UP Board Class 11th Model Paper 2024 Agriculture Maths and Statistics

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Model Question Paper 2021-22
Class - 11
Subject – Agriculture Maths and Statistics
MM– 50
Time – 3 hrs 15 min
Note: First 15 minutes are allotted for the candidates to read the question paper.

Instructions :

1. There are 17 questions in all in this question paper.

2. All questions are compulsory.

3. Marks allotted to questions are given against them.

4. Give complete solution except question number 1.

5. Start from question number 1 and solve up to the last.

6. Do all the calculation and rough work in your answer sheet.

1. Solve all sections.

(a) Simplify 27 . 1

(b) Find the 10th term of the series 5, 9, 13 ………………… 1

(c) If = , = , then find the value of tan ( + ) 1

(d) If ∝ and ∝ then prove that ∝ . 1

(e) Prove that 2θ =

2. If 3 =3 = √27, then find the value of and . 1

2

3. If , , are in A.P then prove that ( − ) = 4( − ) 1

4. Simplify + − 1

If the third term of a geometric series is 4 and seventh term is 64, then
5. 1
find the series

( )
6. Prove that = + 1
( )

7. Find the distance of the point ( , ) from origin. 2

8. Find the area of triangle formed by straight lines, 5 + 4 = 20,
2
= 0, =0

9. If + + = 90° thenprovethat + + =1 2

10. Prove that 2 2

11. Solve the equation 2 +2 = 48. 2

12. Find the volume of the largest Cone that can be cut from a Cube whose
4
each edge is 18cm long.

13. Prove that 20°. 40°. 60°. 80° = 4

14. The height of a Cone is 28cm and radius of the base is 21cm. Find the
4
volume and curved surface.

15. The marks obtained by some students are as follows. Find the mean of
the following:
Marks 6
0-10 10-20 20-30 30-40 40-50
obtained
Number of
3 13 18 12 4
Students

16. Find the mode from the following table:
Class
20-30 30-40 40-50 50-60 60-70 70-80 80-90
interval 6
Frequency 04 10 16 30 45 20 10

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17. Find the median of the following data: 6
Marks Number of students

0-10 2

10-20 6

20-30 10

30-40 17

40-50 30

50-60 14

60-70 10

70-80 6

80-90 4

90-100 1