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F.M 80 Tim e 2 1 2 Hrs HALF-YEARLY EXAMINATION 2018-2019 SUBJECT: MATHEMATICS CLASS- X Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper is the time allowed for writing the answers. Attempt all questions from Section A and any four questions from Section B. All working, including rough work, must be clearly shown and must be done on same sheet as rest of the answer. Omission of essential working will result in loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]. Mathematical tables are provided. SECTION A (40 Marks) Attempt all questions from this Section. Question1 a) Find the value of a if the division of ax3+9x2+4x-10 by (x-3) leaves a remainder 5. [3] b) Manoj opened a recurring deposit account in a bank and deposited `500 per month for 3 years. The bank paid him `20220 on maturity. Find the rate of interest paid by the bank. [3] c) Solve the following quadratic equation for x and give your answer correct to three significant figures: 2x2-4x-3=0 [4] Question 2 a) Solve the following inequation and represent the solution set on the number line. 2 x 2 <1+ , x R 3 3 3 b) If sum of 1st 7 terms of an A.P. is 49 and that of 1st 17 terms is 289, find sum of 1st n terms. [ 2 3 5 6 [4] c) Let Q= ] and R= [ 8 15 19 15 ] [3] [3] . Find the matrix P, if PQ=R Question 3 a) A game of numbers has cards numbered 10, 11, 12, 13, ., 49, 50. A card is drawn at random, find the probability that the number on the card is (i) A perfect square (ii) Has one of the digit as 3 (iii) A number divisible by 3 and 4. [3] 1
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