CBSE Class 12 Applied Mathematics 2024

Marks by chapter

Counted from the 36 questions listed below, as the 2024 papers print them. CBSE allocates marks per unit, not per chapter — this is what was observed, not an official CBSE weightage. Every year compared →

36 questions from 2024

• Q1In a 1 km race, player P beats player Q by 18 metres or 9 seconds. What is P’s time to complete the race?1 mk
• Q2If x>y and z<0, then:1 mk
• Q4The value of Δ= |42, 2, 5; 79, 7, 9; 29, 5, 3| is:1 mk
• Q5If y=e^-2 x, then (d^3 y)/(dx^3) is equal to:1 mk
• Q6The function f(x)=x^2-x+1 is:1 mk
• Q7The order and the degree of the differential equation y dx+x log (y/x) dy-2 x dy=0 are respectively:1 mk
• Q8A fair coin is tossed twice and outcomes are noted. If the random variable X represents the number of heads that…1 mk
• Q9What time will it be after 1275 hours, if the present time is 9:00 p.m.?1 mk
• Q10If for a Poisson variate X, P(X=k)=P(X=k+1), then the variance of X is:1 mk
• Q11If the calculated value of |t|<t_v(α) (critical value of t), then the null hypothesis:1 mkasked 2×
• Q12For testing the significance of difference between the means of two independent samples, the degree of freedom (v) is…1 mk
• Q13For the given values 23, 32, 40, 47, 58, 33, 42; the 5-yearly moving averages are:1 mk
• Q15A mobile phone costs ₹ 12,000 and its scrap value after a useful life of 3 years is ₹ 3,000. Then, the book value of…1 mk
• Q16What sum of money should be deposited at the end of every 6 months to accumulate ₹ 50,000 in 8 years, if money is worth…1 mk
• Q17The graph of the inequation 2 x+3 y>6 is the:1 mk
• Q18In an LPP, if the objective function Z=ax+by has same maximum value on two corner points of the feasible region, then…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
• Q21If A= [1, 0; -1, 7], find the value of k such that A^2-8 A+kI=0. OR If [x-y, 2 x+z; 2 x-y, 3 z+w] = [-1, 5; 0, 13],…2 mk
• Q22Using Cramer's rule, solve the following system of equations: 2 x_1+3 x_2=5 11 x_1-5 x_2=62 mk
• Q23Find the solution to the following linear programming problem (if it exists) graphically: Maximize Z=x+y subject to the…2 mk
• Q24At 6% p.a., compounded quarterly, find the present value of a perpetuity of ₹ 600 payable at the end of each quarter.2 mk
• Q25Assume an investment's starting value is ₹ 20,000 and it grows to ₹ 50,000 in 3 years. Calculate CAGR (Compounded…2 mk
• Q26A container has 50 litres of juice in it. 5 litres of juice is taken out and is replaced by 5 litres of water. This…3 mk
• Q27Evaluate: ∫_0^2 x^2 dx and hence show the region on the graph whose area it represents. OR Evaluate: ∫_0^1…3 mk
• Q28Find the differential equation of all circles in the first quadrant which touches both the coordinate axes.3 mk
• Q29Given that the scores of a set of candidates on an IQ test are normally distributed. If the IQ test has a mean of 100…3 mk
• Q30The mean weekly sales of a 4-wheeler was 50 units per agency in 20 agencies. After an advertising campaign, the mean…3 mk
• Q31A recent accounting graduate opened a new business and installed a computer system that costs ₹ 45,200. The computer…3 mk
• Q32A cistern has three pipes A, B and C. Pipes A and B are inlet pipes whereas C is an outlet pipe. Pipes A and B can fill…5 mk
• Q33Find all the points of local maxima and local minima of the function: f(x)=-3/4 x^4-8 x^3-45/2 x^2+105. OR Find the…5 mk
• Q34Let X denote the number of hours a Class 12 student studies during a randomly selected school day. The probability that…5 mk
• Q35Amrita buys a car for which she makes a down payment of ₹ 2,50,000 and the balance is to be paid in 2 years by monthly…5 mk
• Q36On her birthday, Prema decides to donate some money to children of an orphanage home. If there are 8 children less,…4 mk
• Q37In number theory, it is often important to find factors of an integer N. The number N has two trivial factors, namely 1…4 mk
• Q38When observed over a long period of time, a time series data can predict trends that can forecast increase or decrease…4 mk