Math · Problem-Solving and Data Analysis · Q.A.
Ratios, rates, proportional relationships, and units
Ratios, rates, and units look like middle-school work until the units flip or the ratio is part-to-part and they asked for a part-to-whole.
What Bluebook is testing
Q.A. is proportional reasoning, unit conversion, and constant rates. Hard items stack two conversions or hide an inverse relationship.
How it shows up
PSDA is ~15% of the module (about 3 items). These are often SPR. A wrong unit still grids as a confident number.
A method that survives Module 2
Write the units in the fraction and cancel them. If the leftover unit is wrong, the setup is wrong. For mixtures and recipes, pick a convenient total (the LCM) and scale. If two rates combine, decide whether they add or whether time is shared.
Traps that look like knowledge
- Part-to-part treated as part-to-whole
- Inverting a rate (hours per job vs jobs per hour)
- Converting only one quantity in a rate
- Using a scale factor on an additive context that is not proportional
Questions
- What is "Ratios, rates, proportional relationships, and units" on the Digital SAT?
- It is an official College Board skill in Digital SAT Math. The wording on Bluebook matches the domain taxonomy Drilled uses in drills, analytics, and the notebook.
- How does Drilled train Ratios, rates, proportional relationships, and units?
- Filter the bank to the skill, run a timed drill, autopsy every miss, and let the notebook bring the same pattern back. Domain drills and full section sims include the skill at the official mix.
- What is the most common trap on Ratios, rates, proportional relationships, and units?
- Part-to-part treated as part-to-whole
Related
- Problem-Solving and Data Analysis
- Percentages
- One-variable data: Distributions and measures of center and spread
- Two-variable data: Models and scatterplots
- Probability and conditional probability
- Inference from sample statistics and margin of error
- Evaluating statistical claims: Observational studies and experiments
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