Some time has passed since the initial question was asked, but I'm not thrilled with the answers here.
You say you are getting a 36mbps speed in the bedroom, where the router is, and only getting a 5mbps speed in the lounge, where the repeater is.
Assuming that there is no interference from other devices, and there is a relatively clear path between the router and the repeater:
What you could do to improve this situation is put the repeater halfway between the lounge and the bedroom. When you connect your device from the lounge, you should get a better transfer speed.
Why? Because the speed of the transfer drops in an exponential manner the further the repeater and router get away from each other. By keeping the repeater a shorter hop from the router, and then your device a shorter hop from the repeater, you keep the signal stronger along the whole path, rather than having a weaker/exponentially slower signal between the router the device.
Hope this helps even though some time has passed.
1Does the extender theoretically support anything faster? Which band does it use? In other words, can the extender be the limit? – Aganju – 2016-09-01T11:57:59.327
In the description of the extender it says it supports "Transfer speed: N300." – Kate Hudson – 2016-09-01T12:39:43.510
Can you give us the brand and model of the extender? How is the extender connected, WiFi or Ethernet? What is the signal strength the extender is getting from the router? If it is WiFi, it is likely suffering the same poor signal issue the devices suffered without the extender. – CharlieRB – 2016-09-01T13:41:19.683
Yes, it's a Belkin N300 WiFi Range Extender. It's connected by WiFi. Not sure how to check it's signal but can try tonight. – Kate Hudson – 2016-09-01T13:51:56.090
A Wi-Fi range extender is going to top out at a maximum of half, but probably a quarter, of the direct Wi-Fi speed. This is because Wi-Fi is a shared medium, and a Wi-Fi device cannot both send and receive at the same time. Wi-Fi devices must also yield to other devices on the same frequency, even if the other devices are not in the same network (think about your router, extender, hosts, a neighbor's Wi-Fi router and hosts, and/or Bluetooth devices). – Ron Maupin – 2016-09-03T02:19:03.040