PiCAT study materials
PiCAT study resources

PiCAT common mistakes

PiCAT · Understand the traps and how to avoid them.

Mistake 1

Setting up a rate or proportion correctly but plugging in numbers without converting units first - e.g., computing earnings per hour and then multiplying by a time given in minutes, or adding a distance in feet to one in miles.

Under time pressure the numbers get grabbed in the order they appear in the prompt, and the unit labels get skimmed past because they aren't part of the arithmetic.

What to do instead

Write the unit next to every number before computing, and carry units through the multiplication so they cancel. If the leftover unit isn't the one the question asks for, convert before dividing.

Mistake 2

Distributing a negative sign across a parenthetical incorrectly, e.g., rewriting -(x - 3) as -x - 3, and then solving the rest of the equation correctly from a wrong first line.

The minus sign in front of parentheses is visually small and gets processed as 'subtract the first term only'; the rest of the problem then feels routine, so no alarm goes off.

What to do instead

Rewrite every subtraction as 'plus the negative' before distributing, then check by substituting a simple number such as x = 2 into both the original and the rewritten expression.

Mistake 3

Picking an answer choice that shares a root or a general theme with the target word (e.g., choosing 'lively' for 'vivacious' when the stem needs 'animated' in a specific sense) rather than the choice that fits the same part of speech and register.

Words that look or sound related feel familiar, and familiarity gets misread as correctness when the candidate is choosing quickly.

What to do instead

Cover the choices, write your own synonym first, then match. For each finalist, say the word aloud in a short sentence and check that its part of speech and tone fit.

Mistake 4

Answering an inference or 'the author would most likely agree' question from personal opinion or outside knowledge instead of from what the passage actually supports.

The topic is often familiar, so the brain supplies an answer from memory and the passage is only skimmed for confirmation.

What to do instead

Before looking at the choices, locate and underline the one or two sentences that license the answer. If no sentence supports it, the choice is wrong no matter how true it is in real life.

Mistake 5

Treating parallel resistors or parallel branches like series ones - adding resistances straight across, or assuming current is the same through parallel branches instead of voltage being the same.

The series formulas are learned first and repeated more, so they surface automatically even when the diagram shows branches.

What to do instead

Identify series versus parallel before touching numbers: for parallel resistance use the reciprocal sum, and sanity-check that the total is smaller than the smallest individual resistor.

Mistake 6

Blaming the battery for a no-crank condition without checking the rest of the starting circuit, and skipping the simple test of whether the lights work and whether there is a click.

The battery is the most familiar component, so it becomes the default suspect, and the symptom description gets read as a conclusion rather than as evidence.

What to do instead

Trace the energy path in order - battery terminals and grounds, then cables, then solenoid/starter - and use each symptom as a test result that eliminates or confirms one link at a time.

Mistake 7

Selecting a saw or fastener by general appearance rather than by the specific job - reaching for a ripsaw on a crosscut, or driving a screw where a nail is called for.

The tools sit side by side in memory and the tooth count or thread type is a detail that was never tied to a function.

What to do instead

Learn each tool paired with its job and one distinguishing feature: coarse teeth and long cuts for ripping along the grain, fine teeth for crosscuts, threads for holding in material you may need to remove later.

Mistake 8

Assuming the larger gear, pulley, or piston turns or moves faster, when the larger one actually turns more slowly while delivering more force.

Bigger intuitively reads as 'more' and 'faster', and the trade-off between speed and force isn't linked to the visual.

What to do instead

For any machine, state what is constant (teeth engaged, belt speed, work in equals work out) and derive speed and force from that. Bigger driven gear means slower output and greater torque.

Mistake 9

Trying to mentally rotate the entire assembled object at once, getting lost halfway, and then guessing based on which shape looks most similar overall.

Holding a full 3D object in working memory is beyond what most people can do accurately in a few seconds, so the attempt collapses and gets replaced with a guess.

What to do instead

Ignore the global shape. Match one distinctive connection point at a time - joint type, tab and slot shape, the angle where two pieces meet - and eliminate any choice that contradicts even a single connection.

Mistake 10

Replacing a stated scientific fact with everyday intuition, such as assuming heavier objects fall faster in a vacuum, that heat and temperature are the same quantity, or that sound travels better through a gas than a solid.

Everyday experience is vivid and automatic, and it fills the gap before a recalled principle can be retrieved.

What to do instead

For each missed item, write one sentence naming the principle that governs it and one counterintuitive consequence of that principle; review those paired statements rather than rereading the definition.