DRUG CALCULATION QUESTIONS 2ND EDITION

Due to popular demand I have designed some more mathematical conundrums to test your skills. Please send me any comments or corrections. I hope you find them useful. Any comments or queries, please email me!

© Matt Wright, Senior Pharmacist 2005.

1
 
Lorazepam injection is prescribed for a 72kg patient at a dose of 25μg/kg by slow IV injection. What dose should be prescribed?
 
180μg
18mg
1.8mg
0.18mg
 
   
2
 
The concentration of lorazepam injection is 4mg/mL. What volume should be administered to the above patient?
  45mL
0.45mL
4.5mL
7.2mL
 
   
3
 
Paracetamol suspension 120mg/5mL is prescribed for a 5 year old child at a dose of 15mg/kg. The child weighs 18kg. What volume should be administered?
  11.25mL
10mL
5.4mL
8mL
 
   
4
 
Gentamicin is prescribed as a once daily dose at 5mg/kg. It is available as a 40mg/mL injection. What volume should be administered for a 55kg patient?
  6.875mL
3.6mL
7mL
6.5mL
 
   
5
 
A patient is prescribed NovoMix 30® - 15 units mane, 10 units in the evening. Each millilitre contains 100 units of insulin. How many days will a 3mL cartridge last for?
  10
12
14
15
 
   
6
 
Seretide 250 Accuhaler® - 1 blister BD is prescribed for a patient. Each disk contains 60 blisters. How many days will this inhaler last for?
  10
30
60
120
 
   
7
 
A patient is prescribed latanoprost eye drops, 1 drop into both eyes at night. Each millilitre contains 50μg. What is the percentage w/v of latanoprost?
  5%
0.5%
0.05%
0.005%
 
   
8
 
A patient is prescribed Ferrous sulphate 200mg TDS, but post-CVA is unable to swallow them. The doctor wants to prescribe Sytron® Elixir. What dose of Sytron would provide an equivalent dose of elemental iron?
  5mL TDS
7.5mL TDS
10mL TDS
12.5mL TDS
 
   
9
 
You receive a prescription for prednisolone 30mg OD for 5 days, then reduce by 5mg every day until stopped. How many 5mg tablets would you supply?
  45
40
57
50
 
   
10
 
You receive a prescription for hydroxycarbamide 1.5g/1g on alternating days. The doctor requests a 30 day supply. How many hydroxycarbamide 500mg capsules would you supply?
  90
75
60
180
         
11
 
The instructions for the reconstitution of Flucloxacillin 250mg/5mL oral solution BP to make up 100mL state: “Add 58mL of potable water and shake until all contents are dissolved”. What is the displacement volume of each 250mg dose?
  0.42mL
0.58mL
2.1mL
2.9mL
 
   
12
 
A patient is prescribed enoxaparin 1.5mg/kg for DVT. He says he weighs 10 stone. What dose should be prescribed?
  64mg
72mg
96mg
110mg
 
   
13
 
You receive a prescription for 2% menthol in aqueous cream. How much menthol is required to make 500g?
  10g
5g
2g
2mg
         
14
 
The BNF states: “For established hypophosphataemia, monobasic potassium phosphate may be infused at a maximum rate of 9mmol every 12 hours.” What volume of a “Phosphates Polyfusor®” should be administered over 12 hours? (Contains approximately 50mmol PO43- in each 500mL polyfusor).
  82mL
90mL
108mL
120mL
       
15
 
Capecitabine is prescribed at a dose of 1250mg/m2 BD for 14 days for a patient. If they weigh 70kg and are 170cm tall. Calculate the dose of capecitabine to be given. BSA=√(weight×height÷3600).
  1,800mg BD
2,275mg BD
2,300mg BD
4,150mg BD
       
16
 
A patient is prescribed 1L sodium chloride 0.9% with 40mmol potassium chloride to be infused over 30 minutes. What rate in mL/hour should the pump be set to?
  2000mL/hour
1000mL/hour
500mL/hour
250mL/hour
       
17
 
In the above infusion, how many grams of potassium chloride are dissolved in each litre of sodium chloride 0.9%? Atomic weight of potassium: 39 Atomic weight of chlorine: 35.5
  2.98
1.86
0.745
0.3
       
18
 
A doctor wishes to give a patient 20mmol of Mg2+ but the ampoule states it contains 5g in each 10mL ampoule. What volume of Magnesium sulphate 50% would contain 20mmol of magnesium ions? Atomic weight of magnesium: 24 Atomic weight of sulphur: 32 Atomic weight of oxygen: 16
  2.4mL
9.6mL
2.9mL
4.8mL
       
19
 
The formula for Peppermint Spirit BPC is given below:
• Peppermint Oil 100mL
• Alcohol (90%) to 1000mL
The BPC states that in order to conform with standards it must contain between 78% and 82% v/v of ethyl alcohol. What percentage of Peppermint Spirit BPC should theoretically be ethyl alcohol?
  78%
80%
81%
82%
       
20
 
Unfortunately you only stock 97% alcohol in your pharmacy. What volume of water will need to be added to dilute it from 97% to 90%?
  25mL
38mL
63mL
65mL