OAR study plan
OAR · Give each week a clear focus.
8 weeks · About 6 hours per week
Mathematics (Math Skills content area)
Compute with fractions, decimals, and percents without a calculator, including conversion in both directions
Apply order of operations to multi-step arithmetic expressions
Solve ratio, proportion, and average problems drawn from everyday scenarios
Build a personal formula sheet covering the arithmetic rules you miss most
Your checkpoint
Timed 40-question arithmetic diagnostic scored and logged, with every missed item tagged to a specific rule on your formula sheet
Mathematics (Math Skills content area)
Solve single-variable linear equations and inequalities
Translate word problems into equations and check answers against the original wording
Compute rates, work, and distance problems using a consistent setup template
Explain out loud why a wrong answer choice is wrong for 10 missed problems
Your checkpoint
Error log of 30 solved word problems showing the equation set-up, the correct answer, and the reason for each original mistake
Mathematics (Math Skills content area) & Reading Comprehension
Calculate perimeter, area, and volume for rectangles, triangles, and circles
Apply the Pythagorean theorem and basic angle relationships to figure-based items
Identify the main idea and the supporting details in short expository passages
Distinguish a stated detail from an inference in reading questions
Your checkpoint
Two-part worksheet: 25 geometry problems plus 3 annotated passages with main idea and supporting details highlighted
Mathematics (Math Skills content area) & Mechanical Comprehension
Complete a timed full math section under test conditions without notes
Review every missed math item and re-solve it cold the following day
Describe the six simple machines and give one real-world example of each
Calculate mechanical advantage for a basic lever and a basic pulley setup
Your checkpoint
Full-length timed math practice section scored, plus a simple-machines reference card written in your own words
Mechanical Comprehension
Solve lever problems using the effort-arm and resistance-arm relationship
Compute pulley-system mechanical advantage for fixed, movable, and combined setups
Determine the direction and relative speed of rotation in gear trains
Sketch free-body style diagrams for inclined plane and wedge problems
Your checkpoint
Set of 25 mechanical reasoning problems solved with a labeled diagram drawn for each one
Mechanical Comprehension & Reading Comprehension
Apply pressure, density, and buoyancy relationships to fluid problems
Solve basic series and parallel circuit questions for voltage, current, and resistance
Match common hand tools to their correct function and typical use
Summarize a multi-paragraph passage in two sentences without losing the author's position
Your checkpoint
Mechanical concept map linking levers, pulleys, gears, fluids, and circuits to their governing relationships, plus 3 two-sentence passage summaries
Reading Comprehension & Mathematics (Math Skills content area)
Identify an author's tone and purpose from word choice in short passages
Determine the meaning of a word from context rather than from a memorized definition
Answer detail, inference, and vocabulary questions under a per-question time cap
Re-drill the 20 math items you have missed most often across the plan
Your checkpoint
Timed 25-question reading comprehension set scored, plus a re-drill sheet of your 20 highest-frequency math errors with corrected solutions
Mathematics (Math Skills content area) & Reading Comprehension & Mechanical Comprehension
Complete two full-length timed practice tests simulating real test conditions
Allocate time per section and stick to the plan on both attempts
Review every incorrect answer and classify it as content gap, misread, or pacing error
Recite your formula sheet and mechanical definitions from memory
Your checkpoint
Two scored full-length practice tests with a written error classification table and a final one-page review sheet
Milestones
Week 4: Score at least 75% on the timed full math section and complete the simple-machines reference card without notes
Week 6: Solve 8 of 10 mechanical reasoning problems correctly and write a two-sentence summary that captures the main idea of 3 of 4 passages
Week 8: Improve full-length practice test score by at least 15% over the week 1 diagnostic, with no section left unfinished for time