Completing the Square | 40 Worked Examples | AQA GCSE Higher Maths

40 progressive AQA GCSE Higher (8300) completing-the-square questions with full mark-scheme style worked solutions. Every line is explained and every mark is annotated at the exact point it would be awarded.

What’s inside:
Easy: completing the square for x^2 + bx + c, and reading the turning point and minimum value from completed-square form.
Medium: writing quadratics as (x + a)^2 + b, solving by completing the square in surd form, finding turning points, and proving an expression is always positive.
Hard: completing the square when the coefficient of x^2 is not 1 (including a negative leading term), finding an unknown from a given minimum, and exact surd solutions.

Every solution breaks the work down one step at a time, with the reasoning spelled out in plain English and the hardest questions given extra explanation. Typeset in LaTeX for clean mathematical notation.

Ideal for: Year 10 and 11 students sitting AQA GCSE Higher Mathematics (8300), plus tutors and teachers building targeted practice. Print-friendly, hand straight to students.