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ICSE Prelims 2018 : Mathematics (Sacred Heart Convent Higher Secondary School, Mathura)

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2017-2018 ICSE 11PRE-BOARD - Time 2:30h Max Marks 80 Section A (attempt all questions) 440. Find the numbers la The sum of three numbers in A.P. is 24 and their product is on the number line I b Solve the following inequation and represent the solution set 19 < of 3, are removed. A card is Ic From a pack of 52 playing cards, all cards whose numbers are multiples of club or an now (2) a card at random. What is the probability that the card is (l) a black card ace I and D = 12 1,find AB + C 41) 2a if A = I 31 At the 2b Mr. Mukesh opened RD account in a bank. He deposited Rs2500 per month for two years. time of maturity, he got Rs67500. Find the rate of interest per annum. 2c A and B are two points on X and Y axis respectively. P(-3, 2) is the mid point of AB. Find the (I) Coordinates of A and B (2) Slope of line AB (3) Equation of line AB 3a Without using of trigonometric tables, evaluate Sin350Cos550+Cos350Sin550 COsec2100-Tan2800 3b When divided by x-3, the polynomials x 3 PX2 + x + 6 and 2x 3 x 2 (p + 3)x 6 leaves the same remainder. Find the value of p 3c find the sum of O. 4a The mean of 2, 12, 4, 9, 5 and 16 is a, a-I, 12, 16 is b. calculate a and b 4b In a same circle or two equal circles equal chords subtends equal angles at centre prove that 4c Construct a triangle BCP, given BC=5cm, BP=4cm and angle PBC=450 (l) Complete the rectangle ABCD such that (a) P is equidistance AB and BC (b) P is equidistance C and D (2) Measure and record the length of AB Section B ( Attempt any four questions) /5a Vaibhav bought an article for IRs8000and spent Rsl 000 for transportation. I-le marked the article at Rsl 1700 and sold it to a customer, If the customer had to pay 10% sales tax, then find (l) price paid by the customer (2) Vaibhav's profit percentage 5b if x = using properties of proportion, show that x 2 1= 0 5c In two similar triangles prove that ratio of their areas is equal to square of their corresponding altitudes 6a In triangle ABC A(3, 5), B(7, 8) and C(l, -10), find the equation of the median through A 6b Amir buys 50 shares of face value Rs 100 available as Rs132 (l) What is his investment (2) If the dividend is 7.5%, then what will be annual income (3) If he wants to increase his annual income by Rs150, then how many extra shares should he buy 6c A hollow sphere of internal and external radii 6cm and 8cm respectively is melted and recast into small cones of base 2cm and height 8cm. find the number of cones /7a -Ille distributiongiven below shows the marked obtained by 25 students in an aptitude test. Find the mean of the distribution.

 

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