Do something impossible before  breakfast

Do something impossible before breakfast

Given: a = b Multiply by a: a2 = ab Subtract b2: a2 – b2 = ab – b2 Factorise: (a + b)(a – b) = b(a – b) Divide by (a – b): (a + b) = b Substitute for b: a + a = a Simplify: 2a = a Divide by a: 2 = 1 Clearly, this is impossible. So...
Circle theorems

Circle theorems

I just added a sheet of circle theorems. Unfortunately, you just have to learn these, but it’s well worth it. You need to able to spot which theorem to use when you see a question. The best way to get better at this is practice. The more examples you do, the...