SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Measurement, STD2 M7 SM-Bank 3

Bronwyn needs to have 3.0 litres of intravenous liquid given to her over a period of 4 hours. 

What is the required flow rate in mL per minute?   (2 marks) 

Show Answers Only

`12.5\ text(mL/minute)`

Show Worked Solution
`text(Total liquid)` `= 3.0 xx 1000`
  `= 3000\ text(mL)`
`text(Total minutes)` `= 4 xx 60`
  `= 240`
`:.\ text(Flow Rate)` `= 3000/240`
  `= 12.5\ text(mL/minute)`

Measurement, STD2 M7 SM-Bank 2

A medication is available in both tablet and liquid form.  A tablet contains 50 mg of the active ingredient while the liquid form contains 60 mg per 10 mL.  

Michael likes taking tablets and Georgia prefers liquid medicines.  If they each need 0.2 g of the active ingredient, what dosages do they take?   (3 marks) 

Show Answers Only

`text(Michael needs to take 4 tablets)`

`text(and Georgia needs to take 33.3mL.)`

Show Worked Solution

`text(Michael – tablets)`

`0.2\ text(g) = 200\ text(mg)`

`:.\ text(# Tablets)` `= 200/50`
  `= 4`

 
`text(Georgia – liquid)`

`60\ text(mg in)\ 10\ text(mL)`

`=> 1\ text(mg) = 10/60 = 0.166…\ text(mL)`

`=> 200\ text(mg)` `= 200 xx 0.166…`
  `= 33.33…\ text(mL)`
  `= 33.3\ text(mL)\ \ text{(to 1 d.p.)}`

 

`:.\ text(Michael needs to take 4 tablets and Georgia)`

`text(needs to take 33.3 mL.)`

Measurement, STD2 M7 SM-Bank 8

A patient is to receive 1.8 L of pain killer medication by intravenous drip that will take 1.5 hours to administer.

Given  1 mL = 4 drops, calculate the amount of drops per minute the machine must be set on.   (2 marks)

Show Answers Only

 `text(The machine must be set to 80 drops per minute.)`

Show Worked Solution
`text(Total drops required)` `=1800 xx 4`
  `=7200\ text(drops)`
`text(Time)\ text{(in minutes)}` `=1.5 xx 60`
  `= 90\ text(minutes)`
`text(Drops per minute)` `=7200/90`
  `=80`

 

 
`:.\ text(The machine must be set to 80 drops per minute.)`