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ICSE Class X Prelims 2024 : Mathematics (Indian Education Society IES Orion, Mumbai)

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Kavin Rau
Indian Education Society IES Orion, Mumbai

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INDIAN EDUCATION SOCIETY ES Secondary (2023-24) Date: 31 / 10/2023 First Semester Examination Orion (lCSE) VALUE ADEITION Marks: 80 Subject: Mathematics Std.: X Time: ,hrs. Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during first 15 minutes. This time is to be spent in reading the question paper. for writing the answers. The time given at the head of this Paper is the time allowed questions from Section B. Attempt all questions from Section Aand any four clearly shown, and must be done on All working, including rough work, must be answer. the same sheet as the rest of the of marks. Omission of essential working will result in lossgiven in brackets [J questions or parts of questions are The intended marks for Mathematical tables are provided. Section A [40 Marks] (Attempt all questions from this section) Question 1 from the given options: Choose the correct answer to the questions only) (Do not copy the question, write the correct answers machine to a consumer in Mumbai for 18000. If () A dealer in Mumbai sold a washing the rate of GST is 18%, then SGST is Z3240 21620 (b) (a) (c) (d) Nil None of these with respect to the line y= -2? ( ) Which of the following points is invariant (a) (2.3) (b) (-3. 2) (C) (d) (-2,3) (3,-2) account in a bank for two years at the rate of 8% per (iii) Joseph has a recurring deposit maturity Joseph receives 2000 as interest, annum simple interest. If at the time of then the monthly instalment is : 1600 d) (a) 71200 (b) Z600 (iv) Dividend is always paid on the (a) Market value (b) (c) 1000 of a share. Face value (c) Investment (d) Dividend 3(x - 2) > 6- x, wherexE W, is None of these. (v) The largest value of x for which, (c) 6 (d) 3 (b) (a) Page 1 of 5 is : (Vi) The mean proportion between 0.02 and 0.32 0.16 (c) b) 0.08 (a 0.34 (d) 0.3 (vi) If (x- 1) is a factor of x- kx' + 11x - 6, then the value of k is : 6 4 (d) 3 (C) 0 (b) (a) The median class for the given distribution is (vii) C.I 0-10 10 - 20 20-30 2 4 3 a)Frequency (a) 0- 10 (b) 10- 20 (c) 20 - 30 (d) 30 40 (c) is 241? 44th (d) 45th 2sin'0 +1 (d) 2sin'9 -1 (ix) Which term of the A.P.7, 13, 19, 25, (b) 40th (a) 36th 30- 40 (x) (cos9 - sin'e) is equal to : 2cos 0 -1 (c) (a) 2cos0 +1 (b) (xi) If AABC and ADEF are similar, 2AB = DE and BC=8 cm, then EF is equal to: (a) (b) 4 cm 8 cm (c) 12 cm (d) 16 cm (xii)) The slope of aline perpendicular to the line 3x= 4y - 10 is (a) (C (b) 3 (d) 4 3 4 = then the value of xy is: (xii) (b) 4 (a) (c) 8 10 (d) 12 (xiv) For what values of xare the numberss-.,-in G.P.? (a) 0,1 (b) 0, -1 (c) -1,1 (d) -2,2 (xu Assertion: The probability of an event that cannot happen or which is impossible is equal to zero. Reason: The probability lies between 0 and 1. Hence, it cannot be negative. (a) Both Assertion and Reason are correct and reason is correct explanation for assertion, (b) Both Assertion and Reason are correct but reason is not correct explanation for assertion. (c) Assertion is correct but reason is false. (d) Both Assertion and reason are false. Question 2 (0) Show that (x + 4) is a factor of 2x* +9x +x- 12. Hence factorise the given expression completely. [4 Page 2 of 5 ( ) Ashopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price of the washing machine being ? 18000. The shopkeeper sells it to a consumer at a discount of 10% on the printed price. If the sales are intra-state and the rate of GST is 12%, find: (a) the price inclusive of tax (under GST) at which the shopkeeper bought the machine. (b) the tax (under GST) paid by the wholesaler to the State Government (c) the tax (under GST) paid by the shopkeeper to the State Governrnent (d) the price which the consumer pays for the machine Question 6 (4] Mr. Thomas has a 4 years cumulative tirne deposit account in a bank and deposits ? 650 per month. If he receives 36296 at the time of maturity. find (a) the total interest earned by Mr. Thomas. (b) the rate of interest per annum. (3] In the given figure, ABCD is a parallelogram, E is a point on BC and diagonal BD intersects AE at F. Prove that:DF FE = FB X FA A (ii) Using ruler and compass only, construct a AABC in which BC= 4cm, LB = 45 and the median AD from A to BC is 3.2 cm. Draw the incircle of the triangle. [4 Question 7 (i) Solve the inequation given below. Write the solution set and represent it on the number line. -2sx+<3, xeR (i) () Given that: a'+3ab 63 b3+3a b 62 using properties of proportion, find (3] [31 Use graph paper for this question. The point P (3, 4) is reflected toP' in x-axis and 0' is the image of O (origin) when reflected in the line PP.Give: the co-ordinates of P' ando' (a) (b) (c) give the geometrical name of the figure POP'O. (d) the perimeter of the quadrilateral POP'O' the length of segment PP' and 00 [4) Question 8 Without soiving the following equation, find the value of p for which (0 the roots are real and equal. pr- 4r +3 = 0 [3) Two vertices of a AABC are A (6, - 2) and B (4, 3). If the co-ordinates of its centroid be (3, - 1). find the co-ordinates of the third vertex of () the triangle Find xand yif (i) (31 +2|1=+ 14 Question 9 Which term of the A.P.5, 12, 19, 26.,......will be 35 more than its 12th term ? IQ of 50 students was recorded as follows: (ii) IQ score 80- 90 90-100 100 - 110 No. of 6 9 16 [3] 110 - 120 120 -130 130 140 3 2 students Draw a histogram for the above data and estimate the mode. [3] Acan do apiece of work in x days andB can do it in (x + 16) days. If both (ii working together can do it in 15 days, calculate x. (4] Question 10 (0) The first term of a G.P. is 27 and its 8th term is Find the sum of first seven terms of the G.P. (i (3) From two points A and Bon the same side of a building, the angles of elevation of the top of the building are 30 and 60 respectively. If the height of the building is 10 m, find the distance between A and B, correct to 2 decimal places. (i) [3 Using graph paper, draw an ogive or the distribution which shows the marks obtained on the G.K. paper by 100 students. Using ogive find the median. Marks 0-10 10 - 20 20 -30 30 - 10 40- 50 No. of 5 10 20 25 15 50 - 6060 -7070 12 80 4 students [4] ***** Page 5 of S

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Additional Info : ICSE Class X Mid-term 2024 : Mathematics : First Semester
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