CBSE Class 12 Applied Mathematics 2026

Marks by chapter

Counted from the 38 questions listed below, as the 2026 papers print them. CBSE allocates marks per unit, not per chapter — this is what was observed, not an official CBSE weightage. Every year compared →

38 questions from 2026

• Q1The real x for which 2(2 x+3)-10<6(x-2) is:1 mk
• Q2The number of all possible matrices of order 3 × 2 with each entry 1 or 2 is:1 mk
• Q3If AB=A and BA=B, then (B^2+B) is equal to:1 mkasked 2×
• Q4The value of |1, 2, 3; 4, 5, 6; 7, 8, 9| is:1 mk
• Q5General solution of differential equation y log y dx-x dy=0 is:1 mk
• Q6If ∫_0^40 dx/(2 x+1)= log k, then the value of k is:1 mk
• Q7If x=t^2 and y=t^3, then (d^2 y)/(dx^2) is equal to:1 mk
• Q8The rate of change of the area of a circle with respect to its radius r (in cm^2 / s ), when r=6 cm, is:1 mk
• Q9Let X be a discrete random variable, then the variance of X is::1 mk
• Q10If ‘m’ is the mean of a Poisson distribution, then its variance is given by:1 mk
• Q11The total area under a standard normal curve is:1 mk
• Q12For the purpose of t-test of significance, if a random sample of size 34 is drawn from a normal population, then the…1 mk
• Q13The range of variable t of the t-distribution is:1 mk
• Q14The present value of a perpetuity of ₹ R payable at the end of each period, when the money is worth i per period is:1 mkasked 2×
• Q15Using flat rate method, the EMI to repay a loan of ₹ 20,000 in 2 1/2 years at an interest rate of 8% per annum is:1 mkasked 2×
• Q16If an investment of ₹ 10,000 becomes ₹ 60,000 in 4 years, then the Compound Annual Growth Rate (CAGR) is:1 mk
• Q17A machine costs ₹ 45,000 with an estimated useful life of 5 years and a scrap value of ₹ 10,000. The annual…1 mk
• Q18The maximum value of the function z=7 x+5 y, subject to the constraints x ≤ 3, y ≤ 2, x ≥ 0, y ≥ 0 is:1 mk
• Q19Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion…1 mk
• Q20Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion…1 mk
• Q21A man in a boat goes 12 km downstream and comes back to the starting point by rowing non-stop in a total time of 3…2 mk
• Q22Solve the following differential equation: dy/dx=(2-y)/(x+1) OR If ∫_a^b x^3 dx=0 and ∫_a^b x^2 dx=2/3, then find the…2 mk
• Q23For a Poisson distribution, if mean (m)=1, then find P(r=1). OR Find the mean and standard deviation of the Binomial…2 mk
• Q24Calculate 3-yearly moving averages for the following data:2 mk
• Q25A man takes a personal loan of ₹ 2,00,000 at an interest rate of 15% p.a. compounded monthly, to be repaid by equal…2 mk
• Q26(i) Apply addition modulo to positive integers 17 and 13 for modulo 30. (ii) Find subtraction modulo 8 for numbers 11…3 mk
• Q27Using Cramer’s rule, show that the following system of linear equations is consistent and hence solve it: 2 x-3 y+5…3 mk
• Q28Find the intervals in R for which the function f(x)=x^4-2 x^2 is increasing or decreasing. OR Find: ∫ (2 x+1)/(18-4…3 mk
• Q29A soap manufacturing company was distributing a particular brand of a soap through a large number of retail shops.…3 mk
• Q30A company XYZ Ltd. has issued a bond having a face value of ₹ 10,000 paying annual dividend at 8.5% p.a. The bond will…3 mk
• Q31Solve the following Linnear Programming Problem (LPP) graphically: Maximize z=3 x+5 y subject to the constraints: x+2 y…3 mk
• Q32Solve the following inequation: (2 x-1)/12-(x-11)/3<(3 x+1)/4, x ∈ R5 mk
• Q33Find the consumer’s surplus for the demand function p=25-x-x^2, where the prevailing market price p_0=19. OR Solve the…5 mk
• Q34Two cards are drawn at random and one by one with replacement from a well-shuffled pack of 52 playing cards. Find the…5 mk
• Q35Mr. Arya wants to know the amount he should pay for a gold mine expected to yield an annual return of ₹ 4 lakh for the…5 mk
• Q36Three schools A, B and C organised a mela for collecting funds for helping the rehabilitation of flood victims. They…4 mk
• Q37When observed over a long period of time, a time series data can predict trends that can forecast increase or decrease…4 mk
• Q38A man has ₹ 15,000 for purchasing rice and wheat. A bag of rice and a bag of wheat cost ₹ 1,800 and ₹ 1,200…4 mk