Ravi claims that 2n−12^n - 12n−1 is prime for every integer n⩾2n \geqslant 2n⩾2. Disprove Ravi's claim.
Sian claims that if n2 n^2\,n2 is a multiple of 4 then n n\,n must be a multiple of 4. Disprove Sian's claim.
113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.