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Sir I am a student of Andhra Pradesh SSC and here I am searching for the model papers of Half Yearly Examinations Maths paper I so please can you give me the model papers and also provide me previous years papers of Maths paper II ?

We are uploading the previous years papers of AP S.S.C Mathematics paper. You can download the papers from here after doing registration.

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We are providing you the previous years papers of AP S.S.C Mathematics paper. You can see the papers from here after doing registration.

Here is the model paper of AP S.S.C. Half Yearly Examinations Mathematics (Paper I)

PART A (Time: 2 Hours Max. Marks: 35)

SECTION I

Note: 1) Answer any 5 questions minimum 2 from each group. 2) Each question carries 2 marks 5 x 2 = 10

Group A (Statements Sets, Functions, Polynomials)

1. Define conjunction. Write truth table.

2. If A B then show that A ∩ B = A

3. Define Remainder Theorem and prove it.

Group B (Linear programming, Realnumbers, Progressions)

5. Draw the graph of 2x + 3y ≤ 6

6. The product of two numbers is 91 and their arithmetic mean is 10. Find the two numbers.

SECTION II. Note: Answer any 4. Each question carries 1 mark.

9. Define tautology and give example.

10. Write the set-builder form of A = {-3, -2, -1, 0, 1, 2, 3}

11. Define constant function.

12. Define objective function.

SECTION III

Note: 1) Answer any FOUR. Choose two from each group. 2) Each question carries 4 marks. 4 x 4 = 16

Group A

16. Let f, g, h be real functions defned as follows f(x) = x + 2, g(x) = x and h(x) = x2. Find ho (gof) & (hog)of and what do you find.

17. Let f be given by f(x) = x + 2, and f has the domain {x: 2 ≤ x ≤ 5}. find f -1 and its domain and range.

Group B

19. A certain manufacturer has 75 Kg of cashew and 120 kg of groundnuts. These are to be mixed in 1 kg packages as follows: A low grade mixture 250 grams of cashew and 750 grams of ground nuts, where as in a high grade mixture 500

gms of cashew and 500 gms of peanuts. If the profit on the low grade mixture is Rs. 2 per package and that of high grade mixture is Rs. 3 per package. How many packages of each mixture be made for a maximum profit?

21. Find the sum of n terms of the series 0.5 + 0.55 + 0.555 + n terms

22. The A.M., G.M., & H.M. of two numbers are A, G, H respectively. Show that A ≥ G ≥ H

S.S.C. Half Yearly Examinations (Mathematics Paper I)

PART B 15 Marks

Note: 1) Answer ALL the questions. 2) Each question carries 1/2 mark.

II. Fill in the blanks.

11. Symbol of existential quantifier .

13. 1 + 2 + 3 + . + n = .

14. If f(x) = 2x + 3, g(x) = x 1, then gof(3) = .

15. Product of the roots of x2 3x + 5 = 0 is .

16. If (x 2) is a factor of x2 3x + k then k = .

17. 161.25 = .

18. The solution set of constraints of an LPP is a convex set called the .

19. A line divides the plane into .. parts

20. nth term of an A.P. is .

Here is the model paper of AP S.S.C. Half Yearly Examinations Mathematics (Paper I)

PART A (Time: 2 Hours Max. Marks: 35)

SECTION I

Note: 1) Answer any 5 questions minimum 2 from each group. 2) Each question carries 2 marks 5 x 2 = 10

Group A (Statements Sets, Functions, Polynomials)

1. Define conjunction. Write truth table.

2. If A B then show that A ∩ B = A

3. Define Remainder Theorem and prove it.

Group B (Linear programming, Realnumbers, Progressions)

5. Draw the graph of 2x + 3y ≤ 6

6. The product of two numbers is 91 and their arithmetic mean is 10. Find the two numbers.

SECTION II. Note: Answer any 4. Each question carries 1 mark.

9. Define tautology and give example.

10. Write the set-builder form of A = {-3, -2, -1, 0, 1, 2, 3}

11. Define constant function.

12. Define objective function.

SECTION III

Note: 1) Answer any FOUR. Choose two from each group. 2) Each question carries 4 marks. 4 x 4 = 16

Group A

16. Let f, g, h be real functions defned as follows f(x) = x + 2, g(x) = x and h(x) = x2. Find ho (gof) & (hog)of and what do you find.

17. Let f be given by f(x) = x + 2, and f has the domain {x: 2 ≤ x ≤ 5}. find f -1 and its domain and range.

Group B

19. A certain manufacturer has 75 Kg of cashew and 120 kg of groundnuts. These are to be mixed in 1 kg packages as follows: A low grade mixture 250 grams of cashew and 750 grams of ground nuts, where as in a high grade mixture 500

gms of cashew and 500 gms of peanuts. If the profit on the low grade mixture is Rs. 2 per package and that of high grade mixture is Rs. 3 per package. How many packages of each mixture be made for a maximum profit?

21. Find the sum of n terms of the series 0.5 + 0.55 + 0.555 + n terms

22. The A.M., G.M., & H.M. of two numbers are A, G, H respectively. Show that A ≥ G ≥ H

S.S.C. Half Yearly Examinations (Mathematics Paper I)

PART B 15 Marks

Note: 1) Answer ALL the questions. 2) Each question carries 1/2 mark.

II. Fill in the blanks.

11. Symbol of existential quantifier .

13. 1 + 2 + 3 + . + n = .

14. If f(x) = 2x + 3, g(x) = x 1, then gof(3) = .

15. Product of the roots of x2 3x + 5 = 0 is .

16. If (x 2) is a factor of x2 3x + k then k = .

17. 161.25 = .

18. The solution set of constraints of an LPP is a convex set called the .

19. A line divides the plane into .. parts

20. nth term of an A.P. is .