Terrible internet speeds - i think...

Hi, the first thing to get out of the way is the 54mbps that you are seeing on your computer, that is the speed of the link between you and the wireless router, not your line speed.
There are many reasons why your line speed is what it is, distance from the exchange, noise on the line, poor internal phone wiring etc..
The first thing to do is establish at what speed your router is synchronising with the exchange.
To do this you need to be able to log into the router and look for the router statistics.
Have a look here to find out how:-
http://www.kitz.co.uk/adsl/frogstats.php

Then if you can plug the router into your Master test socket, you will have to remove the faceplate off the master socket to find this as shown below.



When you have done that post the results, what we are looking for is something like this but it depends on the manufacturer of the router.


Hope this helps.

Attenuation is quite high there. How far are you from your exchange? Is your router plugged into the Master Socket during normal operation, or by an extension?

use samknows.com to find the exchange address/location. Then Google Maps to get get the distance from your postcode. 1.5 miles is quite near and should, in theory, give you better speeds than you are reporting.
Before you do anything else I would change the ADSL filter on your phone socket to see if that makes any difference.

Do you have a microfilter in each phone socket?

Attenuation is measured in decibels, it is a measurement of loss.
The higher the value the greater the loss.
In your case the figure is 41 db, which suggests you should be getting around 8mbps.
In fact your download sync speed is 5.978mbps
Your noise margin is around 11 db which suggests that your line may have been capped. If you listen to your phone line do you hear any pops and crackles?

Unplug any extention phones, extention cables, answer machines or fax (anything except the phone you will use to do the test!).

Plug a normal touch tone phone directly into the BT master socket.

Dial 17070, press option 2 (quiet line test)

You should hear 'Quiet Line Test' and then silence, there should be no pops, clicks, whistles, buzzing etc. If there is noise on the line, make sure it's not your phones connection to the socket (wiggle it about a bit) and that you are using the master socket. If you are sure its the line making the noise then dial BT (or WorldOnline) and report the fault, they should be able to sort it out. Remember that 'mis-reporting' a fault (e.g. if it turns out to be your phone, extention cord etc.) may be charged a call-out fee by BT (/WOL).