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DAT Math Formulas You Need to Memorize

The DAT math formulas to memorize come down to about 20-25 that actually show up on the Quantitative Reasoning section: percent change, averages, rate/time/distance, simple interest, basic probability and combinations, a short list of area/volume shapes, the Pythagorean theorem with special right triangles, and light SOH-CAH-TOA trig. There's no calculus and no obscure identities. Below is the full list, organized so you memorize only what's tested — then we'll tell you why memorizing them is only half the job.

Why a generic algebra and geometry dump wastes your time

Search "DAT math formulas" and you'll find lists lifted straight from a high school textbook — forty-plus formulas covering everything from logarithm rules to trig identities the DAT has never once tested.

We took the DAT. Both of us finished in the top 3% (97th-plus percentile). The Quantitative Reasoning section is 40 questions in 45 minutes, all algebra, quantitative comparison, data analysis, and word problems — no calculus, ever. A padded formula sheet doesn't make you more prepared. It just makes flashcards you'll skim once and forget.

The formulas below are the ones that actually recur on real DAT QR questions. Nothing else made the cut.

DAT math formulas to memorize, by category

This is the sheet. Copy it, print it, put it on your wall — whatever gets it into long-term memory fastest.

CategoryFormulaWhere it shows up
Percent change(New − Old) ÷ Old × 100Discount, markup, growth/decline word problems
Percent of a numberPart = Percent × Whole"What is 15% of 240?" style questions
Simple interestI = P × r × tFinance word problems
Distance, rate, timed = r × tTravel, speed, and relative-motion problems
Average (mean)Sum of terms ÷ number of termsWeighted averages, "find the missing score" problems
Combined work rate1/t₁ + 1/t₂ = 1/tₜ"Two pipes fill a tank" style problems
Probability, independent eventsP(A and B) = P(A) × P(B)Dice, cards, sequential-draw problems
Probability, mutually exclusiveP(A or B) = P(A) + P(B)"Either/or" outcome problems
PermutationsnPr = n! ÷ (n − r)!Order-matters arrangement problems
CombinationsnCr = n! ÷ [r!(n − r)!]Order-doesn't-matter selection problems
Pythagorean theorema² + b² = c²Right triangle side-length problems
45-45-90 triangleSides in ratio 1 : 1 : √2Diagonal/square-based geometry problems
30-60-90 triangleSides in ratio 1 : √3 : 2Height/base geometry problems
Area of a triangle½ × base × heightStandalone and composite figure problems
Area & circumference of a circleA = πr²; C = 2πrCircle and sector word problems
Volume of a rectangular solidl × w × hBox/container word problems
Volume of a cylinderπr²hTank/pipe volume problems
Slope of a line(y₂ − y₁) ÷ (x₂ − x₁)Coordinate geometry, rate-of-change problems
Quadratic formulax = [−b ± √(b² − 4ac)] ÷ 2aUnfactorable quadratic equations
Right-triangle trigSOH-CAH-TOA: sin=opp/hyp, cos=adj/hyp, tan=opp/adjAngle and side problems on right triangles only

That's the whole list. If you've memorized these cold, you've covered the overwhelming majority of what the DAT actually asks in Quantitative Reasoning — for the full breakdown of question types this list maps onto, see our guide to DAT QR question types.

Algebra and word-problem formulas you'll use constantly

Percent change, averages, and rate/time/distance aren't glamorous, but they're the backbone of DAT QR. Word problems dress them up in different scenarios — a car trip, a discount, a mixture of solutions — but the underlying formula rarely changes.

The trap is arithmetic speed, not formula recall. You'll know d = r × t on sight; the real test is rearranging it to solve for r or t in under a minute while the clock runs. That's a drilling problem, not a memorization problem.

Geometry formulas tested on the DAT QR section

Geometry on the DAT stays basic: areas and volumes of common shapes, the Pythagorean theorem, and the two special right triangles (45-45-90 and 30-60-90). You will not see circle theorems involving inscribed angles, coordinate geometry with conic sections, or 3D solids beyond rectangular boxes and cylinders.

Special right triangles deserve extra attention because they let you skip the Pythagorean theorem entirely when you recognize the pattern — and pattern recognition is what saves seconds you don't have to spare.

Probability, averages, and data analysis formulas

Probability and combinatorics questions on the DAT are usually one or two steps: multiply independent probabilities, add mutually exclusive ones, or plug into nPr/nCr. The formulas are simple; the challenge is correctly identifying which formula the word problem is describing.

