HOSA Medical Math Combined

An IV bag of 500 mL solution is started at 1900. The flow rate is 38 gtts per minute, and the drop factor is 10 gtts per mL. At what time (24-hour clock) will this infusion finish?

2111 hours

A patient with an eating disorder weighs 95½ lbs. What is the patient's weight in kg? Round to the nearest tenth.

43.4 kg

How many grams of sodium chloride are needed to prepare 500 mL of a 5% solution?

25 g

1 kilogram (to g)

1000 grams

1 gram (to mg)

1000 milligrams

1 miligram (to mcg)

1000 micrograms

1 kilogram (to lb)

2.2 pounds

1 pound (to oz)

16 ounces

1 liter (to mL)

1000 milliliters

1 tsp (to mL)

5 mL

1 tbsp (to mL)

15 mL

1 tbsp (to tsp)

3 tsp

1 oz (to mL)

30 mL

12 oz (to mL)

360 mL

1 cup (to oz)

8 oz

body surface area (English)

√(height [in] × weight [lb]) ÷ 3131

1 meter (to cm)

100 centimeters

1 mililiter (to drops/gtt)

15 drops

1 liter (to q)

1 quart

1 liter (to pints)

2 pints

5 mililiters (to tsp)

1 tsp

1 yard (to feet)

3 feet

juice glass (to oz)

6 oz

tea cup (to oz)

6 oz

coffee cup (to oz)

8 oz

water glass (to oz)

7 oz

PO

by mouth

SR

sustained release

XL

extended release

SL

sublingual

q4h

every 4 hours

q6h

every 6 hours

qd

once a day

bid

twice a day

tid

three times a day

qid

four times a day

1 pint (to cups)

2 cups

1 gallon (to quarts)

4 quarts

1 quart (to oz)

32 ounces

1 tsp (to drops)

60 drops (gtt)

Celsius to Fahrenheit

C=(F-32) 5/9

Fahrenheit to Celsius

F=(C)9/5+32

IV Flow Rate: calculate mL/hr

Total Volume/ Total Time (Hours)

IV Flow Rate: calculate drops per min. (ggt/min)

Total Volume X Drop Factor/ Total Time (Minutes)

Solve for x and verify: " the physician ordered 1.5 mg of an injectable liquid. the medication was available as 3.0 mg/mL. the nurse would give ___ mL"

3 mg (over) 1 mL = 1.5 mg (over) x mLx= .5Verify: 3(.5)=1.51.5=1.5

Solve for x and verify: " the physician prescribed 80 mg of a medication that was available as 100 mg/ 2 mL. the nurse would give ___ mL"

100 mg (over) 2 mL = 80 mg (over) x mLx= 1.6Verify: 100(1.6)= 160160=160

millimeters are used for calculating

blood pressure

centimeters (cm) are used for calculating

body surface area, measuring things the size body organs, tumors, and wounds

I

one

IV

four

V

five

IX

nine

X

ten

XL

fourty

L

fifty

XC

ninety

C

one hundred

D

five hundread

M

one thousand

Electronic Infusion Pump: Formula to calculate mL/hr

amount of solution/minutes to give = (mL/hr)/ 60 min

Write the relationship " pediatric drops contain 50mg/ 5 mL" in ratio, fraction, and colon format

50 mg/ 5 mL, 50 mg (over) 5 mL, 50 mg: 5 mL

Write the relationship " a capsule contains 250 mg of a drug" in ratio, fraction, and colon format

250 mg/ 1 capsule, 250 mg (over) 1 capsule,

250 mg: 1 capsule

Write the relationship " a liter of IV solution contains 2 ampules of multivitamins" in ratio, fraction, and colon format

2 ampules/ 1 liter, 2 ampules (over) 1 liter, 2 ampules: 1 liter

Write the relationship " each tablet contains 5 grains of a drug. the nurse is to give 3 tablets equal to 15 grains" as proportions using both fraction and colon format

