Numerical Methods | OCR A-Level Maths | 40 Worked Examples (H240)

40 fully worked numerical methods questions for OCR A A-Level Mathematics (H240), graded Easy to Challenging and annotated to OCR’s own M/A/B/SC mark scheme. Every solution is broken down one step at a time with a plain-English note on each line, so students see exactly how the marks are earned. Full coverage of spec section 1.09: locating roots by change of sign (and why the method fails at asymptotes and repeated roots), fixed-point iteration x(n+1)=g(x(n)) with staircase and cobweb diagrams, the convergence condition |g’(a)|<1, the Newton-Raphson method (including its derivation from the tangent and its failure at a stationary point), and the trapezium rule for numerical integration with over/under-estimate reasoning and error-in-context problems. Includes clear TikZ diagrams for staircase, cobweb, Newton-Raphson tangent and asymptote cases, plus ‘detailed reasoning’ (DR) questions in authentic OCR style. Ideal for exam revision, homework or 1-to-1 tuition. Answers to 3 significant figures throughout, matching OCR’s accuracy convention.