CBSE Class 12 Applied Maths Sample Paper 2025: Download FREE PDF!

• CBSE Class 12 Maths Sample Paper 2024-25

• CBSE Class 12 Biology Sample Paper 2024-25
  

1. Sampling which provides for a known non-zero equal chance of selection is 

(A) Systematic sampling (B) Convenience sampling 

(C)Quota sampling (D) Purposive sampling

2. A player rolls one fair die. If the die shows an odd number, the player wins the value that appears on the die, else loses half the value that appears on it. The expected gain of the player is 

(A) − 𝟏/𝟐 (B) 𝟎 (C) 𝟏/𝟐 (D) 1

3. The original cost of a machine is ₹ 1200000 and the scrap value of the machine after a useful life of 3 years is ₹ 300000, then the book value of the machine at the end of 2 years is 

(A) ₹ 100000 (B) ₹ 250000 (C) ₹ 600000 (D) ₹ 800000 

4. In a large consignment of electric bulbs 5% of a batch of batteries are defective. A random sample of 80 is taken for inspection with replacement. Then the Variance of the number of defectives in the sample is 

(A) 18/5 (B) 19/5 (C) 4.555 (D) 8

5.  If it is currently 6: 00 pm in 12 hours clock then what will be the time after 375 hours? 

(A) 6 am (B) 6 pm (C) 9 am (D) 9 pm 

6. The component of a time series attached to long-term variations is termed as 

(A) Seasonal variations (B) Irregular variations (C) Secular trend variations (D) Cyclic variations

7. The present value of a sequence of payments of ₹ 800 made at the end of every 6 months and continuing forever. If money is worth 4% per annum compounded semi-annually, then the present value of the sequence is: 

(A) ₹ 20000 (B) ₹ 40000 (C) ₹ 60000 (D) ₹ 80000

8. (a) In what ratio water must be added in milk costing ₹ 60 per litre so that the resulting mixture would be worth ₹ 50 per litre?

OR

(b) A pump can fill a tank with water in 2 hours. Because of leakage, it took 7/3 hrs to fill the tank. How much time will it take for the leakage to drain all the water in the full tank?

9. In a 200 𝑚 race, A can give a start of 18 𝑚 to B and a start of 31 𝑚 to C. In a race of 350 𝑚, how much start can B give to C?

10. A boat takes thrice as long to go upstream to a point as to return downstream to the starting point. If the speed of the stream is 5𝑘𝑚/ℎ, find the speed of the boat in still water.

Sample Paper Link: CBSE Class 12 Applied Maths Sample Paper 2024-25

1. Systematic Sampling as it is a type of probability sampling while others are types of non-probability sampling. (When the selection of objects from the population is random, then objects of the population have an equal probability i.e., have a known non-zero equal chance of selection. In other words, in probability sampling, sample units are selected at random.) 

2. Expected Gain = ½ 

Annual depreciation 1200000- 3000000/3 = ₹ 300000 

∴ Book value of the asset at the end of 2 years = ₹( 1200000 − 2 300000 ) = ₹ 600000.

4. This is a binomial distribution with n= 80, p= 5%= 1/20. If X is the binomial random variable for the number of defectives then X is

B (80,1/20)

So, npq= 80x1/20x19/20=19/5

5. 375 hours (24x15=15 hours) = 375 (mod 24)=15. Therefore, it will be 9 am after 375 hours.

6. Secular trend variations are considered long-term variations, attributable to factors such as population change, technological progress and large–scale shifts in consumer tastes.

7. R = ₹ 800, i= 4/200= 0.02, p=R/i= 800/0.02= ₹40000.

Marking Scheme Link: CBSE Class 12 Applied Maths Marking Scheme 2024-25