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ICSE Class X Prelims 2025 : Mathematics (Orion ICSE School, Mumbai)

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VILE PARLE ORION ORIGN SET -1 MAHILA SANGH'S SCHOOL (CISCE) MID-TERM REVIEW (2024 -2025) Date:18/09/24 Subject- Grade: X Time Duration: 2 Mathematics MM: 80 30 Min Hrs, Section B. A and onyfour questions from Section from Attemptall questions shown and must be done rough work, must be clearly All working,including rest of the answer. on the same sheet asthe of marks. working will result in loss Omission of essential [| in brackets or parts of questions are given The intended marks for questions Mathematical tables are provided. SECTION A (40 Marks) Attemptall questions from this Section. Question 1 [15] from the given options. Choose the correct answers to the questions ) (Do not copy the question, write the correct answers only) ofR 2,000 each, discounted For 5 itemsbeing boughtat the rate (i) then what is (a) 10,620 (b) 12,620 (c) 14,620 (d) 18,620 the total Mr. Amarjit deposited amount paid including 1,500 per month in at 10% GST of 18% levied, GST? a recurring deposit scheme of a bank months. If hegets * 675 as interest at the time of the maturity,then rate of interest, (a) Q (c) (d) 8% p.a. p.a. such a price that his profit (a) 20 (b) 730 (d) is: p.a. Aman buys a R 40 share in (C) 9 10% p.a. 6% 12 % (b) for is a company, which pays 16%. Atwhat price 10% dividend. He buys the share at did he buy theshare? 25 27 Page 1 of 7 heHn2(3x-1),xeW. is (iv) V) value The smallest (a) 0 (b) -1 (c) 4 (d) -3 of If-isthe root (a) 2 (b) -2 ofx Ror xkx 0then the value theequation of k is: 1 (C) 4 1 (d) 2 ) Ifa 2 ,c= = (a) between and bis the mean proportion a and c, then4is equal to 2b (b) b (c) 2 b (d) 1 ac i) polynomial 4x Ifx-9 (x+3)(*-3)(4x +7) (a) (x- (4x 7) (x-3) (b) (x+ 3)(*+ 3)(4x -7) (c) (x- 3)(x+3)(7 -4x) (d) is divisor a of +7x-36x 63, then its all factors are: 3) iii Ix) 1 IfA =2and B = [4 (a) 3 (b) 6 (c) 8 (d) 9 The sum offirst (a) 4n +3 (b) 4n -3 (c) 3n -4 (d) 3n +4 3 n terms 2] then number of an A.P. is of elements in Zn +5n. Then AB its nth is: term is: Page 2 of The image (67,3) of theline xm0, is: 2x2-1)x +80 under reflection M-7, -3) (a) (c) M'7, -3) M(7, 3) (d) M(-7, 3) The values of (b) (xi) M ofpoint for which the equation k have will real and equal roots are: (xi) (a) 9and (b) Only9 (c) Only -7 (d) -9 -7 and -7 In calculations of Recurring (a) year (b) decade (c) months (d) hours Assertion (A):Ifthe second term (xii) is Reason (R):If XV) is 13and the fifth term in . is 25,then common difference of an A.P. is 5, then tg - t13 is the correct explanation (b) Both A and R are true and R is not the correct explanationof A (c) A is true but R (d) A is false and R Points (6, 0) and (0, 5)are invariant X-axis, Y-axis (b) Y-axis, X-axis (c) X-axis, X-axis (d) Y-axis, Y-axis Face value is also is (-3, (a) 7th term of 25 A is Both its 33. the A and of an A.P. always taken R are true and R (a) (xiv) Deposit Account, time is false is true 0)are invariant points under points under reflection in line reflection in line L1. Points (0, L2. -4) and Line L1 and L2 are: known as: value (a) Fair (b) Nominal value (c) Market value (d) Cash value Page 3 Question 2 [41 l2a-b 4+ ab -2 (i) find A car covers a distance of the time taken for a and b. 400 km at a certain speed.Had the speed been 12 lkm/h more, the journey would have been 1 + =A +B, (4 B) If h 40 min less? Find the original [41 speed of the car. x? (iin) Factorise -4 4 Hence show that x 4x-12 4x -12 =0has only one solution. 