Chain Rule | OCR A A-Level Maths | 40 Worked Examples (H240)

A complete, fully worked set of 40 chain rule questions for OCR A A-Level Mathematics (H240, spec point 1.07r). Every solution is broken down one line at a time, with a plain-English note on the right of each step and OCR-style mark-scheme codes (M/A/B) folded in on the lines that actually earn marks. Questions ramp from Easy (differentiating simple composite functions like (2x+1)^5, e^(x^2), sin 3x and ln(5x+1)) through Standard (composite polynomials, logs, trig and exponentials, gradients, stationary points and tangents) to Challenging (connected rates of change for spheres, cones and cubes, inverse-function derivatives dy/dx = 1 / (dx/dy), double-angle simplification and triple-nested chains). Several questions carry the OCR ‘detailed reasoning’ instruction so students learn where full working is compulsory. Answers follow OCR conventions: exact form kept as e, pi and surds, decimals to 3 significant figures. Ideal for revision, homework, or one-to-one tuition. Written by a Bath engineering student and tutor.