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ICSE First Semester Exam 2016-2017 : Mathematics (Children's Academy, Bachani Nagar, Malad East, Mumbai)

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Gitarth Jain
Children's Academy, Ashok Nagar, Kandivali East, Mumbai
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o Bachani Nagar Malad (E) o Ashok Nagar Kandivli (E) o Thakur Complex Kandivli (E) FIRST SEMESTER EXAMINATION 2016-2017 Grade : X Date : 10/10/2016 Subject : Mathematics ICSE Marks: 80 Time : 2 hr 30 mins. 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. This paper consists of 4 printed pages. 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. All figures in geometry have to be copied on the answer sheet. The intended marks for questions or parts of questions are given in brackets [ ] Section A Attempt all questions from this Section Question 1 (a) If ( x + 1 ) is a factor of (2x + 1 )3 + ( 2k 1 )3, find `k`. (b) Find the area and perimeter of the given figure, if AB = 10, BC = 10, DC = 10, DP = 6. [3] B A P [4] C D (c) Calculate the ratio in which the line joining A (6, 5) and B (4,-3) is divided by the line y = 2 [3] Question 2 (a) Without using trigonometrical tables, evaluate: tan233 cosec257 + sin44 . sec 46 - 2 sin 45 + tan260. (b) [3] Following table gives the marks scored by the students in an examination: Calculate the mean marks. [3] Marks 0 9 10 19 20 29 30 39 40 49 50 59 No. of students 4 6 12 4 8 6 Math/Grade X/ICSE/First Semester Examination/ Page 1 of 5 CAA/RS /2016-17

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