OCR FSMQ Additional Mathematics Past Papers

OCR Free Standing Mathematics Qualification (FSMQ) in Additional Mathematics (specification 6993) is a Level 3 enrichment qualification for high-attaining GCSE and A-Level students who wish to extend their mathematical knowledge into areas beyond GCSE and develop a bridge towards A-Level Mathematics and Further Mathematics. It is also offered as a standalone qualification for very able Year 10–11 students and provides university admissions evidence of high mathematical ability. The single examined paper covers five main topic areas. Algebra extends GCSE content into factor theorem, remainder theorem, polynomial long division, and the solution of inequalities including quadratic inequalities. Coordinate Geometry covers the equation of a straight line in various forms, distance between two points, midpoint, gradient, the equation of a circle (x – a)² + (y – b)² = r², and the condition for a line to be tangent to a circle. Trigonometry extends the GCSE SOHCAHTOA approach into the sine rule, cosine rule, area of a triangle formula (½ab sinC), and exact trigonometric values for 30°, 45°, and 60°. Calculus introduces differentiation and integration of polynomials: differentiating xⁿ, finding the equation of a tangent or normal at a given point, identifying stationary points by setting dy/dx = 0, and using integration to find the area between a curve and the x-axis. Exponentials and Logarithms covers the laws of logarithms (log ab = log a + log b, log aⁿ = n log a, log(a/b) = log a – log b), the change of base formula, and the solution of exponential equations using logarithms. A formulae sheet and printed answer book are provided. The paper is substantial and requires fluency across all five topic areas to complete within the time limit.