Council tax support is not the only way to cut your bill. There are several discounts and exemptions that apply automatically or on request:
Single person discount: If you are the only adult in your home, you are entitled to a 25% discount. This applies to roughly 8 million households in England, according to government data.
Disability reduction: If your home has been adapted for a disabled person (extra bathroom, wheelchair access, extra room for equipment), you may qualify for a reduction to the band below yours.
Student exemption: If everyone in the property is a full-time student, the household is exempt from council tax entirely.
Severe mental impairment discount: A person certified as severely mentally impaired is disregarded for council tax purposes. If they live alone, this can mean a full exemption. If they live with one other adult, that adult gets a 25% single person discount.
Empty property exemptions: Certain empty homes qualify for exemptions, though many councils now charge a premium on long-term empty properties.
The charity MoneyHelper provides a useful breakdown of every discount available.