OAT Quantitative Reasoning study plan

Diagnose baseline accuracy and pacing by completing a timed 40-question arithmetic and algebra set, then log every miss by error type (concept, setup, computation, time).

Rebuild fluency with order of operations, integer and signed-number rules, and divisibility tests by working 30 short drills without a calculator.

Compute with squares, cubes, roots, and scientific notation well enough to convert between forms in under 30 seconds each.

Set up a personal error log template that records problem type, mistake category, and the one-line fix for each miss.

Solve linear equations in one variable, including those with fractions and parentheses, at 90% accuracy over 30 problems.

Translate verbal relationships into single-variable equations and solve them without guessing.

Apply exponent rules, polynomial expansion, and factoring to simplify 25 expressions correctly.

Reduce average time per arithmetic/algebra item to under 75 seconds while keeping accuracy above 85%.

Convert fluently among fractions, decimals, and percents in both directions across 40 rapid conversions.

Solve percent-change, percent-of, and successive-percent problems using a single consistent method.

Set up and simplify ratios, rates, and proportions, including unit-rate and scale problems.

Estimate answers by rounding before computing so you can eliminate implausible choices quickly.

Solve multi-step word problems involving discounts, tax, mixtures, and unit conversions by defining the variable explicitly before computing.

Graph and interpret linear equations, including slope and intercepts, and read information off a line.

Solve systems of two linear equations by substitution and elimination and verify each solution.

Complete a mixed timed set spanning domains 1 through 3 at or above 80% accuracy.

Solve and graph linear inequalities, including compound inequalities, and correctly handle sign flips when multiplying or dividing by a negative.

Apply quadratic techniques: factoring, the quadratic formula, and completing the square, to 20 problems.

Simplify rational expressions and solve rational equations while identifying excluded values.

Recognize function notation and evaluate or interpret functions from equations and simple graphs.

Translate rate, work, and distance problems into equations and solve them under time pressure.

Set up and solve mixture, average, and consecutive-integer problems using a defined variable strategy.

Break multi-step applied problems into labeled sub-steps so partial credit reasoning carries through to the answer.

Practice back-solving from answer choices when direct setup is slow.

Compute perimeter, area, and volume for triangles, circles, rectangles, and rectangular solids, and apply the Pythagorean theorem.

Convert within and between measurement systems and handle angle relationships in lines and polygons.

Calculate mean, median, mode, range, and standard deviation conceptually, and interpret data in tables and simple charts.

Compute basic probabilities, including complementary and compound events, from given counts.

Complete two full-length timed practice tests under exam conditions and record section-level accuracy.

Re-drill the top three error categories from the error log until each is at or above 90% accuracy.

Finalize pacing rules for when to skip, guess, or persist on a question.

Review the reference cards and confirm every formula can be recalled without notes.