Math Prize For Girls

What Math Prize For Girls Actually Is

The Math Prize For Girls is a one-day competition in Princeton, run out of the Institute for Advanced Study. It's aimed at girls who've already been filtering themselves through AMC 10/12 and AIME-level pipelines. The top performers at the AIME are invited, and the final round has you solving eight proof-style problems in four hours. That's it. No multiple choice. No guessing. You write out full solutions and they're graded on rigor, not just the final number. I remember the first year I was involved in some capacity — watching someone work through a combinatorics problem that looked deceptively simple. The statement was about counting certain lattice paths with a parity constraint. She spent about forty minutes on it, erased half her work twice, and ended up with a clean bijection argument that nobody else in her group had found. That's the pace of this thing. The problems reward patient reorientation, not speed-reading.

Math Prize For Girls: How to Actually Prepare

Most people approach this the wrong way. They grind past papers and expect the format to be familiar. It isn't. The problems lean heavily toward competition-style number theory, combinatorics, and geometry with algebraic structure. Functional equations show up occasionally but rarely dominate. The real differentiator is how the problems are worded — they look like normal contest problems until you're thirty minutes in and realize the standard approach hits a wall. I'd recommend building your foundation through the HMMT and PUMaC problem sets, not just AIME prep books. Those contests have a similar flavor to the MPFG problems in terms of depth and unexpected twists. Work through at least three full past papers under timed conditions before you ever think about attending. The four-hour block is brutal if you've never sustained that kind of focus. My timing breakdown usually runs like this: problems one through three take about ninety minutes combined if you're comfortable with the topics, problems four through six eat another two hours, and the last two are where people either find a breakthrough or sit staring at them for forty-five minutes each. One thing nobody talks about is the invitation mechanic. You need to place in the top tier of the AIME to get an invite. That means roughly a score of 8 or higher, sometimes lower depending on the year's difficulty curve. If you're sitting at a 5 or 6, you're not close enough yet. The workaround I saw work for several students was taking the AIME twice across two years — focusing entirely on moving from a 5 to an 8, which is usually just a matter of getting comfortable with one or two topic areas like number theory or combinatorics. I had a student who went from a 4 to a 9 by drilling past AIME number theory problems for six weeks straight. Not glamorous, but effective.

Another practical detail: the travel logistics. The competition is on a Saturday in November. Princeton is accessible by train from New York or Philadelphia, but housing fills up fast if you're coming from out of state. I always tell students to book accommodation the week the invitations go out, not the week they receive one. Last-minute bookings near campus typically cost 40 percent more and leave you a forty-minute bus ride from the venue instead of walking distance. That-minute commute matters when you're running on four hours of sleep and three espresso drinks. Here's something counter-intuitive about grading: partial credit is where most students lose points without realizing it. You can write a solution that gets the right answer but zero credit if the argument skips over a key justification. I've seen students lose five out of eight problems simply because they stated a theorem without proving the special case the problem required. For example, using the pigeonhole principle is fine, but if the problem needs you to establish the exact bound that makes the pigeonhole argument work, just saying "by pigeonhole" isn't enough. Write the explicit counting argument. Same with geometry — if you use power of a point, state why the configuration satisfies the theorem's conditions. The graders are looking for that. The competition also has a culture component that some students undervalue. There's a social weekend built around the main event — problem-solving sessions, talks, meals with other top students. If you're only thinking about the eight problems, you're missing half the value. The people you meet at these events often end up collaborating on research or applying to the same programs. It's not networking in the corporate sense. It's more like finding your actual peer group, which for a lot of math-oriented girls doesn't exist in their high school.

One edge case that caught me off guard: the competition rules about calculators. They're not allowed. Not scientific, not graphing, not basic. I've seen students bring them anyway because they assumed the rule was relaxed for "standard calculator use." It isn't. Proctors collect them at the door. The workaround is practice — and I mean actual practice — without any device for mental arithmetic and algebra. It sounds obvious but the gap between "I can use a calculator" and "I can't" is real. My rule was that any calculation you'd normally do on a calculator should be derivable by hand within a minute. If it can't be, you need more drill work before test day. The registration process is straightforward — it goes through the official Math Prize For Girls website and typically opens in early fall. There's a fee waiver available if you need it, and I'd recommend applying for one if you're on the borderline of whether to register. The fee isn't prohibitive but it's not free either, and the waiver process is handled discreetly. I once watched a capable student skip registration because she didn't know the waiver existed. That's on the information gap, not her preparation. If you're serious about this competition, the single most impactful thing you can do is work on writing proofs that are readable. Not elegant, not clever, just clear. A grader reading twenty solutions an hour will reward clarity over brilliance every time. Take an old problem you solved and rewrite the solution as if you're explaining it to someone who knows the definitions but hasn't seen the trick. If they can follow your logic in under three minutes, you're in good shape. If they need a second pass, tighten it up.

The results tend to come out a few weeks after the competition. Winners are announced publicly, but every participant gets a score report. The cutoffs vary year to year based on the difficulty set, so don't compare your score to someone else's from a different year and draw conclusions. A 30 out of 48 in one year might be a top-10 finish. In another year, it might be mid-pack. The ranking matters more than the raw score.

When This Isn't the Right Path

The Math Prize For Girls is excellent if you're already deep into competition math and want a peer group and a challenging problem set. It is not a substitute for building fundamentals. I've seen students who skipped regular coursework to prep for this and then struggle in college math because their proof-writing skills were narrower than their computation skills. The competition rewards a specific type of thinking — clever insight under time pressure — and that's valuable but it's not the whole picture. If your goal is just to get better at math generally, regular coursework and broader problem sets will serve you better than MPFG-specific drilling. For students who score in the lower invitation range and don't make it in year one, the best move is usually to step back and identify which topic area is holding them back, then spend the next year strengthening that. The jump from non-invited to invited is typically a 2-to-4 point increase on the AIME, which is very achievable with focused practice. Trying to do everything at once usually results in no improvement across the board.