GRE General Test: Quantitative Reasoning
Structured GRE Quant preparation pagePrepare for GRE General Test Quantitative Reasoning with 10 focused sections covering arithmetic, proportional reasoning, algebra, equations, graphs, geometry, statistics, probability, counting, and application-heavy question formats such as rates, mixtures, and Quantitative Comparison. The structure supports deliberate revision, stronger topic coverage, and faster access to section-based practice.
10
Focused sections Revise one GRE Quant domain at a time.
Broad
Concept plus calculation Covers both numerical fluency and reasoning-heavy problem types.
Skill
Interpret plus apply Built for GRE-style comparison, analysis, and efficient solving.
Fast
Quick access Open any section instantly in a new tab for targeted practice.
What This GRE Quantitative Reasoning Page Covers
This GRE Quantitative Reasoning hub is organised into 10 focused sections so learners can revise strategically instead of treating the entire test as one undivided topic. The structure moves from arithmetic and proportional reasoning into algebra, equations, graphs, geometry, data interpretation, probability, counting, and the applied logic used in GRE Quantitative Comparison.
Combine core skill sections with application-heavy sections so speed, accuracy, and reasoning improve together.
1. Arithmetic Foundations and Number Properties
Build the core number sense needed for GRE Quant by mastering integers, divisibility, factors, multiples, remainders, exponents, roots, and the logic of positive, negative, and zero-based constraints.
- Order of operations, nested expressions, and the key arithmetic properties used in fast simplification
- Absolute value, opposites, reciprocals, sign patterns, and distance on the number line
- Prime numbers, prime factorisation, divisibility rules, greatest common factor, and least common multiple
- Remainders, modular-style patterns, and consecutive integer reasoning
- Exponent rules, roots, fractional exponents, and basic scientific notation
- Integer restrictions such as positive integer, non-negative integer, even, odd, and consecutive sets
2. Fractions, Decimals, Percents, and Ratios
Strengthen the proportional reasoning that appears throughout GRE Quant by mastering fraction operations, decimal conversions, percent change, ratio scaling, and rate-based comparisons.
- Simplifying, comparing, and operating with fractions, mixed numbers, and complex fractions
- Decimal place value, rounding, scaling by powers of ten, and repeating-decimal conversion ideas
- Percent increase, percent decrease, reverse-percent questions, and successive percent changes
- Percentage points versus percent change in comparison questions
- Part-to-part and part-to-whole ratios, unit rates, and proportional relationships
- Direct variation and ratio-based interpretation in application questions
3. Real Numbers, Algebraic Expressions, and Manipulation
Develop the algebraic fluency required for GRE Quant by working confidently with rational and irrational numbers, expression simplification, factoring, radicals, and substitution-based manipulation.
- Rational versus irrational numbers, terminating versus repeating decimals, and estimation of radical values
- Combining like terms, distributing correctly, and translating words into symbolic expressions
- Expanding products, recognising special products, and factoring common GRE-style expressions
- Simplifying rational expressions while respecting domain restrictions
- Exponent laws including negative and fractional exponents
- Radical simplification, operations with radicals, and rationalising denominators when needed
4. Equations and Inequalities in One Variable
Prepare for equation-solving and inequality-based questions by mastering linear equations, literal equations, quadratics, absolute value, hidden constraints, and extraneous-solution checks.
- Multi-step linear equations, equations involving fractions or decimals, and formula rearrangement
- Word-to-equation translation with attention to restrictions and variable meaning
- Quadratic equations solved by factoring, completing the square ideas, or the quadratic formula
- Linear inequalities, compound inequalities, and the effect of multiplying by a negative quantity
- Absolute value equations and inequalities in standard GRE form
- Radical and rational equations, domain restrictions, and checking for extraneous solutions
5. Coordinate Geometry and Graphs
Build graph-reading confidence for GRE Quant by mastering slope, intercepts, equations of lines, systems, distance, midpoint, and interpretation of nonlinear graphs and transformations.
- Points, quadrants, axes, midpoint, and distance on the coordinate plane
- Slope as rate of change and slope calculation from two points
- Slope-intercept, point-slope, and standard-form equations of lines
- Parallel and perpendicular line relationships and interpretation of intercepts
- Systems of lines, intersection meaning, and the number of solutions
- Basic interpretation of parabolas, circles, piecewise graphs, and simple graphical transformations
6. Plane Geometry and Measurement
Strengthen your two-dimensional geometry coverage by revising angles, triangles, quadrilaterals, circles, polygon relationships, and measurement ideas that often appear in GRE diagram and non-diagram questions.
