What is the concentration (in mM) of the ketamine in a supplied vial that contains 200 mg in 2 mL? (the molecular weight of ketamine is 237.7 g/mole).

A patient requires a dose of 40mg of ketamine.  For treatment, a vial of ketamine (200 mg in 2 mL) is diluted to 20 mL for administration.

What volume of the diluted ketamine

solution should be administered to the patient? (enter value only, will be assumed to be in mL)

A patient (20 kg) being treated by a paramedic

needs to be intubated, following sedation with ketamine at a dose of 1.5 mg/kg. 

What dose (in mg) should be administered?  (enter number only, units will be assumed to be in mg)

What is the  dosage of elemental iron ingested if a patient swallows 8 tablets of iron supplement (425 mg/tablet) with compositions of elemental iron = 25% w/w?

A patient with a suspected paracetamol overdose returns a serum paracetamol concentration of 600 μmol/L, four hours after admission.

As the treating clinician (using the nomagram below), you would commence treatment. (True = Yes/False = No)

A solution has a paracetamol concentration of 950 μg/L.  Choose from the list below the equivalent concentration in mg/dL.

In the video from Ray the paramedic he discussed why it is important to have confidence in maths.

Why is a knowledge of concentration unit and calculations important in a pressured clinical setting.

An aliquot (20 mL) of a Na₂SO₄ stock solution is made up to 200 mL with water.  The final concentration of Na₂SO₄ in the diluted solution is 50 mM.  What was the concentration of Na₂SO₄ in the stock solution?

An aliquot (20 mL) of 150 mM Na₂SO₄ is added to 280 mL water.  What is the final concentration of Na₂SO₄ in the diluted solution?

A stock solution of 2.0 M Tris-HCl buffer needs to be diluted to a final volume of 220 mL and final concentration of 150 mM.  What volume of stock solution is required?