How can I start investing after A Levels with $1k savings?

If you have an emergency fund (honestly as a post A level student, you wouldn't have too much utility for an emergency fund but it's nevertheless a good finance habit to build), put it in a digital advisor while you read up on investing.

That gives you time to read up on investing while your $1k goes to work.

Good Day!

I see that you have a keen interest towards investing. You can consider parking your money inside robo advisor such as stashaway or syfe. This is because I feel that the current bank interest are pretty low now.

As you got a list of investing books which you plan to read and learn about investment, what I suggest is to sign up with a broker account to make use of their training account. Personally I feel that there is no better way to learn than to actually perform trading. But with a training account, you do not need to deposit actual money. Hence, this can allow you to adapt theory knowledge into actual market scenario.

One of the broker which I recommend is Tiger brokers. They are regulated by MAS and have interactive platform for trading.

Do take a look at my blog on the steps to sign up. I have also include the steps on how to deposit, withdraw and do currency conversion
https://investorean.blogspot.com/2020/12/how-to...

Do keep in mind to set aside a sum of money as emergency fund and not throw in your whole fortune when investing!