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Maths mock test

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ICSE MATHEMATICS MOCK TEST PAPER 2 SECTION A Attempt all Questions from this Section [Marks 40] Mathematics [M.M:80] 2 Hrs Class - X Note: Attempt all the questions from Section A and any four questions from Section B. The intended marks for questions or parts of questions are given in bracket [ ]. SECTION A [40 Marks] [ Answer all questions from this Section.] 1. (a) An article is marked at Rs 500. The wholesaler sells it to a retailer at 20% discount and charges sales-tax on the remaining price at 12.5%. The retailer, in turn, sells the article to the customer at its marked price and charges sales-tax at the same rate. Calculate : (i) The price paid by the customer. (ii) The amount pf VAT paid by the retailer. (b) Aryan and Divyanshu each lent the same sum of money for 2 years at 8% simple interest And compound interest respectively. Divyanshu received Rs 64 more than Aryan. Find the money lent by each and interest received. (c) Find the value of k for which the following equation has equal roots : (k 12)x2 + 2(k 12)x + 2 = 0 [3, 4, 3] 2. (a) Solve the inequation 3 x 4 x + 2, x R and plot the graphs of their solution sets 2 3 (b) What number must be substracted from 23, 40, 57 and 108 to make them in proportion ? (c) Without using trigonometrical table, prove that cos 70 cos 55 cosec 35 + = 2. sin 20 sin 55 sec 35 [4, 3, 3] 0 1 5 3. (a) If A = 4 3 , B = 6 and 3A M = 2B, find matrix M. (b) Find the median of 92, 35, 67, 85, 72, 81, 56, 51, 42, 69. If 35 is replaced by 58. Find the new median. (c) Use a graph paper for this question (Take 1 cm = 1 unit on both the axes). Plot the points A ( 2, 4), B (2, 1), C( 6, 1). (i) Draw the line of symmetry of ABC.

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