Vertical, horizontal and oblique asymptotes, holes, and solving rational equations and inequalities.
Log laws, converting between forms, solving exponential equations, and applications in growth, decay, pH and sound.
Radians, transformations of sine and cosine, identities, and solving trigonometric equations over a given interval.
Average and instantaneous rate of change, secants and tangents, and adding, multiplying and composing functions.
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💡 How to actually get better with these
- Try the question first — properly. Solutions are hidden behind a click for a reason. Reading a solution you didn't attempt teaches almost nothing.
- Write out your steps. Most lost marks come from skipped lines, not wrong ideas.
- If you get it wrong, find the exact step where it went wrong — not just the right answer. That step is the thing to fix.
- Come back in a week. Redo the ones you missed. If you can do them cold, you've actually learned them.
Free practice is step one. The classes are where it clicks.
Interactive pre-recorded online math classes where the student solves as they learn — math online, at their own pace and in their own time — plus a self-assessment test every 2 weeks and a practice assignment every 3 classes, each with full solutions. Start with 3 complete classes free.
Try 3 Classes Free →