TEAS 7 Math and Science Formula Sheet

A formula sheet is useful for ATI TEAS preparation only when it helps you recognize relationships quickly. The TEAS is not a contest to memorize the largest possible collection of equations. Mathematics questions test numbers and algebra plus measurement and data, while science covers human anatomy and physiology, biology, chemistry, and scientific reasoning. Many questions require you to decide which information matters before you calculate anything.

ATI TEAS Version 7 contains 170 total questions with 209 minutes of allocated testing time. Mathematics has 38 questions in 57 minutes; Science has 50 questions in 60 minutes. The exam includes scored and unscored questions, and ATI does not identify which questions are unscored while you test. Candidates can use the basic calculator built into the exam, but personal calculators are not allowed. That makes setup, estimation, unit sense, and formula selection just as important as arithmetic.

Pair formula review with TEAS practice tests rather than studying formulas in isolation. Write each relationship from memory, solve a few problems that use it, and then practice identifying when the formula is unnecessary.

Percentages, ratios, proportions, and rates

Percent questions become easier when you keep the three quantities distinct: part, whole, and percent. The core relationship is:

percent = (part ÷ whole) × 100

Rearrange it when the unknown changes:

• part = (percent ÷ 100) × whole
• whole = part ÷ (percent ÷ 100)
• percent change = ((new − original) ÷ original) × 100

Ratios compare quantities. A ratio of 2:5 can also be written as 2/5. A proportion states that two ratios are equal: a/b = c/d. When all denominators are nonzero, cross multiplication gives ad = bc. Do not cross-multiply automatically; first confirm that the quantities really are proportional and that the units line up.

A rate compares quantities with different units, such as miles per hour or dollars per item. The familiar distance relationship is distance = rate × time. Rearranged, rate = distance ÷ time and time = distance ÷ rate. Dimensional analysis is an excellent error check: if the question asks for hours and your remaining unit is miles, the setup is incomplete.

Fractions, decimals, exponents, and algebra

For fractions, addition and subtraction require a common denominator. Multiplication is numerator times numerator and denominator times denominator, followed by simplification. Division by a fraction means multiplying by its reciprocal. Mixed numbers are usually easier to calculate with after converting them to improper fractions.

Useful decimal and percent conversions include 0.25 = 25% = 1/4, 0.5 = 50% = 1/2, and 0.75 = 75% = 3/4. Familiar benchmark values make estimation faster and can expose calculator-entry mistakes.

Exponent rules commonly used in algebra include:

• a^m × a^n = a^(m+n)
• a^m ÷ a^n = a^(m−n), for a ≠ 0
• (a^m)^n = a^(mn)
• a^0 = 1, for a ≠ 0
• a^(−n) = 1/a^n

For linear equations, isolate the variable by performing equivalent operations on both sides. In slope-intercept form, y = mx + b, where m is slope and b is the y-intercept. Slope between two points is m = (y2 − y1) ÷ (x2 − x1), provided the denominator is not zero.

Order of operations matters: grouping symbols, exponents, multiplication and division from left to right, then addition and subtraction from left to right. Many avoidable TEAS errors come from entering a correct expression into the calculator in the wrong order.

Geometry: perimeter, area, circumference, and volume

Geometry formulas are easier to remember when you connect them to what is being measured. Perimeter is boundary length. Area covers a two-dimensional surface. Volume measures three-dimensional space. The unit should therefore change from linear units to square units to cubic units.

Shape	Relationship
Rectangle perimeter	P = 2l + 2w
Rectangle area	A = lw
Square area	A = s²
Triangle area	A = ½bh
Parallelogram area	A = bh
Trapezoid area	A = ½(b1 + b2)h
Circle circumference	C = 2πr or πd
Circle area	A = πr²
Rectangular-prism volume	V = lwh
Cylinder volume	V = πr²h

The Pythagorean theorem, a² + b² = c², applies to right triangles, where c is the hypotenuse. Do not use it on every triangle. When a problem gives a diameter, remember that the radius is half the diameter before substituting into πr².

Word problems often hide the geometric task. “How much flooring?” points to area. “How much fencing?” points to perimeter. “How much liquid will fit?” points to volume or capacity. Translate the context before reaching for the formula.

Measurement and unit conversions

Conversions should be treated as multiplication by a form of 1. If 1 meter = 100 centimeters, then multiplying by 100 cm / 1 m cancels meters and leaves centimeters. Setting up the units this way is safer than trying to remember whether to multiply or divide.

