Jsunil 9835859669 1 Panjabi Colony, Gali NO. 01, http://jsuniltutorial.weebly.com/ IX MATHS SUMMATIVE ASSESSMENT – lI General Instructions: i. All questions are compulsory. ii. The questions paper consists of 34 questions divided into 4 sections- A,B,C and D. section A comprises of ten questions of 1 mark each, section B comprises of eight questions of 2 marks each, section C comprises of ten questions of 3 marks each and section D comprises of six question of 04 mark each. iii. There is no overall choice. However, an internal choice has been provided in one question of 2 marks each, three questions of 3 marks each and two questions of 4 mark each. You have to attempt only one of the alternatives in all such questions. iv. Use of calculators is not permitted. However you may ask for mathematical tables. SECTION – A Question numbers 1 to 10 carry 1 mark each. Select the correct alternative from the alternatives given against each of the following questions (1-10): 1. If the length of the diagonal of a square is 8cm, then is area is : (a) 64cm 2 (b) 32 cm 2 (c) 16 cm 2 (d) 48 cm 2 2. Total surface area of a solid hemisphere of radius r is: (a) 3r2 (b) 2r2 (c) 4r2 (d) 3 1 r2 3. In the given fig. ifABE = 65 o , then ADC is (a) 35 o (b) 25 o (c) 65 o (d) 115 o 4. Any point on y-axis is of the form: (a) (x,0) (b) (x,y) (c) (0,y) (D) (y,y) 5. In a parallelogra m ABCD, A = (3x + 15 o ) and B = (5x - 35 o ). The measure ofD is : (a) 125 o (b) 90 o (c) 180 o (d) none of these 6. The mean of first five whole numbers is : (a) 4 (b) 3 (c) 2 (d) 1
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IX MATHS SUMMATIVE ASSESSMENT – lI
General Instructions:
i. All questions are compulsory.
ii. The questions paper consists of 34 questions divided into 4 sections- A,B,C and D. section A
comprises of ten questions of 1 mark each, section B comprises of eight questions of 2 markseach, section C comprises of ten questions of 3 marks each and section D comprises of six
question of 04 mark each.
iii. There is no overall choice. However, an internal choice has been provided in one question of 2
marks each, three questions of 3 marks each and two questions of 4 mark each. You have to
attempt only one of the alternatives in all such questions.
iv. Use of calculators is not permitted. However you may ask for mathematical tables.
SECTION – A
Question numbers 1 to 10 carry 1 mark each.
Select the correct alternative from the alternatives given against each of the following questions (1-10):
1. If the length of the diagonal of a square is 8cm, then is area is :
(a) 64cm2 (b) 32 cm2 (c) 16 cm2 (d) 48 cm2
2. Total surface area of a solid hemisphere of radius r is:
(a) 3r 2 (b) 2r 2 (c) 4r 2 (d)3
1r 2
3. In the given fig. if ABE = 65o, then ADC is
(a) 35o (b) 25o
(c) 65o
(d) 115o
4. Any point on y-axis is of the form:
(a) (x,0) (b) (x,y) (c) (0,y) (D) (y,y)
5. In a parallelogram ABCD, A = (3x + 15o) and B = (5x - 35o). The measure of D is :
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13. 10 cylindrical pillars of a building have to be painted. If the diameter of each pillar is 50cm and
the height 4m, what will be the cost of painting in the pillars at the rate of Rs. 14 per m 2? 14. The diagonals of a rectangle ABCD meet at O. if BOC = 44o, find OAD. 15. In the given fig. O is the centre of the circle. The angle subtended by the area BCD at the centre
is 140o. BC is produced to P. Determine BAD and DCB.
16. Prove that: If one side of a cyclic quadrilateral is produced, then the exterior angle is equal to
the interior opposite angle. 17. Express y in terms of x in the equation 2x - 3y = 12. Find the points where the line represented
by this equation cuts x-axis and y- axis. 18. Draw the graph of the equation y = 2x + 3.
SECTION – C
Question numbers 19 to 28 carry 3 marks each.
19. D, E,and F are the mid-points of the sides BC,CA and AB respectively of ABC. Prove that
(i) BDEF is a || gm (ii) ar (DEF) =
4
1(ar ABC)
20. In the adjoining fig. 6, O is the centre of the circle and ABC = 45o. Prove that OA OC.
Or Prove that the line drawn through centre of a circle to bisect a chord is perpendicular to the
chord.
21. A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS
and joined it to points P and Q. in how many parts the field is divided? What are the shapes of
these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately.
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Or
Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is
18cm.
22. A metal pipe is 77cm long. The inner diameter of a cross section is 4cm, the outer diameter
being 4.4cm. find its
(i) Inner curved surface area(ii) Outer curved surface area
(iii) Total surface area
Or
It is required to make a closed cylindrical tank of height 1m and base diameter 140cm from ametal sheet. How many square metre of the sheet are required for the same?
23. What length of tarpaulin 3m wide will be required to make conical tent of height 8m and base
radius 6m? assume that the extra length of material that will be required for stitching and
wastage in cutting is approximately 20cm (use = 3.14)
24. A river 3m deep and 40m wide is flowing at the rate of 2km per hour. How much water will fall
into the sea in a minute?25. The points scored by a Kabaddi team in a series of matches are as follows:
17,4,8,27,15,10,5,14,8,24,38,10,8,7,18,28
Find the median of the points scored.
26. Following is the frequency distribution of total marks obtained by the students of different
sections of a class.
Marks 100-150 150-200 200-250 250-300 300-350
Number of students 60 100 90 80 50
Draw a histogram for the distribution above.
27. The height of 50 students measured to the nearest centimeters, have been found to be as
follows:
161 150 154 165 168 161 154 152 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166
161 159 162 167 168 159 158 153 154 159
(i) Represent the data given above by a grouped frequency distribution table, taking the class
intervals as 160-156, 165-170 etc.
(ii) What can you conclude about their height from the table?28. In countries like USA and Canada, temperature is measured in Fahrenheit, equation that
converts Fahrenheit to Celsius. F =
5
9C + 32
(i) Draw the graph of linear equation above using Celsius for x-axis and Fahrenheit for y – axis.
(ii) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes,