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ICSE Class X Prelims 2024 : Mathematics (Gundecha Education Academy, Mumbai)

6 pages, 44 questions, 1 questions with responses, 1 total responses,

Neel
Gundecha Education Academy, Mumbai

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Answer to this paper must be written on the paper provided separately. You will not be allowed to write during first fifteen minutes. This time is to be spentin reading the question paper. The time given at the head of this paper is the time allotted for writing the answers. Attempt all questions from sectionAand any four from section B. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in loss of marks. The intended marks for questions or parts of questions are given in brackets l J. Mathematicaltables are provided. SECTION A (40 Marks) Attempt all questions fromthis section. Question 1: Choose the correct answers to the questions from the given options: [15x1=1s] (i) Ifa share of 125 is slling at 96, then it is said to be selling at a of 25. (a) Below par (b) Above par (d) none (c) At par (ii) If Matrix A is of order 3 x 2 and Matrix AB is of order 3 x 1, then the order of Matrix B is (a) 3 x 1 (d) lx 3 (c) 1x 2 (b) 2x 1 (ii) If the common difference of an A.P is 5 then ajg- a13 is (d) 30 (b) 20 (c) 25 (a) 5 (iv)The mean proportion between a'b and b is (d) Vab (c) ab (b) a? (a) a (v) Two identical solid hemispheres are combined to form a sphere. If the total surface area of one hemisphere is 462 cm', the total surface area of sphere is (d) 616 cm' (b) 924 cm (c) 616 cm (a) 462 cm? (vi)The point P(1, 2) divides the join of A(-2, 1) and B(7, 4) in the ratio: (d) 2:3 (c) 3:2 (b) 2: 1 (a) 1:2 line is (vii) The solution set representing the following number -4 3 -2 -] 0 1 2 3 4 (x:xER, -3 sx $2} (a) (x: xER, -3 Sx<2} (b) {x: xER,3<x<2} (c) {x:x R, -3 <x 2} (d) other, then the value of 'a' is: (vii) If the lines 7y= ax+4 and 2y =3- x, are parallelto each (a)- 1 (b) - (c) (d) 14 (c) 1.4 and 0.36 (d) 1.390 and 0.360 1.390, 0. 359.The roots correct to 2 (ix)The roots of the quadratic equation 4x -7x +2 =0are significant figures are (a> 1.39 and0.36 (b) 1.3and 0.35 EXAMINATION -2023-2024 GEA/FINAL PRELIMINARY printed pages. This Paper consists of 6 Turn Over 023-4 2 (x) In the given graph the modal class is the class with frequency 75 72 Frequency 60 48 30 36 21 15 10 20 30 Class - interval (a) 72 (b) 21 (c) 48 (d) 36 (xi) Inthe given diagram ACis the diameter of the circle and ADB = 35 . The value of x is 35 D (a) 55 (xii) (c) 45 o (b) 35 (d) 70 Assertion(A): Iflines are parallel, their slopes are equal Reason (R): Any two parallel lines have equal angle of inclination (a) Both A and R are incorrect (b) A is true, R is False (d) Both A and R True (b)(c) A is false, R is true (xii) EVENT A: Getting a cube of 2 when a die is thrown EVENT B: Getting Head and Tail simultaneously when a coin is flipped EVENT C: Getting a vowel when a letter is picked from a word MATHS Which of the above event(s) has probability equal to0 (a) Both events A and C (b)Both events B and C (c) Allevents A, B and C (d) Only events A and B (xiv) The point (3,0) is invariant under reflection in: (a) x- axis (xv) (b) y - axis (c) Origin (d) both x and y axes In a circle with radius R, the shortest distance between two parallel tangents is equal to: (a) R (b) 2R (c) 2rR (d) nR GEA/FINAL PRELIMINARY EXAMINATION - 2023-2024 This Paper consists of 6 printed pages. Turn Ove Question 2 3 2023 -24 rIn a recurring deposit account for 2 yeats, the total amount deposited by Arsh is 14400. 1f the interest earned is three-cighth of his total deposit. Find:( U) [4] a. The interest he earns b. His monthty deposit C. The rate ofjnt rest In the given figure ABCD is aparallelogram, E is a point on AB, CE intersectsthe diagonal BD at Oand EF || BC. If AE: EB =2:3, find:( u [4) A EF: AD b. Ar(AABD): Ar(trap. AEFD) C. Prove that: AFEO~ABCO d. Ar(AFEO): Ar(ABCO) (ii) Frogthe given figure 4 3 B A 4 2 5 a. find the coordinates of A andB find the coordinates of P b. IfP divides AB in the ratio 2 :3, through Origin. and O Find the equation of line parallel to line AB passing 4] Question AB = BC = CD and LABC which in pentagon a circumscribing circle The adjoining figure shows