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ICSE Class X Prelims 2025 : Mathematics (Lakshdham High School (LHS), Mumbai)

9 pages, 62 questions, 0 questions with responses, 0 total responses,

Kumar Sekar
Vasudev C. Wadhwa Arya Vidya Mandir (VCW AVM), Mumbai

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The is made area ship l Attempt working, Omission including all questions marks intended The All The time This You Answers = 80 03-01-2025 DateGrade : :X FIRST [15] [] on B. the the given to PRELIMINARY t h i s an will time Paper article for LAKSHDHAM SCHOOL HIGH (Attempt not If same rough Government of at MATHEMATICS SUBJECT: Mathematical from to is the essential the to questions SECONDARY SECTION be the must sheet work, rate from allowed head be Section all questions spent of a be as working questions is SECTION A GST of written wholesaler or the must A this in to EXAMINATION tables parts answers. is from reading write rest Paper beand 10%, will Hrs.Marks :3 : onTime from any of clearly ar e of t h e during the for questionsresult the four is then provided. t h e paper t h i s given the shown, aSwer. question flrst Sec Section) the 8250 in questions time provided are loss and tax options: A 15 and 40 (2024allowed minutes. given of paid sells paper. + must from Sec by it narks. separately. in f o r to the B 2025) Section be brackets a 40 writing done buys 9000. answers State ) customer 2(a) shipmodel A (d) (c) (b) (aretailer (c) (b) m? retailer A the correct 37.50 790Z82.50 400 m is 40 m m 75 to 16 80000 of the at (ii) X MA IS EN when y the then 10, < -2y 5 -5 smallest y of value GRADE X (b) If (a) (11) 1 (c) (d) -6 (a) (b) (c) (d) grouped a for graphically determined be cannot is earned for account interest the deposit then recurring amount, a maturity in month as per 10500 400 received deposited (a) (b)(c) (d) If 2 following frequency distribution? 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X-y-3 0 0 =0 = = +y-3 thrown 3 +y+ equation of x x The (a)(b)(c) GRADE X (XV) A (xv) (d) [4] O. centre with A at circle ofa Find: tangent 46. a = is ZOBA PAT B (c) (d) 69 diagram, ABT Z 2AOB ZACB 69 , 2OAC = ZPAC Question 2 the (a) (b) In () [4] account. maturity a get to deposit the deposits Calculate p.a. recurring (a) (b) [4] has card shuffled. the that (a) (b) (c) (d) a a an wellprobability and a (iii) When Some 4 25 ?of5 Ravi to the 2 Mr. multiple from is a of interest what n 12% instalments bank. numbered month randomly, 4? a is the ? by which per 3 anddivisible monthlyby are 600 number? prime a paid simple a pays 26330. of amount drawn 2 number cards of deposited interest multiple of number is identical number odd card total RaviThe bank Mr. (i1) 9of 4 pages. printed 9 of consists paper This [4] h35 If (i) solidcm A 35 of = Iwhere A 3Juestion 21 bottom.cm. that matrix. height circular right the 56 hemisphere such if is height of the cylinder y null cone touches and a a x is on ain the its of O circular and standing upright it valuesand thatin leftcm matrix right 21 such water placed the is a cm cylinder find identity of 21 water of consisting is radius cmof volume an 21 full the and is radius cylinder the of 4 L2 Findradius 0, = yl + xA A' [4) MATHEMATICS X ADE () [5] and graph. respectively. the slope. of the boundary on same Q ABCDEFGH. geometric [3] ofRate articles.GST of price 18%28% 1010 200 Rate/item marked the and rates box 10050 1 clips brush PaintPaper Metal GST Quantity the shows bill Pen Articles following () 4Question The x pointhave both E section) the Label -5).and which on F on unit D(-2, G, this lies x-axis. formed figure H, 1 from which get = cm and E.Fand B SECTION closed figure questions -3) toy-axis Q in 1 reflection Take C(-4, G, thepoint the question. theH, for a four of in from 2), in of name co-ordinates invariant any D co-ordinates B(-4, sides and (Attempt this C of for 5), B, is pair paper A(-2, A, the the and a Reflecta figure Name graph Plot WriteGiveWrite V-axis. (a) (b) (c) (d) (e) Use (ii) of rate the find 60, bill. above is pens the for for paid Government be to amount the to total paid Calculate (b) GST on pen.the SGST the If (a) 9of5 pages. printed 9 of consists paper This aon set solution the represent and R xE 1;, 2 Inequation t [4] point the by divided is -8) B(-8, A(4. and 4) points (11) AB. is diameter whose (3] [4] when [3] sum 