PiCAT study plan

Solve 100 arithmetic word problems covering percentages, ratios, unit rates, and averages, pacing at 75 seconds per item by week's end

Convert 40 fraction-decimal-percent triples without a calculator until you clear 90% accuracy on a timed set

Compute perimeter, area, circumference, and volume for 30 mixed figures from memory, writing the formula before each answer

Set up and solve 25 one- and two-step equations, showing the inverse operation on every line

Solve 40 linear equations and inequalities and graph 10 of them on a number line

Apply exponent, square root, and factoring rules to 30 expressions without reference notes

Explain in writing how a lever, a pulley system, and an inclined plane trade force for distance, using two worked numeric examples apiece

Calculate mechanical advantage and efficiency for 20 simple-machine scenarios and check each against an answer key

Define the six classic simple machines from memory and match each to two real-world devices

Draw and label five series and five parallel circuits, then compute total resistance, current, and voltage drop for 20 problems

State Ohm's law and the power equation verbally and solve 15 items for the unknown variable

Decode resistor color bands for 20 resistors and write each value with tolerance

Solve 15 gear-train and pulley-ratio problems and verify each with a second method

Identify 25 electronic components by symbol and state the function of each

Label 30 automotive systems and components and state the job of each in one sentence

Sequence the four-stroke engine cycle and describe the valve and piston state during each stroke

Name 25 hand tools and 10 power tools from descriptions, plus one safety rule for each power tool

Match 20 fasteners, thread types, and measuring tools to the job they are used for

Distinguish the procedures for measuring with a tape, a caliper, and a micrometer in three short written steps each

Define 60 general science terms spanning biology, chemistry, physics, and earth science

Summarize cell structure, ecosystems, atomic structure, and the water cycle in one paragraph each, from memory

Solve 30 assembling-object problems by naming the rotation or flip applied to each piece

Sketch the joined result for 15 two-piece rotation and mirror combinations before checking the answer

Recite the metric prefixes and three states of matter conversions without notes

Learn 100 high-frequency vocabulary words in context sentences and quiz them in four sets of 25

Infer meaning for 40 unfamiliar words using prefix, suffix, and root analysis alone

Work 20 reading passages, underlining the stated main idea and striking two wrong choices with a written reason before answering

Distinguish stated versus implied information in 15 passages by labeling each correct answer S or I

Paraphrase 10 short paragraphs in a single sentence each to practice restating rather than copying

Re-solve every item missed in the Week 3 and Week 4 sets and write a one-sentence cause for each fix

Complete 30 harder electronics items involving combination circuits and power calculations at 90% or better

Complete 25 mixed mechanical-advantage problems covering levers, pulleys, gears, and hydraulics at 90% or better

Run the auto-and-shop flashcard deck to zero errors in a single pass

Drill 20 questions per day from the two domains you scored lowest on, rotating daily

Complete two full-length timed practice tests under exam conditions and score both

Review every miss from both tests and group them into concept, careless, and pacing errors

Run 10-minute daily flashcard sprints on science terms and vocabulary to hold retention

Rehearse a pacing plan: how many minutes to allot per question block and when to guess and move on

Retake one full section per day from your two weakest domains until each clears 80%