Formatting page ...
KIS Kohinoor International School PRELIMINARY EXAMINATION - I 2024-25 Class: X Date: 12.11.2024 Sub: Mathematics Name: Marks: 80 Time: 3 hrs Instructions: Maximum Marks:80 Time allowed: Three hours Answers to this Paper mustbe written on the paper provided separately. You not be allowed to write will minutes. This time be spent is to during in first 15 reading the question paper. The time given at the Attemptall head of this Paper is the time allowed for writing A and any four questions from questions from Section the answers. Section B. SECTION A Attempt all questions (40marks) Question [15) (i) Mr.Bittudeposits a certain 8% sum of money each month in a recurring deposit account, If the Mr Bittu gets 8088 from the bank after3 years. Find rate of interest is per annum and the value of his monthly instalment. (a) 400 (b) E300 (c) 200 100 (d) (i ) If 10320on Z100 shares at shares bought by him. (a) 110 (b) 120 Jagbeer invest a discount ofE 14, then find the 130 (d) 150 (c) (ii) In the given figure, (a) 110 (b) 115* (c) 120* (d) 45* zBAD=65,LABD= LACB 70 and ZBDC = 45", number of (iv) ABC Rashmi has If a dice whosesix faces show A D the letters as given blow: C she throws the dice once, then what is the probability of getting a C? (a) (b) () (a) (v) Find the A(12,5) ratio and B(4, (b) (c) (d) If (vii) P(x, 2)divides the line segment joining the points -3). 5:3 4:5 2:7 3:5 (a) (vi) in which the point ]&P-Q- [ P+Q- what is the 1 1th term of then matrix Qis the A.P. -3,-2,......? 28 (b) 22 (a) (c) -38 (d) (vii ) 28 The runs scored by batsmanin 35 Runs scored 0-15 frequency 5 15-30 different 30-45 (c) 8 (d) 19 45-60 4 The number of matchesin which he scored (a)16 (b)24 matches are given below: less than 60 runs are 60-75 75-90 8 3 : (ix) sin0(1 +cot*0) equal to sin8 (a) (b) 1 (c) cot 0 (tan0) (d) (x) is QR are tangents to the circle In the diagram, PQ and Find the value of x. with centre O, at P and R respectively. (a) 50* (b) 20* (c) 70* (d) (xi) In 45 so B=90 and BD 1 AC. If AC = 18 cmand AD A ABC, 6 cm; find BD (a) 8.5 (b) 8.2 (c) 8.6 (d)8 (xi) A shopkeeper buys an 10% articie If the rateof profit. from GST is a wholesaler 12%, find for 20000 and sells it to a consumer of the shopkeeper. the tax liability (a) 2000 (b)220 (xiii) (c) 2300 (d) 240 The cquation Ma) 450 of linc is x-y=4. The inclination the line (b) 30 (c) 60 (d) (xiv) The 0 solutions of the quadratic equationx-3(x+3) (a 3 +3V5 2 (b) 3,-3 3 +3V3 (c) 2 3 +2V5 (d) 2 = 0are: is at (xv) Two Assertion (A): Reason (R): If the areas (a) Both are always congruent. similar triangles of two similar triangles (A)and reason (R)are assertion true are equal then the trianglesare congruent. and reason (R)is the correct explanation of (A). assertion (b) Both assertion (A)and reason (R) are true but reason (R)isnot thecorrect explanation of assertion (A). (c) Assertion -d) Assertion (A)is true but reason (A)is false (R) but reason is (R) false. is truc. Question2. () In in (ii) right- angled AABC, ZB= 90 with BC-20cm ABC. Find triangle the radius of and AB- 2lcm.A circle is inscribed the incircle. Recna has a recurring deposit account of Rs 400 per month at 10% per annum simple If she gets 230,100 at the time of maturity, find the total time for which the interest. account (iii) was held. Use graph paper for thisquestion.(take 2 cm ordinates (0, 5)and (-2,3). (a) P is (b)Find =2 unit axes). P on both and Q have co when reflected in an axis, name the axis imageof Q on reflection in the axis found in part (a) invariant, the ()(0,k) on reflection in the origin is invariant. Find the value of k. (d) Write down the co-ordinates ofthe image of Q, obtained origin followed by reflection in x-axis. by reflecting it in the Question (i) Using the properties of proportion, solve Vx+5+ Vx-16 Vx+5- Vz-16 7 3 1+cosA 1-cos ous A (a) Prove that (ii) (b) Find the value (iii) for x: of: 1-cosA 1t cosens = 2cosecCA A (1+cot - cosec) (1 +tan +sec ) A shopkeeper buys a cameraat a discount of20% from a wholesaler. The printed camera being Rs 1600. The shopkeeper sells GST being 12%, find: Net GST liable to the shopkeeper (a) the (b) (C) (d) GST received by the Output tax for it to a consumerat central government the consumer. The amount at which the consumerbought the camera. price of the printed price. ion of SECTION B (40Marks) 4 questions from (Attempt any this Section) Question (i) Find the seventh terms (ii) Find the value cach (ii ) man A the find 2 2 series: 'p' if the lines, of Hence other. +7=0. of the equation linc a 7=O are and 6x py+ passing throueh (- and (3| moves 50 m away (b)the height of to naralle observes that the angle of elevation river, opposite bank is 60 . When he elevation to be 30,calculate: river ) = 5x--3y +2 O standing on the bank of a (a) the width of the (3| of 6 xpy a tree on the |4 from the bank, he finds the angle the tree. [Take n=3.14 ] Question 5, () The term of a G.P is -3 and the square of the second seventh term. first Find its (ii) From the given (iii) A cquation below, find the order of matrix of a ship model is made to a scale 1 (ii) The of theship volumeofthe model is is 6.5 M is equal to its 31 fourth term. and also find matrix M. |31 :300 [4) (0The length of the modelof ship is 2 m. Calculate the ()The area of the deck tem length of the ship. 180,000 m . Calculate the area of the deck of the m' Calculate the volume the model. ship. Question6. () The cquation (b) (C (i ) When a line in the expressionx and (x -2) is (ii ) of 6x- 2V3y -V3 =0,Find [31 The gradient of the line The inclination of the line The y-intercept of the line. (a) Solvethe a factor +ax'+ bx +6 of this is divided by (x -3),then expression. Find the value of a and it leaves the remainder following inequation and represent the solution set on the 3z -2 4z-19<-2seR 3 31 b. number line: 14) Question () 7. Marks obtained by 200students in an Marks examination are given below: ISI Froquency 0-10 10-20 20- 30 30-40 40- 50 50-60 0 20 28 37 40 60- 70 70-80 80-90 90- 100 29 14 2 cm-10 marks on Draw an ogive for the given distribution taking students on the other axis. Using the graph, determine 2 cm -20 one axisand (a) The median marks (b) The number of students (c) If who failed, if minimum scoing 85 and more marks is considered secured grade one in the examination. marks required to grade one, find the as pass 40. is number of students who (i ) A shopkeeper less, the purchases a certain number of books that equation,taking the original number of books 960. for could be purchased for cost of cach book to be x If the cost 960 would be and solve it to 4 book per more. find was Write the 8 an original cost ofthe book. Question () (ii) Find the 1430. market price of 5% & 100 share when a A(2,5), B(-1,2)and C(5,8) are the vertices of person gets AABC, M a is a dividend a point 65by of on AB investing such that |3) 31 AM:MB=1:2. Find The co-ordinates The equation (ii) of of the line Draw a histogram Class M, passing through the and hence 0-20 point estimatethe mode 20 -40 M for 40 - 60 and parallel to BC. the following frequency 60-80 80- Interval Frequency 3 6 4 distribution. 100 100- 120 141 Question (i) If the the (i1) sum terms of an firstn A.P. is given by 6n Sn + 7n',then find the 10th term of was conducted on 1500 families having 2 children each. The results obtained are given below: Number of number of If family one (a) No girl (b) At least is Total |2 girl children Total (c) No (iii) selected 815 475 families at random, find the 1500 210 that it will probability have child one girl child boy child From solid cylinder whose height is 16 cm and radius is 12 cm, a conical cavity of height 8 and base radius 6 cm is hollowed out. Find the volume and total surface area of the cm remaining Question solid. 10: Solve the following quadratic cquation 13x* + 20x-92 0. Give your answer two decimal places. (1) In the given figure, ABC DE is a traingle. is parallel (a) Determine the ratios AD AB BC and DE and BC EF (b) Prove that ADEF What is AB to 2 DB (iii) 13 A.P. survey A of is the ratio If (b) <POA ZRQB (c) Z00R (d) 2QPR (a) the to 4CBF.Hence, areas of find circle at FB ADEF and 4BFC? Q. PORS ia a cyclic z PSQ-38 and zPOR=110. Find a tangent to the quadrilateral. is similar R correct to 13
|
