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GMAT Available Summer 2026

GMAT® Verbal Quantitative

The course teaches GMAT Focus Edition verbal and quantitative reasoning, covering arithmetic, algebra, geometry, statistics, counting, and probability, emphasizing formula recall, multi‑step problem solving, and critical reasoning for business school admission.

Who Should Take This

Graduate‑bound applicants who have completed undergraduate math coursework and need to sharpen their quantitative and verbal skills for the GMAT Focus Edition will benefit. They are typically early‑career professionals or recent graduates aiming for top‑tier business schools and require a concise, formula‑focused review that aligns with the exam’s analytical reasoning standards.

What's Included in AccelaStudy® AI

Adaptive Knowledge Graph
Practice Questions
Lesson Modules
Console Simulator Labs
Exam Tips & Strategy
20 Activity Formats

Course Outline

72 learning goals
1 Arithmetic and Number Properties
3 topics

Fractions, Decimals, and Percents

  • Identify and describe the rules for converting between fractions, decimals, and percents, including common equivalencies such as 1/4 = 0.25 = 25%.
  • Apply percent change formulas to calculate percent increase, percent decrease, and successive percent changes in multi-step business and financial word problems.
  • Solve problems involving ratios and proportions, including setting up and cross-multiplying proportional relationships in rate, mixture, and scaling contexts.

Exponents and Roots

  • Define the rules of exponents including product rule, quotient rule, power rule, zero exponent, and negative exponent, and recognize their application to simplification.
  • Apply exponent and radical rules to simplify expressions involving fractional exponents, nested radicals, and rationalizing denominators in GMAT-style problems.

Number Properties

  • Identify prime numbers, describe the Fundamental Theorem of Arithmetic, and list divisibility rules for 2, 3, 4, 5, 6, 8, and 9.
  • Apply prime factorization to determine the greatest common factor and least common multiple of two or more integers in problem-solving contexts.
  • Solve remainder and modular arithmetic problems, including determining patterns in remainders when dividing by specific integers and applying the remainder cycle concept.
  • Analyze problems involving even and odd number properties, positive and negative integer constraints, and absolute value to determine valid ranges or outcomes.
2 Algebra
3 topics

Linear Equations and Inequalities

  • Describe the standard forms of linear equations and state the methods for solving single-variable and systems of linear equations, including substitution and elimination.
  • Solve systems of two linear equations with two unknowns using substitution and elimination methods, and interpret the solution in word problem contexts.
  • Apply rules for solving and graphing linear inequalities, including compound inequalities and the effect of multiplying or dividing by negative numbers.

Quadratic Equations and Functions

  • Recognize the standard form, vertex form, and factored form of quadratic equations, and state the quadratic formula and discriminant conditions for real solutions.
  • Solve quadratic equations by factoring, completing the square, and applying the quadratic formula, selecting the most efficient method for each problem type.
  • Analyze the relationship between a quadratic equation's discriminant and the number and nature of its solutions to determine feasibility constraints in word problems.

Absolute Value and Functions

  • Define absolute value and describe the process for solving absolute value equations and inequalities, including cases that produce two solution branches.
  • Solve absolute value equations and inequalities by considering both positive and negative cases and verifying solutions against the original constraint.
  • Interpret function notation, evaluate composite functions, and determine the domain and range of functions defined by algebraic expressions in GMAT problem contexts.
3 Word Problems
4 topics

Rate, Work, and Distance Problems

  • Apply the distance-rate-time formula to solve problems involving constant speed, relative speed, and objects moving toward or away from each other.
  • Solve combined work rate problems where multiple workers or machines operate together or in alternating shifts to complete a task.
  • Analyze multi-leg journey problems where speed, time, or distance changes between segments, requiring setup of multiple equations and strategic variable elimination.

Mixture and Interest Problems

  • Solve mixture problems involving combining solutions of different concentrations or prices to achieve a target concentration or average price.
  • Calculate simple and compound interest, and solve problems involving principal, rate, time, and total amount for single and multi-period investment scenarios.

Sets, Venn Diagrams, and Profit/Loss

  • Apply the inclusion-exclusion principle for two and three overlapping sets using Venn diagrams to determine the number of elements in unions and intersections.
  • Solve profit, loss, and discount problems involving cost price, selling price, markup percentage, and successive discount calculations in business contexts.
  • Analyze sequence and pattern problems including arithmetic sequences, geometric sequences, and recursively defined sequences to determine specific terms or sums.

