HESI A2 Math Formulas & Conversions

TUTORIFFIC Cheat Sheet

๐Ÿ”ข Fractions & Decimals

Adding fractions: a/b + c/d = (ad + bc) / bd

Multiplying: a/b ร— c/d = ac / bd

Dividing: a/b รท c/d = a/b ร— d/c

Mixed โ†’ Improper: Whole ร— Denom + Num / Denom

Decimal โ†’ Fraction: 0.75 = 75/100 = 3/4

๐Ÿ“ Ratios & Proportions

Cross multiply: a/b = c/d โ†’ ad = bc

Example: 3 tabs / 150mg = x / 250mg

โ†’ 150x = 750 โ†’ x = 5 tablets

๐Ÿ’ฏ Percentages

% โ†’ Decimal: 45% = 0.45

Decimal โ†’ %: 0.08 = 8%

Find %: 20% of 350 = 0.20 ร— 350 = 70

% increase: (New โˆ’ Old) / Old ร— 100

% decrease: (Old โˆ’ New) / Old ร— 100

๐Ÿ”ค Order of Operations

Parentheses โ†’ Exponents โ†’ Mult/Div โ†’ Add/Sub
Tip: Multiplication & Division go left-to-right (same priority). Same for Addition & Subtraction.

๐Ÿฅ Dosage Calculation

Dose Ordered / Dose on Hand ร— Quantity = Amount to Give

Example: Doctor orders 500mg.

Available: 250mg tablets.

500 / 250 ร— 1 = 2 tablets

โš–๏ธ Metric Conversions

ConversionValue
1 kilogram (kg)= 1,000 grams
1 gram (g)= 1,000 milligrams
1 liter (L)= 1,000 milliliters
1 meter (m)= 100 centimeters
1 cm= 10 millimeters
1 cc= 1 milliliter

๐Ÿ”„ US โ†” Metric Conversions

ConversionValue
1 kg= 2.2 pounds
1 inch= 2.54 cm
1 ounce= 30 mL
1 cup= 240 mL
1 tablespoon= 15 mL
1 teaspoon= 5 mL
Mnemonic: King Henry Died By Drinking Chocolate Milk โ†’ Kilo, Hecto, Deka, Base, Deci, Centi, Milli

๐ŸŒก๏ธ Temperature

ยฐF to ยฐC: (ยฐF โˆ’ 32) ร— 5/9

ยฐC to ยฐF: (ยฐC ร— 9/5) + 32

Normal body temp: 98.6ยฐF = 37ยฐC

โฑ๏ธ Time Conversions

Military time: Add 12 to PM hours

1:00 PM = 1300, 5:30 PM = 1730

IV drip rate: Volume (mL) / Time (hr) = mL/hr

๐Ÿ“ Test Day Tips

1. Estimate before calculating
2. Convert fractions to decimals when comparing
3. Cross-multiply all proportion problems
4. 1 min per question โ€” don't overthink
5. No penalty for guessing โ€” never leave blanks