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Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance Syllabus
The Foundational Skills and Error Avoidance syllabus for Graduate Management Admission Test (GMAT) in full: 3 chapters, 9 topics and 11 sub-topics, every one listed below, plus 50 Foundational Skills and Error Avoidance flashcards with answers.
Foundational Skills and Error Avoidance syllabus: all 3 chapters
Expand any chapter to see its topics and sub-topics.
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Mental Maths and Computation
3 topics- Fast Calculation Techniques
- Common fraction-percentage equivalents
- Squares, cubes and useful number facts
- Working Without a Calculator
- Quant section calculator restriction
- On-screen calculator in Data Insights
- Avoiding Computational Errors
- Sign and decimal-place mistakes
- Fast Calculation Techniques
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English Language Precision
3 topics- Grammar for Verbal Accuracy
- Subject-verb agreement
- Pronoun reference and modifiers
- Reading Dense Prose
- Parsing long and complex sentences
- Vocabulary in Context
- Grammar for Verbal Accuracy
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Common Trap Recognition
3 topics- Quant Answer Traps
- Partial-answer and reversed-value traps
- Verbal Answer Traps
- Out-of-scope and extreme-language choices
- Data Insights Traps
- Misreading units, axes and scales
- Quant Answer Traps
Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance flashcards — 50 questions with answers
What is the fast technique for multiplying a number by 5 without a calculator?
Multiply by 10 and then halve the result (since $5 = \frac{10}{2}$). For example, $48 \times 5 = \frac{480}{2} = 240$.
How can you quickly multiply a two-digit number by 11 (e.g. $11 \times 36$)?
Split the digits, add them, and place the sum in the middle: $3\,(3+6)\,6 = 396$. If the inner sum exceeds 9, carry the tens digit to the left.
What fraction equivalents should be memorized for the percentages $12.5\%$, $16.\overline{6}\%$, $33.\overline{3}\%$, $37.5\%$ and $66.\overline{6}\%$?
$12.5\% = \frac{1}{8}$, $16.\overline{6}\% = \frac{1}{6}$, $33.\overline{3}\% = \frac{1}{3}$, $37.5\% = \frac{3}{8}$, and $66.\overline{6}\% = \frac{2}{3}$.
What is the fast way to find a percentage such as $15\%$ of a number mentally?
Break it into $10\% + 5\%$: find $10\%$ by moving the decimal one place left, then add half of that for the $5\%$. E.g. $15\%$ of $80 = 8 + 4 = 12$.
What is the difference-of-squares shortcut for products like $48 \times 52$?
Use $(a-b)(a+b) = a^{2} - b^{2}$ around the midpoint: $48 \times 52 = 50^{2} - 2^{2} = 2500 - 4 = 2496$.
How do you quickly square a number ending in 5, such as $35^{2}$?
Take the tens digit $n$, compute $n(n+1)$, and append $25$. For $35$: $3 \times 4 = 12$, so $35^{2} = 1225$.
What is a fast method to divide a number by 5?
Multiply by 2 and divide by 10 (since $\div 5 = \times \frac{2}{10}$). E.g. $135 \div 5 = \frac{270}{10} = 27$.
In fast calculation, why is it usually better to simplify (cancel) before multiplying fractions?
Cancelling common factors first keeps the numbers small and reduces arithmetic errors, e.g. $\frac{8}{15} \times \frac{5}{12} = \frac{8}{12} \times \frac{5}{15} = \frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$.
What is the divisibility rule for 3 and for 9?
A number is divisible by 3 if the sum of its digits is divisible by 3, and divisible by 9 if the digit sum is divisible by 9.
What are the divisibility rules for 4 and 8?
A number is divisible by 4 if its last two digits form a number divisible by 4, and divisible by 8 if its last three digits form a number divisible by 8.
What is the divisibility rule for 11?
Take the alternating sum of the digits; if the result (including 0) is divisible by 11, the number is divisible by 11. E.g. for $2728$: $2-7+2-8 = -11$, which is divisible by 11.
When working without a calculator, how should you estimate $\sqrt{50}$?
Bracket it between perfect squares: $\sqrt{49}=7$ and $\sqrt{64}=8$, so $\sqrt{50} \approx 7.07$, just above 7.
What is the benchmark approximation for $\sqrt{2}$, $\sqrt{3}$, and $\sqrt{5}$?
