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SMT. SULOCHANADEVI SINGHANIA SCHOOL, THANE Class Subject Exam Date Marks Time Total No. of Printed sides 10 Mathematics Reprelim 09.01.2017 80 2 hrs. 3 General Instructions: 1. Attempt all questions from section-A. 2. Attempt any 4 complete questions from section B 3. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. 4. Omission of essential working will result in loss of marks. 5. Mathematical tables are provided. SECTION A (40 Marks) Attempt all questions from this section Question 1 A) If AB = BA find the values of x and y where A = [ ] 5 2 7 3 and B = [ ] 3 x y 5 . [3] B) Solve the following quadratic equation using the formula and give your answer correct to two significant figures: 3 x2 10 x + 4=0 [3] C) Show that the progression 4 , 5/2 , 1 , 1 /2 , 2 , is an A.P. Find its ii) common difference iii) 25th term. i) first term [4] Question 2 A) Priya deposits a certain sum of money each month in a recurring deposit account of a bank. If the rate of interest is 9% per annum and Priya gets Rs. 23139 from the bank after 1 years , find the value of his monthly instalment. [3] B) A hemisphere is surmounted by a cone of slant height 16cm. The surface area of the solid is 660 cm2. Find the radius of the base of the cone. [3] C) Use the factor theorem to factorise completely the polynomial 6x 3 + 11x2 3x 2 [4] Question 3 A) A manufacturer produces an article for Rs. 5000 and sells it to a wholesaler. The wholesaler sells it to a retailer. VAT charged is 10% and profit made at each stage is Rs 1000. Calculate i) the total VAT collected by the Government on the sale of the article. ii) The price at which the article can be bought by the customer. [3] B) Solve the following inequality and represent the solution set on the number line: 2 x 1 2 1 , x N . 3 2 6 [3] C) In the adjoining figure O is the centre of the circle, in which ORS = 58 and Reflex QOR = 250 . Find QSR , OQR and QPS . [4] Question 4 A) The mean of 8, 10, x+1, x+3, x+4 and 19 is 13. Find i) the value of x ii) the median. 3 B) Prove that : sin A 2 sin A 2 cos 3 A cos A = tan A. [3] 1 [3]
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