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ICSE Class X Prelims 2024 : Mathematics (Metas School of Seventh - Day Adventists, Surat)

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Exam: 2023 laths - Page 1 of 3 ME IAS ADVENTIST Aliated to CiSCK, Ni Dti) SCHOOL Post Bax No. 24, Athwaines, Surot 396001, Gujarat Ph.:2687501.95,301729 I|TERM EXAM: 2023 -24 Class: X Subject: Maths Name: Date: 23-10-2023 Marks: 80 Roll No. Q. 1. Choose the best Time: 2 Hrs SECTION -A [40M] (Compulsory) 1. GST payable is equal to: [15] a. ITC-output GST wo. Output GST-ITC b. Output GST + ITC d. Output GST 2. Mr. A deposits ?500 every month in an R.D. Account for 3 years at a simple interest of 8% p.a. The total interest he will earn 3 years willbe: after a. ? 2800 e. 2220 b. 2500 d. 1000 3. lf 2x-7=4, where x is a natural number less than 8, then the solution set is: 376 a. {0, 1,2, 3, 4} C. {1,2, 3, 4, 5, 6} b{1, 2, 3, 4, 5) d. {0, 1, 2, 3, 4, 5] 4. If x2 = 3x, then: a. x = 0 C. .b.x=0 or x=3 5. X=3 d. x = 0and x =3 Assertion (A): Sum of 15 terms of 2+ + is 345 Reason (R): Sum of first 'n' terms in an5+8 AP is by formula Sn =(2a + given a. Both (A) and (R) are true (n-1)d] and (R) is correct b. Both (A) and (R) are explanation of (A) true but (R) is not correct C. (A)is true but (R) is false explanation of (A) d. (A) is false but (R) is true 6. On dividing mx+ 9x2 + 4x 10 by (x +3),the a. -1 remainder is 5. The value of 'm' is: C. -2 b. 2 d. 3 7. The order of matrix is 2 x3. It has: a. 5 elements C. 1 element d. 3 elements b. 6 elements 8. The mth term of AP 5, 11, 17, 23, ..... is: a. 6m -2 C. 5m -1 d. 6m -1 b. 6m +1 9. If the image of point P under a. (2, - 6) b. (-2, 6) reflection in x-axis is (-2,6), then c0-ordinates of pointP is: C. (-2, -6) d. (2, 6) 10.#A(5)istthe mid-point of the line segment joining the points Q(-6,7) and R(-2, 3), then the value of 'm' is: a. -8 C. 12 b. -4 11.0 is centre of the circle. If ZAPB=50, then zAOB is: a. 800 b. 1000 12. The slope of line passing through points (-2, -3) and 5 b 3 4 3 d. -6 C. 1200 d. 1500 (1, 2) is: C 3 Page 2 -X Maths - am Fxam 13.The curved surface area of aright circular cone whose height is 20 cm and the of its base is 42 cm is: a. 1564 cm2 S 1900 cm2 d. 1914 cm2 b. 1832 cm? (1+tan 8 14. diameter 2 =? 1+cote a. 1 C. tan tan'9 d. 4 15. From the following figure, calculate zPCA. a. 600 K13 C. 570 b. 580 d. 560 Q. 2. [4+4+4] a. A kite is attached to a string. Find the lenath of the strina, when the height of the kite is 60 m and the string makes an angle of 30 with the ground. b. Mrs. Mathew opened a R.D. ACCount ina bank and deposited 640 per month for years. Find the M.V. of this account, if the bank pays interest at rate of 12% per year, (tbed (uso60 C. What number should be added to 2x -3x?+ x, so that when the resulting polynomial is divided by x-2, the remainder is 3? 2y34x Q. 3. a. Given: DH = 8 cm, DF= 12 cm, [4+4+5] 2 DG =3 x-1and DE = 4x + 2. Find the lengths of DG and DE. 31-1 b. Inscribe a regular hexagon in a circle of radius 3.5 cm C. Sum of two natural numbers is 8 2 and the difference of their reciprocal is 2/15. Find the numbers. H SECTION-B[40M] (Answer any four questions) Q. 4. [3+3+4] 1. Goods/services are sold from Kota (Rajasthan) to Mumbai for 20,000 and then from Mumbai to Pune. If the rate of GST is 12% and the profit made at Mumbai is 5,000; find the net GST paid at Pune, if the dealer at Pune is end used. 2. Given that x eI, solve the inequation and graph the solution on the number line. x-4 3>*+>2 2 3 3. Using a graph paper, plot the points A(6, 4) and B(0, 4): a. b. C. .d. Reflect Aand B in the origin to get images Aand B Write the co-ordinates of A'and B State the geometrical name for the figure ABA'B' Find the perimeter 17 270 247 32 Q. 5. 1. Solve: (x +3) - 4(x +3) -5 = 0 2. If A = la .B-and 3Ax M= 2B, find 6 a 3. Given= C prove that 3a-5b 3c-5d 3a+5b 3c+5d matrix M. + 9g0 4 3u56o Q. 6. a. The first term of a GP is 27 and its 8th term is -, Find the sum of first 10 times. 81 b. ABCD is a cyclic quadrilateral in a circle with centre O. If LADC = 130 , find C. Prove: cos A 1-sin A = Sec A + tan A. a? BAC. [3+3+4] 3500 [343+4] I|Term a7. a X Maths Exam: 2023-24 - Page 3 of3 (3+3+4] Find the co-ordinates of the point of trisection of line joining the points (- 3, 0) and (6, 6). b. In the following figure PQ and PR areIf tangents to the circle,with centre O. LQPR =60, calculate (i) ZQOR ( ) 20QR (ii) 2QSR R C. Find the total surface area of open pipe of length 50 cm,external diameter 20 cm and internal diameter 6 cm. [5+5] identical cones, Q. 8. melted and recast into is cm 6 radius formed. a. A solid cone of height 8 cm and base Find the number of cones change the diameter 1 cm. each of height 2 crm and m high, takes 2 minutes to boat. 150 house light a from away speed of D. Aman in a boat rowing top of the light house from 60 to 45 , Find the the of elevation angle of (3+3+4] Q. 9. a. In the given figure, RS is diameter of the circle. NM | RS and zMRS = 290. M Calculate: R (0) RNM (i ) ZNRM A =3:5. Find: b. In the givenfigure, AX: XB of XY is 18 cm Length of BC, if length Ratio between areas of trapezium XBCY and A ABC. B =5. Find the value of (-2,3) and B(4, b) is perpendicular to line 2x - 4y C. The line through A 'b' 21-5-49 ****** ****

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Additional Info : ICSE Class X Mid-term 2024 : Mathematics : Mid term 10th ICSE - Math 2024
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