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ICSE Class X Prelims 2023 : Mathematics (Campion School, Mumbai)

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AVAG CAMPION SCHOOL, MUMBAI PRELIMINARY EXAMINATION Std. X Date: 09/01/2023 Time: 2% hours Sub Mathematics Marks : 80 Answer to this paper must be written on the paper provided separately. YOu will NOT be allowed to write during the first 10 minutes. This time is to be spent in reading the question paper. The time given atthehead of this paper isthetime allowed for writingtheanswCr The intended marks for questionsor parts of questions, are given in brackels | SECTIONA |40 MARKS| ALL QUESTIONS IN COMPULSORY THIS SECTION ARE options: Question 1. Choose the correct answers from the givenanother dealer in to 20,000 Rs i) A dealer in Mumbai supplies goods worth be: GST is 18%, the CGST will b) Rs 3600 a) Rs 1800 ii) If the n" term ii)if9 a) 5 v) vi) d) 4 then the value of x +y the largest 1 , x I, then co-ordinates a)(-5,6) of a point (5,6) on origin are: d) (5,6) c) (5, -6) TRIANGILE. The probability of it being a vowel is: d) b) 8 vii) The be: a) d)-7 reflection in b)(-5,-6) from the word A letter is chosen a) valuc of x is: c)-9 b)-8 is: d)8 )7 b) 6 a) -6 The d) Rs 450 c) Rs 2700 10 y3-1 x- iv) If of term of the AP is: ofan A.P is 2n + 4, then the third b) 8 6 a) 15 Nashik. If the rate volume circular of a right b) 10cm cone diameter of the cone will 168Tcm", The of height 14cm is c) 8cm d) 12cm 6 cm vii) The nature ofthe roots a) Imaginary cquation of the cjuadratic b) Real and unequal 3x 0 is: 2V6x + 2 c) Real and equal = - d) None of these Contd.2 of 2x3 x - - - 2) ix) If(r a factor is ofp is: d) 2 c) 3 b) 5 a) 7 then lhe value p x - 2. n. ihe the values ofn of p & & q are: and q x)It2, 6, p, 54 are in continued a total of d) 18, 168 deposit account for 1 h years at an interest curring aeposit of 1% 10 att the the end OI calculate the interest received. 1 h years, years, calen 28170 Rs in month 1500 per per im nnsits Rs 1500 deposits of 8% p.a. Ifhe gets rate c) 18, 162 b) 16, 144 a) 14, 112 Ni) Mbappe proportion. a account . recurring end c) Rs 2210 b) Rs 2710 d) Rs 1810 a) Rs 1170 X& Y xii) Co-ordinates of (-1,4). The value of a: xiii) In the a high then the value af Circle d) 30 be similar when: -= casts shadow 2/3 long m on the ground, then the sun's elevation is: d) 60 c) 450 b) 30 a) 15 3 X b) Angle P= Angle Angle Z d) Angle P = pole angle A(DIS140 , they will then ZX Y a) Angle Q= Angle X c) Angle Q Angle m 50 . c) 20 b) 40 XY Xiv) Ifin APQR &AXYZ, = 6 = is cene 50 xv) lfa d) 3 c2 ADC given figure, angle be angie OBC will a) lin. segment XY is of line (5.a) and and (3,a (3, a + t 6). The Ihe mid-point of (-5, a) b) 0 a) are Question 2 month in a recurring deposit account for Moksh Sardesai deposits Rs 1400 every interest is 8% p.a, Iind the amount he will receive on 3yrs 3 months. If the rate of maturity. Using properties of proportion, v+2-Vx (4) VX+2+/x-3 1 P Prove that- 4) solve tor x 1+sin2A 1 1 1+cosA 1+sec2A 1tcosec?A 2 (4) Question 3 The internal radius ofa hollow wooden hemisphere is 21 uniformly 7 cm thick. Caleulate The volume of wood in it i) Quantity of oil it can hold i) cm and it is A(4,4) (4) For the given figure, find: (4) the slope and equation of OA write down the co-ordinates Find the equation of BC of B perpendicular to Write the co-ordinates of C 0A Contd..3 :3 Use graph sheet for this question. (5) Take 2 cm=| unit along the axe. Plot the following points: A(2,3.5) and B (4,0) Reflect point A on the N-axis and name il A Reflect point B on the origin and name it 5 ii) iv) v) Reflect A on y-axis and name it A" Reflect A' on the x-axis and name it vi) Joln the A points ABA'A"*B'A*":A and give the geometrical name ofthe closed figur so formed SECTION B (40 MARKS] THIS SECTION SOLVE