24 hours to exam? This page tells you exactly what to focus on, what to skip, and how to manage your time tomorrow.
CBSE Class 12 Applied Mathematics
24 Hours Before the Exam
No time for everything. This guide tells you exactly what to revise, which topics almost certainly appear, what mistakes to avoid, and how to manage your 3 hours in the exam hall.
Focus on These Chapters First
- Numbers & Quantification — successive discounts, partnership, time-work-distance numericals
- Matrices & Determinants — operations, inverse, solving 2×2 and 3×3 linear equations
- Calculus — Maxima/Minima with business context (revenue, cost, profit functions)
- Index Numbers — Laspeyre's, Paasche's, Fisher's formulae and interpretation
- Financial Mathematics — EMI, compound interest, annuities, depreciation
- Linear Programming — feasible region, corner points, graphical method
- Probability — Baye's theorem, conditional probability, probability distributions
- Inferential Statistics — Population, sample, mean, variance of grouped data
Key Formulas & Facts to Memorise Right Now
- Fisher's Index = √(Laspeyre's × Paasche's) — ideal index number
- EMI formula: EMI = P·r(1+r)ⁿ / [(1+r)ⁿ − 1] where r = monthly rate, n = months
- Break-even point: Total Revenue = Total Cost (profit = 0)
- Baye's theorem: P(A|B) = P(B|A)·P(A) / P(B)
- SBD (Straight Line Depreciation) = (Cost − Scrap) / Useful Life
- Maxima: f'(x) = 0 and f''(x) < 0 | Minima: f'(x) = 0 and f''(x) > 0
- Corner point method: evaluate objective function at each vertex of feasible region
- Consumer Price Index = Σ(Price × Weight) / Σ(Weight) × 100
Timing Strategy for 3 hours Exam
- 1First 15 min: Read full paper — plan which optional questions to attempt
- 20–40 min: MCQs, VSA and SA-I (1 and 2-mark) — quick and formula-based
- 340–100 min: SA-II (3-mark) — show steps for each calculation
- 4100–150 min: Long answer (5-mark) — full working with formula, substitution, answer
- 5150–170 min: Case study questions — read carefully, apply correct formula
- 6Last 10 min: Recheck arithmetic in financial maths and index number questions
Common Mistakes — Avoid These Tomorrow
- ✕Forgetting to check both conditions (f'=0 AND sign of f'') for maxima/minima
- ✕Using wrong base year index formula — know all three (L, P, F) and when to use each
- ✕Not converting annual rate to monthly for EMI — divide by 12
- ✕Skipping feasibility check in LP — region must be non-negative
- ✕Mixing up population and sample standard deviation formulas
- ✕Not writing formula before substituting — loses formula marks
Must Attempt — Never Leave These Blank
- ✓All financial mathematics questions — formula-based, high marks, predictable
- ✓Linear programming — always one graph question, practise corner point method
- ✓Index numbers — at least one full numerical always appears
- ✓Case study questions — structured, read carefully and apply formula
Skip If Unsure (Return If Time Permits)
- →Complex probability distributions if not revised — focus on basic conditional probability first
Remember: Partial marks exist. Attempt and leave if stuck — come back if time allows. Never spend more than 8 minutes on a single 5-mark question.
Applied Mathematics is the most formula-friendly exam in Class 12. Every question has a clear method. Write the formula first, substitute carefully, and show all steps — marks are awarded for process, not just the final answer.
Night Before — Non-Academic Checklist
Pack your bag
Admit card, 2 pens, pencil, eraser, ruler, geometry box (if needed)
Sleep by 10 PM
Your brain consolidates memory during sleep. Late-night cramming hurts more than it helps
Stop studying at 9 PM
Whatever you don't know by tonight won't be learnt in an hour. Trust your preparation
Set two alarms
One to wake up, one as a backup. Arrive at the centre 30 minutes before the exam
More resources for Class 12 Applied Mathematics
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