125. and shares shares first the100 He in sells 12%, common term difference.at melted the and is It cm. Find 5544 A man Six 6" first the If of (1u1) the (ii) dividend. (a) (b) (c) [3] (i) B C its the circle cm. 15. proceeds A times and from is 7 AFCE Sphere the buys dianmetercast. fou rterm at and that income hemispheres shares the AB.ofcentre he cm suchDC of metallic to first sphere. AFCE invests shares 8%,10 arca equal 12 BCmects of of annual the inclination CF. AABE: AB= each the find ~ on produced P. 125 solid original ofnewis and of AABE of of proceeds point his in rectangle, co-ordinates hemispheres A.P.75, investsR4500 length co-ordinates 30, of aof in of numberan is of a number of change that is AE area radius of terms to thearca angle D.atproduced sale rises term E Prove FindFind Calculate: a cm.cm. is price the the the ABCD 8 BE=5 6Question =BC (a) (b) (c) () AP: Find 2). P(x, PB. surface intothe the thethe the line recast The (a) (b) (c) (d) 5Question The (a) (b) joining 15 x+ <1;+ the 5 line. number following the Solve 8 GRADE X (i) 9of 6 pages. printed consists 9 of paper This MATHEMATICS ADEX [3] Solve the following equation and give your answer correct to ) 2 significant figures. x8x+2 = 0. elevation of top of a (111) From the top of a building10 m high, the angle of Find: tree is 45 and the angle of depression of its foot is 15 . (4] meter) (a) the height of the tree (correct to the nearest of the tree and the building. (b) the horizontaldistance between the foot Question 7 () If x'+y? 17 properties of proportion to find the Use x2-y? [3] value of (a) x +y' (b) (ii) x3-y3 [3] construct AABCsuch that BC=8cm, only, compass and ruler Using AC= 10 cm and LABC= 90 . Mark the centre as I. (a) Construct an incircle of AABC. BC the incircle touches the sides AB, where R and Q P, points Mark (b) Find ZRIQt 2QCR. and AC of thetriangle respectively. (ii) The following table shows the examination. Marks 0-10 No. of 6 10 10 [4] marks scored by 80 students in an 20 20 15 30 30-40 40 50 50 13 60 60-70 20 students axis and taking 2cm = 10marks on one data above the for ogive Drawan other. From your graph determine: 2 cm =10students on the (a) median marks scored more than 56 marks. (b) Number of students who Question 8 (i) factors of x' + ax - bx -6. are 2) (x and 1) + (x that Given these valucs of a and b, factorise With b. and a of values the Find the given expression completely. 7 This paper consists of9 printed pages, 7 of 9 GRADE X MATHEMAT (11) Study the graph and answer the questions: ScaBe: x ods,2 cas 10 cm sun5sudents -35 25 30 170 Hoight +cmj (a) (b) (c) (d) (e) Make a frequency table for the information The number of students whose height is lessprovided in the graph. than 150 cm. The total number of students. The modal height. The difference in the modal height and mean height , if the average height of the students is 145.5 cm. Question 9 (i) 1+(secA-tan A) Prove that: Cosec A(sec A-tan 1) = 2tanA [3] 8 This paper consists of 9 printed pages. 8 of 9 MATHEMATICS aDEX [3] the figure, ABCDE is a pentagon inscribed in acircle such that ACis a diameter and side BC I| AE. IfLBAC= 50 , find : (a) ZACB (b) (c) (iii) V50 ZEDC ZBEC [4] km and by rail The distance by road between two places A and B is 240 than a car's speed and is 200 km. The speed of atrain is 10km/h more distance from A to B. thus it takes 2 hours less than the car to travel the Find the speed of the train. Question 10 (i) (ii) [(3] times the fourth term and its fifth term The seventh term of a G.P. is 8 is 48. Find the G.P. Construct a circle of radius Use ruler and compass for this question. 4.5 cm. Draw a chord AB = 6 cIm. from AandB. Mark the point (a) Find the locus of points equidistant [3] where it meets the circle as D. which are equidistant from (b) Join AD and find the locus of points the circle as C. meets AD and AB. Mark the point where it write down the length of side CD (c) Join BCand CD. Measure and of the quadrilateral ABCD: distribution and (ii) Observe the following frequency 10 -20 Class Interval Frequency (a) (b) 20-3030 answer the questions. 40 40 - 50 3 50 60 [4] 60 - 70 70 80 6 13 If the mean of the above distribution is 52, find the unknown frequency f Find themedian class of the distribution. This paper consists of 9 printed pages. 9 of 9

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