Exam Questions Needed to Pass

Questions needed to hit a passing grade

Here's the formula: (min_grade − current_points) / points_per_question = questions_needed. Every correct answer is worth a fixed weight, so passing comes down to getting enough right items to close the gap between what you've already scored and the minimum grade. Example: take an exam with 100 questions worth 0.1 point each and a minimum grade of 7.0. You'd need 70 correct answers, assuming no partial credit. When the items carry different weights, just add up the weights of the ones you plan to solve. Most Brazilian exams don't dock points for wrong answers, though a handful of private colleges and the military academies (ITA, IME) do. Where that applies, multiply your wrong answers by the penalty first and then subtract.

Applications

It comes in handy for the ENEM (45 questions per area in 180 minutes for Math and Natural Sciences), for concursos públicos in the CESPE/Cebraspe or FCC formats (CESPE runs certo/errado with cancellation), and for vestibulares whose first phase is objective, like FUVEST and UNICAMP. Set a per-question time budget alongside it (say, 4 minutes for Math) to keep your pace on track.

FAQ

Does this work for CESPE certo/errado tests? Only up to a point. CESPE takes off 1 point for each wrong answer, which pushes your real target higher. Use correct − wrong ≥ target instead.

What about ENEM TRI scoring? Because TRI isn't linear, a raw tally of correct answers only gets you a ballpark figure. Stick to this for traditional weighted exams and reach for the IRT-aware calculators when you're dealing with ENEM.

How many questions should I attempt vs skip? Answer everything unless wrong answers cost you. When there's no penalty, a blank is just a missed chance.

Can I weight questions differently? Sure. When an exam mixes weights (an essay worth 3x, for instance), work out the gap and divide it by the average weight of the items you still have left to solve.