Data analysis questions (reading a table or graph, then calculating an average or percent change) don't need a new formula — they need you to apply the ones above accurately while under time pressure and mild reading-comprehension load.

Memorizing the list is step one. Applying it in 68 seconds a question is the real test.

We built DATPractice around exactly this gap: 40 full-length practice tests that mirror the real DAT's QR timing and difficulty, an 11,000+ question bank with hand-written solutions for every answer choice, and an AI tutor that catches the specific formula you keep fumbling and re-teaches it to test-depth only. No wasted time on formulas the DAT doesn't ask.

Start the Formula →

Score higher, guaranteed — see site for terms.

Formulas you don't need to memorize for the DAT

Because we get asked this constantly, here's the negative space — formulas that appear on generic prep lists but essentially never show up on the real DAT:

  • Calculus of any kind (derivatives, integrals, limits) — the DAT tests through algebra and light trig only.
  • Trig identities beyond SOH-CAH-TOA (double-angle, sum-to-product, law of sines/cosines) — not tested.
  • Logarithm and exponential-growth formulas beyond basic exponent rules — rare to nonexistent.
  • Conic sections (ellipses, parabolas as equations, hyperbolas) — not part of the QR blueprint.
  • Advanced statistics (standard deviation, z-scores, regression) — you'll see averages and basic data reads, not this.

Cutting these isn't cutting corners. It's the same "practice correctly, learn only what the test rewards" logic we built our entire study system around.

How to actually memorize DAT math formulas (and why that's not enough)

Memorizing a formula and applying it correctly under exam pressure are two different skills, and most students only train the first one.

Here's what actually works:

  1. Write the list somewhere you see daily — a phone lock screen, a sticky note on your monitor, whatever forces repetition.
  2. Attach each formula to one worked example, not just the symbols. You remember "percent change" better tied to a discount problem you actually solved.
  3. Drill formula recall inside timed sets, not isolated flashcards. A formula you can recite calmly at your desk can vanish under a 45-minute countdown.
  4. Track which formulas you mix up on missed questions, and re-drill only those. Don't re-study what you already have cold.
  5. Take full-length practice tests under real timing so formula recall happens under the same fatigue and pressure as the actual exam — see our DAT QR time management guide for pacing specifics.

This is exactly why we don't just hand students a formula sheet at DATPractice. Every miss on our practice tests gets tagged to the specific concept behind it, so if you're shaky on combined work-rate problems specifically, that's what the AI tutor drills you on — not a generic re-read of the whole algebra list.

FAQ: DAT Math Formulas to Memorize

What math formulas do I need to know for the DAT?

You need core algebra formulas (percent change, averages, rate/time/distance, simple interest), a handful of geometry formulas (area and volume of common shapes, the Pythagorean theorem, special right triangles), basic probability and combinations/permutations, and light right-triangle trig. There's no calculus and no obscure identities — the DAT Quantitative Reasoning section tests a short, predictable list of formulas applied to word problems under time pressure.

Is there a formula sheet for the DAT QR section?

The ADA does not give you a formula sheet on test day, so you have to memorize what you need in advance. This article is built to function as that sheet: every formula in the table above is one that actually shows up on real DAT Quantitative Reasoning questions, trimmed of anything that doesn't.

Do I need to memorize trig identities for the DAT?

No. The DAT tests a little trig, but it's limited to basic right-triangle relationships — sine, cosine, tangent (SOH-CAH-TOA) and the special 30-60-90 and 45-45-90 triangle ratios. You will not see the unit circle, radians-heavy problems, or trig identities like double-angle or sum-to-product formulas.

Can I use a calculator on the DAT math section?

Yes, but only on the Quantitative Reasoning section — a basic on-screen calculator with add, subtract, multiply, divide, and square root is available there and nowhere else on the exam. It won't do algebra for you, so you still need every formula above memorized cold; see our guide on the calculator on DAT QR for exactly what it can and can't do.

How many math formulas are actually tested on the DAT?

Realistically, somewhere around 20 to 25 formulas cover the vast majority of DAT Quantitative Reasoning questions. That's a fraction of what a full high school algebra and geometry textbook contains, which is exactly why memorizing a targeted list beats re-reading old class notes.

What's the best way to memorize DAT math formulas?

Write the formula list somewhere you'll see it daily, but don't stop at recognition — drill each formula inside full, timed word problems until you can pull it out in under a minute without thinking about it. Recognizing a formula on a flashcard and applying it correctly under exam pressure are different skills, and only timed practice tests build the second one.