Numeracy Sample Paper

Question 1

You have a 5 Molar stock solution from which you wish to produce 100ml of working solution at a concentration of 200mM. Calculate the volume, in ml, of stock solution and water needed to achieve this.

Working solution is made up from [?????] ml of stock (4 marks)

Answer

plus [????] ml of water. (1 mark) Answers to 0 decimal place Answer

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Question 2

Glucose has a molecular weight of 180. You have a solution whose concentration is 63mg.dl-1.

What is the millimolar concentration? [????] mM. (2 marks) Answer to 1 decimal place Answer

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Question 3

You are preparing an injection of a drug supplied as 5ml ampoules containing a solution at a concentration of 1mg/ml.
The required dose is 50>mg/kg (microgram/kg) body weight and your patient weighs 80kg.
a) What volume of drug solution do you inject? [????]ml. (3 marks) 1 decimal place

Answer

How heavy would the patient have to be before you needed more than one ampoule to prepare the injection?

b) The patient would have to be greater than [????]kg (2 marks) 1 decimal place Answer

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Question 4

The term ‘Parts per Million (ppm)’ is equivalent to mg/kg. A sample of water is found to contain 2 ppm Aluminium (atomic weight = 27).

What concentration does this represent in micromoles per litre? [????]microM.l^-1 (3 marks) 2 decimal places Answer

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Question 5

A cough mixture contains 7% w/v ethanol in its formula.
If 15g. ethanol is considered a toxic dose for a 2 year old child, what volume of cough mixture would this represent?

Toxic level of cough mixture for 2 year old child is [????] ml (2 marks) 1 decimal place. Answer

Question 6

Tick the boxes that describe the relationship between the values in the left column. The answers have been provided: (1 mark each)

	1:10	1:100	1:1000	10:1	100:1	1000:1
1mM to 1M			X
100 mOsm to1Osm	X