$\sqrt{2} \approx 1.41$, $\sqrt{3} \approx 1.73$, and $\sqrt{5} \approx 2.24$.
Without a calculator, how do you compare two fractions like $\frac{3}{7}$ and $\frac{5}{11}$?
Cross-multiply: compare $3 \times 11 = 33$ with $5 \times 7 = 35$. Since $33 < 35$, $\frac{3}{7} < \frac{5}{11}$.
What estimation strategy reduces error when answer choices are spread far apart?
Round each value to convenient benchmarks and approximate, since wide-spread choices mean precise computation is unnecessary; pick the closest answer to your estimate.
When dividing by a decimal without a calculator, what should you do first?
Multiply both the dividend and divisor by the same power of 10 to make the divisor a whole number, e.g. $\frac{4.2}{0.07} = \frac{420}{7} = 60$.
What is a reliable process to catch a computational error after solving a problem?
Estimate the expected magnitude before computing, then check that your exact answer is consistent with that estimate; a large mismatch signals an arithmetic slip.
What is the 'units digit check' for verifying a multiplication?
The units digit of a product equals the units digit of the product of the operands' units digits. E.g. $123 \times 47$ must end in $1$, because $3 \times 7 = 21$.
Why is keeping track of signs a major source of avoidable error, and how do you guard against it?
Sign mistakes flip results entirely; guard by writing each negative explicitly, using brackets when substituting (e.g. $(-3)^{2} = 9$, not $-9$), and re-checking the sign of the final answer.
What error commonly arises from misreading question units (e.g. minutes vs. hours), and how is it avoided?
Answers come out off by a conversion factor; avoid it by underlining the units in the question and confirming your final answer is expressed in the units asked for.
Show the other 30 Foundational Skills and Error Avoidance flashcards
What is a key process check to avoid errors when solving equations with fractions?
Clear denominators by multiplying every term by the least common denominator first, reducing the chance of fraction-arithmetic mistakes.
Why should you re-read the final question (the 'question stem prompt') before selecting an answer?
Many traps give the value of an intermediate quantity (e.g. $x$) when the question asks for something else (e.g. $2x$ or $x+1$); re-reading ensures you answer what was actually asked.
In grammar for verbal accuracy, what is subject-verb agreement and a common trap that violates it?
A verb must agree in number with its subject. A common trap inserts a prepositional phrase between them, e.g. 'The box of chocolates *is* (not *are*) on the table'—the subject is 'box', not 'chocolates'.
What is a misplaced (or dangling) modifier, with an example?
A modifier positioned so it appears to describe the wrong noun. E.g. 'Running to the bus, my keys fell out'—the keys are not running; it should be 'Running to the bus, I dropped my keys.'
What is faulty parallelism in a sentence, and how is it corrected?
Items in a list or comparison must share the same grammatical form. 'She likes hiking, swimming, and to bike' is faulty; correct to 'hiking, swimming, and biking.'
What is the rule for pronoun-antecedent agreement?
A pronoun must agree with its antecedent in number and have a single, unambiguous referent. 'Each student must bring *their* book' is non-standard in formal usage; use 'his or her book' or recast in plural.
On the GMAT, when is the use of 'like' correct versus 'as'?
Use 'like' to compare nouns (no verb): 'She runs like a cheetah'; use 'as' to introduce a clause containing a verb: 'She runs as a cheetah does.'
What is the grammatical distinction between 'fewer' and 'less'?
Use 'fewer' for countable nouns ('fewer apples') and 'less' for uncountable/mass nouns ('less water').
What is the difference between 'that' and 'which' in restrictive vs. non-restrictive clauses?
'That' introduces a restrictive (essential) clause with no comma; 'which' introduces a non-restrictive (extra-information) clause set off by commas.
What is the recommended first step when reading dense prose passages on the GMAT?
Identify the passage's main point and structure (purpose of each paragraph) rather than memorizing details, so you can locate specifics later when questions demand them.
What does it mean to map a passage's structure, and why does it aid reading dense prose?
Mapping means noting each paragraph's function (e.g. introduces theory, raises objection, gives evidence). It builds a mental outline that speeds up locating relevant text for detail and inference questions.
What role do transition/signal words play when reading dense prose?
Words like 'however', 'therefore', 'in contrast', and 'for example' flag shifts in argument, contrasts, conclusions, or support, helping you track the logical flow without re-reading.
