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First Preliminary Examination 2013 2014 Grade: X Date: 2/12/13 Mathematics Time: 2 Hours Max. Marks: 80 Answer 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 from Section B. 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. The intended marks for questions or parts of questions are given in the brackets [ ]. _________________________________________________________________ SECTION A [40 Marks] (Attempt all questions from this Section) Question 1 (a) A man won a lottery of Rs 50000. 30% was paid as income-tax and the balance deposited in a bank 1 paying at 10% p.a., the interest compounded biannually. What sum will he get after 1 years? 2 [3] (b) Without using tables evaluate: 2 2 2 cot 58 tan 32 cosec 58 3 3 tan 77 [3] 5 tan 13 3 tan 37 tan 45 tan 53 (c) Draw a histogram and a frequency polygon on the same graph and estimate the mode for the following frequency distribution: 80 - 90 Class Interval 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 3 Frequency 2 8 10 5 4 Question 2 D C (a) In the given figure, O is the centre of the circle. If chords AC and BD intersect at right angles at E and OAB = 35 , calculate the measure of EBCE . [3] O A Page 1 of 5 35 B [4]
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