Board : Andhra Pradesh Open School Society
Exam : Senior Secondary Mathematics
Document type : Model Question Paper
Website : apopenschool.org
Download Sample/ Model Question Papers :https://www.pdfquestion.in/uploads/6077-Intermediate%20Model%20Question%20Papers.pdf
Mathematics Model Question Paper :
MODEL QUESTION PAPER
Intermediate (APOSS) MATHEMATICS 311 (E)
Time : 3 hrs
Max. Marks: 100
Related : AP Open School Society Senior Secondary English Question Paper Model : www.pdfquestion.in/6075.html
Instructions :
1. All questions are Compulsory.
2. This question paper consists of two parts viz., A and B
3. All questions from Part A are to be attempted
4. Part-B has two options. Candidates are required to attempt questions from one option only.
(Part – A)
SECTION – 1
Each question carries 1 mark. (13 x 1 = 13 marks)
1. Find the modules of the Complex number Z = 3 + 5 L0
2. Write the transpose of the matrix
3. Write the formula for n C r
4. Find the slope of the line segment joining of the points A (6, 8) and B (4, 4).
5. Find the X – intercept of the given straight line 3x – 2y + 12.
6. Convert 2 3c p into degrees.
7. Write the maximum value of cos – .
8. Find 1 | 1| lim . x 1 x – x – + +
9. Find the derivations of x2 + 5x, with respect to x.
10. Find the local maximum or minimum of the functions y = x3 – 6×2 + 9x + 7.
11. Evaluate 2 21xdx x + –
12. Find the order and degree of the differential equation.
13. Define an ‘event’.
SECTION – 2
( Each question carries 2 marks)
14. Write the roots of the quadratic equation ax2 + bx + c =
15. Shade the region ………………. represented by the inequalities x > 0, y > 0
16. Evaluate (97)3 using binomial theorem.
17. Find the …………….. eccentricity of the ellipse 3×2 + 4y2 = 12.
18. Find the 12th term of the A.P. 2, 4, 6, ………..
19. Draw Venn diagram for A n B when B – A.
20. If f (x) = x2, g(x) = 3, write f g.
21. If x.sec2 x y = e , find . dy dx
22. Find/ 2 0 (Sin x Cos x)dx p
23. The age of 10 girls are given below. What is the range- 3, 5, 7, 8, 9, 10, 12, 14, 17,
SECTION – 3
(Each question carries 5 marks)
24. Find the inverse of the matrix 1 2 1 2 1 3 1 3 1
25. Find the sum of the sequence 2, 22, 222, ………….. n terms.
26. Find the equation of the tangent and normal to the curve y = x4 – 6×3 + 13x
27. Compute the standard deviation for the following data :
SECTION – 4
(Each question carries 8 marks)
28. Solve for x if 3 8 3 3 3 8 3 0 3 3 3 8 x x
29. Find the equation of the circle which passes through the points (1,0), (0,-6) and (3,4).
30. Prove that cos cos 2 cos cos4 1
31. If cos y = x . cos (a + y), then prove that cos 2( )
PART – B :
Optional – I :
32. Determine the sum of two vectors a = 3i + 2 j − 4k and b = i + j + 2k . (1 mark)
33. Find the magnitude of the vector a = i + j − k . (1 mark)
34. Find the equation of the plane passing through the points (−1, 2, 3) and 2, −3, 4) and perpendicular to the plane 3x + y – z + 5 = 0 (5 marks)
35. Write the equation of the sphere passing through the points (0, 0, 0), (1, 0, 0), (0, 1, 0) and (0, 0, 1). Find also its radius. (8 marks)
Optional – II :
32. Define ‘debenture’. ( 1 mark)
33. Write any one method of construction of Index numbers. (1 mark)
34. A person at the age of 25 years, takes an insurance policy of sum Rs. 50,000/- for 30 years term. Calculate premium for yearly payment, assuming the following details.
Tabular premium / 1000……….. Rs. 40.
Rebate for large sum assured….. Rs. 2 per 1000.
Rebate for yearly payment 3% ……………………. (5 marks)
35. Mr. Singh purchases 10 computers @ Rs. 17,500, per computer. On each computer he earns Rs. 2,000 and pays VAT @ 8%. What will be the total sale prize of these 10 computers ? Calculate the VAT amount he has to pay. (8 Marks)
Senior Secondary Home Science Model Question Paper :
1. Name the Vaccines given to infants below one year ?
2. What are the reasons for anemia among young girls ?
3. Define food preservation ? Give two examples of preserved fruit/vegetable products prepared at home level ?
4. What is mental retardation and mention its causes ?
5. Give reasons for Savings ?
6. Illustrate the ways to maintain your personal hygiene in your daily life ?
7. Draw and label different wash symbols given on garments ?
8. What are the activities you will do for monthly cleaning ?
9. Why do we cook food in our daily life ? Explain the need ?
10. Define a design a list out basics types of designs ?