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ICSE Class IX Sample / Model Paper 2022 : Mathematics

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Maths Practice 1) Seven times a two digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3. Find the number. [36] 2) The sum of numerator and denominator of a fraction is 8. If 3 is added to both numerator and denominator ,the fraction becomes . Find the fraction. [3/5] 3) Five years ago, a man was seven times as old as his son, while 5 years hence , the man will be three times as old as his son, find their present ages. [40, 10] 4) Solve : 103x + 51y = 617 ; 97x + 49y = 583 5) Factorize: (i) (64a6 b6) (ii) 27(x+y)3 + 8(2x-y)3 [x=5,y=2] [(2a +b)(2a-b)(4a2 -2ab + b2)(4a2 + 2ab +b2)] (7x +y)(13x2 + 19y2 -4xy) 6) If a2- 3a + 1 = 0 ; find the value of a+ 1 ; a2 + 1 a a2 7) If x + 1 = 4 ; find x2 +1 ; x4 + 1 x x2 x4 [3, 7] [14, 194] 8) Ravi invested Rs 12800 for three years at the rate of 10% p.a. compound interest. Find (i) The sum due at the end of 1st year (ii) The interest he earns in second year (iii) The total amount due to him at end of third year. [14080, 15488, 17036.80] 9) The compound interest on a certain sum of money at 5% p.a. for 2 years is Rs 820. Find the simple interest on the same sum for 3 years at 6% p.a. [Rs 1440] 10) Simplify: 5n+3 - 6 x 5n+1 9 x 5n 22 x 5n ICSE -IX [19] Maths +91-8862012156

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