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SMT. SULOCHANADEVI SINGHANIA SCHOOL, THANE Class Subject Exam Date Marks Time 10 Mathematics Prelim 12.01.2018 80 2 Hrs. Total No. of printed sides 4 Set A 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) Given A = [ ] find the value of m if A2 = 6A mI where I is an identity matrix of order 2 x 2. [4] B) Solve the following quadratic equation and give your answer correct to 2 significant figures: [3] C) Prove the following identity : [3] Question 2 A) A shopkeeper purchased an article for Rs.7500 and sold it to a customer. If the rate of VAT charged is 10% and the shopkeeper paid a VAT of Rs.150 to the Government. Find i) The price paid by the customer inclusive of tax ii) The profit % made by the shopkeeper. [3] B) Ms. Rita deposits Rs.500 every month in a cumulative deposit account and receives Rs.6455 at the end of one year. Find the rate of interest per annum. [3] C) If is a factor of , find the values of a and b.[4] Question 3 A) Solve the following linear inequation and represent the solution on the number line [3] B) The following numbers are arranged in ascending order. If their mean and median are the same find the value of p and the mean. 37, 41, p +2, p+8, 51, 55. [3] 2 C) The sum of n terms of an AP is 3n + 2n. Find the first term, common difference and the tenth term of the AP. [4]
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