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ICSE Class X Sample / Model Paper 2024 : Chemistry

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MATHS 1 F E B i) Assertion number D 1500 Basu Mr. P the is wherecumulative then deposit by of received account the interest deposit monthly are is is false. true.true. month for has two Rs. and value 49,500 half Pxn, years,after is is false true of and Maturity but but months. Reason false.are Reason Reason Reason figure: A the is Interest=4500. per Assertion Assertion Both Assertion Both and given hiRs.m isRs. andn Assertion: a) Inthe d) c) b)Reason: i) | the HRS. sameAttempt (DoQuestion The working, Choose Omission All Time:3 AN (Attempt ALANS 1: Mathematical OFEARD not intended sheet DHAR all i) the c) a) copy all of questions value as When correct including rough work, DIOCESAN essential thequestions 3 -2 marks tables the EXAMINATION PRE-BOARD 2024-25 question, of rest ax'answers + constant areworking for of from from 6x+4x+5 provided. questions the write SUBJECTMATHS Section to this answer. STANDARD -X a t h e BOARD is: wil the section) following is SECTION -A result answers or must A and divided parts in beany d) b) loss clearly questions of ONLY) OF four by questions -3 2 of (x marks. questions shown, EDUCATION + 3) from the and are the from remainder given must given Section be in mark [1 options.each] done brackets is M.M.:80 B. -7.The on AABC and ADEF (not drawn to scale) are such that angles Cand Fare equal and DE-EF AB_BC then a) AABC~ ADEF c) A CAB ~ ADEF A BCA ~ ADEF b) d) The similarity of triangles can not bedetermined. iv) In the given figure PT is a tangent at Tto the circle with cerntre 0. if angle TPO=25 , then the value of 'x'is 23 v) a) 25 c) 65" b) d) 115 90 d) 7 P In AABC,right angled at B, AB =2cm, BC =7 cm. The value oftanCis b) 24 7 c) 2 24 vi) Acylinder, acone and ahemisphere have thesame base and same height. What is the ratio of their volumes? a) 3:2:1 c) 3:1:2 a) 5n +2 b) d) 2:1:3 b) d) 5n+3 5n-3 b) d) 0 3 2:3:1 vii) The (n-1)" term of an A.P. is given by7,12,17, 22,... is c) 5n-5 vii) A dice is thrown. The probability of getting a number less than 3 and greater than 2 is: a) c) X-MATHS 22 2 ix) Astudent claimsthatthe product of 2 x3 matrix and a 4x2 matrixis a 2x2 matrix. What is the student's mistake? a) The product should be a 2x3 matrix. b) The product should be a 4x3matrix. c) d) x) The product should be a 3 x4 matrix. None of the above Arecipe for a cake requires flour, sugar, and butter in the ratio of 4:2:1. If you want to make a larger cake by increasing the quantities of each ingredient while keeping the ratio the same, which of the following changes willNOT keep the ingredients in the same ratio? a) Doubling the amount of flour, sugar, and butter. b) Tripling the amount of flour and sugar while keeping the butter the same. c) d) Increasingthe amount of flour to 2 cups,sugar to 4 cups,and butter to 8cups. Increasing the amount of flour by 50%, sugar and butter by 50%. xi) The printed price of an article is Rs. 3080. If the rate of GST is 10% then GST charged is Rs. 308 b) a) Rs. 154 Rs. 15.40 d) c) Rs. 30.80 xi) Aperson buys 120 shares at nominal value of Rs. 40each, which he sells out at Rs. 45 each,then his profit is a) Rs. 500 c) Rs. 600 b) d) Rs. 2550 Rs. 650 xii) One of the roots of the quadratic equation x'- 8x +5=0 is 7.31 66.the root correct to 4 significant figures is a) 7.3166 b) c) 7.316 d) 7.317 7.32 xiv) Which of thefollowing equation has value of slope -1? a) c) 2x-4y=5 xy=5 b) d) 2x+5y=8 xty=8 xv) If the replacement set is the set of Whole numbers (W), the solution set of the in equation 5x+4<24 willbe: b) a) {1,2,3,4) c) {4,5,6} d) {..2,-1,0,1,2,3,4} {0,1,2,3,4} Question 2: i) Rubina and Kashish both were given a polynomial f(x)=2x-9x'+7x+6 Rubina said 2x + 1is a factor and Kashish said x +1 is afactor. Which student is correct ?Also factorise completely. X-MATHS [41 3 ii) Points Aand B have coordinates(7,-3) and (1.9) respectively. Find a) Slope of AB b) Equation of perpendicular bisector of line segment AB. c) The value of pif (-2,p) lies on it. [4] CD is i) In the given figure, AC is adiameter of the circle with centre Oandangles parallel to line BE. Angle AOB = 80 and angle ACE = 20. Calculate [41 BEC, BCD and CED. 80 Question 3 : i) The first and 8term of G.P. are 4 and 512 respectively. Find common ratio and the sum of its first five terms. i) |4] Acone and a sphere having the same radius are melted and recast into a cylinder. The radius and height of the cone are 3 cm and 12 cm respectively. If radius of cylinder is 2 cm then find the height of cylinder. [4] i) Shristy plotted a graph from the given points on a graph paper and [5] obtained the following figure after joining the points. Scale unit 2 cm = 1 B(24) A(4.2) 2, o, A(4. 2) * 5 3 - 2 1 0 1 2 3 4 5 6 7^ t-2 -3 4 5 -7 Namethecoordinate where both xandy axis intersect each other. b) Choose the name of figure: Square/Parallelogram/Kite/Rhombus d) The point Ais reflected in A'under reflection in. What are the coordinates where the diagnols of the given figure e) Write an equation of line under which point Bhas been reflected to B'. c) X-MATHS intersects? 4 SECTION -B (Attempt any four questions from this section) Question4: A company with 4000 shares of nominal value of Rs. 110 each i) declares an annual dividend of 15%. Find annual dividend and profit percentage of Shahrukh who holds the shares of the company. ii) Solve and represent on real number line: [3] (3] -3(x-7)>15-7x> Xt wherexis areal number. 3 i) iii) Question 5 A+sin'A,cos'A-sin'A -2 cos'A+sin'A. Prove-C0s Prove: cosA+sinA [4] coSA-sinA In the given figure, PORS is acyclic quadrilateral. PQ and SR produced meet at T. a) Prove ATPS~ATRQ b) Find SPifTP= 18cm, RQ = 4cm and TR =6 cm. c) Find area of quadrilateral PQRS if area of APTS =27 cm. [3] S R T P ii) Salman deposits Rs. 1200 every month in a recurring deposit account for 2 years. If rate of interest is 6% per annum, find the amount he willreceive on maturity. [3] I4] ii) Using step deviation method,findmean: Class 0-15 Frequency 3 X-MATHS 15-30 4 30-45 7 45-60 60-75 75-90 12 5 Question 6: i) Three girls Rani, Mansiand Sneha are talking to each other while maintaininga social distance due to Covid 19.They are standing on the vertices of atriangle whose the coordinates are given below: Rani (2, -2) Mansi (1, 1) Sneha (-1,0) Find: a) Equationof line formed by Raniand Sneha. b) Equation of altitudethrough Mansi. (3] i) In the given figure, PAB is asecant and PT atangent to the circle with centre O. If angle ATP =40,PA=9 cm and AB =7 cm. Findangle APT and length of PT. I3] i) Mrs. Gupta,a housewife buys the items as listed in the table below, from a store. [4] ITEMS QUANTITY RATE(Rs) DISCOUNT Agropure 3 Kg 5% Milkfood 2 Kg 80/Kg 300/Kg 12% She paid Rs. 1000 to the shopkeeper and he returned Rs. 140to her rounded off to the nearest rupee. Mrs. Gupta has checked the GST rate before shopping and those were 5% and12% respectively for Agropure and Milkfood respectively. Calculate how much did the shopkeeper over charge Mrs. Gupta? X-MATHS 6 Qestion7: As observed from the top of a 80m tall lighthouse, the angles of depression of two ships on the same side of the lighthouse in horizontal line with its bases are 30'and 40 respectively. Find the distance between the ships. Give your answer correct to the nearest [4] Use a graph sheet for this question. The daily wages of 120 workers working at a site are given below: metre. ii) Wages 250- 300 350 400 450 500 550 (Rs) 300 8 350 15 400 20 450 30 500 25 550 15 600 7 No of workers Use 2cm = Rs. 50 and 2cm = 20 workers along x-axis and y-axis respectivelyto draw an ogive and hence estimate a) The median age b) The inter-quartile range of wages c) Percentage of workers whose daily wage is above Rs. 475. [6] Quetion3: i) The probability of guessing the correct answer to a question is p/12. If the probability of not guessing the correct answer to same question is 1/3, then find the value of p. [3] yz i) If provethat r + biy' +c'z? [3] a b C a'x + b'y + c'z Vabc ii) Aconical tent is 10m high and radius of its base is 24m. find a) The slant height of the tent. b) The cost of the canvas required to make the tent if l m' canvas costs Rs. 70. Question9: c) The volume of the air contained in it. [4] The table qiven below shows the ages of members of a society. Number of members of society Age (In years) 25-35 35-45 45-55 55-65 65-75 75-85 X-MATHS 05 32 69 80 61 13 7 x-axis and Use graph sheet for this question. Take 2 cm = 10years on 2cm=1Omembers on y-axis. a) Drawa histogram representing above distribution. [3] b) Estimate the modal age of the members. ii) The nth term of an Arithmetic Progression (AP) is given by the relation T, =6(7 -n)then find a) Its first term and common difference. b) Sum of its 25 terms. ii) Solvex'-10x+6=0uptotwo decimal places. Question J : (3] [4] Find two consecutive positive odd numbers.the sum of whose squares is 802. Given 42 then show that (A -2) (A-31) =0. (3] (3] ii) Using ruler and compass only, construct angle ABC = 60, AB = 6 cm and BC =5 cm. a) Construct the locus of all the points which are equidistant from AB and AC. b) Construct the locus of all points equidistant from Aand B. c) Mark the point which satisfies both above loci as P. Hence construct a circle with centre P. and passing through Aand Band measure its radius. X-MATHS 14] 8

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