GRE General Test · Quantitative Reasoning

Free GRE General Test Quantitative Reasoning Practice, Organised Into 10 Focused Sections

Build a disciplined GRE preparation pathway across arithmetic, algebra, equations, geometry, data analysis, probability, rates, and quantitative comparison. Begin with free topic-based practice, diagnose weak areas, and move to premium timed and explanation-rich practice when you need greater depth.

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Sections10
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PreparationTimed + explained
ArithmeticAlgebraGeometryData Analysis
Free Quantitative Reasoning Practice

Start With Focused GRE Quantitative Reasoning Practice

Use the free pathway to begin immediately, work through one domain at a time, identify recurring weaknesses, and strengthen the knowledge and reasoning patterns tested in GRE Quantitative Reasoning.

  • No access code needed
  • Ten focused GRE sections
  • Targeted revision pathway
  • Direct topic-practice links
Premium Quantitative Reasoning Practice

Move From Topic Revision to Exam-Ready Practice

10domains reinforced through an expanded premium practice pathway

Use premium practice when you need higher-volume questions, worked explanations, broader reinforcement, and timed exam-style preparation across the full pathway.

  • Expanded GRE question bank
  • Worked explanations and error review
  • Timed exam-style practice
  • Reinforcement across all ten domains

Use free practice to diagnose weaknesses, then use premium practice for depth, repetition, explanations, and timed preparation.

GRE exam coverage

What the GRE General Test Quantitative Reasoning Practice Covers

Use the ten sections as a revision map. Review the scope of each domain, then open its corresponding free practice in a new tab.

01 Arithmetic Foundations and Number PropertiesBuild 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
Start Section 1 Free →
02 Fractions, Decimals, Percents, and RatiosStrengthen 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
Start Section 2 Free →
03 Real Numbers, Algebraic Expressions, and ManipulationDevelop 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
Start Section 3 Free →
04 Equations and Inequalities in One VariablePrepare 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
Start Section 4 Free →
05 Coordinate Geometry and GraphsBuild 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
Start Section 5 Free →
06 Plane Geometry and MeasurementStrengthen 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
Start Section 6 Free →
07 Solid Geometry and Advanced MeasurementPrepare 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
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08 Data Analysis, Statistics, and InterpretationDevelop 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
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09 Probability, Counting, and CombinatoricsStrengthen 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
Start Section 9 Free →
10 Word Problems, Rates, Mixtures, and Quantitative Comparison LogicBring 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
Start Section 10 Free →
GRE preparation overview

Why the Free and Premium Quantitative Reasoning Pathways Work Together

“Structured preparation makes it easier to identify what to study next and where more practice is needed.”

This page is designed specifically for GRE General Test Quantitative Reasoning preparation. Its ten sections organise arithmetic, algebra, equations, geometry, data analysis, probability, rates, and quantitative comparison into manageable domains so candidates can revise deliberately rather than practise at random.

The free pathway is useful for diagnosis and focused revision. The premium pathway adds greater practice depth, worked explanations, repetition, and timed exam-style preparation when you are ready to move beyond isolated topic review.

Candidates building a broader GRE study plan can return to the GRE practice hub or continue with GRE Verbal Reasoning, GRE Mathematics Subject Test, GRE Physics Subject Test, GRE Psychology Subject Test.

Better diagnosisTopic separation makes weak GRE domains easier to identify, revisit, and track.
Efficient revision flowMove between concept review, reasoning, application, and timed practice in a deliberate sequence.
Stronger GRE readinessFocused repetition supports accuracy, speed, confidence, and disciplined decision-making.
Have questions?

GRE General Test Quantitative Reasoning Frequently Asked Questions

Ten targeted answers about using this specific GRE Quantitative Reasoning preparation pathway effectively.

What does this Quantitative Reasoning page cover?

The page organises arithmetic, algebra, equations, geometry, data analysis, probability, rates, and quantitative comparison into ten focused GRE practice sections so you can revise the tested knowledge and reasoning skills systematically.

Are the ten Quantitative Reasoning practice sections free?

Yes. The ten topic-based practice sections can be opened without an access code. They are designed for diagnosis, focused revision, and repeated practice before moving to the premium pathway.

What is included in premium Quantitative Reasoning practice?

The premium pathway provides a larger GRE Quantitative Reasoning question bank, worked explanations, timed exam-style practice, and broader reinforcement across the ten domains on this page.

How should I use the ten Quantitative Reasoning sections?

Start with the domain where your accuracy is weakest, complete focused practice, review errors carefully, and then rotate through the remaining sections so preparation becomes balanced rather than concentrated in one area.

Can I use this page for timed GRE Quantitative Reasoning preparation?

Yes. Use the free sections first for topic control and error diagnosis, then use the premium pathway for higher-volume and timed exam-style practice when you are ready to train under greater pressure.

How do I identify weak areas in Quantitative Reasoning?

Compare your accuracy and confidence across the ten sections, especially across arithmetic, algebra, equations, geometry, data analysis, probability, rates, and quantitative comparison. Repeated errors in one section indicate where additional concept review and practice are needed.

Does the Quantitative Reasoning page include worked explanations?

The premium pathway is designed to include worked explanations so that mistakes can be reviewed systematically. The free pathway is primarily organised for immediate topic-based practice and diagnosis.

Should I complete the Quantitative Reasoning sections in numerical order?

Not necessarily. The numbered structure gives you a clear revision map, but you can begin with the section that needs the most attention and return to other sections as your preparation develops.

How should I move from free to premium Quantitative Reasoning practice?

Use the free sections to establish your baseline and identify recurring weaknesses. Move to premium when you need a larger question bank, worked explanations, broader reinforcement, and timed practice for exam readiness.

Can this page be used as part of a complete GRE study plan?

Yes. Combine this Quantitative Reasoning pathway with the other GRE practice areas available from the GRE hub, while allocating more revision time to the domains where your results show the greatest need.