ANY 4 OUT OF 7 FROM ueston4 Solve the following quadratic equation: 7x Give your answer correct to two (3) 0 + 2x- 2 signilicant figures stocked table gives the number of items sheet for this question. The following graph Use distribution and then estimate the a histogram for the following a department store. Draw 2 shops on x-axisand y-axis respectively: (3) mode. Use 2 c m = 10 items and 2 cm 50-60 40-50 Number ofitems Number ofstores 3 Ms store and bought the following: department -----*- Advani went to a Biscuits Watch 800 ) ii) 125 12000 SGST paid by her on Find the total Find the total bill amount A= ) In the given figure, 10% 6% 20% 9% 5% 14% (incl. GST) paid by her = a completely = (4) CGST % [-4 5]. Evaluate diameter and AC is A? - BC parallel 62 , calculate angle DEC remainder theorem, factorise the given polynomial If Angle CBE Using AOC is Z the items Questions C 90-100 purchased item inRs Almonds 80-90 Discount % Quantity Item purchasedPrice per S. No. 60-70 70-80 12 6 (3) to ED. (3) (4) 2x3 +x- 38x +35 Contd..4 in 4 Question 6 Que ) ite the equation of a line which the where P divides Doint P, line which passes through parallel to 3x- 4y =0 and in the A -5) and B (-5,9) is segmentjoining (2, 1 ratio 3:4 sece = secu b) Prove tna sec@-tane c)The sum 3) (3) sec0+ tano The sum AP is 105. terms of an offirst 15 terms of'the AP. ofthe next 15 terms of the AP is same (4) first three 780. Find the Question 7 a) bag contains A and is some of yellow yellow green, ball is a green ball I fthe bag in the Total number of balls Probability of sclecting ) The probability ofselecting and white balls. (3) balls, then find: contains 22 white a bag whitc ball of water. b) A cone When a 4 cm is full height 5 cm and height of the and touches the sides sphere which cxactly fits out [give your volume of water flows of slant how much cone is immersed, answer in terms of r|? figure, ABCD is c)In thegiven The tangent to the circle at If angle EAB = (3) cyclic quadrilateral. at F. B meets DC produced 85 , angle a BFC = 50 , calculate: (4) Angle CAB Angle FBC Qugstion 8 and /a) Solve the following inequation (2x-1) s 2x +5<r+55.x Find the roprosent the solution set real number line:(3) ER of the following data using step-deviation method 40-4545-5050-5555-60 60-65 65-70 16 1 08 5 mean glass Interval 70-75 5 12 Frequency I n thegiven figure, AB//CD// EF, AB = DF = 3cm, CD = 8cm. Find the length of i) on a OB i) CE ii) OA Acm, 0C = 9cm, OD (3) 75-80 4 =6cm, (4) iv) EF Contd..5 5 Question 9 Kay A JOurney of 192 km from Mumbai Siow train. If the find the average to Pune t kes two hours less by a fast train than dy a slow train is 16km/hr less than that of the fast train, the of average speed speed of each train. (4) U s e a graph sheet for this question. The table below shows the distribution of scores obtained by 160 shooters in a shooting competition out of a total of 90 marks. (0) Score 0-10 10-20 20-30 |30-40 40-50 50-60 60-70 70-80 80-90 12 Number | 5 11 29 14 26 23 15 25 of shooters Use 2 cm = 10 score and 2 cm =20 shooters on x-axis & y-axis respectively to draw an ogive and hence estimate: i) ii) The median score The inter-quartile range of scores Number of shooters who scored more than 80% score Question 10 a) b) c) the remainders subtracted from each of 11, 23 and 53 in order that Which number should be 3) would be in continued proportion? of elevation a vertical cliff, the angles awey-rem tromveiett m away From a boat 300 the cliff are 55 40' and 54 20 concrete pillar on top of vertical a of foot (3) nearest metre. ofthe top and the pillar correct to the the the Find height of its Draw Scm. respectively. sides 3cm, 4cm and draw a triangle with only, (4) Using ruler and compass radius its m e a s u r e circumcircle and **********

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