GMAT Quant: Lessons & Preparation Route
Short lessons, worked examples, and practice that connects.
Divisibility and integer structure
An integer constraint is information. Factorization tells you which groups are possible, which schedules align, and which divisibility requirements a product satisfies.
Fractions as budgets and relationships
A fraction has a reference whole. In a budget problem, a fraction of the remainder differs from the same fraction of the original budget.
Price changes and simple interest
Price, cost, revenue and profit describe different quantities. A percentage becomes meaningful only after its base is specified.
Partnerships, mixtures and ages
A ratio describes relative amounts. The total fixes the scale, while adding to one category changes the ratio even when the other category stays constant.
Travel rates and relative motion
A rate converts time into distance or output. Decide which quantity is shared before choosing a shortcut for an average.
Work, capacity and net rates
Work rates measure a fraction of a complete job per unit time. Rates combine when contributors work simultaneously under the stated constant-rate assumptions.
Fixed costs and break-even decisions
A linear model separates a fixed amount from a change per unit. The fixed charge is the value at zero, which need not be the first observed value.
Quadratic structure with restrictions
A quadratic may encode a product, a profit model or two possible roots. The context determines which solutions can be used.
Budgets, bounds and integer decisions
An inequality describes a range rather than one value. A business constraint may add an integer requirement, turning an interval endpoint into a rounding decision.
Exponents, cycles and growth
Exponents describe repeated multiplication, including repeated growth. Last-digit questions depend on modular cycles rather than calculating a huge power.
Sequences and accumulated totals
A sequence can change by a constant difference or a constant ratio. The term number and the number of changes are related but differ by one.
Counting cases and simple probability
Counting starts by deciding whether order matters and whether categories overlap. A probability compares favorable cases with the relevant total of equally likely cases.
Prime factors constrain the answer
Use parity restrictions, inverse divisor counts and prime-exponent lower bounds.
Exact powers and precision bounds
Propagate rounding intervals, eliminate repeating tails and compare prime-power representations.
Recover and test sequence rules
Sum variable increments, track ordered updates and reconstruct endpoints from geometric constraints.
Read functions as instructions
Track composed domains, operation grouping, cumulative price tiers and reverse sign-constrained processes.
Reason across feasible regions
Use endpoint, sign and domain constraints to find permitted values.
Averages reveal totals
Convert means to totals before adding, removing or mixing observations.
Direct, inverse and joint relationships
Read which variables are proportional and what stays fixed.
Money, bases and compounding
Distinguish final balances, profits, margins and revenue multipliers.
Track the substance that remains
Separate total volume, dissolved substance and transferred amounts.
Choose a reference frame
Translate moving objects and mixed consumption into consistent rates.
Count permitted selections
Reserve required members and subtract forbidden cases without ordering a committee.
Statistics with unknown observations
Use sorting, extremes and spread transformations to constrain missing values.
Selected Quantitative Reasoning foundations, not a complete GMAT course.