TA0DV2S I, 2013 SUMMATIVE ASSESSMENT I, 2013 / MATHEMATICS IX / Class IX

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1 TA0DVS I, 0 SUMMATIVE ASSESSMENT I, 0 / MATHEMATICS IX / Class IX 90 Time Allowed : hours Maximum Marks : 90 General Instructions: All questions are compulsory. 6 0 The question paper consists of questions divided into four sections A, B, C and D. Section- A comprises of 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 questions of marks each. There is no overall choice in this question paper Use of calculator is not permitted. SECTION A Question numbers to carry mark each. Page of 8

2 Simplify : x x x Find zero of the polynomial x x x : : 5 यह क स प र र त र भ ज ह ग? If the angles of a triangle are in the ratio : : 5, then what of triangle will it be? A, O B (, 0), (0, 0) (, 0) AB In a plane, on coordinate axes, co ordinates of points A, O and B are (, 0), (0, 0) and (, 0) respectively. Find the distance AB. / SECTION B 5 0 Question numbers 5 to 0 carry marks each. 5 5 Express 5 in the decimal form and state the kind of decimal expansion Without actually calculating the cubes, find the value of AB BC BX BY AX CY In the given figure AB BC and BX BY. Show that AX CY. State the Eculid axiom used. Page of 8

3 8 AB BC, BX BY AX CY In the given figure AB BC, BX BY, show that AX CY. 9 (0, 5) (, 5) Plot the points (0, 5) and (, 5) on the cartesian plane. 0 ABCD AB 8 cm BC 6 cm O In the given figure ABCD is a rectangle where AB 8 cm, BC 6 cm and the diagonals bisect each other at O. Find the area of the shaded region by Heron s formula. Page of 8

4 / SECTION C 0 Question numbers to 0 carry marks each.,, 6 Write,, 6 in ascending order. 5 Evaluate : 5, x 9x x x 6 Examine which of the numbers, and are zeroes of the polynomial x 9x x x 6. x x x Show that and are the zeroes of the polynomial x x x. Also find its third zero. 5 AC BC, DCA ECB DBC EAC DC EC In the given figure AC BC, DCA ECB and DBC EAC Prove that DC EC 6 Page of 8

If the bisectors of a pair of alternate angles formed by a

AD, then prove that BA and DC are parallel.

its area is 60 cm. Find its perimeter. 0 0 0 cm 50 cm 50 cm 6.

5 If the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel, prove that the given lines are parallel. 7 O, BC AD BA DC In the figure, if O is the mid point of BC and AD, then prove that BA and DC are parallel. 8 CAB : BAD : ABC In the given figure CAB : BAD :, find all the internal angles of ABC. 9 cm 60 cm The base of an isosceles triangle measures cm and its area is 60 cm. Find its perimeter cm 50 cm 50 cm 6.5 An umbrella is made by stitching 0 triangular pieces of cloth, each piece measuring 0 cm, 50 cm and 50 cm. Find the cloth required for the umbrella. (Take 6.5) Page 5 of 8

6 / SECTION D Question numbers to carry marks each Two classmates Salma and Anil simplified two different expressions during the revision hour and explained to each other their simplifications. Salma explains simplification of 5 and Anil explains simplifications of Write both the simplifications. What value does it depict? a b a b 8 If a b, then prove that : a b 8. x x x 0. Factorise : x x x 0. (m n) 0(m n) 00 Factorise : (m n) 0(m n) 00 5 f(x) x x x 5 g(x) x Find the quotient when f(x) x x x 5 is divided by g(x) x. Also, find the remainder. 6 x 6x x x. Page 6 of 8

7 Factorise : x 6x x x. 7 ABCD A D AO DO AOD ( B C) In figure AO and DO are the bisectors of A and D respectively of the quadrilateral ABCD. Prove that AOD ( B C). 8 QR S PQR PRS T QTR QPR In the given figure, side QR is produced to the point S. If the bisectors of PQR and PRS meet at T, prove that QTR QPR 9 ABCD AC BD O Page 7 of 8

AB BC CD DA > AC BD ABCD is a quadrilateral

lines such that the bisectors of a pair of

ABC is an isosceles triangle with AB AC.

8 AB BC CD DA > AC BD ABCD is a quadrilateral in which diagonals AC and BD intersect at O. AB BC CD DA > AC BD. Show that 0 If a transversal interests two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel. ABC AB AC BA D AD AB BCD In the given figure, ABC is an isosceles triangle with AB AC.Side BA is produced to D such that AD AB.Show that BCD is a right angle. ***** Page 8 of 8

SUMMATIVE ASSESSMENT I, IX / Class IX

SUMMATIVE ASSESSMENT I, IX / Class IX I, 0 SUMMATIVE ASSESSMENT I, 0 0 MATHEMATICS / MATHEMATICS MATHEMATICS CLASS CLASS - IX - IX IX / Class IX MA-0 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 8 6 0 0 (iii) 8 (iv) (v) General Instructions: