Problem Solving and Data Analysis is where the SAT pretends to be the real world. Every question in this domain is wrapped in context: a recipe, a survey, a clinical trial, a lab measurement, a marketing report. The math itself is rarely harder than middle-school arithmetic — ratios, proportions, percentages, unit conversions, means, medians, scatter plots, two-way tables, and basic probability. What trips students up is the reading. The College Board has spent two decades calibrating these prompts to reward students who slow down on the setup and punish students who rush to compute. ScoreReady's Problem Solving drills isolate each archetype the test reuses: percent-change versus percent-of, weighted versus simple averages, line of best fit interpretation, conditional probability from two-way tables, and density and rate conversions. Every worked solution shows the unit-tracking step explicitly because that is where careless students lose points they should keep. If you can score perfectly here, you have neutralized one of the easiest places on the entire SAT to leave points on the table.
Content domain
Problem Solving & Data Analysis
Ratios, percentages, units, statistics, and reading real data displays.
Topics in Problem Solving & Data Analysis
Ratios and Proportions
Set up and solve proportional reasoning problems.
Percentages and Percent Change
Compute percent of, percent change, and successive percent operations.
Units and Unit Conversion
Convert between units using dimensional analysis.
Mean, Median, and Mode
Compute and reason about measures of center.
Probability and Two-Way Tables
Compute probabilities from tables and basic counting.
Study tips for Problem Solving & Data Analysis
- Write the units next to every number you copy down. If your final unit does not match what the question asks for, you set up the proportion upside down.
- A percent increase followed by the same percent decrease never returns to the original value. The SAT writes wrong answers that assume it does, every single time.
- For two-way tables, circle the row or column labeled by the condition before you compute. Conditional probability uses only that subset as the denominator, never the grand total.
- When you see "line of best fit," the question almost always wants you to read a value off the line, not off the data points. The points are decoys.
- For mean problems, sum equals mean times count. Memorize that identity. Most SAT mean questions become a one-line algebraic step once you write it down.