How should you handle a sentence in dense prose that you do not understand on first read?
Read for the gist and the role the sentence plays in the argument rather than every detail; return to decode it precisely only if a question targets that sentence.
What is the difference between a 'main idea' question and a 'detail' question in Reading Comprehension?
A main-idea question asks for the central thesis or primary purpose of the whole passage; a detail question asks for a specific fact explicitly stated in the text.
What does 'vocabulary in context' require you to determine?
The meaning a word carries in its specific sentence, which may differ from its most common dictionary definition; the surrounding context determines the intended sense.
What is the recommended process for answering a vocabulary-in-context question?
Cover the word, predict a replacement that fits the sentence's logic from context clues, then match your prediction to the closest answer choice.
Why are the most common meanings of a word often trap answers in vocabulary-in-context questions?
Test-writers exploit familiar primary definitions; the tested word frequently uses a secondary or specialized meaning, so the obvious common definition is a deliberate distractor.
What is a common Quant answer trap involving the question 'how many of X are NOT...'?
The trap offers the count that *are* X (the complement). Always note negations like 'not', 'except', or 'least' and answer the exact quantity asked.
What Quant trap arises from assuming a variable is a positive integer?
Unless stated, a variable may be negative, zero, or a fraction. Solutions like $x^{2} = 4$ give $x = 2$ or $x = -2$, and dividing by a variable assumed positive can lose or add solutions.
In a Quant problem, what is the 'partial answer' trap?
An answer choice equals a correct intermediate value rather than the final requested quantity—e.g. you solve for the cost of one item when the question asks for the total cost.
What classic percentage trap involves a price increasing then decreasing by the same percentage?
A rise of $x\%$ followed by a fall of $x\%$ does not return to the original; the net change is a decrease of $\frac{x^{2}}{100}\%$. E.g. $+20\%$ then $-20\%$ gives $0.96$ of the original.
What is the average-speed trap for a round trip at two different speeds?
Average speed is not the arithmetic mean of the speeds. For equal distances use the harmonic mean: $\text{avg speed} = \frac{2 v_1 v_2}{v_1 + v_2}$.
What Data Sufficiency answer trap involves combining statements unnecessarily?
If either statement alone is sufficient, the answer is D, not C. The trap tempts you to combine statements (C) when one alone already suffices.
In Data Sufficiency, what does the 'C trap' specifically refer to?
When the two statements together obviously give the answer, test-takers pick C without checking whether each statement alone is sufficient, missing that the answer may be A, B, or D.
What is a common Verbal (Critical Reasoning) trap answer that is 'out of scope'?
A choice introduces information or a consideration not relevant to the specific argument's conclusion; it may be true or appealing but does not affect the reasoning being evaluated.
In Critical Reasoning strengthen/weaken questions, what is the 'opposite answer' trap?
A tempting choice does the reverse of what is asked—weakening when you need to strengthen, or vice versa—exploiting hasty reading of the question stem.
What is the 'extreme language' trap in Verbal answer choices?
Choices using absolute words like 'always', 'never', 'all', or 'none' are often too strong to be supported by the passage; correct answers tend to use measured language.
In Reading Comprehension, what is the 'true but not the answer' trap?
A choice states something accurate per the passage but does not respond to the specific question asked, so it is wrong despite being factually correct.
What is a Data Insights trap when interpreting a graph or table?
Confusing correlation with causation, or misreading axis scales/units (e.g. logarithmic axes, thousands vs. millions); always confirm what each axis and unit represents before drawing conclusions.
In Data Insights multi-source reasoning, what trap arises from using only one source?
Questions often require synthesizing information across tabs/sources; relying on a single source yields a plausible but incomplete (and wrong) answer. Always check whether other sources are needed.
Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance FAQ
What is in the Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance syllabus?
Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance is split into 3 chapters: Mental Maths and Computation, English Language Precision and Common Trap Recognition. Together they contain 9 topics and 11 sub-topics.
How many chapters are in Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance?
3 chapters, containing 9 topics and 11 sub-topics. The largest chapter is Mental Maths and Computation, with 3 topics.
Are there flashcards for Graduate Management Admission Test (GMAT) Foundational Skills and Error Avoidance?
Yes — a 50-card Foundational Skills and Error Avoidance deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.