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SAAT common mistakes

SAAT · Understand the traps and how to avoid them.

Mistake 1

On fraction and decimal questions, the candidate performs operations left to right regardless of grouping, or cancels terms across an addition sign (for example simplifying (x+3)/3 to x+1), producing an answer that looks tidy but is arithmetically wrong.

Under time pressure the candidate pattern-matches to familiar-looking expressions and applies shortcut rules that only hold for multiplication, skipping the check of whether the operation is addition or division.

What to do instead

Before computing, label the operation between each pair of terms. For any fraction, test cancellation with a small numeric substitution (let x=1) to see whether the simplified form gives the same value. Practice order-of-operations items with parentheses and exponents mixed, and write each intermediate line rather than collapsing steps.

Mistake 2

The candidate solves an algebraic equation correctly but then answers a different quantity than the question asks, such as reporting x when the question asks for 2x+5, or reporting the cost of one item when the total is requested.

The candidate treats finding the variable as the finish line and stops reading the question stem once an equation is set up, so the final ask is never re-checked against the computed value.

What to do instead

Underline the requested quantity in the stem before starting. After solving, write one sentence translating the variable back into the question's units and compare it to the underlined ask. On multi-step word problems, label the final line 'Answer requested:' and fill it in explicitly.

Mistake 3

When translating a word problem into an equation, the candidate assigns the variable to the wrong quantity or reverses a relationship, for example writing 3 more than twice a number as 3n+2 rather than 2n+3, or setting up a rate problem with the times inverted.

The candidate scans for numbers and builds the equation from keywords in reading order instead of first deciding what the unknown represents and then expressing each relationship relative to it.

What to do instead

Write 'Let n = ___' in words before any symbols. Translate the sentence clause by clause, one line per clause, then combine. Verify by plugging a small friendly number into the equation and checking it satisfies the original English statement.

Mistake 4

The candidate confuses slope and intercept, or misapplies slope formulas, using (y2-y1)/(x2-x1) upside down, treating a horizontal line as undefined slope, or assuming parallel and perpendicular slopes are the same rule.

Slope, intercept, and reciprocal relationships are memorized as isolated formulas without a graphical anchor, so under time pressure the candidate swaps numerator and denominator or forgets the negative reciprocal.

What to do instead

Sketch the two points and count rise over run visually before computing. Memorize one anchor: horizontal slope 0, vertical undefined, perpendicular slopes multiply to -1. Redo a mixed set of five items covering parallel, perpendicular, and undefined cases and check each against a quick sketch.

Mistake 5

On area and perimeter questions, the candidate applies the wrong formula to a composite or scaled figure, for example doubling the side of a square and doubling its area, or using circumference where area is required.

Formulas are recalled by shape name rather than by what is being measured, and scaling effects are treated as linear when they are quadratic for area and cubic for volume.

What to do instead

Attach units to every formula (square units for area, linear units for perimeter) and check that the answer's units match the question. For scaling, test with a concrete example: a 2-by-2 square has area 4; doubled to 4-by-4 the area is 16, a factor of four.

Mistake 6

The candidate mixes degree and radian measure, or misuses the Pythagorean theorem and special right-triangle ratios on non-right triangles, applying 3-4-5 or 45-45-90 ratios where the triangle is not right or not similar.

Special-triangle ratios are drilled as automatic responses, so the candidate applies them on sight without verifying the right angle or the angle measures that justify them.

What to do instead

Before using any ratio, mark the known right angle or state the angle measures. Keep a one-line conversion card (180 degrees = pi radians) and convert everything to one unit at the start of the item. For non-right triangles, check whether Law of Sines or Cosines is required.

Mistake 7

The candidate computes a mean, median, or probability correctly for the data given but ignores how the question frames the set, such as averaging already-averaged group means without weighting by group size, or computing probability without adjusting the denominator after a draw without replacement.

The candidate treats the displayed numbers as raw data and applies the standard formula mechanically, without asking what each number represents or whether the sample space changed.

What to do instead

Restate the data structure in one sentence ('two groups of sizes 20 and 30 with means ...') before computing. For probability, write the sample space before and after each event. For weighted means, multiply each group mean by its count, sum, then divide by the total count.

Mistake 8

The candidate reads a table or described data set and answers about the wrong subgroup or the wrong statistic, for example giving the median when the question asks for the mode, or reading a row total when a column percentage is requested.

Tables and multi-part stems impose reading load, and the candidate locates the needed numbers quickly then answers from memory of the question rather than re-reading the exact ask.

What to do instead

Circle the row and column labels involved and write the requested statistic name at the top of the scratch work. Compute, then re-read the stem one final time and confirm both the subgroup and the statistic match.

Mistake 9

On reading comprehension, the candidate selects an answer that is true in general or supported by outside knowledge but not stated or implied in the passage, or picks an answer that overstates the author's claim.

The candidate answers from prior knowledge and personal opinion, and attractive distractors are written to sound reasonable, so plausibility substitutes for textual evidence.

What to do instead

For every option, locate the specific sentence or paraphrase in the passage that supports it, or eliminate it for lacking one. Flag extreme words (all, never, proves) and check whether the passage commits that far. Practice justifying each choice with a line reference before moving on.

Mistake 10

On writing and language items, the candidate chooses the answer that sounds most formal or most familiar rather than the one that fits the sentence's grammar and logic, producing subject-verb disagreement, dangling modifiers, or a transition word that reverses the intended contrast.

The candidate reads for overall gist and trusts how a sentence sounds, which fails on long sentences with intervening phrases and on transition questions where both clauses are individually correct.

What to do instead

For each item, isolate the subject and verb and check agreement across the intervening phrase. For modifiers, confirm the opening phrase describes the noun right after the comma. For transitions, label the relationship between the two sentences as same-direction or opposite before choosing.