Hi Ian,
You can use an International Driving Permit. You should however still keep your original driving license card on you, as well as passport. One of the other posts suggested that you also get a letter from the chief of police in Karaganda officially recognising your IDP as legal in Kazakhstan.
Also, if you want to buy a car, you cannot register it on your name, unless you have a Permanent Residence card. However, if you drive someone elses car, you need to be included in the Insurance.
I bought a car, got a trusted friend to register on his name, but I was included in the Insurance. Boom!
Driving around without any stress!