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VIBGYOR HIGH Second Preliminary Examination 2020-2021 MATHEMATICS Grade: X Max. Marks : 80 Date : 04/01/2021 Time Allowed: 2hrs 30 min. INSTRUCTIONS: Answers to this paper must be written on the paper 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 question from Section B The intended marks for the questions or parts of questions are given alongside the questions. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks. Geometrical figures to be constructed wherever applicable. For geometry, figures are to be copied to the answer script. _______________________________________________________________________ SECTION A (40 marks) (Attempt all questions) Q.1 (a) If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers. (b) [3] Find the value of k for which the equation x 2 - 2kx + 7k -12 = 0 has equal roots. (c) [3] Two dice are thrown simultaneously. Find the probability of getting : (i) 11 as the sum of the two numbers that turn up. (ii) a doublet of even numbers. (iii) a multiple of 3 as the sum of the two numbers that turn up. (iv) a total of at least 10. [4] 1
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