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ICSE Prelims 2016 : Mathematics (Narbheram Hansraj English School (NHES), Jamshedpur)

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NARBHERAM HANSRAJ ENGLISH SCHOOL BISTUPUR, JAMSHEDPUR FIRST ASSESSMENT SECOND UNIT TEST 2015-16 MATHEMATICS STD. 10(ABCD) F.M.80 Time 2 Hrs SECTION A (Compulsory) QI. a) b) c) d) e) e) f) g) h) Daily wages No of workers i) Prove that ( Cosec A Sin A ) (Sec A - Cos A) Sec2A = TanA [3] 5 y y Simplify :- 10 1 = =3 =5 1 Y R 3 3 3 2 graph the solution set on the number line ? [3] ...2 0 ...0 1 Given A = B = [4] Calculate = 3, 1 = 2, 3 i) 3A -2 B ii) A2 BA The value of a flat worth Rs.50,00,00 is depreciating at the rate of 8% p.a in how many years will its value be reduced to Rs.389344 [3] Using Quadratic formula solve : [3] 1 2 4 = = x =1 x = 2 x = 4 A manufacturer sold a fridge to a wholesaler for Rs.14,000. The wholesaler sold it to a trader at a profit of Rs.2500. If the trader sold it to the customer at a profit of Rs.3000. Find [4] i) Total VAT collected by the State Govt. at the rate of 6%. ii) Amount paid by the customer for the fridge. A sum of money lent out at C.I at a certain rate per annum doubles itself in 5 years. Find in how many years will the money become eight times of itself at the same rate of interest p.a. [3] Water flows through a circular pipe of diameter 2cm at the rate of 6m/sec into a cylindrical tank of radius 60cm. By how much will the level of water rice in 30min ? [3] Calculate the mean daily wage of a worker from the following table. 40-45 2 45-50 3 50-55 7 55-60 12 [4] 60-65 6 Manish deposits Rs.2000 per month in a recurring deposit account for 1 years at 8% Per annum. Find the amount he will receive at the time of maturity. [3] j) Without using tables find the value of [3] Co sec2 67 0 = tan 2 230 tan 2 37 0 tan 2 53 = = Sec 2 200 = Cot 2 700 Sec 2 37 0 Sec 2 53 k) Mr. Mishra opened a saving s Bank Account at S.B.I on 1st April, 2007. The entries of one year as shown in his pass book are given below :[4] Date Particulars Withdrawals Deposits Balance (in Rs.) (in Rs.) (in Rs.) 1st April,2007 By cash 8,550.00 8,550.00 12th April,2007 To self 1,200.00 7,350 24th April,2007 By cash 4,550.00 11,900.00 8th July,2007 By cheque 1,500.00 13,400.00 th 10 Sept.,2007 By cheque 3,500.00 16,900.00 17th Sept.,2007 To cheque 2,500.00 14,400.00 th 11 Oct.,2007 By cash 800.00 15,200.00 6th Jan.,2007 To self 2,000.00 13,200.00 th 9 March,2007 By cheque 950.00 14,150.00

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