Math for Allied Health
(Math 117) Review
 This review includes Part I & Part II, the answers to
the review, a conversion chart. Please review in
preparation for the two-hour (2) exam
 Testing Center will provide the following at the time
of the exam:
 A four function calculator
 Scratch paper/pencil
 A Conversion Chart
 You must pass the exam with a score of 80%
 If passing, you will receive the following:
 2 Credits or
 Waiver
 This exam is available by appointment. For
information call 989/686-9182.
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Math for Allied Health (Math 117)
Competency Review Part I
Directions: A four function calculator will be provided at the time of testing. Show your work
in detail and reduce your answers.
1.
Divide:
4 12  3 16
2.
Multiply:

4 12  3 16
3.
 x:
Solve for
5 3

x 4
4.
Solve for
 x:
3.5 2.5

x 1.8
5.
Solve for
 x:
2
3
1
4
6.
Convert1.5% to its equivalent decimal form
7.
Convert 0.025 to its equivalent percent form
8.
45% of 80 is what number?
9.
Arrange the following numbers from smallest to largest: 2.005, 2.5, 3, 2.43
10.

(round to tenth)
4
5
x
Arrange the following numbers from smallest to largest:
5 9 4 5
,
, ,
2 10 5 6

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Math for Allied Health (Math 117)
Competency Review Part II
Directions: The Allied Health Competency Test will include a conversion chart and abbreviation
list. You will be allowed to use a four function calculator available in the Testing
Center. To pass this test you will have to score at least 80%. To be assured of credit, please
show work in detail. Be sure to use the correct unit with answers.
8
, 0.8%
10
1.
Change to decimals and arrange in order from smallest to largest: 0.08,
2.
Order: 60 units of U-100 Insulin (Assume 100 units in 1 mL). If a 1 mL hypodermic
syringe is used, how many mL should be administered? (tenth)
3.
How many mL will be given to a patient who has been prescribed 750 mg of DRUG from
a vial labeled “1 g inject 2.4 mL of sterile water to yield 2.5 mL of solution.” (tenth)
4.
A 220 lb patient is to receive all of a medicated IV fluid labeled 450 mg/500 cc. The
doctor prescribes 3 mcg/kg/min. Calculate the rate of flow using a microdropper
administration set. (whole)
5.
Drug Order:
6.
7.
1
grain Phenobarbital
6
How many tablets will you administer?
Medication on Hand:
1
grain per 1 tablet
3
 5% glucose 1000 mL to be administered IV over 
Order:
8 hours via a 20 gtt/mL delivery
system. After 2 hours 400 mL have been delivered. Calculate the new rate to finish on
time. (whole)
500 mg of Keflin is within 1000 mL of 5% glucose in water. If the IV is running at 40
gtt/min and the administration set is 15 gtt/mL, how long will it take the IV to run?
(nearest whole minute)
If the IV is started at 10:15 AM on Dec 17, when should it be completed?
8.
A patient should receive 5 mL of DRUG per dose,. If she has a 2 fluidounce bottle, how
many doses will she have?
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9.
10.
How many grams of Dextrose does 500 mL of D10W contain?
Order: 0.017 g of ELIXOPHYLLIN How many mL will be given? (tenth) Shade in
the syringe to show the correct dosage.
Berlex
NDC 5 0419 -121-1 6
473 ml
ELIXOPHYLLIN
(theophylline)
ELIXIR
80 mg/15 ml
Cauti on: Fede ral l aw proh ibits
dis pens ing wi thou t pre scri ptio n
11.
Order: 60 mg/m2
Available: 8 mg/cc
Find the surface area of a patient that is 162 cm tall and weighs 60.5 kg.
How many mL should be given to this patient? (tenth)
12.
How many tablets should be ordered if the dose is 0.25 g q6h for 5 days and the tablet
strength is 0.5 g?
13.
A person has an IV medication order for 200 mg. It is to be diluted to 30 mL. Calculate
the rate in mL/hr for this infusion if it is to be administered in 20 minutes.
What will the rate be in gtt/min if the set calibration is 12 gtt/mL
14.
An IV of 40 mL of D5W containing 100 mcg of medication is to be infused using a
controller over a 25 minute period. The normal dosage of this drug is 5 – 7 mcg/kg/dose.
The child weighs 15 kg.
Find the normal dosage range for this child.
If a 15 mL flush is used , what rate in mL/hr will you set the controller to deliver this
medication in 25 minutes? (Assume that the 15 mL flush is part of the total volume for
the IV)
15.
What heparin dosage in Units/hr is being administered if 1 L of D5W containing 40,000
Units is infusing at 60 mL/hr?
Find the heparin dosage in Units/min
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16.
Heparin has been ordered to infuse at the rate of 900 Units/hr. The solution has 30,000
Units heparin in 1000 mL, and the set is calibrated at 15 gtt/mL. Calculate the flow rate
in mL/hr.
17.
A solution of 1 L D5W containing 20,000 Units heparin is infusing at 28 gtt/min on a set
calibrated at 15 gtt/mL. Calculate the mL/hr
Calculate the Units/hr (whole)
18.
The normal heparin range for adults is 20,000 – 40,000 Units/24 hrs. A patient is
receiving 70 mL/hr of a solution of 18,000 Units heparin in 1 L of D5W.
The patient is receiving how many Units/24 hrs?
Is this dosage within the normal range?
19.
Calculate the flow rate in mL/hr for a critical care drug that is to be delivered at 0.2 mg
per min from a solution of 500 mL containing 100 mg.
20.
The medication is to be infused at the rate of 1 mcg/kg/min. The patient weighs 49 kg.
The strength of the solution is 40 mg in 500 mL. Calculate the flow rate in mL/hr.
(whole)
21.
A solution infusing has a concentration of 200 mg of DRUG in 50 mL. The pressure has
regulated at a flow rate of 9 mL/hr. How many mcg is the patient now receiving per
minute?
22.
A patient has an order for 60 mg per dose of a drug TID. The dosage range is
3.5–5 mg/kg/day. The weight of the patient is 132 lbs. (tenth)
Dosage range per day for this patient:
Dosage range per dose for this patient:
Accuracy of order:
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Answers:
Part I
1. 1 198
6. 0.015
Part II
1.
4.
7.
10.
13.
15.
17.
19.
21.
14 14
2.5%
2.
7.

