We cover the most important TEAS math formulas you need to know below. You will not be given a formula sheet on the TEAS exam, so it is important to be comfortable with the formulas below.
You can practice all of the formulas below by using our free ATI TEAS 7 practice test.
Area Formulas
Square: A = s²
Rectangle: A = lw
Parallelogram: A = bh
Triangle: A = \frac{1}{2} bh
Trapezoid: A = \frac{1}{2} h(b1 + b2)
Rhombus: A = \frac{1}{2} (d1 × d2)
Circle: A = \pi r^2
Note: If you want in-depth coverage of this content (and more), consider using our ATI TEAS prep course.
Perimeter Formulas
Square: p = 4s
Rectangle: p = 2l + 2w
Triangle: p = s1 + s2 + s3
Circumference of a Circle: 2\pi r OR \pi d
Volume Formulas
Cube: V = side length³
Rectangular Prism: V = length × width × height
Triangular Prism: V = \frac{b×h×l}{2}
Cylinder: V = \pi r^2 × h
Cone: V = \frac{\pi r^2 h}{3}
Rectangular Pyramid: V = \frac{l×w×h}{3}
Sphere: V = \frac{4}{3} \pi r^3
Common Conversion Factors
Standard System Conversion Factors
| Original Unit | Equivalent Unit |
|---|---|
| 1 ft | 12 in |
| 1 yd | 3 ft |
| 1 mi | 5280 ft |
| 1 lb | 16 oz |
| 1 pt | 2 c |
| 1 gal | 4 qt |
| 1 t | 2000 lb |
Standard and Metric Conversion Factors
| Original Unit | Equivalent Unit |
|---|---|
| 1 gal | 3.8 L |
| 1 kg | 2.2 lb |
| 1 in | 2.54 cm |
| 1 m | 3.28 ft |
| 1 mi | 1.6 km |
| 1 oz | 28.35 g |
| 1 m | 1.09 yd |
Temperature
Fahrenheit to Celsius: C = (F – 32) × \frac{5}{9}
Celsius to Fahrenheit: F = C × \frac{9}{5} + 32
Metric Conversions
Each unit is 10 times larger or smaller than the one next to it (or 1 decimal place movement to the right or left).
| kilo 1000x | hecto 100x | deka 10x | Base Units | deci 1/10 | centi 1/100 | milli 1/1000 |
|---|---|---|---|---|---|---|
| km | hm | dkm | meter = m | dm | cm | mm |
| kg | hg | dkg | gram = g | dg | cg | mg |
| kL | hL | dkL | liter = l | dL | cL | mL |
Fractions, Decimals, and Percentages
Part to Whole Percent Formula: \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
Percent Change: \text{Percent Change} = \left( \frac{\text{New Amount} – \text{Old Amount}}{\text{Old Amount}} \right) \times 100
Percent to Decimal / Fraction: \frac{\text{Percentage}}{100}
Decimal to Percent: Decimal × 100
Decimal to Fraction: \frac{\text{Whole Number (Based on Decimal)}}{\text{Corresponding Denominator (Based on Number of Decimals)}}
Fraction to Decimal: \frac{\text{Numerator}}{\text{Denominator}}
Fraction to Percent: \frac{\text{Numerator}}{\text{Denominator}} × 100
Statistics
Mean: Average of a set of numbers.
Median: Middle of a set of numbers, when placed in ascending order.
Mode: Number that appears the most amount of times.
Range: Difference between the largest and smallest number.
If you want to focus on the actual concepts that will appear on the exam, use our TEAS math study guide.
