CBSE sample paper1 class X Maths 2011

http://www.cbseguess.com/-------------------------------------------------------------------------------------------------------www.cbseguess.com Other Educational Portals www.icseguess.com | www.ignouguess.com | www.dulife.com | www.magicsense.com Sample Paper – 2011 Class – X Subject – Mathematics Time : 1.15 Hours Max. Marks : 30 1. Find the conditions so that the following system of equations has infinitely many solutions. (2a – 1) x – 3y = 5 and 3x + (b – 2) y = 3, find a and b. 2 2. A part of monthly hostel charges in a college is fixed and the remaining depend on the number of days one has taken food in the mess. When a student X, takes food for 25 days, he has to pay Rs. 1750 as hostel charges whereas a student Y, who takes food for 28 days, pays Rs. 1900 as hostel charges. Find the fixed charge and the cost of food per day. 3 3. Solve the following system of equations by the method of elimination (substitution). 3 (a + b) x + (a – b) y = a2 + b2 (a – b) x + (a + b) y = a2 + b2 4. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8. 3 5. Solve, 6 i. ii. 6. In fig., DEFG is a square and BAC = 90°. Prove that; 4 (i) ∆AGF~ ∆DBG (ii) ∆AGF ~ ∆EFC (ii) ∆DBG~∆ EFC (iv) DE2 = BD × EC http://www.cbseguess.com/-------------------------------------------------------------------------------------------------------www.cbseguess.com Other Educational Portals www.icseguess.com | www.ignouguess.com | www.dulife.com | www.magicsense.com 7. ABC is a triangle in which AB = AC and D is a point on AC such that 3 BC2 = AC × CD. Prove that BD = BC. 8. A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age graphically, if policies are given only to persons having age 18 years onwards but less than 60 year. 6 Age (in years) Number of policy holders Below 20 2 Below 25 6 Below 30 24 Below 35 45 Below 40 78 Below 45 89 Below 50 92 Below 55 98 Below 60 100 Paper Submiited By: A. K. Nagar 9990673332