Executive Examination Overview

The Cambridge IGCSE International Mathematics (0607) October/November 2024 series maintained the rigorous standard expected of the curriculum. The non-calculator paper (Paper 23) assessed core algebraic competencies, numerical operations, surds, and logarithmic laws. Paper 43 served as the primary discriminator, demanding extensive use of graphic display calculators (GDC), multi-step problem solving across coordinate geometry, non-right-angled trigonometry, 3D mensuration, and non-linear function intersections. Paper 63 presented two substantial tasks: an investigation into Diagonal Squares and a real-world kinematic modelling scenario on Safe Overtaking.

Where the Marks Are Distributed

Across the Extended syllabus papers, the highest mark concentrations appeared in:

  • Algebra & Sequences: Dominating both standard papers and the Paper 6 investigation, testing algebraic fractions, algebraic rearrangement, quadratic factorisation, and sequence derivation.
  • Functions & Graphs: Involving cubic and rational curves, domain and range constraints, composite/inverse functions, and GDC-based inequality solving.
  • Coordinate Geometry & 3D Mensuration: Combining perpendicular bisectors, 3D spatial diagonals, and sphere-to-cube volume conversions.
  • Mathematical Investigation & Modelling: Comprising 60 marks total on Paper 6, rewarding structured reasoning, algebraic generalisation, and dimensional unit consistency.

Key Pitfalls and Loss of Marks

Mark schemes reveal several consistent student difficulties:

  • Algebraic Fractions & Negative Signs: In algebraic fraction manipulation (e.g., Paper 23 Q15 and Paper 43 Q8(b)), students frequently misapplied subtraction over numerators, dropping minus signs across binomial expressions.
  • GDC Precision and Inequality Boundaries: On Paper 43 Q4(e), many candidates failed to recognize vertical asymptotes at \(x = 0\) when writing continuous inequality intervals for \(f(x) \leqslant g(x)\).
  • Transformations Specification: Describing transformations often lost marks due to omitting the centre of enlargement/rotation or invariant line in one-way stretches.
  • Communication on Paper 6: Step-by-step reasoning was essential; omitting intermediate calculations when stating general algebraic expressions led to penalty in communication marks (C-marks).

Preparation & Strategy for Future Series

To maximize scores in subsequent sessions, students should:

  • Master GDC window adjustments and intersection/zero finders to quickly verify roots and inequalities.
  • Practice formal communication for Paper 6 by writing full algebraic steps rather than relying solely on numerical inspection.
  • Strengthen index and logarithmic law manipulation under non-calculator conditions.