Class 12 Applied MathematicsImportant Questions for Board Exams 2025-26
16
Total Questions
15
Long Answer
1
Short Answer
Numbers, Quantification and Numerical Applications
2 questionsTwo partners invest in ratio 3:5 for 4 months and 6 months respectively. Find their profit sharing ratio.
A boat travels 36 km upstream and returns in 8 hours. Speed of stream is 3 km/h. Find speed of boat.
Algebra
2 questionsFind the inverse of the matrix [[2,3],[1,4]] and use it to solve the system of equations.
Using Cramer's rule, solve: 2x + y = 5 and 3x − 2y = 4.
Calculus
2 questionsA company's cost function is C(x) = x³ − 6x² + 15x + 5. Find the marginal cost at x = 4 and determine whether cost is minimum or maximum.
Find dy/dx for y = x² · eˣ · log x.
Probability Distributions
2 questionsA coin is tossed 8 times. Find P(exactly 3 heads) using Binomial distribution.
For a binomial distribution with n = 10 and p = 0.4, find mean and variance.
Index Numbers and Time-Based Data
2 questionsCalculate Laspeyre's, Paasche's and Fisher's index numbers from the given price and quantity data.
Calculate 3-year moving averages for the given time series data and identify the trend.
Financial Mathematics
2 questionsFind the EMI for a loan of ₹5,00,000 at 12% per annum for 5 years.
A machine costing ₹2,00,000 depreciates at 20% per annum on reducing balance. Find its value after 3 years.
Linear Programming
2 questionsA manufacturer makes two products. Formulate and solve the given LPP graphically to maximise profit.
Identify the feasible region and find the maximum value of Z = 5x + 4y subject to given constraints.
Inferential Statistics
2 questionsA sample of 100 students has mean score 72 with SD 10. Construct a 95% confidence interval for the population mean.
Distinguish between census and sample survey. What are the advantages of sampling?
Frequently Asked Questions
Which are the most important questions in Class 12 Applied Mathematics for CBSE board exam?
All 16 questions listed here are selected based on CBSE board exam frequency and marks weightage. Prioritise long-answer (5-mark) questions first — 15 questions here — as they carry the most marks. Short-answer questions (1 here) are next. Together they cover the questions most likely to appear.
Is it enough to study only important questions for CBSE Class 12 Applied Mathematics?
Practising these 16 important questions gets you to 70–75% marks. For 85%+, also read chapter summaries and attempt at least one full sample paper under timed conditions. Use these important questions as your minimum baseline, not your ceiling.
How should I write answers in CBSE Class 12 Applied Mathematics board exam?
For 1-mark questions: one direct sentence — no elaboration needed. For 3-mark questions: 3 clearly numbered points, each 1–2 lines. For 5-mark questions: brief intro + 4–5 numbered points with subject-specific keywords + 1-line conclusion. CBSE examiners look for keywords in marking schemes — structure your answers around them.
How many questions come from each chapter in Class 12 Applied Mathematics CBSE board exam?
CBSE doesn't publish a fixed chapter-wise distribution, but chapters with more important questions listed here have historically appeared more frequently in board papers. Focus extra time on chapters with 5 or more questions — those chapters consistently carry high marks.