Exponentials and Logarithms | 30 Worked Examples | OCR B MEI A-Level Maths

30 fully worked questions on exponentials and logarithms for OCR B (MEI) A-Level Maths (H640), built for Year 12 students who want exam-style practice on the whole Year 1 exponentials and logarithms topic. Questions follow the style of the H640/01 and H640/02 papers, with command words such as Find, Show that, Determine and Sketch, three questions carrying the detailed reasoning instruction, and several with a labelled graph. The pack covers the graph of y = a^x and its asymptote, converting between index and log form, the laws of logs, solving a^x = b by taking logs including hidden quadratics and inequalities, solving log equations and rejecting invalid roots, e^x and ln x, the gradient of e^kx, growth and decay models with their limitations, and reducing y = ax^n and y = ab^x to linear form. Every solution is broken into single steps with a plain English reason, an arrow note on every line and OCR style M1, A1 and B1 marks placed exactly where a mark scheme rewards them. The total is 175 marks. Ideal for homework, revision, tutoring or self study, and a complete answer for every question is included.

What’s inside:
Easy: 10 questions on y = a^x, index and log form, evaluating and combining logs, solving a^x = b, e^x and ln x, the gradient of e^kx and a simple growth model
Medium: 13 questions on log laws, equations with unequal bases, hidden quadratics, inequalities, log equations, sketching e^x and ln x, linear form from graphs and data, cooling and half-life
Hard: 7 questions on stationary points of exponential curves, competing drug models, compound interest in e^kt form, estimating constants from data, and bounded growth