University of South Alabama
College of Nursing
HSC 342
Math review 1
1. If there is one one-thousandth gram (0.001 GM) in one milligram (1mg), how
many grams to the nearest 10ths place are there in two-hundred milligrams
(200mg)?
2. The physician orders 300 mg of a drug that is available in grams. How many
grams to the nearest 10ths place equal the dosage ordered?
3. How many milliliters are there in 2 ounces?
4. Order: Calciferol (ergocalcifersl) 22,000 units po QD at 8 pm.
Available: Calciferol oral solution 8000 units per 1 mL.
How many mL to the 100ths place will you give?
5. Order Lanoxin (digoxin) 0.125 mg IM qd.
Available: Lanoxin amuple labeled 0.25 mg per 1 mL.
How many mL (tenths place) of the drug should you give?
6. Order: Hyper Hep (hepatitis B immune globulin) 0.06 mL/kg of body weight IM
now. Weight is 99 lbs. How many mL expressed to the 10ths place will you
give?
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7. Order: Neupogen (filgrastim) 5 mcg/kg of body weight subq qd. Patient’s weight
is 176 lbs. The drug is available as 0.5 mg per mL. How many mL to the tenths
place will you give?
8. Give Aldomet (methyldopa) 250 mg IVPB in 100cc D%W over 45 minutes. The
administration set delivers 10gtts/mL. How many gtts/minute will you deliver?
9. Give Aminophylline (aminophylline) 100 mg in 35 cc of NS over one hour using
a microdrip set. What is the flow rate (gtts/min)?
10. Give Lidocaine (lidocaine hydrochloride) at 2mg/min. The drug is available as 1
GM in 250 mL D5w. What is the flow rate (mL/hr)?
11. The patient is to receive 5mcg/kg/min of Intropin (dopamine). The drug is
supplied as 200mg in 250 mL of NS. The patient weighs 132 lbs.
a. Using a microdrip set, how many drops per minute (gtts/min) should be
delivered?
b. Using an IV pump, how many mL/hr(to the nearest whole number) should be
delivered?
12. Order Tagamet (cimetidine) 2 mg/kg/hr IV. Add 2000 mg to 1000mL D5W.
Administration set delivers 15 gtts/mL. The patient’s weight is 140 pounds.
How fast (gtts/min) should you set the IV?
2
13. Order: Aminophylline (theophylline) 0.5 mg/kg/hr IV. The drug is supplied as
500mg in 1000mL D5W. The patient weighs 70 kg. Administration set is a
microdrop set.
a.How many mL per hour should the patient receive?
b.How many drops per minute?
14. Intropin (dopamine hydrochloride) is dripping at a rate of 25 mL/hr. The
concentration of Intropin is 200 mg in 250 mL. The patient’s weight is 65 kg.
What is the mcg/kg/min the patient is receiving? (Round final answer to the
nearest tenth.)
15. Give Bretylol (bretylium tosylate) 5 mg/kg IV stat over 45 minutes. The drug is
supplied as Bretylol 500 mg per 10 mL ampule. The patient weighs 150 pounds.
a. How many mg should this patient get (Round to whole number.)?
b.How many mL of Bretylol (nearest 10th) will you prepare?
16. Valium (diazepam) 3.75 mg was ordered for a child with status epilipticus. The
recommended dose is 0.2-0.5 mg/kg IV, slowly every 2-5 minutes up to a
maximum of 5 mg. The childs’ weight is 33 pounds. The drug is available a
Valium 5 mg/mL.
a.How many mL expressed to the 100ths place should you administer to equal the
ordered dose?
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b. How many mg/kg/dose have been ordered for the patient? (hundreths)
c. What is the minimum and maximum safe dose range for the patient to the
nearest 10th in mg/dose?
d. Is the ordered dose within the therapeutic range?
17. The physician ordered Dilantin (phenytoin) 4-8 mg-kg/day in two equal doses.
The infant weighed 7 lb 2 0z. The drug is available as Dilantin suspension
30mg/5mL. What is the minimum and maximum dosage in mL (nearest 100th)
you can give per dose?
18.
The physician has ordered 250 mg of Ancef to be given every 8 hours. The
drug is available per the label below. Follow the directions for the 500 mg
vial size for reconstitution.
a. How many mL (round to the nearest tenth) will you give for each dose?
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19.
Order K-tab (potassium chloride) 1.5 grams p.o. every day.
Available: See label.
a.How many tablets will you give the patient?
b.How many times a day will the patient get the medicine?
c.How many mEq is the patient getting with each dose?
20.
The patient is to receive insulin 36 units subcutaneously every morning. How
many mL (100ths place) of U100 insulin will you give?
21.
A patient has an IV of 1000 milliliters of D5W. The flow rate is 20 drops per
minute. If the drop factor is 15 gtts/mL, how many hours to the tenths place
will it take for this infusion to finish?
22.
