Score band 400-500: 400–500 (Foundations)

About this score band

The 400 to 500 score band on SAT Math is the foundations band. Students scoring here are usually strong on arithmetic but losing easy points to careless setup, missed units, or an unfamiliar SAT phrasing of a familiar idea. Drilling the foundations questions here is the highest leverage thing you can do for your score, because every problem you convert from a guess to a confident solve moves you a measurable number of scaled points. Foundations questions in this band test one idea at a time, with friendly numbers and short stems. Treat them as warmups for the rest of the section: do them untimed first, write every step on paper, and check that your final value answers the actual question being asked, not the value of x.

The drills below are filtered to questions calibrated to the 400-500 band, organized by topic across the four College Board content domains. Pick the topic that you most often miss on practice tests, and work the band-specific drill set for it. Each drill includes 6–7 practice questions with full worked solutions and a write-up of the patterns the College Board uses at this difficulty level.

Drill sets by topic

How to plan your study around this band

Pick three topics where you most often miss questions in this band and rotate through their drills on a weekly cycle. One topic per study day is plenty; trying to cover all twenty in a single sitting produces fatigue and shallow practice. After two weeks of rotation, take a full timed practice section and check whether your score has moved into the next band. If it has, switch your drilling focus to the next-higher band to push the climb further.

Students who follow this rotation typically see a 30–80 point score gain over a six-week practice cycle, with the largest gains coming from students in the 500–600 and 600–700 bands.