Mathematics - Class IX 2012 - Exam - Set 42, Exams of Mathematics

Download Mathematics - Class IX 2012 - Exam - Set 42 and more Exams Mathematics in PDF only on Docsity! Page 2 of 11 SUMMATIVE ASSESSMENT – II, 2012 II, 2012 MATHEMATICS / Class – IX / IX Time allowed : 3 hours Maximum Marks : 90 3 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A, B, C and D. Section-A comprises of 8 questions of 1 mark each, Section-B comprises of 6 questions of 2 marks each, Section-C comprises of 10 questions of 3 marks each and Section-D comprises of 10 questions of 4 marks each. (iii) Question numbers 1 to 8 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 choices have been provided in 1 question of two marks, 3 questions of three marks each and 2 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. (i) (ii) 34 8 1 6 2 10 3 10 4 (iii) 1 8 (iv) 2 3 3 4 2 (v) 45009 Page 3 of 11 SECTION–A / Question numbers 1 to 8 carry one mark each. For each questions, four alternative choices have been provided of which only one is correct. You have to select the correct choice. 1. The graph of the linear equation yx0 passes through the point : (A) 3 0, 2       (B) 3 3 , 2 2        (C) 1 1 , 2 2        (D) 1 1 , 2 2       yx0 (A) 3 0, 2       (B) 3 3 , 2 2        (C) 1 1 , 2 2        (D) 1 1 , 2 2       2. Parallelogram ABCD and APD are on the same base AD and between the same parallels AD and BC. If the area of APD is 12 cm2, then the area of gm ABCD (in cm2) is : (A) 6 (B) 12 (C) 18 (D) 24 ABCD APD AD AD BC APD 12 2 ABCD 2 (A) 6 (B) 12 (C) 18 (D) 24 3. In the given figure, O is the centre of the circle. AOBCOD50 and CD5 cm, then AB is equal to : (A) 2.5 cm (B) 10 cm (C) 10 3 cm (D) 5 cm O AOBCOD50 CD5 cm AB (A) 2.5 (B) 10 (C) 10 3 (D) 5 Page 6 of 11 OR In the given figure ABCD is a cyclic quadrilateral in which AB  DC. If BAD105, find (i) BCD (ii) ADC (iii) ABC ABCD AB  DC BAD105, (i) BCD (ii) ADC (iii) ABC 14. Find the median of the observations 2, 3, 7, 4, 2, 8, 6, 5. Also find the new median if 4 is replaced by 6. 2, 3, 7, 4, 2, 8, 6, 5 4 6 SECTION-C / Question numbers 15 to 24 carry three marks each. 15 24 3 15. Give the geometrical representation of the equation 2x70 as an equation in. (i) one variable (ii) two variables 2x70 (i) (ii) 16. In the given figure, ABCD is a parallelogram and E is the midpoint of AD. A line through D, is drawn parallel to EB, which meets AB produced at F and BC at L. Prove ar (DCL)ar (BFL). ABCD AD E D EB AB F BC L ar (DCL)ar (BFL). Page 7 of 11 17. Construct a ABC with perimeter 11 cm and base angles 90 and60. ABC 11 cm 90 60 18. How many square metres of canvas is required for making a conical tent whose height is 3.5 m and the radius of the base is 12 m ? (Use   22 7 ) 3.5 m 12 m (  22 7 ) OR The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water it can hold ? (Use  22 7 and 1000 cm3  1 litre) 132 cm 25 cm ( 22 7 1000 cm3  1 ) 19. The distance (in km.) covered by 30 cars in 2 hrs. are given below. 125, 107, 120, 90, 84, 100, 56, 140, 93, 149, 73, 68, 88, 135, 115, 120, 90, 120, 136, 144, 104, 135, 60, 79, 83, 100, 76, 91, 89, 120. Form a frequency distribution table (with tally marks), one of the intervals being 100-120. (120 not included) 30 2 km 125, 107, 120, 90, 84, 100, 56, 140, 93, 149, 73, 68, 88, 135, 115, 120, 90, 120, 136, 144, 104, 135, 60, 79, 83, 100, 76, 91, 89, 120. 100-120 ( 120 OR Represent the following data by means of histogram. Weekly wages (in Rs.) 10001100 11001200 12001350 13501450 14501700 17001900 No. of workers 5 7 6 2 10 6 10001100 11001200 12001350 13501450 14501700 17001900 Page 8 of 11 5 7 6 2 10 6 20. Draw the graph of the linear equation ymxc for m2 and c1. Read from the graph the value of y when x 3 2 . ymxc, m2 c1 x 3 2 y OR Graphically show the position of the equations x5 and y3. Name the type of quadrilateral formed with these lines and the two axes. Write the coordinates of its vertices. x5 y3 21. The volume of a sphere is 905 1 7 cm3. Determine its diameter and its surface area (Use  22 7 ) 905 1 7 cm3 (  22 7 ) 22. In the given figure , PQRS is a parallelogram and  SPQ60. If the bisectors of P and Q meet at A on RS, prove that A is the mid-point of RS. PQRS  SPQ60 P Q RS A A , RS 23. In the given figure , AX and CY are the angle bisectors of opposite angles A and C of a parallelogram ABCD. Show that AX CY.