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Most rate advice starts with what other tutors charge. This starts with what you need to live on, and works backwards.
After tax and after what you spend on the business.
Hours you actually bill, not hours you work.
52 minus holidays, exam gaps, and summer.
Self-employment plus income tax. 25–30% is a common starting point — check your own situation.
Materials, software, mileage, insurance.
The hard half is asking for it. Slate logs your sessions, turns them into invoices, and does the following up in your name until the money lands.