Important Instructions for the School Principal. (Not to be printed with the question paper)

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1 Important Instructions for the School Principal (Not to be printed with the question paper) ) This question paper is strictly meant for use in school based SA-I, September-0 only. This question paper is not to be used for any other purpose ecept mentioned above under any circumstances. ) The intellectual material contained in the question paper is the eclusive property of Central Board of Secondary Education and no one including the user school is allowed to publish, print or convey (by any means) to any person not authorised by the board in this regard. ) The School Principal is responsible for the safe custody of the question paper or any other material sent by the Central Board of Secondary Education in connection with school based SA-I, September-0, in any form including the print-outs, compact-disc or any other electronic form. ) Any violation of the terms and conditions mentioned above may result in the action criminal or civil under the applicable laws/byelaws against the offenders/defaulters. Note: Please ensure that these instructions are not printed with the question paper being administered to the eaminees. Page of 0

2 I, 0 SUMMATIVE ASSESSMENT I, 0 MA-00 / MATHEMATICS IX / Class IX 90 Time allowed : hours Maimum Marks : 90 (i) (ii) (iii) 8 (iv) (v) General Instructions: (i) All questions are compulsory. (ii) The question paper consists of questions divided into four sections A, B, C and D. Section-A comprises of 8 questions of mark each; Section-B comprises of 6 questions of marks each; Section-C comprises of 0 questions of marks each and Section-D comprises of 0 questions of marks each. (iii) Question numbers to 8 in Section-A are multiple choice questions where you are required to select one correct option out of the given four. (iv) There is no overall choice. However, internal choices have been provided in question of two marks, questions of three marks each and questions of four marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of calculator is not permitted. Page of 0

3 8 SECTION A Question numbers to 8 carry one mark each. For each question, four alternative choices have been provided of which only one is correct. You have to select the correct choice.. (a b) (a b) (A) b a (B) a b (C) a b (D) b a (a b) (a b) is equal to : (A) b a (B) a b (C) a b (D) b a. p(y)my a (A) a (B) m (C) m (D) a The maimum number of zeroes of the polynomial p(y)my a is : (A) a (B) m (C) m (D) a. m m (A) m (B) m The coefficient of in the epansion of (A) m (B) m (C) (D) m is : m (C) (D). a () a (A) (B) (C) 0 (D) If () is the factor of polynomial a then, the value of a is : (A) (B) (C) 0 (D) 5. BCDE, ABCCDE90 ACB0 DCE (A) 0 (B) 60 (C) 90 (D) 0 In fig. BCDE. If ABCCDE90 and ACB0 then the measure of DCE is : Page of 0

4 (A) 0 (B) 60 (C) 90 (D) 0 6. ABC A > B > C (A) AB > AC (B) AC < BC (C) AB > BC (D) AC > BC In ABC, if A > B > C then : (A) AB > AC (B) AC < BC (C) AB > BC (D) AC > BC 7. A(0, ), B (0, 6) C(a, ) y- a (A) 0 (B) (C) (D) 6 If the points A(0, ), B (0, 6) and C(a, ) lie on y-ais, then the value of a is : (A) 0 (B) (C) (D) 6 8. P(, 5) (A) I (B) II (C) III (D) IV The point P(, 5) lies in the quadrant : (A) I (B) II (C) III (D) IV 9 / SECTION-B Question number 9 to carry two marks each Simplify : p(y)y y 7y0 (y) Find the remainder when the polynomial p(y)y y 7y0 is divided by (y).. a(ab) ab(ab) Factorize : a(ab) ab(ab) Page of 0

5 . C A B ACBC AC AB If a point C lies between two points A and B such that ACBC, then prove that AC AB.. DOB87 COA8 BOA5 COB COD In figure DOB87 and COA8. If BOA5 then find COB and COD. APQ PR ABCD In the figure PR is the angle bisector of APQ. Prove that ABCD.. 6 cm, cm 0 cm Find the area of a triangle whose sides are 6 cm, cm and 0 cm. Page 5 of 0

6 5 / SECTION-C Question numbers 5 to carry three marks each Solve : Represent 6. 8 a b b a on the number line. 8 a b If then find the value of. b a Using remainder theorem, factorize : 6 5. Using suitable identity find the value of : p(). q() p If 5 p(). q(), then what is the value of p? 9. CAB : BAD : ABC In the given figure CAB : BAD :, find all the internal angles of ABC. 80 Prove that sum of angles of a triangle is 80. Page 6 of 0

7 0. l A l B BP BQ A B (i) APB AQB (ii) BPBQ Line l bisects A and B is any point on line l. BP and BQ are perpendiculars drawn from B on arms of A. Prove that : (i) APB AQB (ii) BPBQ. ABC ACBC AD BE AEBD AD and BE are the altitudes of an isosceles triangle ABC with ACBC. Prove that AEBD.. BC D ABBCCA > AD In figure D is a point on BC. Prove that ABBCCA > AD. Page 7 of 0

8 . lm pq y In the figure, find and y if lm, pq.. 5 cm, cm cm cm A triangle and parallelogram have the same base and same area. If the sides of the triangle are 5 cm, cm and cm and the parallelogram stands on the base cm, find the height of parallelogram. 5 / SECTION-D Question numbers 5 to carry four marks each Evaluate : a y, y b z z c abc If a y, y b z and z c then prove that abc. Page 8 of 0

9 6. Evaluate : a b, a b If is a factor of polynomial a b, then find the values of a and b. 8. If, then find the value of. 9. a, b, c a b c abbcca0 abc If a, b, c are real numbers and a b c abbcca0 then show that abc. 0. Point A B C D E F 0 5 y y- Plot the following points on the Graph : Point A B C D E F 0 5 y Write the points which lies on -ais and y-ais.. ABC B C BD CD 80y In ABC, BD and CD are internal bisector of B and C respectively. Prove that 80y. Page 9 of 0

10 . ABC A AD BC D ABC In ABC, AD is the bisector of A and D is the mid point of BC. Prove that ABC is an isosceles triangle. ABCD AC BD O ABBCCDDA > ACBD ABCD is a quadrilateral in which diagonals AC and BD intersect at O. Show that ABBCCDDA > ACBD.. ABAD, APAQ In figure ABAD, and. Prove that APAQ.. Prove that two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle. - o O o - Page 0 of 0

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