The GRE (Graduate Record Examination) is a standardized test required for admission to many graduate and business schools. It consists of three main sections: Verbal Reasoning, Analytical Writing, and Quantitative Reasoning. For many test-takers, GRE Quant is the most difficult—especially when facing its toughest math problems.
The hardest GRE Quant questions are designed to test your advanced problem-solving skills and ability to apply math concepts under pressure. But don’t worry—with the right strategies and consistent practice, you can master them. Below, we break down the 10 most difficult types of GRE math questions and how to tackle them.
1. Probability Problems
GRE probability questions challenge your understanding of compound events, conditional probability, and dependent vs. independent outcomes. These problems can be wordy and time-consuming.
Start by reviewing core probability formulas and working through a variety of practice problems on platforms like Magoosh GRE. Understanding permutations and combinations is also crucial here.
2. Geometry Questions
GRE geometry questions often require you to analyze diagrams and apply properties of angles, triangles, circles, and polygons. Many include multiple steps or combine geometric concepts with algebra.
Focus on memorizing key formulas (like area, perimeter, and Pythagorean Theorem) and practice visualizing complex figures.
3. Data Interpretation Questions
These questions assess your ability to extract and interpret data from tables, graphs, and charts. Often, the data is dense, and the questions require multiple calculations or comparisons.
Practice interpreting charts and graphs from official ETS GRE materials and time yourself to build speed and accuracy.
4. Integer Properties
Integer property questions test knowledge of odd/even numbers, primes, divisibility rules, remainders, and factors. These questions are often disguised in tricky ways.
Brush up on number theory fundamentals and check out Khan Academy’s GRE arithmetic lessons for targeted practice.
5. Word Problems
Word problems require translating text into equations and can include rates, ratios, work problems, and more. The challenge lies in identifying the right approach quickly.
To improve, practice with GRE-specific word problems and create your own equations as you read through the question.
6. Number Theory
GRE number theory questions focus on prime factorization, least common multiples (LCM), greatest common divisors (GCD), and modular arithmetic. These concepts are foundational yet often overlooked.
Use resources like PrepScholar’s GRE number properties guide to solidify your understanding.
7. Coordinate Geometry
Coordinate geometry combines algebra and geometry on the Cartesian plane. You’ll be asked to calculate slopes, midpoints, distances, and analyze line equations.
Mastering the slope formula and understanding how to manipulate equations is key. Use Varsity Tutors’ GRE coordinate geometry resources for targeted drills.
8. Quantitative Comparison Questions
These unique questions ask you to compare two quantities and choose one of four options. The trick is knowing when you can make a definitive choice—and when you can’t.
ETS provides official GRE examples that teach you how to approach these strategically.
9. Functions
Function questions on the GRE can involve algebraic functions, piecewise functions, compositions, and inverses. These are often presented in abstract or symbolic formats.
To tackle them confidently, practice manipulating variables and reviewing function notation on Magoosh’s GRE blog.
10. Multiple Choice, Multiple Correct Answers
Some GRE Quant questions offer more than one correct answer and require you to select all that apply. These can be particularly tricky because missing even one correct choice means zero credit.
Practice using the process of elimination and always double-check your work. The ETS overview of GRE Quant question types explains how scoring works for these problems.
Conclusion
The hardest GRE Quant questions may feel intimidating, but they’re conquerable with the right mindset, foundational skills, and targeted practice. Focus on mastering core math concepts, practice under time pressure, and review expert test prep resources like GRE Insider to build confidence.
Whether you’re aiming for a 160+ or pushing toward a perfect 170, smart prep makes all the difference. You’ve got this!