Problem-Solving & Data Analysis
Free SAT Problem-Solving and Data Analysis Practice Questions
Problem-Solving and Data Analysis (PSDA) makes up about 15% of SAT Math and tests how well you can reason with real-world quantities, tables, and data — ratios, percentages, distributions, scatterplots, and probability. It rewards careful reading as much as calculation. Every subtopic below has its own free, instantly-scored practice set on the GetSATMath dashboard, in Easy, Medium, and Hard difficulty.
Problem-Solving and Data Analysis subtopics
Click a subtopic to read the full guide, or go straight to the practice dashboard to start a set.
Ratios, rates, proportional relationships, and units
Setting up and solving proportions, unit conversions, and rate problems without getting tripped up by wording.
Percentages
Percent change, percent of a quantity, and compounding percentages in real-world contexts.
One-variable data: Distributions and measures of center and spread
Mean, median, mode, range, and standard deviation, and how outliers affect each one.
Two-variable data: Models and scatterplots
Reading scatterplots, lines of best fit, and interpreting the strength and direction of a relationship.
Probability and conditional probability
Basic probability, two-way tables, and conditional probability questions.
Ready to practice Problem-Solving and Data Analysis? Every subtopic above has Easy, Medium, and Hard sets with instant scoring and full explanations — no signup required to start.
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