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KARNATAKA ICSE SCHOOLS ASSOCIATION _______________________________________________________________________________________ PREPARATORY EXAMINATION (FEBRUARY 2021) (Two hours and a half) 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) If , prove that: = . (b) Solve the following inequation and graph the solution set on a number line. [3] [3] 2 3 < + 1 4 + 7, (c) Cards bearing number 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 are put in a box. A card is drawn at random from the box. Find the probability of getting a card which is: (i) An even number. (ii) A number divisible by 6. (iii) A number less than 30 and greater than 12. (iv) A perfect square. 1|Page [4]
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