Overall Verdict
This session's assessment presents a well-balanced yet challenging combination. Paper 12 (Non-calculator) tests raw arithmetic and algebraic agility, particularly in logarithmic manipulation and geometric proof, whilst Paper 22 (Calculator) probes deep problem-solving skills, primarily through multi-step calculus and trigonometry questions. The omission of calculators in Paper 1 elevates the difficulty of typically straightforward topics, such as polynomial factorization and series evaluations.
Where the Marks Are
The lion's share of the marks resides in Calculus (50 marks across both papers). Mastery of basic differentiation rules alone is insufficient; examiners rewarded candidates who could confidently set up chain-rule relations for spherical volume expansion and correctly formulate normal lines using the product rule. Series and Sequences (25 marks) is another high-value domain, requiring fluent application of AP/GP formulae embedded with logarithmic properties.
Common Pitfalls & Mistakes
- Algebraic Slips in Non-Calculator Scenarios: Simple errors in fraction additions or indices laws, notably in the fractional power substitutions of Q2 (Paper 1), cost many candidates accuracy marks.
- Incomplete Circle Tangency Arguments: In P1 Q3, many candidates showed the discriminant was zero but failed to explicitly write down the logical deduction: 'Since \( D = 0 \), the line is a tangent.'
- Graph Sketching Deficiencies: Omitting critical asymptotes (such as the vertical asymptote \( x = 1.33 \) for the logarithmic graph) or failing to show reflection symmetry across \( y = x \) for inverse functions led to heavy penalties.
Preparation Strategy
To excel in future sittings, students must practice core arithmetic without relying on calculators. Focus on solving quadratic equations involving indices and logs, simplifying trigonometric identities under time pressure, and executing long-division or synthetic division on polynomials without simple integer coefficients.