@SusanMaria I suggest you check some of this out.
For anyone worried about survival on the state pension. If that is your only income (and limited savings), it's not all you'll have.You'll get pension credit too
Not correct. You can top up a pension with pension credit but it depends on many factors including your savings and your lifetime contributions. Pension credit is not an automatic payment. The top-up is small anyway. ( I handle all my elderly Mum's finances and can assure you that you are incorrect- sorry!)
Council tax benefit pays part/all of the council tax depending on where you live in the UK
You may get something but only if you already qualify for pension credit. (and have below a certain threshold for savings) A single person gets a reduction.
The personal tax allowance is higher, so if you do need or want to continue working part time you can earn more as a pensioner without reaching the threshold for paying tax than if you were working age
This is completely untrue. Pensions plus income earned, combined, are eligible for tax at the usual personal allowance rate. (currently £12750). A combined income of state and occupational pension is taxed at the usual rates which is 40% for anyone with a good pension + state pension.
Pension credit I think qualifies you for free prescriptions, if they're not already free in your country. There may be other things too, the winter fuel allowance for example.
Free prescriptions are available to anyone over 60 in England, employed or working. So that would apply to everyone drawing a state pension. The winter fuel allowance changes whoever is in government and depends on each budget!