The patient is to receive a blood transfusion of 2 units of packed Red Blood
Cells. Each unit contains 350mL. You begin the first unit at 0900, and by
1300 the second unit should be completely infused. The administration set is
10gtts/mL. What is the drop rate per minute?
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23.
The patient has a Lidocaine drip infusing at 2mg/min. The drip is mixed as
4gm/250mL. The patient is on an IV fluid restriction of 125mL/hr. At how
many mL/hr should the maintenance fluid be running for a total IV fluid
intake of 125mL/hr (Round to the nearest 10th if necessary)?
6
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
1gm
200mg
*
1000mg
1
1gm
300mg
gm
0.3
=
*
dose 1000mg dose
30mL 2ounce
60mL =
*
1
ounce
mL
1mL
22000units
2.75
=
*
dose 8000units
dose
1mL
0.125mg
mL
0.5
=
*
dose 0.25mg
dose
mL
0.06mL 1kg
99lbs
=
2.7
*
*
dose
kg
2.2lbs
1
mL
1mL
1mg
5mcg
1kg 176lbs
=
0.8
*
*
*
*
dose 0.5mg 1000mcg kg / dose 2.2lbs
1
gtts 10 gtts 100mL
*
22
=
45 min
min
mL
1hr
gtts 60 gtts 35mL
*
*
35
=
1hr 60 min
min
ml
mL 250mL
1gm
2mg 60 min
30
=
*
*
*
1gm 1000mg min
hr
hr
gtt 60 gtt 250mL
5mcg
1kg 132lbs
1mg
A.
23
=
*
*
*
*
*
min
mL 200mg 1000mcg kg / min 2.2lbs
1
mL 250mL
1kg 132lbs 60 min
1mg
5mcg
B.
*
*
*
23
=
*
*
hr
hr 200mg 1000mcg kg / min 2.2lbs
1
1hr
gtts 15gtts 1000mL 2mg
1kg 140lbs
*
16
=
*
*
*
*
60 min
min
mL
2000mg kg / hr 2.2lbs
1
mL 1000mL 0.5mg 70kg
A.
70
=
*
*
hr
500mg kg / hr
1
gtts 60 gtts 1000mL 0.5mg 70kg
B.
70
=
*
*
*
min
mL
500mg kg / hr
1
mcg
1000mcg 200mg 25ml
1hr
1
5.1
=
*
*
*
*
kg / min
mg
250mL
hr
60 min 65kg
mg
5mg
1kg 150lbs
A.
341
=
*
*
dose kg / dose 2.2lbs
1
ml
10ml 341mg
B.
6.8
=
*
dose 500mg dose
0.2 gm =
7
16.
mL
mL 3.75mg
=
*
dose 5mg
dose
3.75mg 2.2lbs
1
mg
=
0.25
*
*
33lbs
kg / dose
dose
kg
A.
0.75
B.
C.
Minimum
3
mg
0.2mg
1kg 33lb
=
*
*
dose kg / dose 2.2lb
1
Maximum
0.5mg
1kg 33lb
mg
*
7.5
*
=
1
dose kg / dose 2.2lb
D. Yes
Using either B1 or B2, the dose does fall within the safe
range.
17.
First, convert the weight to a decimal,
2oz
= 7.125lbs
7lbs +
16oz
Then set the problem using dimensional analysis.
Minimum
mL
5mL
4mg
1kg
7.125lbs 1day
*
*
1.08
=
*
*
= 1.079545455
dose 30mg kg / day 2.2lbs
1
2doses
Maximum
mL
5mL
8mg
1kg
7.125lbs 1day
2.16
=
*
*
*
*
= 2.159090909
dose 30mg kg / day 2.2lbs
1
2doses
mL
1mL
250mg
18. 1.1
=
*
= 1.111111
dose 225mg dose
1tab 1000mg 1.5 g
tab
19.
a. 2
=
*
*
1g
dose 750mg
dose
b.
once
mEq 10meq 2tab
c.
20
=
*
dose
tab
dose
1mL 36units
mL
20. 0.36
=
*
dose 100U
dose
hr
hr
1 min 15 gtts 1000mL
21. 12.5 =
*
*
*
1 60 min 20 gtts
mL
1
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22.
First, determine the amount of blood you must give
350mL
( 2units *
= 700mL ) and the number of hours
unit
( 1300hr − 0900hr = 4hr ) you need to give it over, then set-up the problem.
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23.
1hr
gtts 10 gtts 700mL
*
*
=
60 min
4hr
min
mL
Here, you have to determine how many mL/hr of the lidocaine the patient
needs to receive.
1gm
mL 250mL
2mg 60 min
7 .5
=
*
*
*
4 gm 1000mg min
hr
hr
Then, subtract that amount from the total amount of fluid the patient may
have per hour.
125mL
mL
mL
− ________ 7.5 __________
= _______ 117.5 ______________
hr
hr
hr
The correct answer is 117.5 mL/hr.
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