SUMMATIVE ASSESSMENT I (2011) Lakdfyr ijh{kk &I. MATHEMATICS / xf.kr Class IX / & IX

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1 SUMMATIVE ASSESSMENT I (0) Lakdfyr ijh{kk &I MATHEMATICS / xf.kr Class IX / & IX Time allowed: hours Maximum Marks: 90 fu/kkzfjr le; %?k.vs vf/kdre vad % 90 General Instructions: All questions are compulsory. (ii) The question paper consists of 4 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 0 questions of 4 marks each. (iii) Question numbers to 0 in section-a are multiple choice questions where you are to select one correct option out of the given four. (iv) There is no overall choice. However, internal choice 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. lkeku; funsz k % (ii) (iii) (iv) (v) lhkh iz u vfuok;z gsaa bl iz u i= esa 4 iz u gsa, ftugs a pkj [k.mksa v, c, l rfkk n esa ckavk x;k gsa [k.m & v esa 8 iz u gsa ftuesa izr;sd vad dk gs, [k.m & c esa 6 iz u gsa ftuesa izr;sd ds vad gsa, [k.m & l esa 0 iz u gsa ftuesa izr;sd ds vad gs rfkk [k.m & n esa 0 iz u gsa ftuesa izr;sd ds 4 vad gsaa [k.m v esa iz u la[;k ls 0 rd cgqfodyih; iz u gsa tgka vkidks pkj fodyiksa esa ls,d lgh fodyi pquuk gsa bl iz u i= esa dksbz Hkh loks Zifj fodyi ugha gs, ysfdu vkarfjd fodyi vadksa ds,d iz u esa, vadksa ds iz uksa esa vksj 4 vadks a ds iz uksa esa fn, x, gsaa izr;sd iz u esa,d fodyi dk p;u djsaa dsydqysvj dk iz;ksx oftzr gsa Section-A Questions number 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.

2 . Value of is : (A) (B) 9 (C) (D) 9 (A) (B) 9 (C) (D) 9. is a polynomial of degree : (A) (B) 0 (C) (D) (A) (B) 0 (C) (D). Degree of the polynomial (x )(x ) is : (A) 0 (B) 5 (C) (D) (x ) (x ) (A) 0 (B) 5 (C) (D) 4. Degree of which of the following polynomials is zero : (A) x (B) 5 (C) y (D) x x (A) x (B) 5 (C) y (D) x x 5. Two angles measure (0a) and (5a). If each one is the supplement of the other, then the value of a is : (A) 45 (B) 5 (C) 5 (D) 65 (0a) (5a) a (A) 45 (B) 5 (C) 5 (D) 65 Page of

3 6. In ABC, if BCAB and B80, then A is equal to : (A) 80 (B) 40 (C) 50 (D) 00 ABC BCAB B80 A (A) 80 (B) 40 (C) 50 (D) The area of a triangle whose sides are cm, 4 cm and 5 cm is : (A) 4 cm (B) 86 cm (C) 84 cm (D) 00 cm 4 5 (A) 4 (B) 86 (C) 84 (D) The area of an equilateral triangle is 6 m. Its perimeter (in metres) is : (A) (B) 48 (C) 4 (D) 06 6 m (A) (B) 48 (C) 4 (D) 06 Section-B Question numbers 9 to 4 carry two marks each. 9. Evaluate, Find the value of a if (x) is a factor of x ax. (x) x ax a. 4 x x 4 x x Find the product of x, x, x and x. 4 x, x, x and x x x 4 x x. In figure, AEDF, E is the mid point of AB and F is the mid point of DC. Using an Page of

4 Euclid axiom, show that ABDC. AEDF E AB F DC ABDC. ABC is an isosceles triangle with ABAC. Draw AP BC. Show that B C. ABC ABAC AB BC B C. In the given figure, line segments PQ and RS intersect each other at a point T such that PRT40, RPT95 and TSQ75. Find SQT. PQ RS T PRT40, RPT95 TSQ75 SQT Page 4 of

5 4. Which of the following points lies on x-axis? Which on y axis? A(0, ), B(5, 6), C(, 0), D(0, ), E(0, 4), F(6, 0), G(, 0) x y A(0, ), B(5, 6), C(, 0), D(0, ), E(0, 4), F(6, 0), G(, 0) Section-C Question numbers 5 to 4 carry three marks each. 5. Find the value of : Represent. on the number line.. 6. Simplify the following into a fraction with rational denominator If pa, prove that a 6app 80. Page 5 of

with two given lines are parallel, prove

6 pa a 6app 80. Factorize x x. x x x x. x x 8. Using suitable identity evaluate () (8) (4). () (8) (4) 9. Prove that if two lines intersect, the vertically opposite angles are equal. If the bisector of a pair of interior alternate angles formed by a transversal with two given lines are parallel, prove that the given lines are parallel. 0. ABC is a right angled triangle in which A90 and ABAC, find the values of B and C. ABC A90 ABAC B C. In given figure below, ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that ABE ACF Page 6 of

7 (ii) ABAC ABC BE CF AC AB ABE ACF (ii) ABAC. In given figure below, C is the mid point of AB. ACEBCD and CADCBE. Show that DAC EBC (ii) ADBE AB C ACEBCD CADCBE DAC EBC (ii) ADBE. In figure, prove that l m. Page 7 of

8 l m. 4. Find the height of the trapezium in which parallel sides are 5 cm and 0 cm and non parallel sides are 4 cm and cm Question numbers 5 to 4 carry four marks each. Section-D Simplify : If x and y, find the value of x xyy. Page 8 of

9 6. x y If x94 5, find the value of x, x xyy x x94 x 5 x 7. Expand a b 4 (ii) Evaluate (0), using suitable identity. a b 4 8. (ii) (0) If ab5c5 and 6ab0bc5ac4, find the value of 7a 5c 90abc8b. ab5c5 6ab0bc5ac4 7a 5c 90abc8b 9. State Factor theorem. Using this theorem factorise x x x x x x Find the value of a if the polynomias ax x and x 5xa when divided by (x4), leave the same remainder. ax x x 5xa (x4) a 0. Plot the points A (0, ), B (5, ), C (4, 0), and D (, 0) on the graph paper Identify the figure ABCD and find whether the point (, ) lies inside the figure or not? A (0, ), B (5, ), C (4, 0), D (, 0) ABCD (, ) Page 9 of

10 . In figure given below, if ABCD, EF CD and GED6, find AGE, GEF and FGE. ABCD, EF CD GED6 AGE, GEF FGE. In figure below, D is a point on side BC of ABC such that ADAC. Show that AB > AD. AB > AD ABC BC D ADAC. In the given figure, if ABFE, BCED, AB BD and FE EC, then prove that ADFC. Page 0 of

11 ABFE, BCED, AB BD FE EC ADFC. 4. ABC is an isoceles triangle in which ABAC. Side BA is produced to D such that ADAB. Show that BCD is a right angle. ABC ABAC BA D ADAB BCD Page of

SUMMATIVE ASSESSMENT I, 2014

SUMMATIVE ASSESSMENT I, 2014 SUMMATIVE ASSESSMENT I (0) SUMMATIVE ASSESSMENT I, 04 MATHEMATICS Lakdfyr ijh{kk CLASS &I - IX MATHEMATICS / f.kr Class IX / & IX 4600 Time allowed: 3 hours Maimum Marks: 90 fu/kkzfjr le; % 3?k.Vs vf/kdre