a 6)ZAED c. LCQD doLBOD [4] a.)zAEB of: value the Calculate = 132 . A he 'a' Find the missing frequency80 -100 49. is distribution 60 - 80 mean of the following 40 - 60 Class Frequency GEA/ FINAL 0- 20 15 PRELIMINARY [4] 20- 40 20 10 30 Turn Over EXAMINATION - 2023-2024 This Paper consists of 6 printed pages. HEMATICS 2023 -24 4 (im) Use a graph paper to answer the a. Plot questions. (Takelcm= following A(0,5), b. Reflect the B(2, 5) C(5, 2), D(5, -2) , -5) and F(0, -5) points B, C, D and E on the,E(2, Y axis Write the coordinates of and E' B' , C ,D' d. Name the figure joined by C. l unit on both axes) (5] D' and E' and nanme it as B', C, BCDEED' CB' SECTION B (Attempt any four questions from this Section.) Question (3) () Ir2,6, p, 54 and q are in continued proportion find the value of pand q (1) The following table shows the eXpenditure of 60 boys on bookS [3] Use graph sheet for this question, Take 2 cm =Son one axis and 2cm =2 students on another axis. Draw histogram and also find mode from it. Expenditure (3) No of students 20-- 25 14 25 -30 30 -35 35- 40 40 - 45 7 10 6 3 45-50 18 (iii) DTDC has three types of courier service for its premium clients. An industrial house has given (4] following orders. Find the amnount of the bil. Types of SILVER GOLD PLATINUM services 5 12 Number of Services 2800 3500 5600 Discount (%) Nil 12 GST (%) 12 10 18 Cost per service () 28 QuestionS you (i) Solve the following quadratic equation x (5x+ 3) =9 and give (ii) =.B= A answer in one decimal place. [3] AB -SC C and =Evaluate (3) Find the first term and the common difference. (iii)The 4th term of an A.P is 22 and 15" termn is 66. (4] terms Hence find the sum of the series to 8 Question6x represent it on the number line: ()) Solve the following inequation and [3) R -2+ 10x < 13x + 10 <24 +10x, x BP = at P outside the circle. If AB = Scm, other each intersect circle a of CD (ii) Two chords AB and (3) 3cm and PD= 2cm. find CD. required to make a conical tent, the be will wide, Sm canvas, of (111)How many metre base is 7mand height is 24 m? EXAMINATION -2023-2024 GEA/ FINAL PRELIMINARY This Paper consists of 6 printed pages. radius of whose [4) Turn Over Grssribuinn gves bekw shyws tte matks obtaied 2023 -24 oy 25 students in an aptitude test. Find the J3) 14 2 S n Petane fiTeH 0O facorise tie voiynomia e gtver Sigute QAP fie tatget tothe completeby 6x-11 x3%+ 2. l5] at circle Aand PBD is a straigt AE 36 and L APB= 42 . Find LBAP, LABD, LQADand z BD. lne. Also[4] () Prove tuat (sirA corB-coA sir) sinA- sinB. Kasyuare wnere (1, 3). D (3. 2) are the end points of the iagonal BD. Find: (3] 2 Tt souranaies of poit of intersection of the diagonals AC and BD., [3] t. Te equation of the diagunal AC (1) 11)Cosirut airange POR. given R = 10 cm, PRO =75 and base RP= 8 cm. Find by CORSITucior: ta Te veus of poms wich are equidistant from 0R and OP. (D) Teiocus of poims which are eqiaistant from P and ). Wate te point which satisfies conditions (a) and (b) [4] nestig (4) Tie foliowing tabie gives us the weekly wages of workers in a factory: e ywages ) No of workers 150- 155 155-350 [5] 20 10 10 9 165- 179 170-175 175- 1 180- 185 185-190 12 Draw an ogive for the given istribution. Using the Ogive find: the teedat . iowe guartiie E. numtber of wokersgetting more than 157 and less than 184 (a) sg tue pruperies of proportion sove for x: 57+1+7 (5] = 11 AFINAL PRELIMINARY EXAMINATION - 2023-2024 This Paper consistsof 6 printed pages. Tuin Over 2023 -24 CLASS xMATHEMATICS Question 1 what is the (9. A bag contains 25 cards numbered through Ito 25. A card is drawn at random. (3] probability number on the card drawn is: a mutiple of 3 aprime number C. not amultiple of 5. ) he diference of the squares of two natural numbers is 84. The square of the larger numher is 25 (3) times the smaller number. find the numbers. (uD Twoapoint polesRAB and P are stand1ng oppositeeach other on either side of aroad 200 mwide. From between them on the road,the angles of elevation of the top of the poles AB and P0 are 45" and 40" respectively. Ifheight of AB -80 m, find the height of PQ correct to the nearest (4) metre. GEA/ FINAL PRELIMINARY EXAMINATION - 2023-2024 This Paper consists of 6 printed pages. END

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