Ratios, Rates, and Proportions
Practice unit rates, ratios, proportional relationships, scale conversions, equivalent quantities, and multi-step problems where several rates must be interpreted in context.
SAT Problem Solving and Data Analysis Practice Questions
Practice SAT data analysis skills with ratios, percentages, unit conversions, statistics, scatterplots, probability, and evaluating real-world claims.
SAT Data Analysis Practice
Turn real-world data into the right mathematical answer
SAT Problem Solving and Data Analysis questions combine arithmetic with interpretation. Practice ratios, percentages, distributions, scatterplots, probability, and statistical reasoning while learning to recognize the information that actually matters in each problem.
5 topic tests
10 questions per test
Instant feedback
Repeat anytime
Test guide
What you'll practice
The five tests move from quantitative relationships and percentages to interpreting distributions, models, probability, and statistical claims.
Percentages
Work with percent of a quantity, percent change, discounts, markups, tax, tips, growth and decline, and successive percentage changes without confusing the original and new reference values.
One-Variable Data: Distributions and Measures of Center and Spread
Interpret mean, median, range, standard deviation, distributions, outliers, and changes to a data set. Practice deciding which numerical summary best describes the information shown.
Two-Variable Data: Models and Scatterplots
Analyze scatterplots, lines of best fit, slope, intercepts, residuals, and model predictions. Connect equations with the real-world meaning of the variables they describe.
Probability and Evaluating Statistical Claims
Practice basic and conditional probability, samples, populations, margin of error, representative sampling, and determining whether evidence supports a statistical conclusion or whether a claim goes beyond the data.
Problem-solving strategy
Four steps for harder SAT data questions
Many mistakes happen before the calculation begins. A strong approach separates the information in the problem from the mathematical operation needed to answer it.
01
Identify the target
Determine exactly what quantity, percentage, probability, statistic, or prediction the question asks you to find.
02
Organize the data
Separate relevant information from extra details and check units, labels, table headings, and graph scales.
03
Build the relationship
Set up the ratio, percentage equation, model, probability, or statistical comparison before doing the arithmetic.
04
Check the context
Make sure the result has the correct unit, scale, and interpretation and that it answers the question actually asked.
Watch the reference value in percentage questions
A percent increase, percent decrease, and the percentage one value is of another can use the same numbers but different denominators. Before calculating, identify which quantity is the original or reference value.
FAQ
SAT Problem Solving and Data Analysis practice
Common questions about ratios, percentages, data interpretation, probability, and preparing for SAT data analysis questions.
What topics are covered in these SAT data analysis practice tests?
The tests cover ratios, rates, proportions, percentages, one-variable data, measures of center and spread, two-variable data, scatterplots, probability, sampling ideas, and evaluating statistical claims.
Are these SAT data analysis tests free?
Yes. You can complete the practice tests online without registration and return to a topic again when you want additional practice.
Why are SAT ratio and proportion questions sometimes difficult?
The arithmetic itself may be simple, but the problem can combine several quantities, units, or conversion steps. A reliable strategy is to label every quantity and make sure the two sides of a proportion compare corresponding values.
What is a common mistake on SAT percentage questions?
One common mistake is using the wrong reference quantity. Percent change is measured relative to the original value, while other percentage questions may ask what percent one quantity is of another. Identifying the denominator before calculating prevents many errors.
What should I look for when interpreting a scatterplot?
Pay attention to the direction and strength of the association, unusual points, the meaning of each variable, and whether a proposed model reasonably represents the pattern. When a line of best fit is given, interpret its slope and intercept in context.
How can an outlier affect the mean and median?
The mean uses every numerical value directly, so an unusually high or low observation can move it noticeably. The median depends on position after the data are ordered and is generally less sensitive to an extreme observation.
Do SAT probability questions require advanced probability formulas?
Most problems can be handled by carefully identifying the possible outcomes and the outcomes that satisfy the condition in the question. Tables, diagrams, and organized counting can often make the probability relationship easier to see.
How should I practice SAT Problem Solving and Data Analysis?
Work through one topic at a time first. After each test, review whether mistakes came from calculation, setup, units, graph interpretation, or reading the question incorrectly. Once the individual skills are comfortable, combine them with mixed SAT math practice.
Strong SAT data analysis depends on both calculation and
interpretation. Before choosing an answer, check that the
number you found represents the quantity the problem
actually asks about.