Pediatric Math Module

Convert the following pounds to kilograms using the rounding rules (see hint at bottom of this section):
1.    5 lbs  =_____kg
2.    33lbs =_____kg
3.    5.5lbs=_____kg
4.    75lbs =_____kg
5.    42lbs=_____kg
* HINT: 1kg=2.2lbs
Calculate the following equivalents:
6.    3 gr       =_____mg
7.    2 1/2 tsp=_____mL
8.    15mg     =_____gr
9.    90cc      =_____oz
10.    3 tbsp  =_____cc/mL

Total the following intake in mL(s):
11.    4.5 oz formula_____           12. 5 oz formula_____            13.   9 oz water  _____   
14.    6 tsp jello      _____            15. 3 1/2 oz GA_____            16. 7.5 oz GW_____
17.    Total 24 hour intake=_____

Calculate the following problems using the rounding rules:
18.    Child's weight: 14.1 kg
         Doctor's order: Rocephin IV 375mg q12hr.  Safe range 50-100mg/kg/day
Is this a safe dose for the child's weight? a)______
Rocephin comes 350mg/1ml
          How much will the BCC student nurse draw up to yeild 375mg? b)_____

19.   Child's weight 47 kg
        Ordered: Morphine Sulfate 5 mg IV q4hr.  Safe range  .1-.2 mg/kg/day
         Is this safe for the child's weight?

20.    Child's weight 118 lbs.
         Ordered: Unasyn 3 Gms q6hrs.       Safe range 150-400mg/kg/day
         Is this safe for child's weight? a)_____
Unasyn comes 1200mg/2.5 ml
         How much will the nurse draw up? b)_____

21.    Rocephin 275mg q12hrs is ordered for a 24 pound child.  The PDR states the safe dose is 100mg/kg/day.  Is this
         dose safe?     Yes_____     No_____

22.    The safe dose for Ampicillin is 400mg/kg/day.  Theorder states Ampicillin 350mg qid.  Is the dose safe for a
         child weighing 47 lbs?    Yes_____     No_____

23. Child's weight 7 lbs.  Give Amoxicillin 35mg/kg/day q4hrs.  How many mgs does the nurse give at 9AM?_____

24.   Child's weight 6.8 kg.  Give Augmentin 40mg/kg/daytid.  How many mgs does the nurse administer
         at 8AM?______

25. Fortaz q 12 hrs                Preparation 250mg/ml
         Child's weight 15 lbs.       Safe amount 100mg/kg/day
         a)______the highest safe dose in mg to administer based on the given weight
         b)______How much of the preparation in ml to administer for the highest safe dose.

26.    Ancef q 8hr                      Preparation 250mg/1.5ml
          Child's weight 40kg           Safe amount 35mg/kg/day
          a)_____the highest safe dose in mg to administer based on the given weight
          b)_____How much of the preparation to administer for the highest safe dose.

Calculate the IV drip rate using an infusion pump (your pump can only be set at an hourly rate—see hint at bottom of section):

27.    Ampicillin 500mg in 40 ml of 5%D/.2NS.  Administer30ml in 45 minutes._______

28.    Gentamycin 75mg IV q8hrs.  Dilute in 100 ml NS; Give over1 hour.  What is the hourly infusion rate?______

29.    Zinacef 400mg IV in 80ml over 2 1/2 hours. The hourly rate is_______

30. 1200ml of 5%D.33NS for 14 hours. The hourly rate is_____.

*HINT: use ratio/proportion : total mL(s) to be infused = x

total infusion time in minutes 60 (minutes—you can only set your pump at hourly intervals)

Answer Sheet

1.     2.3                                                      
2.    15
3. 2.5
4.    34.1
5.    19.1
6.    180
7. 12.5
8.    0.25
9. 3
10. 45
11. 135
12. 150
13. 270
14. 30
15. 105
16. 225
17. 915
18. a)Yes             b)  1.1
19.   No
20.   a)Yes              b)  6.3
21.   Yes
22.   Yes
23.   18.6
24.   90.6
25.   a) 340              b) 1.4
26. a) 466.6           b) 2.8
27. 40
28. 100
29. 32
30.   86