LPN INTENSIVE CALCULATIONS�� WORKBOOK THREE��� INTENSIVE GPHC Exam revision � programme FOR NOV 2025
LONDON PHARMACIST NETWORK (LPN)
INTENSIVE REVISION FOR NOV 2025
GPHC EXAM.
OPENING REMARKS
TODAY’S TOPICS
MIXED DILUTION ✅
MASS, MOLAR, MR ✅
DRUG ADHERENCE✅
BREAKTHROUGH PAIN ✅
IDEAL BODY WEIGHT ✅
MIXED DILUTION QUESTION 1
You have in stock 400 ml of a KCL 10% (w/v) solution. You receive instructions to produce a new solution by removing 250 ml of the stock solution and replacing it with 120 ml of a KCL 5% (w/v) solution.
What would be the percentage strength of the new solution produced? Give your answer to one decimal place.
MIXED DILUTION QUESTION 2
You have in stock 200 ml of a CaCL 1 in 500 solution. You receive instructions to produce a new solution by removing 80 ml of the stock solution and replacing it with 120 ml of a CaCL 1000 PPM solution.
What would be the percentage strength of the new solution produced? Give your answer to two decimal place.
QUESTION 3 – MIXED DILUTION
You currently have a 300ml stock of glucose 20%, you have been asked to remove 200ml from your stock and add in 100ml of a new glucose 5% solution. What is the concentration of the new solution?
QUESTION 4 – MIXED DILUTION
You have three different strengths of chlorhexidine solution in stock; 200 mL of 80% v/v solution, 100 mL of 40% v/v solution, and 50 mL of 20% v/v solution. If all three solutions are mixed together, what would be the concentration of the final volume in %v/v.
ANSWER AS WHOLE NUMBER
QUESTION 5- MIXED DILUTION
You are required to mix 3 glucose solutions and water together.
MIXED DILUTION QUESTION 6
QUESTION 7 – MIXED DILUTION
You currently have a 300ml stock of glucose 20%w/v, you have been asked to remove 125ml from your stock and add 125ml of a glucose 5%w/v solution to it. What is the concentration of the new solution in %w/v?
Give answer to 1.d.p
QUESTION 8- MIXED DILUTION
You currently have a 500ml stock of glucose 20%, you have been asked to remove 125ml from your stock and add 125ml of a glucose 10% solution to it.
What is the concentration of the new solution?
Give answer to 1.d.p
QUESTION 9- MIXED DILUTION
You are required to mix three glucose solutions together.
ANSWERS
ANSWER 1 – MIXED DILUTION
C1v1 plus c2v2 = c3v3 i.e your mixture
10 x 150 + 5 x 120 = C3 X 270
X = 7.77778
7.8%
ANSWER 2 – MIXED DILUTION
C1v1 plus c2v2 = c3v3 i.e your mixture
0.2% x 120 + 0.1 x 120 = C3 X 240
X = 0.15
ANSWER = 0.15%
ANSWER 3- MIXED DILUTION
C1V1 PLUS C2V2 = C3V3
20 x 100 plus 5 x 100 = c3 x 200
2500/200
C3 = 12.5
ANSWER = 12.5%w/v
ANSWER 4 – MIXED DILUTION
C1V1 + C2V2 + C3V3 = C4V4
80 X 200 + 40 X 100 + 20 X 50 = C4 X 350
C4 = 21000 / 350
ANSWER = 60%
ANSWER QUESTION 5- MIXED DILUTION
C1V1 + C2V2 + C3V3 = C4V4 ( final solution )
5 X 300 + 12.5 X 500 + 7.5 X 700 = C4 X 1800 ML
1500 + 6250 + 5250 = C4 X 2150
13000/ 2150 = 7.2222
C4 = 6.05%
ANSWER 6 – MIXED DILUTION
ANSWER 7- MIXED DILUTION
ANSWER 8- MIXED DILUTION
ANSWER QUESTION 9 - MIXED DILUTION
QUESTION 1- MASS,MOLES,MR
A 58-year-old female patient requires sodium citrate for cystitis treatment . Note that when a sachet is dissolved in 200ml water, the following electrolytes and their content in mg are found within.
Glucose=325mg,
Sodium=277mg,
Disodium hydrogen citrate =530mg .
Na+ RMM is 23g/mol.
How many mmols of sodium are available in a 1 litre solution?
Answer to 1 d.p.
MASS MOLAR MASS - QUESTION 2
MASS , MOLAR MASS QUESTION 3
MASS, MOLAR MASS - QUESTION 4
MASS , MOLAR MASS QUESTION 5
QUESTION 6- MASS,MOLAR MASS
QUESTION 7 – MASS, MOLAR MASS
You are required to prepare a fluid bag for an elderly patient who is suffering from hypocalcemia. You receive instructions to add 20mmol of calcium ions to a fluid bag.
