Mathematics - Class IX 2012 - Exam - Set 38, Exams of Mathematics

Download Mathematics - Class IX 2012 - Exam - Set 38 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) 45011 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. Equation of a line which is 5 units distance above the x-axis is : (A) x5 (B) x5y (C) y5 (D) xy0 x (A) x5 (B) x5y (C) y5 (D) xy0 2. In the given figure, AD is the median of ABC. The ratio of areas of ABD and ACD respectively is : (A) 2 : 1 (B) 1 : 2 (C) 1 : 1 (D) 3 : 1 AD ABC ABD ACD (A) 2 : 1 (B) 1 : 2 (C) 1 : 1 (D) 3 : 1 3. Three chords AB, CD and EF of a circle are respectively 3 cm, 3.5 cm, and 3.8 cm away from the centre. Then which of the following is correct ? (A) AB > CD > EF (B) AB<CD<EF (C) ABCDEF (D) ABCD<EF AB, CD EF 3cm 3.5 cm 3.8 cm (A) AB > CD > EF (B) AB<CD<EF (C) ABCDEF (D) ABCD<EF 4. If (1, 2) is a solution of the equation 2xyp, then the value of p is : (A) 4 (B) 5 (C) 0 (D) 3 2xyp (1, 2) p (A) 4 (B) 5 (C) 0 (D) 3 5. In a data of 12 members arranged in ascending order, if the 9th observation is increased by 5, then the median increases by : (A) 0 (B) 4 (C) 5 (D) 6 12 9 5 Page 6 of 11 14. A part of the frequency table is given below : Class marks of weights in (kg) 33 38 43 No. of students 9 5 14 Rewrite the table with class limits 33 38 43 9 5 14 SECTION-C / Question numbers 15 to 24 carry three marks each. 15. Give the equation of three lines passing through (1, 3). (1, 3) 16. OABC is a rectangle inscribed in a quadrant of a circle of radius 25 cm. Find the area of rectangle if OC7 cm. 25 cm OABC OC7 cm 17. Construct a XYZ in which XY7 cm, X60 and YZZX12 cm XYZ XY7 X60 YZZX12 Page 7 of 11 18. 1.1 cu.cm of copper is to be drawn into a cylindrical wire 0.5 cm in diameter. Calculate the length of the wire. 1.1 cm 0.5 cm OR The length, breadth and height of a cuboid are 20 m, 24 m, 12 m respectively. The dimensions of length, breadth and depth are increased by 15%,25% and 50% respectively. What is the ratio between the volume of the original cuboid and the new cuboid. 20 24 12 15%, 25% 50% 19. The mean marks of a class of 40 students are 50. If the mean of first 20 students is 56 and the mean of last 20 is 48, find the marks of the 20th. Student. 40 50 20 56 20 48 20 OR If the mean of the data 5, 3, b, 4, 3b, 8, 8, 5 is 5, find the value of b. Also find the mode of the data. 5, 3, b, 4, 3b, 8, 8, 5 5 b 20. Give the geometrical representation of 2x70 as an equation : (i) in one variable (ii) in two variables 2x70 (i) (ii) OR Draw the graph of the linear equation 3xy4. From your graph, find the values of h and k if the graph passes through the points (h, 4) and (3, k). 3xy4 h k (h, 4) (3, k) 21. Three cubes are placed adjacent to each other in a row. Find the ratio of the total surface area of the cuboid so formed and that of any one of these cubes. 22. In parallelogram ABCD, E and F are two points on diagonal AC such that AECF. Show that BEDF is a parallelogram. Page 8 of 11 ABCD AC E F AECF BEDF 23. Parallel lines l and m are intersected by a transversal p. Show that the quadrilateral ABCD formed by the bisectors of the interior angles is a rectangle. p l m 24. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and number of vehicles in a family. The information is