Common metric prefixes worth knowing include kilo- for 1,000, centi- for one hundredth, and milli- for one thousandth. Within metric units, powers of ten make conversion systematic. For example, 2.4 liters is 2,400 milliliters because one liter equals 1,000 milliliters.

Temperature may require converting between Celsius and Fahrenheit. The standard relationships are:

• F = (9/5)C + 32
• C = (5/9)(F − 32)

Read the question carefully before converting. A chart may already provide the needed units, and unnecessary conversions create extra opportunities for error.

Statistics, probability, and data interpretation

Mean is the arithmetic average: mean = sum of values ÷ number of values. Median is the middle value after ordering the data; for an even number of observations, average the two middle values. Mode is the most frequent value. Range is maximum − minimum.

Basic probability is favorable outcomes ÷ total possible outcomes when outcomes are equally likely. A probability must fall between 0 and 1, or between 0% and 100%. That simple check catches many errors.

Data questions may be more about interpretation than calculation. Read axes, units, scales, legends, and labels before comparing values. A graph with a truncated vertical axis can make a small change appear dramatic. A percentage increase does not tell you the original quantity. Correlation in a chart does not automatically establish causation.

Scientific reasoning uses the same discipline. Identify variables, controls, sample size, trends, and whether the evidence actually supports the stated conclusion. An equation is only part of the reasoning.

Science relationships worth understanding

The TEAS science section is not primarily a physics-formula test, so avoid spending disproportionate time memorizing advanced equations. However, a few quantitative relationships support chemistry and scientific reasoning.

Density is density = mass ÷ volume. Rearranged, mass = density × volume and volume = mass ÷ density. Pay close attention to units. A density expressed in grams per milliliter requires compatible mass and volume units before comparison.

Concentration is a general relationship between the amount of a substance and the amount of solution or mixture. The exact expression depends on how concentration is defined in the question. Do not assume every concentration problem uses the same units.

pH is logarithmic, so a one-unit difference represents a tenfold change in hydrogen-ion activity under the usual simplified interpretation. For TEAS preparation, the more important concept is generally that lower pH is more acidic, higher pH is more basic, and pH 7 is neutral under standard introductory conditions.

Genetics questions may use probability rather than a formula. Punnett squares organize possible allele combinations, but the percentage predicted by a Punnett square is a probability for offspring, not a promise that a small family will exactly match that ratio.

Anatomy and physiology rely more on relationships than formulas

Human anatomy and physiology is a major part of TEAS science. Most of its difficulty comes from systems and relationships rather than calculation. Learn structures with functions: how the heart moves blood, how vessels differ, how gas exchange occurs, how kidneys regulate fluid and waste, how hormones signal, how neurons communicate, how digestion and absorption work, and how body systems interact to maintain homeostasis.

Rate and flow ideas still appear conceptually. If breathing or circulation changes, think about what happens downstream to oxygen delivery and waste removal. If a feedback loop is disrupted, identify the variable being regulated and the response that normally moves it back toward a set range.

A formula sheet cannot replace this systems understanding. Use diagrams, retrieval practice, and scenario questions alongside quantitative review. Science questions often reward the student who can explain a process in words before selecting an answer.

Use the built-in calculator strategically

ATI provides a basic on-screen calculator on the TEAS and does not allow personal calculators. Because the tool is available throughout the exam, practice with the same style of calculator before test day. The goal is not to use it for every arithmetic step. Mental estimation can tell you whether an entered result is plausible.

Write down the setup before keying numbers. For a percent-change problem, for example, identify original and new values first, then enter (new − original) ÷ original × 100. If you type as you read, it is easy to reverse the denominator. For geometry, sketch the shape and label units before calculating.

Calculator fluency is also pacing. Know where parentheses, decimal entry, clear, and basic operations are located. Small interface delays add up when you are already thinking through the problem.

How to memorize what actually helps

Divide the reference into three groups. First, memorize relationships you should recall instantly: percent, rate, common area formulas, circumference, volume, slope, mean, and density. Second, practice formulas that you can reconstruct from meaning, such as perimeter or a rearranged rate equation. Third, identify concepts that are better understood than memorized, such as experimental design or homeostasis.

Use retrieval instead of rereading. Cover the formula column, write the relationship from memory, then solve one problem. Mix topics so that you must choose the formula. Finally, do timed sets and record whether an error came from recall, setup, arithmetic, units, or interpretation.

The strongest TEAS formula sheet becomes shorter as your preparation improves. You stop needing reminders for basic relationships and can devote attention to question interpretation. That is the point: formulas should free mental capacity for reasoning, not become another pile of facts to memorize without context.