Simultaneous Equations & Inequalities | OCR A-Level Maths | 40 Worked Examples (H240)

40 fully worked questions on simultaneous equations and inequalities for OCR A-Level Mathematics A (H240), covering the complete algebra content across spec 1.02c and 1.02g to 1.02i. Simultaneous equations are drilled by both elimination and substitution, including one linear with one quadratic equation, systems with brackets and fractions, a line meeting a circle, and a genuinely non-linear pair. Inequalities cover linear, double and quadratic types, the sign-flip when multiplying by a negative, fractional inequalities solved safely by the square-of-the-denominator method, and the discriminant link that decides how many times a line meets a curve. Solutions are expressed with correct set and interval notation, using union and intersection, and graphical representation is included with number-line and region-shading diagrams (y > x + 1 and y > ax^2 + bx + c). Questions run in three graded tiers (Easy, Standard, Challenging) with authentic OCR command words and detailed-reasoning (DR) tasks. Each solution is broken down one step at a time with a margin note on every line and OCR M/A/B mark-scheme annotations, so students see exactly where the marks are won. Ideal for revision, homework and exam practice.