## January 13, 2012

### SSC - 10th Half Yearly Maths paper 1 Model Questions

Following are model questions for S.S.C. Half Yearly Examinations for Mathematics subject Paper - I. This Mathematics Model Paper will be useful for the 10th class students to practice and get ready for the examinations conducted by SSC Board. Duration of the exam is 2-30 hours. Maximum marks are 50. There will be two parts. Part A carries 35 marks and Part B carries 15 marks. Following are model questions for Mathematics:

Part - A Model Questions:

1. Define conjunction. Write truth table.
2. Define Remainder Theorem and prove it.
3. The product of two numbers is 91 and their arithmetic mean is 10. Find the two numbers.
4. Define tautology and give example.
5. Write the set-builder form of A = {-3, -2, -1, 0, 1, 2, 3}
6. Define constant function.
7. Solve | 2x - 5 | = 7
8. 1, 1/3 , 1/9 , ... Find the sum to infinity of G.P.
9. Define objective function.
10. 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?
11. Find the sum of n terms of the series 0.5 + 0.55 + 0.555 + ... n terms

Part - B Model Questions:

1. Symbol of existential quantifier ....
2. 1 + 2 + 3 + .... + n = ....
3. If f(x) = 2x + 3, g(x) = x - 1, then gof(3) = ....
4. Product of the roots of x2 - 3x + 5 = 0 is ....
5. The solution set of constraints of an LPP is a convex set called the ....
6. A line divides the plane into ..... parts
7. 'n'th term of an A.P. is ....