Check CBSE Sample Paper for Applied Mathematics Class 12th below. The sample paper and the marking scheme can be downloaded from the links shared below. CBSE has released the sample paper for the students to be better prepared for their exams. Check the question paper pattern and answers along with the marking scheme below.
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CBSE Class 12 Term 2 Sample Paper 2022: Applied Mathematics Marking Scheme & Paper Pattern
Candidates can note that the paper would have three sections consisting of various internal choices questions. Section A would have 2 marks questions, section B would have 3 marks questions and Section C would be having 4 questions. The paper would be conducted for two hours and would be of 40 marks.
CBSE Class 12 Term 2 Sample Paper 2022: Applied Mathematics
1. The marginal revenue function for a commodity is given by 𝑀𝑅 = 9 + 2𝑥 − 6𝑥2
Find the demand function.
OR
The marginal cost of producing 𝑥 pairs of tennis shoes is given by
𝑀𝐶 = 50 + 300/ x+1
If the fixed cost is ₹2000, find the total cost function
Ans.
2. Find the present value of a perpetuity of ₹600 at end of each quarter if money is worth 8% compounded quarterly.
Ans.
3. What effective rate is equivalent to a nominal rate of 8% per annum compounded quarterly?
OR
Find the present value of an annuity of ₹1000 payable at the end of each year for 5 years if money is worth 6% compounded annually.
[𝐺𝑖𝑣𝑒𝑛 (1.06) to the power of -5 = 0.7473]
Ans.
4. Sampling distribution of the sample means 𝑋 is formed from a population with mean weight 𝜇 = 60𝑘𝑔 and standard deviation 𝜎 = 9𝑘𝑔. What is the expected value and standard deviation of 𝑋, if the sample size is 36?
Ans. E(X) = 60𝑘g
5. Find the trend values using 3 yearly moving averages for the loans sanctioned to farmers by a particular branch of a bank in a village.
Year |
2016 |
2017 |
2018 |
2019 |
2020 |
2021 |
Amount (in ₹ lakh) |
25 |
30 |
32 |
40 |
45 |
50 |
Ans.
For many questions like this click on the links shared below:
CBSE Sample Paper Class 12th Term 2: Download PDF Copy of Applied Mathematics paper
CBSE Sample Paper Class 12th Term 2: Download PDF Copy of Marking Scheme of Applied Mathematics
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