When it comes to the GRE Quantitative Reasoning section, it's not about memorizing every formula you've ever seen in school. It's about knowing the right GRE math formulas — the ones that show up again and again across algebra, geometry, and data analysis questions.
The GRE is scored 130–170 per section. The Quantitative section tests arithmetic, algebra, geometry, and data analysis through multiple-choice, quantitative comparison, and numeric entry questions. The test is computer-adaptive by section, runs about 1 hour 58 minutes total, and does not allow a physical calculator — though an on-screen calculator is provided.
Why Core GRE Math Formulas Matter
GRE Quant questions test whether you can recognize patterns, apply standard formulas, and think logically under time pressure. Memorizing key formulas gives you:
- Faster recognition of problem types
- Cleaner, less error-prone work
- More mental energy for genuinely tricky reasoning steps
The GRE is not a calculus test. Everything you need is algebra, geometry, and number sense — but you need it fast and automatic.
Lines, Distance, and the Pythagorean Theorem
- Slope: m = (y₂ − y₁) / (x₂ − x₁)
- Line equation: y = mx + b
- Pythagorean theorem: a² + b² = c²
- Distance formula: d = √[(x₂−x₁)² + (y₂−y₁)²]
Memorize common Pythagorean triples: (3, 4, 5), (5, 12, 13), (8, 15, 17). They appear in GRE geometry questions more often than you'd expect.
Area, Circles, and Percent Change
- Rectangle area: A = l × w
- Triangle area: A = ½ × base × height
- Circle circumference: C = 2πr
- Circle area: A = πr²
- Percent change: (New − Old) / Old × 100 — always use the original value as "Old"
Averages, Exponents, and Probability
- Average: sum of terms ÷ number of terms
- Weighted average: (group1 × weight1 + group2 × weight2) / total weight
- Exponent rules: aᵐ × aⁿ = aᵐ⁺ⁿ
- Basic probability: favorable outcomes / total outcomes
- At least one: P(at least one) = 1 − P(none)
Geometry Essentials for GRE
- Sum of interior angles of a polygon: (n − 2) × 180°
- Volume of rectangular prism: V = lwh
- Volume of cylinder: V = πr²h
- Special right triangles: 30-60-90 (sides 1 : √3 : 2) and 45-45-90 (sides 1 : 1 : √2)
How to Make GRE Math Formulas Stick
- Create a one-page formula sheet — write it by hand to reinforce memory
- Choose 2–3 formulas per day and do 5–10 practice questions using only those
- Rewrite the formulas from memory at the end of each day
- Once a week, do a mixed set and circle which formulas you used
Formulas only become useful under pressure when you've applied them dozens of times. Reading your formula sheet is not enough — you need to solve problems with each one.
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