Difficulty Verdict
The 2022 Paper 1 is rated as moderate to challenging (3.3/5). While Section A(1) and A(2) closely followed established past paper patterns, Section B featured several heavy algebraic and conceptual hurdles, particularly in Question 18 (3D Trigonometry) and Question 19 (Coordinate Geometry of Circles). These questions required strong spatial visualization and algebraic manipulation skills under tight time constraints.
Where the Marks Are
Section A represents a crucial harbor of marks, comprising 70 out of the 105 total marks. Standard topics such as Polynomials (Q4, Q14), Variations (Q10), and Measures of Dispersion (Q9, Q11) offered straightforward marks for candidates who had done thorough past paper drillings. Section B’s Q15 (Probability) and Q16 (Completing the Square) were also relatively friendly entry-level Section B questions.
Examiner Pitfalls and Candidate Performance
Candidates lost significant marks in the following areas:
- Rational vs. Real Roots: In Q14(c), many candidates confused the condition for "rational roots" with "real roots". For roots of a quadratic equation to be rational, the discriminant \( \Delta \) must be a perfect square.
- Geometric Projections: In Q18(b), identifying the angle between a line and a plane required projecting point \( P \) onto the ground, which stumped candidates who relied solely on 2D triangles.
- In-centre Coordinates: Q19(c) required finding the inscribed circle. Candidates struggled to set up equations matching the radius to the perpendicular distances of the tangent lines.
Strategy and Prediction for Next Year
To maximize scores, candidates must master the art of "mark harvesting". Secure the first 70 marks in Section A with high precision before attempting the highly algebraic parts of Section B. In upcoming exams, topics such as Linear Programming in Section B and complex Loci problems are highly overdue and should be prioritized in revision.