Quadratic Functions and Equations | 30 Worked Examples | OCR B MEI A-Level Maths

30 fully worked questions on quadratic functions and equations for OCR B (MEI) A-Level Maths (H640), built for Year 12 students who want to solve, sketch and reason about quadratics with confidence. Questions are written in the style of the H640 papers, with command words such as Find, Show that, Determine and Hence, two questions carry the detailed reasoning instruction, and several come with a labelled diagram of a parabola, a line and a tangent, or two intersecting curves. The pack covers solving by factorising, completing the square and the quadratic formula, quadratics hidden inside a function of the unknown such as x to the fourth or the square root of x, completing the square to find the turning point and line of symmetry and sketch the curve, the discriminant for distinct, repeated and no real roots including finding a range for a parameter, a line meeting a curve and tangency, simultaneous equations with one linear and one quadratic, quadratic inequalities in set notation and with and or or, and modelling with area, profit and ball height including the limits of the model. 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, so students see how marks are earned and where they are lost. The total is 170 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 factorising, completing the square, the formula, the discriminant, a first inequality, reading roots from a graph and one linear and one quadratic simultaneous equation
Medium: 13 questions on hidden quadratics, sketching with the turning point and intercepts, parameters in the discriminant, tangents, ranges of k, double inequalities and profit and ball height models
Hard: 7 questions on tangents from a point, counting the real roots of a quartic, a parameter with a trap, a fence optimisation with a restriction, two intersecting parabolas, a vertex on a line and lattice points in a region