Compound Measures | OCR GCSE Higher Maths | 40 Worked Examples (J560)

A 40-question worked-solutions pack on Compound Measures for OCR GCSE (9-1) Higher tier (J560, spec 10.01b ‘Compound units’, strand OCR 10: Mensuration, DfE refs N13/R1/R11/G14). Progressive difficulty from Easy to Challenging: speed = distance / time in both directions, density = mass / volume, pressure = force / area, rates of pay, unit pricing, best-value comparisons and rate of flow, then the full Higher-tier extension to converting compound units (km/h to m/s, m/s to km/h, g/cm3 to kg/m3), population density, multi-stage average speed with the classic ‘you cannot average the speeds’ trap, mixing metals to find an alloy density, converting a rate through two units (litres per second to cubic metres per hour), pressure in pascals from an area in cm2, density in algebraic contexts (m = 7.5x^3), and synoptic multi-step problems (the cost of steel in a girder, a train arriving on time, snowshoes and pressure). Every solution is broken down one atomic step at a time with a plain-English note on each line and authentic OCR M/A/B mark-scheme annotations folded in on the real mark lines (no Edexcel P-marks). Built specifically for OCR: it opens by flagging that OCR gives no general formula sheet, so speed, density and pressure must all be memorised, and that the topic is examined across all three Higher papers (J560/04, /05, /06, where J560/05 is the non-calculator paper). Ideal for revision, homework, or a full lesson resource.