1 tablet: 5 grains :: 3 tablets: 15 grains

1 tablet (over) 5 grains = 3 tablets (over) 15 grains

Write the relationship " a syrup contains 10 mg/5 mL. a patient is to take 30 mg or 15 mL during a 24-hour period" as proportions using both fraction and colon format

10 mg: 5 mL :: 30 mg: 15 mL

10 mg (over) 5 mL = 30 mg (over) 15 mL

Set up a ratio and solve for x: " a drug is available as 25 mg/mL, to give 1.5mL you would need to give ___ mg"

25mg (over) 1 mL = x mg (over) 1.5 mL

x= 37.5mg

Set up a ratio and solve for x: "an oral liquid is available as 1 gram each 5 mL, the nurse gave 15 mL or ___ grams"

1 gram (over) 5 mL = x grams (over) 15 mL

x= 3 grams

Write the follow in fraction and colon format: a tablet contains 10 mg of a drug

10 mg: 1 tablet, 10 mg (over) 1 tablet

Solve for x and verify: " the physician prescribed 25 mg of syrup to be given every 3 hours for pain as needed. the syrup was available as 50 mg/5 mL. to give 25 mg, the nurse would give ___ mL"

50 mg (over) 5 mL = 25 mg (over) x mL

x= 2.5 mL

Verify: 50(2.5) = 125

125=125

Solve for x and verify: " the physician ordered 1.5 mg of an injectable liquid. the medication was available as 3.0 mg/mL. the nurse would give ___ mL"

3 mg (over) 1 mL = 1.5 mg (over) x mL

x= .5

Verify: 3(.5)=1.5

1.5=1.5

Solve for x and verify: " the physician prescribed 80 mg of a medication that was available as 100 mg/ 2 mL. the nurse would give ___ mL"

100 mg (over) 2 mL = 80 mg (over) x mL

x= 1.6

Verify: 100(1.6)= 160

160=160

micro

one millionth

milli

one thousandth

centi

one hundredth

deci

one tenth

kilo

one thousand

What is the basic unit of length?

Meter (m)

1 meter is equal to ___ inches

39.37

The primary linear measurements used in medicine are ___ and ___

centimeters (cm) and millimeters (mm)

What is the basic unit of volume?

Liter (L)

the mass of 1 liter (L) of water is equal to ___ kilogram (kg) at ___ degrees Celsius

1 kg @ 4 degrees celsius

What is the basic unit of weight?

Gram (g)

Grams (g) are most widely used for ___

food products

1 gram (g) is equal to the volume of ___

1 milliliter (mL)

Drop

abbreviation: gtt

Teaspoon

volume: 60 drops

abbreviation: tsp

metric equivalent: 5 mL

Tablespoon

volume: 3 tsp

abbreviation: tbsp

metric equivalent: 15 mL

Ounce

volume: 2 tbsp

abbreviation: oz

metric equivalent: 30 mL

Teacup

volume: 6 ounces

abbreviation: c

metric equivalent: 180 mL

Measuring Cup

volume: 8 ounces

abbreviation: C

metric equivalent: 240 mL

Pint

volume: 16 ounces

abbreviation: pt

metric equivalent: 500 mL

Quart

volume: 2 pt

abbreviation: qt

metric equivalent: 1,000 mL

Gallon

volume: 4 qt

abbreviation: gal

KHDBDCM

Kilo, Hecto, Deka, Base, Deci, Centi, Milli

Grain (Apothecary System)

abbreviation: gr

Drop (Apothecary System)

Weight/ Volume: one drop of water

abbreviation: gtt

Minim (Apothecary System)

Weight/ Volume: one drop

abbreviation: m

Dram (Apothecary System)

Weight/ Volume: 60 grains

abbreviation: dram

Ounce (Apothecary System)

Weight/ Volume: 8 drams or 30 mL

abbreviation: ounce

Pound (Apothecary System)

Weight/ Volume: 12 ounces

abbreviation: lb