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o 5. = = SUBJECT: MATHEMATICS MAX. MARKS : 80 DURATION : 3 HRS CLASS : X General Instruction: 1. This Question Paper has 5 Sections A-E. 2. Section A has 20 MCQs carrying | mark each. 3. Section B has 5 questions carrying 02 marks each. 4, Section C has 6 questions carrying 03 marks each. 5. Section D has 4 questions carrying 05 marks each. 6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the values of 1, | and 2 marks each respectively. 7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of 2 marks has been provided. An internal choice has been provided in the 2marks questions of Section E 8. Draw neat figures wherever required. Take x =22/7 wherever required if not stated. SECTION—A Questions 1 to 20 carry 1 mark cach. ABCD is a trapezium with AD || BC and AD = 4cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB =1/2, then BC = (a) 6cm (b) 7cem (c) 8cm (d) 9cm 2. In ABC right angled at B, sin A= x , then the value of cos C is ............. q 24 7 24 ae bye a j= re Oe len (d) Fi 3. Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is (a) 3:4 (b) 4:3 (0) 9:16 (d) 16:9 4. A card is selected at random from a well shuffled deck of 52 cards. The probability of its being a face card is (a) 3/26 - - (b) 3/13 (©) 2/13 (a) 1/2 5. If the radii of two circles are in the ratio of 4 : 3, then their areas are in the ratio of : (a) 4:3 7 (b) 8:3 (c) 16:9 (d)9: 16 6. If one zero of the quadratic polynomial x? + 3x + kis 2, then the value of k is (a) 10 (b)-10 (c) 5 (d)-5 7. If two positive integers p and q can be expressed as p = ab? and q = a*b; a, b being prime numbers, then LCM (p, q) is ve (b) a2b? (c) a°b? (d) ab? 8. ‘When 2120 is expressed as the product of its prime factors we get (d) 5? x 7x 33 (a) 2 x 5° x 53 (b) 23x 5x 53 ()5x7P x31 / / / ie In the AABC, D and E are points on side AB and AC respectively such that DE || BC. oo Page - 1- 
