hardest sat questions

At first glance, this looks like a geometry question, since it talks about planes and lines and points. But this is actually an algebra question, dressed up with some geometric trappings. The key is to realize: 1) We don’t need to solve for p and r individually. We just need to solve for (r/p). AND… 2) The points themselves (p,r) and (2p, 5r) repre... See moreThis is a question that can cause all sorts of problems if you forget your exponent rules—but it’s otherwise very straightforward. So let’s go over a few of those rules, just to get comfortable . . . and notice a pattern. I’ve included three below: Two things to pay attention to: First, when … See moreA question like this confuses a lot of students because they either forget how minimums and maximums work or find it hard to keep track of which numbers they are plugging in and where. In order to solve it, it’s helpful to think of a function as a machine. We enter an input into the machine … See moreHere we have a problem that looks quite complicated—and one I find students often waste a lot of time on. They either try to plug in answers and work backwards… …or they waste time trying to combine the two terms on the right side of the equation and simplifying. It turns out the easiest … See moreA version of this question has appeared on the SAT multiple times in recent years, and it often stumps students! Here we have something that resembles a rotated version of the logo from Star Trek, and we’re asked to find the value of a degree inside the circle, between two points of … See more

Advanced Digital SAT Math – 150 Hard Questions For Students Aiming For 800 Designed For Students Seeking Scores Of 700+ On The Digital SAT Math Test By Matthew Stroup and Michael Stroup 1ST …

Apr 6, 2026 · This guide ranks every available Bluebook SAT practice test from hardest to easiest, explains what makes certain tests more difficult, and shows you the smartest order to take them in.

This unit covers the hardest advanced math questions on the SAT Math test. We suggest leveling up each skill with exercises and quizzes, and then taking the unit test to raise your mastery levels even …

These questions ask you to identify evidence that supports a given claim—and the hardest ones bury you in dense, technical passages where every answer choice seems potentially relevant.