3 Question 6)Mrs. Pushpa sold and received shares of facevalue {100, when the R26840.70, she paid brolkerage 0.5% market value of each share was ty0 [4) and GST on brokerage 189%.Calculate: Brokerage per share a) b) GST per share on brokerage c) Selling price d)Number (1) per share of shares sold +3ab2 Given that b343a2b 63 [41 62 Using componendo-dividendo, find: a+b a)-b b); (ii) Use graph paper for this question (Take2 cm Plot =2 unit along both x and y axis). [5 the points A(6, 4)and B(0, 4) a) Reflect A and B in the origin to get the images A' and b) Write the coordinatesof A' and B'. c) State the geometricalname forthe figure ABA'B'. d) perimeter of ABA'B'. Find the B'. Page 4 c B(40 Marks) SECTION Attempt any four questions from this Section. Juestion4 () Mohan depositst 80 Der month amount pavableto him on account for in cumulative deposit maturity, if the rate of interest is 6 years. Find (31 the 6% per annum. [31 (i1) Given A Ifa31,where (i1) l the identity is and Solve the following inequation 81 matrix of order 2, represent find x and y, set on the solution the number (41 line. 14 -3+xst2s+2x,xel Question 5 () Find total the amount be to (including paid GST) the following for goods/services. Cashew Nuts Almonds () An A.P. consists of 50 terms Rate Discount Marked Price Item transaction of 80 12% {1250 10% 12% which the third term is 12 and the last term is [31 GST {980 of of 3 106. Find the 29th term. (ii) Ajay owns 560 shares of a company. The declares a dividend of face value of each share is R25. The company [4] 9%. Calculate: a) the dividend that Ajay will get b) the ) rateof interest on his investment,if Ajay had paid R 30 for each share. Duestion 6 Ifx (i) +3 and x -4 are both factors of 2x +3x-29x -60, Solve the following by using formula method: 3x2 find the third [3 factor. -x-7=0 [3] (Find the answer correct to two decimal places) iii) Gita has a RD account per annum. a) Interest in a bank for 36 months and pays 200 per month at the rate 11% [41 Calculate: earned b) the maturity value. Page 5 ot Question 7 Alok, want to What is the a) b)Calculate the What d) What are the e) tF number of pots in the in gth are 2 pots that there pots pots in in in the every row? row number of number of total wants to place 510 Rohit such in the difference c) is plants in his nursery, potted . row and so on second row and8 pots in third of pots is increasing common ratio by which the number place row, 4 pots first some pots placed in 7h and 5th number of row? upto 10th row? then find total, the rows formed in this arrangement. (i) solve Using properties of proportion, VY+1+y-1 fory: 4y-1 V>+1-Vy-1 Question8 O Withoutsolving the +3 px () by the company Use graph paper for this ABCD equation, thevalue ofp for which the roots are equal: . find 60000 shares of par value {10 Fresh Food India Ltd issued declared (i) following is 75000, find question the rate of each. If the total dividend dividend paid by the =1 unit along both x and y axis). are A (2, 2), B (2,- 2), C (0- 1) and D (0, whose vertices ()Reflect quadrilateral ABCD on the y-axis and name as A'B'CD. () Writedown the coordinates of A'and (ii) Name two points which are invariant under the above reflection. [31 company. (Take 2 cm a quadrilateral is 3] 4x 14] 1). it B'. (iv) Question Name the polygon A'B'CD. 9 0fq is the mean proportion between 1 (1) - [2 sin 30 cot 459 (iii) -2cos 60 1 -sin 90 J r, prove that: | [31 tan 45 Lcosec 30 sec60 1 cos 0 Solvethe following inequation, write the solution set and represent it on the number 3(9 -x) > 15 [3] 1 1 Simplify: p and 7r X+1TxER line. [4] 3 Page 6 of7 on 10 Using remainder and x+10x2 -37x (i) factor theorem, factorise the following polynomial: + 26 a trader, purchase For marked price. (31 price of a T.V. =t 15,680 inclusive of GST at the rate of 129% on the Komal,a customer for this T.V.asks the trader to on of the T.V. tosuch an extent that its reduced price plus GST reducethe marked price equal to marked price it is 131 (iii) If a, of the T.V. Find the required reduction. b and care in A.P. and also in G.P. show that: a =b=C (41

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