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ICSE Class X Board Exam 2015 : Mathematics

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Shivam singh
Delhi Public School (DPS), Newtown, Kolkata

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ICSE QUESTION PAPER Class X MATHS (2015) (Two and a half hours) 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 the same sheet as the 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. Question 1 (a) A shopkeeper bought an article for Rs. 3,450. He marks the price of the article 16% above the cost price. The rate of sales tax charged on the article is 10%. Find the: (i) marked price of the article. (ii) price paid by a customer who buys the article. (b) Solve the following inequation and write the solution set: 13x 5 < 15x + 4 < 7x + 12, x R Represent the solution on a real number line. (c) Without using trigonometric tables evaluate: sin65 cos32 sin28 .sec62 cosec230 cos25 sin58 [3] [3] [4] Question 2 3 x 9 16 , B , find x and y where A2 B. (a) If A 0 1 0 y [3] (b) The present population of a town is 2,00,000. The population is increased by 10% in the first year and 15% in the second year. Find the population of the town at the end of two years. [3]

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