Problem-Solving and Data Analysis is about 15% of SAT Math, 5 to 7 of the 44 questions, and it holds more distinct skills than any other domain: seven of them. That is why it feels scattered.
It is also the domain with the least algebra and the most reading. Tables, graphs, surveys and percent changes, where the arithmetic is easy and the question is whether you read the right number off the right thing.
How often each of these skills actually appears, counted across the 8 official Bluebook tests: the most common Problem-Solving and Data Analysis questions, ranked.
The skills in this domain
- Ratios, rates and unit conversion — Proportions and unit chains. The questions where the answer is right but in the wrong unit.
- Percentages — Percent of, percent change, and reversing a percent change, which is the one students get wrong.
- Mean, median and standard deviation — What each measure does when you add a value or spread the data out.
- Scatterplots and line of best fit — Reading a trend, predicting from it, and what a residual is.
- Probability — Almost always from a two-way table. The whole question is which row or column is the denominator.
- Margin of error and samples — What a wider or narrower interval means, and what changes it.
- Statistical claims — Whether a study supports a conclusion, and whether a sample lets you generalise.
Each one has its own guide with a real question for every way the SAT asks it, and one to try with the video.
Where the points actually go
- The denominator. On two-way table probability, the answer hinges entirely on whether the question said given that. Given that narrows you to one row or column; without it you are over the whole table. That one word is the question.
- Reversing a percent. A price rose 20% to $60. The original was not $48. Students who set up 1.2x = 60 get it, students who take 20% off $60 do not, and the test knows it.
- Units. Miles per hour to feet per second, dollars per ounce to dollars per pound. The arithmetic is easy and the answer choices include the version you get by converting in the wrong direction.
- Claims you cannot make. A survey of one school does not support a claim about a state. The credited answer is usually the most cautious one on the page.
Watch these solved
There is no standalone video for this domain yet. The closest thing is the full run through all 196 questions College Board added in the August 2026 Question Bank update, which has a stretch on Problem-Solving and Data Analysis worked in order.
Worth watching alongside this: the 24 formulas and concepts the SAT expects you to know, which covers what the reference sheet leaves out across all four domains. The written version is the free formula sheet.
Where to start
Take the free diagnostic, twelve real questions, and it tells you which of these skills is costing you the points. Or go straight to a full-length practice test, adaptive and scored, with a video on every problem you miss. Both are free.