Direct and Inverse Proportion | OCR GCSE Higher Maths | 40 Worked Examples (J560)

A 40-question worked-solutions pack on Direct and Inverse Proportion for OCR GCSE (9-1) Higher tier (J560, spec 5.02a/b, strand OCR 5: Ratio, Proportion and Rates of Change). Progressive difficulty from Easy to Challenging: simple direct proportion (y = kx), the unitary method, currency conversion and recipe scaling, inverse proportion (y = k/x) with worker-day and speed-time contexts, then the full Higher-tier extension to a power or root (y = kx^2, y = kx^3, y = k*sqrt(x), y = k/x^2, y = k/sqrt(x)), percentage-change reasoning, table completion and reasoning questions, and synoptic physics-flavoured problems (Hooke’s law, kinetic energy, the pendulum, the inverse-square law of light). Every solution is broken down one atomic step at a time using the four-step k-method, with a plain-English note on each line and OCR M/A mark-scheme annotations folded in on the real mark lines. Built specifically for OCR: it flags that direct and inverse proportion appear across all three Higher papers (J560/04, /05, /06, where J560/05 is the non-calculator paper) and that no proportion relationship is ever given, so the constant k must always be set up by hand. Ideal for revision, homework, or a full lesson resource.