3.
8.

0.008 0.08 0.8
20 gtt/min
375 min, 4:30 PM on Dec 17
3.2 mL
90 mL/hr, 18 gtt/min
2400 Units/hr, 40 Units/min
112 mL/hr, 2240 Units/hr
60 mL/hr
600 mcg/min
6 23
36
4.
9.
2.5
2.005 2.43 2.5 3
5.
10.

0.6 mL

½ tab
12 doses
1.65 m2 12.4 mL
2.
5.
8.
11.
14.
16.
18.
20.
22.
3.
6.
9.
12.
3
10
4 5
5 6
9
10
5
2
1.9 mL
33 gtt/min
50 g
10 tabs
75-105 mcg/dose, 132 mL/hr
30 mL/hr
30240 Units/24 hr, yes
37 mL/hr
210-300 mg/day 70-100 mg/dose
too low
Math for Allied Health
Conversion Chart
1.
2.
3.
4.
5.
6.
7.
8.
4 qts = 1 gallon
1 qt = 1000 mL = 2 pt = 1 liter
16 oz = 1 pt = 500 mL
1 oz = 30 mL
5 mL = 1 tsp
1 Tbsp = 15 mL
2 Tbsp = 1 oz = 30 mL
1 mL = 1 cc
9.
10.
11.
12.
13.
14.
15.
16.
1 g = 1,000 mg
1 glass = 8 oz or 240 mL
1 mcg = 0.000001 g
1000 mcg = 1 mg
1 kg = 1000 g
1 kg = 2.2 lb
60 microgtts = 1 mL
15 macrogtts = 1 mL (Abbott product set)
Formulas:
Body Surface Area =
Flow Rate =

wt(kg)  ht(cm)
3600
Total volume ordered  set calibration
Total minutes to run
Some Medical Abbreviations:
1. bid two times a day
2. tid three times a day
3. qid four times a day
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4.
5.
6.
q4h
q6h
q8h
every 4 hours
every 6 hours
every 8 hours
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