I am from Kazakhstan,
First of all, let's decide what travel company you want to use. There are no flights from Aberdeen to Karaganda without landing, thus you will have to chose from the list.
1.KLM
2.Lufthansa
3.Air Astana
4.Transaero
5.British Airways
6.Other
I recommend using one of this airlines as they are relatively cheap, and most of the time require one stop. What I ad
The cheapest one will be to buy a train or drive to London first and then fly from there. Otherwise it will cost around 1500 quid. So this is a website that shows the schedule of Transaero
http://www.transaero.ru/documents/un_sch…
I searched for leaving London on February 1 via Moscow, and returning to London on 16 February via Moscow, and I got around 510 quid. That is a quite cheap, or you can check Air Astana, now stop direct flight about 624 pounds, or at last check British Airways or KLM, but I can guarantee that it will cost around 1200-1400$ unless you get a good deal. I really advice you to fly from London, as you will have to make many stops if you fly from Aberdeen and the price will be higher.
Another route is to fly to Almaty (another city in Kazakhstan), and then take a train to Karaganda, but the train ride will be pretty long about a day, and it is around 200$, so I do not recommend it.
Hope this helps!