CBSE Class 12 Applied Mathematics 2025

Marks by chapter

Counted from the 38 questions listed below, as the 2025 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 2025

• Q1-41 9 is1 mk
• Q2If a>b and c<0, then which of the following is true?1 mk
• Q3If A and B are symmetric matrices of the same order, then (AB^′-BA^′) is a1 mk
• Q4The inverse of matrix A= [4, -1; 2, 1] is1 mk
• Q5If |2 x, 5; 4, x| = |3, 5; 4, 6|, then the value of x is1 mk
• Q6The slope of the normal to the curve y=(x-3)/(x-4) at x=6 is1 mk
• Q7The rate of change of population P(t) with respect to time (t), where α, β are the constant birth and death rates,…1 mk
• Q8A pair of dice is thrown two times. If X represents the number of doublets obtained, then the expectation of X is1 mk
• Q9The mean of t-distribution is1 mk
• Q10The variations which occur due to change in climate, festivals or weather conditions are known as1 mk
• Q11In a LPP, the maximum value of z=3 x+4 y subject to the constraints x+y ≤ 40, x+2 y ≤ 60, x, y ≥ 0 is1 mk
• Q12The present value of a sequence of payments of ₹ 100 made at the end of every year and continuing forever, if the money…1 mk
• Q13The demand function of a monopolist is given by p=30+5 x-3 x^2, where x is the number of units demanded and p is the…1 mk
• Q14If the cost function and revenue function of x items are respectively given as C(x)=100+0.015 x^2, R(x)=3 x, then the…1 mk
• Q15If a random variable X has the probability distribution P(X=x)= {k, if x=0; 2 k, if x=1 or 2; 0, otherwise,} then the…1 mk
• Q16The test statistic t for testing the significance of differences between the means of two independent samples is given…1 mk
• Q17The effective rate of interest equivalent to a nominal rate of 4% compounded semi-annually, is1 mk
• Q18The CAGR of an investment, whose starting value is ₹ 5,000 and it grows to ₹ 25,000 in 4 years, is: [Given…1 mk
• Q19Questions number 19 and 20 are Assertion – Reason based questions of 1 mark each. Two statements are given – one…1 mk
• Q20Questions number 19 and 20 are Assertion – Reason based questions of 1 mark each. Two statements are given – one…1 mk
• Q21The cost of Type I sugar is ₹ 25 per kg and Type II sugar is ₹ 35 per kg. If both Type I sugar and Type II sugar are…2 mk
• Q22A boat goes 3.5 km upstream and then returns. Total time taken is 1 hour and 12 minutes. If the speed of the current is…2 mk
• Q23A runs 3/2 times as fast as B. If A gives B a start of 40 m, how far must the winning post from the starting point be,…2 mk
• Q24Given A= [2, 0, 1; 3, 4, 5; 0, 2, 3] and B= [1, 1, -5; -5, 1, -5; 1, -2, 4], find BA.2 mk
• Q25If a fair coin is tossed 6 times, find the probability of getting atleast 4 heads. OR Given that mean of a normal…2 mk
• Q26Find the units digit in 7^295.3 mk
• Q27Two numbers are selected at random (without replacement) from first six positive integers. Let X denotes the smaller of…3 mk
• Q28If the mean and variance of a binomial distribution are 4/3 and 8/9 respectively, then find P(x=1). OR The mortality…3 mk
• Q29There are two types of fertilizers F_1 and F_2. F_1 consists of 10% nitrogen and 6% phosphoric acid. F_2 consists of 5%…3 mk
• Q30A machinist is making engine parts with axle diameter of 0.7 cm. A random sample of 10 parts shows mean diameter 0.742…3 mk
• Q31Calculate EMI under Flat-Rate System for a loan of ₹ 5,00,000 with 7.5% annual interest rate for 5 years.3 mk
• Q32If A= [2, -3, 5; 3, 2, -4; 1, 1, -2], find A^-1 and hence solve the following system of linear equations: 2 x-3 y+5…5 mk
• Q33If the supply function is p=4-5 x+x^2, then find the producer's surplus when price is 18.5 mk
• Q34Compute the seasonal indices by 4-year moving averages from the given data of production of paper (in thousand tons):…5 mk
• Q35A machine costs ₹ 1,00,000 and its effective life is estimated to be 12 years. A sinking fund is created for replacing…5 mk
• Q36A man has an expensive square-shaped piece of golden board of side 36 cm. He wants to turn it into a box without top by…4 mk
• Q37There are two factories located one at P and the other at Q. From these locations, a certain commodity is to be…4 mk
• Q38Ramesh borrowed a home loan amount of ₹ 7,00,000 from a bank at an interest of 12% per annum for 30 years, to be paid…4 mk