Free GRE Math Solver

Paste any GRE Quantitative Reasoning question and get the full working — Quantitative Comparison, multiple choice, numeric entry and data-interpretation sets. Built for grad-school applicants aiming for 165+ Quant.

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A worked QC question — finding hidden-case ambiguity

Below is one fully worked example plus a short primer so you can see exactly how our AI reasons through a problem.

Example Problem

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  1. 1

    Solve for x using the given constraint

    The equation x² = 144 has two solutions: +12 and −12.

  2. 2

    Apply the additional constraint

    The problem states x > 0, so we reject the negative root.

  3. 3

    Compare Quantity A and Quantity B

    12 is greater than 11.5.

  4. 4

    GRE Quantitative Comparison answer scheme

    QC answers are always A/B/C/D: (A) Quantity A is greater, (B) Quantity B is greater, (C) Both equal, (D) Cannot be determined. Here the answer is (A).

  5. 5

    GRE trap alert — the missing case

    If the problem had said 'x is a real number' instead of 'x > 0', BOTH x = 12 and x = −12 are possible, giving A > B in one case and A < B in the other — answer would be (D). GRE loves this 'hidden ambiguity'; always check if multiple cases are possible.

Final Answer

GRE Quant strategy — QC logic and the 165+ path

The GRE Quantitative Reasoning section is 40 questions across two 35-minute sections (post-2023 shorter GRE). The math content is limited — arithmetic, algebra, geometry, and data analysis at a Class 10 level — but the QUESTION STYLE is what catches grad applicants off guard after years away from high-school math.

Four question types: Quantitative Comparison (QC) — given two quantities, pick A/B/C/D. Multiple Choice Single Answer — traditional 5-option MCQ. Multiple Choice Multiple Answer — pick ALL correct options (partial credit gives ZERO on GRE). Numeric Entry — type the exact answer, no options. Data Interpretation sets bundle 3–4 questions sharing a chart or table.

QC questions are the highest-volume and highest-leverage. Master the 4-choice logic: if you can find ONE case where A > B and ONE case where A < B, the answer is (D). If the relationship is always fixed, the answer is A, B, or C. Many QC questions look like 'cannot be determined' because ETS loves hidden cases — x could be negative, a shape could be degenerate, a variable could be zero. Always probe edge cases.

The other high-leverage strategy is using the on-screen calculator WISELY. It's built into the exam, but it's slow — a 4-function calculator, not a scientific one. Do mental math where you can; use the calculator for multi-step numerical work and messy divisions only.

Content-wise, the highest-frequency topics are: percentages and ratios (appears in every Data Interpretation set), exponents and roots (every section), algebra with one or two variables, properties of integers (prime, even/odd, factors, divisibility), basic geometry (triangles, circles, coordinate plane), statistics (mean, median, standard deviation, normal distribution). The GRE does NOT include trigonometry or calculus.

The solver above treats your input as a GRE question. It identifies the type (QC / MC / Numeric Entry), applies the fastest method, explicitly probes multi-case ambiguity on QC problems, and shows the work in a grad-school-appropriate format.

GRE Quantitative Reasoning questions to practise

Tap any problem to solve it with full step-by-step working.

Frequently asked questions

What does the GRE Quantitative section cover?+

Arithmetic, algebra, geometry, and data analysis at a Class 10 level. No trigonometry, no calculus. What makes GRE Quant hard is the QUESTION FORMAT — particularly Quantitative Comparison — not the content difficulty.

How should I approach Quantitative Comparison (QC) questions?+

Always ask: 'can I construct a case where the relationship is different?' If yes → answer (D). If the relationship is always fixed, pick (A), (B), or (C). Common traps: variables can be negative, zero, or fractions — test these before committing.

What score do I need to get into a top grad program?+

Depends on the field. STEM programs typically want 165+ (95th percentile) on Quant; humanities programs weight Verbal more. The GRE is scored 130–170 per section, with median around 152.

Is the GRE Math harder than the SAT Math?+

Content-wise, similar or slightly easier than SAT. But GRE adds question types SAT doesn't have (QC, multiple-correct MC, numeric entry), and adult test-takers are often rusty. GRE Quant is mostly a PACE + STRATEGY exam.

Does the solver handle the built-in calculator limitations?+

Yes — it flags calculation steps where the GRE's 4-function calculator is actually faster vs. mental math. Many test-takers waste time on the calculator for things that are quicker in their head; the solver points these out.

What about Data Interpretation sets?+

Yes — paste the table or chart (photo works well) with all 3–4 linked questions. The solver reads the chart and handles the full set, showing how each question draws from the shared data.

Is it free for GRE prep?+

Yes. One guest solve per day without signup; a free account gives 5 daily solves plus GRE-pattern quizzes, flashcards and a 6/12-week planner. Step-by-step working is never paywalled.

Does this cover the GRE Subject Tests (Math, Physics, etc.)?+

The current solver focuses on the general GRE Quantitative Reasoning. Subject-specific tests are specialised (Math Subject Test is roughly advanced undergraduate math) — use our dedicated Calculus and Algebra solvers for that level of content.

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