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THE FUTURE FOUNDATION SCHOOL PRE BOARD EXAMINATION SESSION 2019 2020 MATHEMATICS (Two hours and a half) (Maximum Marks : 80) CLASS X DATE 9.12.2019 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 a ny 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) Solve the following inequation and write down the solution set : 2x + 1 x 1 x +2 1 , x R 3 Represent the solution set on a number line. [3] (b) A man buys 100 shares in a company at Rs 150 each. The company issues one bonus share for every two shares held by him. When the price of the shares fell to Rs 120 he sold the shares. Find the percentage gain. [3] (c) Find the Mode and Median of the following set of numbers : 32, 20, 40, 21, 32, 21, 20, 32, 25, 23, 25, 25, 30, 23, 25, 29, 25, 40. [4] Question 2. (a) Using factor Theorem show that g(x)=3x + 2a -y is a factor of f(x)= 9x2 4a2 + 4ay y 2 [3] (b) 2 Prove that 1 1cos = sin + sin [3] (c) Which terms of the A.P. 121, 117, 113 is the first negative term? [4] This paper consists of 5 printed pages and 1 blank page. 2019 Turn over
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