C5WEBZL SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed : 3 hours Maximum Marks : 90

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1 C5WEBZL SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed : hours Maximum Marks : 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 1 questions divided into five sections A, B, C, D and E. Section-A comprises of questions of 1 mark each, Section-B comprises of 6 questions of marks each, Section-C comprises of 8 questions of marks each and Section-D comprises of 10 questions of marks each. Section E comprises of two questions of marks each and 1 question of marks from Open Text theme. (iii) There is no overall choice. (iv) Use of calculator is not permitted. Question numbers 1 to carry one mark each. SECTION-A 1 Construct an acute angle and draw bisector of its supplement. 1 If length is l, breadth is b and height is h, then find the total surface area of a cuboidal vessel which is open at the top. 1 For the given data : 11, 15, 17, y + 1, 19, y, ; if the mean is 1, find the value of y. 1 Find the range of two digits numbers. 1 SECTION-B Question numbers 5 to 10 carry two marks each. 5 In the given figure, AB is a chord of a circle with centre O. if POQ AB, prove that AOB Draw a line segment of length 7.6 cm. Bisect it. Measure the length of each part. 7 In the figure, BE and CF are medians of ABC. If AB 6 cm, BC 8 cm and AC cm, find the length of EF. Page 1 of 5

2 8 What is the volume of a right circular cylinder whose base area is 606 cm and whose height is m? 9 A group of 80 students of Class X are selected and asked for their choice of subject to be taken in Class XI, which is recorded as below : Stream PCM PCB Comm Humanities Total Number of Students If a student is chosen at random, find the probability that he/she is a student of either commerce or humanities stream. 10 Following is the data about the months of birth of 0 students in class IX : Feb, Jan, July, June, March, Feb, Feb, Feb, Nov, Jan, Jan, Dec, May, June, June, July, June, Nov, Dec, June, July, June, August, Dec, June, March, July, July, June, Dec, Sep, March, Jan, Dec, June, Dec, Sep, March, Jan, Nov. One student is chosen at random. Find the probability that the student chosen : (a) Was not born in the month of June. SECTION-C Question numbers 11 to 18 carry three marks each. 11 The mean of first two observations is 6 and mean of first three observations is 7. Find the third observation. 1 A company manufactures car tyres of a particular type. The lives (in years) of 0 such tyres are as follows :.6,.0,.7,.,.,.1,.5,.5,.5,.,.,.,.8,.,.6,.7,.5,.,.,.,.9,.0,.,.8,.5,.,.9,.,.,.1,.7,.,.6,.8,.,.6,.5,.,.9,.6 Construct a continuous grouped frequency distribution for the above data of equal class size and with first class interval as -.5, (.5 is not included) 1 ABC is an isosceles triangle with AB AC. P is any point on BC. Perpendiculars PQ and PR are drawn to sides AB and AC respectively. Also, CS AB. Prove that CS PQ PR. 1 Two equal chords PQ and RS of a circle with centre O, when produced meet at a point M as shown in the figure. Prove that QM SM Page of 5

3 15 Construct a triangle ABC in which BC 6 cm, B 5 and AC AB 1.5 cm. Write steps of construction. 16 In a quadrilateral PQRS, the bisectors of R and S meet at point T. Show that P Q RTS. 17 Prove that equal chords of a circle substend equal angles at the centre. 18 The diameter of the top of a conical reservoir is.5 m and depth is 1 m. Find the volume of reservoir in litres. SECTION-D Question numbers 19 to 8 carry four marks each. 19 The weight in grams of 5 mangoes picked at random from a consignment are as follows : 11, 11, 8, 75, 0, 81, 8, 118, 10, 110, 80, 107, 111, 11, 16, 1, 90, 78, 90, 115, 110, 98, 106, 99, 107, 8, 76, 186, 8, 100, 109, 18, 115, 107, 115 From the grouped frequency table by dividing the variable range into interval of equal width of 0 grams, such that the mid-value of the first class interval is 70 g. Also draw histogram. 0 ABCD is a rectangle. E, F, G and H are mid-points of sides AB, BC, CD and DA respectively. If ar(efgh) 16 cm, find ar(abcd). 1 x y z In the given figure, if. Calculate the values of x, y and z. 5 Page of 5

4 Construct PQR, QR cm, Q 155 and PQ PR 5.7 cm. In the given figure, AE BC and AE BC. If AB ED and A 10, then find B, ECD, CED and AED. A residental colony has a population of and 0 litres of water is required per person per day for other purposes except drinking. For the effective utilization of rain water, a group of people decided for water harvesting. They constructed a water reservoir measuring 50 m 7 m m to collect the rain water. (a) For how many days the water of this tank is sufficient, if during rain the height of water level is m? (b) Which value is depicted by group of people? 5 The volume of space inside a right circular conical tent is 18 7 m and its height is m. Find the canvas required to make the tent and also find the cost of the canvas at the rate of ` 0 per m. (Take 5.7) 6 A closed cubical box of edge 0 cm is made up of wood of thickness cm. Find the : (a) volume of the wood used to make it. (b) volume of air trapped in it. 7 A solid cylinder has total surface area 6 cm. Its curved surface area is one third of its total surface area. Find : (a) its radius. (b) its height. (c) its volume. 8 A company selected 000 families and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table : Page of 5

5 No.of televisions in a family Monthly Income (In `) 0 1 Above < and above Supposea family is chosen at random. Find the probability that the selected family: (i) has earning ` ` 1999 per month and has exactly one television. (ii) has earning ` 5000 and more per month and owns televisions. (iii) is not having any television. (iv) has more than televison SECTION-E (Open Text) (* Please ensure that open text of the given theme is supplied with this question paper.) Theme : Energy Consumption and Electricity Bill 9 The monthly electrical charge in a city is as follows : For the first 100 units, the charge is ` /- per unit and for the subsequent 00 units it is `.66/- per unit. Units after that are charged at ` 5.7/- per unit. Write a linear equation in two variables for the amount y and number of units consumed x, when x is : (i) Between units (ii) > 00 units What according to you is the purpose of the slab system? 0 In a house, daily 5 fans run for 'm' hours, 6 tube lights run for 'n' hours and an AC whose power is kw runs for 8 hours. If the daily electricity consumption is 60 units, frame a linear equation for the same. 1 In a hall, a TV runs for 'm' hours and tubelights work 'n' hours each. Frame an equation, if the total number of units consumed is.8. Find solutions of this equation. -o0o0o0o- Page 5 of 5

OUR OWN HIGH SCHOOL, AL WARQA A, DUBAI CMLSTQT SUMMATIVE ASSESSMENT II ( ) MATHEMATICS Class IX Time allowed : 3 hours Maximum Marks : 90

OUR OWN HIGH SCHOOL, AL WARQA A, DUBAI CMLSTQT SUMMATIVE ASSESSMENT II (05-06) MATHEMATICS Class IX Time allowed : hours Maximum Marks : 90 General Instructions : (i) All questions are compulsory. (ii)