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ICSE Class X Prelims 2021 : Mathematics

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Sandip Sarkar
St. Patrick's Higher Secondary School, Asansol
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DONBOSCO SCHOOL, SILIGURI PRE-BOARD EXAMINATION 2020 21 CLASS: X SUBJECT- MATHEMATICS (SET B) TIME: 2 HRS F.M: 80 NOTE: DROP ANSERWERSHEET IN WHATSAPP LINK IN PDF FORMAT ONLY Answer to this paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is spent in reading the question paper. The time given at the head of this paper is the time allowed for writing the answer. SECTION-A Answer all the questions from this part___________ Question 1: a) Using componendo and dividendo, find the value of , given 3 +4+ 3 5 3 +4 3 5 =9 [3] b) Find the value of k if on dividing 4 3 2 2 + + 5 by 2 + 1, leaves a remainder -10 c) Find x and y if: 3 [ 6 5 6 ] [ 4 0 3 2 ] =3 [ ] 4 0 6 [3] [4] Question 2: a) Mr. deep deposits Rs 1600 per month in a cumulative deposit account for 18 months. If he gets Rs 31080 at the time of maturity, what is the rate of interest per annum? [3] b) Use graph paper for this question. (1,1), (5,1), (4,2) and (2,2) are the vertices of a quadrilateral. Name the quadrilateral ABCD. , , and are reflected in the origin onto , , and respectively. Locate , , and on the graph sheet and write their coordinates. Are , , and collinear? [3] c) A two digit number is such that the product of its digit is 12. When 36 is added to this number, the digits interchange their places. Find the number. [4] Question 3: a) Find the solution set of , which satisfy the inequation. 1 1 1 2 2 2 5 3 3 2, . Graph the solution set on the number line. [4] [ 3] 2 b) A cone of height 24 cm has a curved surface are 550 cm .Find its volume. (Take = 22 7 ) [3]

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