Hi,
Article 15(1) and (2) of the UK / Singapore tax treaty advises that if your are resident in the UK while also working for a Singapore employer, working remotely in the UK, you are taxable on this income in the UK:
Singapore-UK Double Taxation Conveniton 1997
As split year treatment applies, you only need to declare your UK income and the remote working income in the tax return. In the interests, of full discosure, you could declare the non UK taxable income in the free hand notes box, so that it is not factored into any calculations.
Thank you.