- Complementary, supplementary, vertical, and transversal-based angle relationships
- Triangle angle sum, triangle inequality, isosceles properties, and right-triangle reasoning
- Pythagorean theorem, common triples, area formulas, and similar-triangle scale relationships
- Parallelograms, rectangles, squares, trapezoids, and polygon interior-angle reasoning
- Circle basics including radius, diameter, circumference, area, arcs, sectors, chords, and tangents
- Coordinate-based geometry using distance, area, and perimeter from plotted points
7. Solid Geometry and Advanced Measurement
Prepare for three-dimensional measurement by mastering volume, surface area, prism and pyramid relationships, cylinders, cones, spheres, and composite-solid reasoning.
- Rectangular solids and cubes, including volume and surface-area relationships
- Cylinders, cones, and spheres in standard GRE measurement form
- Prism and pyramid volume as base-area times height with correct height interpretation
- Composite solids formed by adding or removing sections
- Unit conversion in area and volume contexts
- Surface area through nets and decomposition of faces into simpler shapes
8. Data Analysis, Statistics, and Interpretation
Develop the statistical and graph-reading skill required for GRE Quant by working with tables, charts, averages, spread, percentiles, weighted values, and data transformations.
- Reading tables, bar charts, line graphs, scatterplots, and two-way tables accurately
- Mean, median, mode, and weighted average in straightforward and trap-based forms
- Range, quartiles, interquartile range, percentiles, and conceptual standard deviation comparisons
- Outliers and their effect on mean, median, and spread
- How adding or multiplying all values changes central tendency and dispersion
- Average rate and trend comparison from graphs and structured data displays
9. Probability, Counting, and Combinatorics
Strengthen your event-counting and uncertainty reasoning by mastering basic probability, complements, conditional probability, counting principles, permutations, and combinations.
- Probability as favourable outcomes over total outcomes and the complement rule
- Union, intersection, mutually exclusive events, and independence versus dependence
- Conditional probability and restricted sample-space reasoning
- Fundamental counting principle and organised casework
- Permutations, combinations, and selection problems with restrictions
- Without-replacement situations and probability questions built from counting methods
10. Word Problems, Rates, Mixtures, and Quantitative Comparison Logic
Bring the major GRE Quant application shells together by practising rates, work, mixtures, finance-style arithmetic, set reasoning, and the logic-driven strategies used in Quantitative Comparison.
- Distance-rate-time, average speed, and round-trip reasoning
- Work-rate problems with combined work, partial completion, and changing rates
- Mixtures, concentration, dilution, weighted averages, and target-composition questions
- Simple interest, growth and decay, profit, cost, revenue, and margin-style arithmetic
- Set language, Venn-diagram reasoning, and inclusion-exclusion counting
- Quantitative Comparison strategy using simplification, test values, sign analysis, boundary cases, and trap detection
Choose a GRE Quantitative Reasoning Practice Section
Select any section below to open its dedicated practice page in a new tab. This layout makes it easier to focus on the exact GRE Quant topic area that needs the most attention.
Each section opens separately so you can revise one GRE Quant topic cluster at a time without losing track of your study plan.
A clearer way to prepare for GRE Quantitative Reasoning
GRE Quantitative Reasoning questions usually require more than recalling formulas. Strong performance depends on interpreting conditions correctly, choosing efficient methods, comparing quantities carefully, and working confidently across numbers, algebra, graphs, geometry, statistics, and applied word problems.
This page turns the GRE Quant syllabus into a structured revision route. Instead of revising randomly, learners can move from numerical foundations into algebra, equations, graphs, geometry, data analysis, probability, counting, and application-driven reasoning in a deliberate order.
The structure is especially useful for graduate-school applicants, tutors, and independent learners who want a clearer study sequence and faster access to targeted practice. It also makes it easier to identify whether a weak score comes from arithmetic fluency, algebraic manipulation, geometry, data interpretation, or GRE-specific logic such as Quantitative Comparison.
Why this structure helps
Frequently Asked Questions
These short answers help learners and tutors understand how this GRE Quantitative Reasoning page can be used more effectively.
Who is this GRE Quantitative Reasoning page designed for?
This page is designed for graduate-school applicants, tutors, and independent learners preparing for the GRE General Test Quantitative Reasoning measure.
Does the page cover both core maths and GRE-specific logic?
Yes. The structure includes core quantitative areas such as arithmetic, algebra, geometry, and statistics together with application-heavy domains such as rates, mixtures, counting, probability, and Quantitative Comparison logic.
Can learners use the sections in any order?
Yes. The sections can be revised in any order, although many learners benefit from strengthening numerical and algebraic foundations before moving into heavier application and comparison questions.
Why is Quantitative Comparison logic included in the final section?
Quantitative Comparison draws on several earlier topics at once, so keeping it in the final application section helps learners bring arithmetic, algebra, graph interpretation, and strategic reasoning together.