Complex Multi-Step Word Problems

  • Determine the optimal problem-solving approach for complex word problems by identifying the underlying mathematical structure and selecting translation, backsolving, or estimation strategies.
  • Evaluate multi-constraint word problems requiring simultaneous consideration of rate, cost, quantity, and percentage conditions to find a feasible solution.
4 Geometry
3 topics

Lines, Angles, and Triangles

  • Identify and describe the properties of parallel lines cut by a transversal, including alternate interior angles, corresponding angles, and supplementary angle relationships.
  • State the triangle inequality theorem, angle sum property, and properties of isosceles, equilateral, and right triangles including the Pythagorean theorem and special right triangles.
  • Apply the Pythagorean theorem and special right triangle ratios (30-60-90, 45-45-90) to calculate unknown side lengths and areas in geometric problem contexts.
  • Analyze problems involving similar and congruent triangles to determine unknown measurements using proportional reasoning and angle-angle-angle or side-angle-side criteria.

Circles and Quadrilaterals

  • List the formulas for circumference, area, arc length, and sector area of a circle and describe the relationships among radius, diameter, and central angle.
  • Calculate the area and perimeter of rectangles, squares, parallelograms, and trapezoids, and solve problems combining multiple geometric shapes into composite figures.
  • Analyze problems involving inscribed and circumscribed figures, such as a triangle inscribed in a circle or a square inscribed in a circle, to determine relationships between dimensions.

Coordinate Geometry

  • Describe the slope-intercept and point-slope forms of a line, define slope as rise over run, and state the conditions for parallel and perpendicular lines in the coordinate plane.
  • Apply the distance formula and midpoint formula to calculate distances between points and locate midpoints on line segments in the coordinate plane.
  • Determine the equation of a line passing through given points or satisfying specified slope and intercept conditions, and find the intersection point of two lines.
  • Analyze coordinate geometry problems that integrate algebraic and geometric concepts, such as finding the area of a triangle given vertex coordinates or determining reflection symmetry.
5 Statistics, Counting, and Probability
3 topics

Descriptive Statistics

  • Define mean, median, mode, range, and weighted average, and describe how each measure summarizes a data set differently.
  • Calculate the mean, median, and weighted average of data sets and solve problems involving changes to data values and their effects on these measures.
  • Describe the concept of standard deviation as a measure of spread and recognize how changes in data values (adding a constant, multiplying by a constant) affect the standard deviation.
  • Analyze data sets to compare distributions using mean, median, range, and standard deviation, and evaluate which statistical measure best characterizes a given scenario.

Counting Methods

  • State the fundamental counting principle and define permutations and combinations, distinguishing when order matters and when it does not.
  • Apply permutation and combination formulas to count arrangements and selections in problems involving committees, seating arrangements, and code formation.
  • Analyze counting problems involving restrictions, repetitions, and circular arrangements by decomposing the problem into sub-cases and applying complementary counting.

Probability

  • Define probability as favorable outcomes over total outcomes, and describe the addition rule for mutually exclusive events and the multiplication rule for independent events.
  • Calculate probabilities of compound events using multiplication and addition rules, including problems with and without replacement from defined sample spaces.
  • Evaluate probability problems involving complementary events, conditional probability, and combined independent trials to determine the likelihood of complex outcomes.
6 Critical Reasoning
4 topics

Argument Structure and Components

  • Identify the components of an argument — conclusion, premises, assumptions, and background information — in GMAT Critical Reasoning passages of varying complexity.
  • Describe common argument patterns including causal reasoning, analogy-based reasoning, statistical sampling arguments, and arguments from authority as they appear on the GMAT.
  • Classify the role that specific boldface statements play in an argument, determining whether each serves as a conclusion, premise, counter-premise, or background claim.

Strengthen and Weaken Questions

  • Apply the process of identifying the gap between premises and conclusion to select answer choices that most strengthen an argument by providing supporting evidence or eliminating alternatives.
  • Apply the process of targeting an argument's assumption or logical gap to select answer choices that most weaken the argument by introducing counter-evidence or alternative explanations.
  • Evaluate which of multiple answer choices provides the strongest support or most effectively undermines a causal, statistical, or analogy-based argument.

