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I, 0 SUMMATIVE ASSESSMENT I, 0 MA-07 / MATHEMATICS IX / Class IX 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 8 6 0 0 (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
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.. 500 5 (A) 5 (B) 5 (C) 5 (D) 5 The quotient obtained when 500 is divided by 5 is : (A) 5 (B) 5 (C) 5 (D) 5. p(x)x(x) (x) (A), (B), (C) 0 (D) 0,, The zeroes of the polynomial p(x) x(x ) (x ) are : (A), (B), (C) 0 (D) 0,,. x 0x 8 (A) (B) (C) (D) The degree of the polynomial x 0x 8 is : (A) (B) (C) (D). ( x ) (x 5) x (A) 7 (B) 0 (C) (D) 7 The coefficient of x in ( x ) (x 5) is : (A) 7 (B) 0 (C) (D) 7 5. : : 5 (A) 0 (B) 60 (C) 75 (D) 90 Angles of a triangle are in the ratio : : 5, the largest angle of the triangle is : (A) 0 (B) 60 (C) 75 (D) 90 6. ABC FDE AB6 cm B0, A80 FD6 cm E (A) 50 (B) 80 (C) 0 (D) 60 ABC FDE in which AB 6 cm B 0, A 80 and FD 6 cm, then E is : (A) 50 (B) 80 (C) 0 (D) 60 7. (x, y) x y (A) (C) (B) (D) A point (x, y) lies in the II quadrant. If the signs of x and y are interchanged, then it lies in : (A) I quadrant (B) IV quadrant (C) II quadrant (D) III quadrant Page of
8. (, 0) (, 0) (A) x- (B) y- (C) (D) Points (, 0) and (, 0) lie : (A) on x axis (B) on y axis (C) in the I quadrant (D) in the II quadrant. 9 / SECTION-B Question numbers 9 to carry two marks each. 9. a b, a b b a If a and b then find the value of a b b a 0. 6x 5 y Factorise : 6x 5 y. (x y z) Expand using suitable identity (x y z). ABAD ACAD ABAC In the given figure, we have AB AD and AC AD. Prove that AB AC. State the Euclid s axiom to support this :. ABC AB65 BC0, B C In ABC A B 65 and B C 0. Find the value of B and C Page of
ABC B5,C55 AD, A ADB ADC In ABC, B 5,C 55,AD bisects A. Find ADB and ADC.. 0 cm cm The base of an isosceles triangle is 0 cm and one of its equal sides is cm. Find its area. 5. 5 / SECTION-C Question numbers 5 to carry three marks each. x 8 x x If x 8, find the value of x x If 5 6 b p 6 b p 5 6 5 6 b p 6, find the values of b and p 5 6 6. 8 Represent 8 on the number line. 7. 6 96 8 p 8 p p 5 5 5 6 96 8 Factorise : p 8 p p 5 5 5 Page 5 of
x x x (x ) (x) Find the sum of remainders when x x x is divided by (x ) and (x). 8. ap, a 6ap p 8 0 If ap, prove that a 6ap p 8 0 9. PQRS, TRS98 TPQ5, x In the given figure find x, if PQRS, TRS 98 and TPQ 5. AC BD y BAC0 BED00 In the given figure, AC BD. Find y if BAC 0 and BED 00. Page 6 of
0. ABCD, ACAD AB, A BCBD. In a quadrilateral ABCD, AC AD and AB bisects A. Show that BC BD.. ADCAEC ABBC, AE CD. In the given figure if ADCAEC and AB BC, then prove that AE CD.. PQR, PL QR, QM PR RN PQ PL QM RN < PQ QR PR In a PQR, PL QR, QM PR and RN PQ. Prove that PL QM RN < PQ QR PR Page 7 of
. ABCD AB CD A > C B > D. AB and CD are respectively the smallest and longest sides of quadrilateral ABCD. Show that A > C and B > D.. 0 5 96 A rhombus field has green grass for 0 cows to graze. If each side of the rhombus is 5 m and longer diagonal is 96 m, how much area of the grass field will each cow be getting? 5 / SECTION-D Question numbers 5 to carry four marks each. 5. 5 7 5 7 5 Simplify 5 Simplify : 6 6 8 6 6 6 6 8 6 6 6. x, y x y If x, y then find the value of x y, Page 8 of
7. a b x 0x axb, (x) (x) Find the values of a and b so that the polynomial x 0x axb is exactly divisible by (x) and (x ) 8. xy8, xy 8x 7y Find the value of 8x 7y if x y8 and xy 9. x x y xy y Factorise : x x y xy y 0. A (, ), B(0, 5), C(, ), D(0, ) Plot the points A (, ), B (0, 5), C (, ), and D ( 0, ). Join them in order. Name the figure obtained.. ACDABC CP, BCD APCACP In the given figure ACD ABC and CP bisects BCD. Prove that APC ACP.. ABC DBC BC A D BC AD BC P AP, BC Page 9 of
In the given figure, ABC and DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of base BC. If AD is produced to intersect BC at P, show that AP is perpendicular bisector of BC. ABC C M, AB CM D DMCM D B CM AB. In the given figure ABC is a rt. angled triangle, right angled at C, M is the midpoint of hypotenuse AB. C is joined to M and produced to a point D such that DMCM. D is joined to B. Prove that CM AB. Page 0 of
. ABBC, ADCD ADE AE=EC. In the given figure AB BC, AD CD Prove that ADE is a right angle and AE and EC are equal.. Prove that angles opposite to equal sides of an isosceles triangle are equal. - o O o - Page of