Inequalities | AQA L2 Further 8365 | 40 Worked Examples

40 fully worked inequality questions for AQA Level 2 Certificate in Further Mathematics (8365), matched to specification reference 2.17 (solution of linear and quadratic inequalities). Every solution is broken down one line at a time with a plain-English note on each step and authentic AQA mark-scheme codes (M1, M1dep, A1, B1) annotated in the margin, so students see exactly where the marks are earned. Questions ramp from linear inequalities (including the sign-flip when dividing by a negative) through quadratic inequalities solved by factorising, completing the square and reading the region off a parabola sketch, up to genuine Further-Maths challenge: inequalities that reduce to a quadratic, discriminant conditions for the number of real roots, increasing-function parameter problems using the derivative, and area modelling with a physical constraint. Clear number-line and parabola figures show how to present the final answer the way AQA wants it, using the correct signs and the word ‘and’ or ‘or’. Ideal for classwork, homework, revision and exam preparation for the top 10 to 20 percent of the GCSE cohort bridging to A-Level. 25 pages, progressive difficulty, answers and full method included.