Assumption and Inference Questions

  • Identify the unstated necessary assumption that must be true for an argument's conclusion to logically follow from its premises, using the negation test to verify.
  • Distinguish between a sufficient assumption (which guarantees the conclusion) and a necessary assumption (without which the conclusion fails) in GMAT-style arguments.
  • Determine which answer choice must be true based solely on the information stated in a Critical Reasoning passage, differentiating inferences from unsupported extrapolations.

Evaluate and Explain Questions

  • Interpret evaluate-the-argument questions by identifying which piece of additional information, if known, would be most useful in assessing the strength of the argument.
  • Solve explain-or-resolve-a-discrepancy questions by selecting the answer choice that accounts for an apparent contradiction between two stated facts.
  • Analyze complex arguments containing multiple premises and counterarguments to determine the overall logical validity and identify the most critical vulnerability.
7 Reading Comprehension
4 topics

Main Idea and Primary Purpose

  • Identify the main idea and primary purpose of business, science, and social science reading passages by distinguishing the author's central claim from supporting details.
  • Classify the organizational structure of a passage — comparison, cause-effect, problem-solution, chronological, or hypothesis-evaluation — and explain how structure supports the main argument.

Detail and Inference Questions

  • Locate and interpret specific factual details within a passage, distinguishing between directly stated information and paraphrased versions of the author's claims.
  • Draw valid inferences from passage content by combining explicitly stated premises to reach conclusions that are logically supported but not directly stated.
  • Evaluate which inference among multiple answer choices is most strongly supported by the passage, eliminating options that overstate, understate, or distort the author's reasoning.

Tone, Purpose, and Application

  • Identify the author's tone and attitude (e.g., critical, supportive, neutral, skeptical) by recognizing language cues, word choice, and rhetorical strategies within the passage.
  • Apply the reasoning or principles from a passage to a new scenario described in the question stem, determining which outcome would be consistent with the author's argument.
  • Assess the function of a specific paragraph, sentence, or phrase within the larger argument of the passage, determining whether it provides evidence, counterargument, qualification, or transition.

Complex Passage Analysis

  • Compare and contrast two competing viewpoints or theories presented within a single passage, identifying points of agreement, disagreement, and the author's position relative to each.
  • Evaluate the strength of evidence presented in a passage by determining whether the author's conclusions are adequately supported, identifying logical gaps or unstated assumptions.
  • Determine the most likely purpose of specific examples, data, or case studies cited by the author, distinguishing illustrative support from core argumentative evidence.

Scope

Included Topics

  • GMAT Focus Edition Quantitative Reasoning section: arithmetic operations with fractions, decimals, percents, ratios, proportions, exponents, and roots; algebraic expressions, linear and quadratic equations, inequalities, absolute value, and functions; word problems involving rate and work, mixtures, sets and Venn diagrams, profit and loss, and sequences; number properties including primes, factors, divisibility rules, and remainders; coordinate geometry, properties of lines, angles, triangles, quadrilaterals, and circles, area and perimeter calculations; descriptive statistics including mean, median, mode, range, weighted averages, and standard deviation concepts; counting methods and probability.
  • GMAT Focus Edition Verbal Reasoning — Critical Reasoning: identifying argument structure (conclusion, premises, assumptions), strengthen and weaken question types, necessary and sufficient assumption questions, inference and must-be-true questions, evaluate-the-argument questions, explain or resolve a discrepancy questions, and boldface structure questions.
  • GMAT Focus Edition Verbal Reasoning — Reading Comprehension: identifying main idea and primary purpose, locating specific details and factual information, drawing inferences from passage content, determining author's tone and attitude, analyzing logical structure and organization of passages, applying passage reasoning to new scenarios, and answering questions about specific information in business, science, and social science passages.
  • Problem-solving strategies for the GMAT Focus Edition: recognizing problem types, selecting efficient solution methods, using estimation and elimination techniques, managing time across question difficulty levels, and interpreting data presented in word problems.

Not Covered

  • Sentence Correction questions, which were removed from the GMAT in the 2023 Focus Edition redesign.
  • Data Insights section content including Data Sufficiency, Multi-Source Reasoning, Table Analysis, Graphics Interpretation, and Two-Part Analysis, which are covered in the separate Data Insights domain specification.
  • Advanced mathematics beyond the GMAT scope: calculus, trigonometry beyond basic right-triangle relationships, linear algebra, abstract algebra, and formal mathematical proofs.
  • Graduate-level logic, formal symbolic logic notation, and philosophical argumentation methods not tested on the GMAT.
  • Test-taking logistics such as registration procedures, scoring algorithms, and adaptive testing mechanics.

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