MASS /MOLES - QUESTION 8
Mr John is a 74-year-old man who is receiving treatment for mania. He is taking Lithium carbonate 520mg/5ml at 15ml twice a day. The molecular formula for lithium carbonate is Li2CO3. The molecular weights are
QUESTION 9- MASS, MOLES
QUESTION 10 –MASS, MOLES
QUESTION 11- MASS, MOLES
QUESTION 12-MASS, MOLES
QUESTION 13-MASS,MOLES
ANSWERS
QUESTION 1 ANSWER – MASS, MOLES
Mole = mass/ Mr
Mmol = 277 / 23
12.04mmol = 200ml
12.04 x 5 = 60.21mmol in 1000ml
ANSWER = 60.2MMOL
ANSWER 2-MASS, MOLES
1000000
ANSWER TO QUESTON 3
Molecular weight of potassium chloride =74.5g/mol
1 mol KCL = 74.5g
ANSWER 4- MASS, MOLES
ANSWER 5 – MASS, MOLES
ANSWER 6- MASS, MOLES
ANSWER 7
ANSWER 8
ANSWER 9
ANSWER 10- MASS, MOLES
ANSWER 11-MASS, MOLES
ANSWER 12- MASS, MOLES
(C9NH13)2H2S04= 368
ANSWER 13- MASS, MOLES
ADHERENCE – QUESTION 1
Mrs. R. was prescribed carmellose 0.5%w/v eye drops at the dose of 2 drops in both eyes QDS for 28 days. After using 2ml of the eye drops , she returns the remaining eye drops and tells you that she can no longer continue taking the drug due to side effects.
Calculate the % adherence in this scenario assuming no wastage?
ADHERENCE – QUESTION 2
Mrs. L was prescribed Erythromycin 250mg QDS for 7 days. After taking the medicine for 3 days, She returns the remaining tablets and tells you that she can no longer continue taking the drug due to side effects.
Calculate the % adherence in this scenario assuming no wastage?
ADHERENCE- QUESTION 3
Mr. Choi has been prescribed a bottle of 120ml mometasone nasal spray by his doctor. He is instructed to administer 2 squirts BD in each nostril per day. The strength of this mometasone nasal spray is 0.05%w/v and each squirt is about 150 microlitres. His doctor wants him to use the spray for 14 days treatment.
Calculate the % adherence in this scenario assuming Mr. Choi only uses 8.4ml out of the total volume his doctor instructed him to use?
Answer as whole number.
ADHERENCE- QUESTION 4
James – a six-year-old baby was prescribed Amoxicillin 250mg/5ml suspension 5ml TDS for a fortnight . After taking 12 doses of the medicine , his dad returns the remaining drug and tells you that he can no longer continue taking the drug due to persistent diarrhoea. Calculate the % adherence in this scenario assuming no wastage?
BREAKTHROUGH PAIN - 1
QUESTION 2 - BREAKTHROUGH PAIN
BREAKTHROUGH PAIN - 3
QUESTION 4
BREAKTHROUGH PAIN - 5
QUESTION 1- IDEAL BODY WEIGHT
Calculate ideal body weight for the patient below.
Weight – 98kg, Height – 179cm, 1 ft = 30.48cm and 1 inch = 2.54cm
Mrs. James is to be treated for UTI by intramuscular injection with an aminoglycoside at the lowest possible dose due to renal impairment. Use the formula provided below.
( IBW = 2.3kg for each inch over 5 feet + constant)
Male = 50kg , female = 45.5kg
Calculate ideal body weight in Kg and state answer to 1.d.p.
IDEAL BODY WEIGHT 2
Consider the following information about the patient below.
IDEAL BODY WEIGHT 3
Consider the following information about the patient below.
QUESTION 4 - IDEAL BODY WEIGHT
QUESTION 5 - IBW
Mrs. K a 50-year-old woman is to receive IV vancomycin at a dose of 3mg per kg daily in three divided doses. You have 20mg/ml vancomycin injection vials in stock. What volume of this will be required for a dose ? Use the ideal body weight in your calculation as she suffers from renal disease. Answer to 1.d.p. 1lb = 0.45kg, 1 ft = 30.48cm, 1 inch = 2.54cm
6 - CORRECTED BODY WEIGHT
See formulas provided
7 - CORRECTED BODY WEIGHT
ANSWER 1 - ADHERENCE
ANSWER 2 - ADHERENCE
ANSWER 3 - ADHERENCE
ANSWER 4 - ADHERENCE
ANSWER 1- BREAKTHROUGH PAIN
ANSWER 2 - BREAKTHROUGH PAIN
ANSWER 3- BREAKTHROUGH PAIN
ANSWER 4- BREAKTHROUGH PAIN
ANSWER 5- BREAKTHROUGH PAIN
maximum = 1/6
QUESTION IBW - 1 ANSWER
IBW = 2.3kg for each inch over 5 feet + constant
30.48cm x 5 = 152.4cm
179 – 152.4 = 26.6cm
26.6 / 2.54 = 10.47244 inches
2.3 x 10.47244 + 45.5 = 69.581
ANSWER = 69.6kg
ANSWER 2 - IBW
ANSWER 3 - IBW
ANSWER 4 - IBW
ANSWER 5 -IBW
192.459mg = x
ANSWER 6- CORRECTED BODY WEIGHT
ANSWER 7- CORRECTED BODY WEIGHT
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