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Class IX

Summative Assessment II Mathematics

Time : 3 Hrs M. Marks : 80 General Instructions :

1) All questions are compulsory. 2) The question paper consist of 34 question divided into four sections A, B, C, D 3) Section A contains 12 multiple choice type question, first 8 (1-8) of which carries mark each, next 4

(9-12) carries 2 marks each Section B contains 7 questions 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 5 questions of 4 marks each.

SECTION – A

Q1. Every rational number is a) a natural number c) a real number b) a whole number d) None of these

Q2. Decimal representation of 1/7 is a) 0.142857 c) 0.142867 b) 0.142657 d) none of these

Q3. In the given figure if AB||DE then x= a) 1100 b) 1150 c)1200 d) none of these

Q4. In

a) AB>AC b) AB<AC c) BC<AC d) None of these Q5. If the diagonals AC and BD of a quadrilateral ABCD bisect each other then ABCD is a

a) Parallelogram b) Rectangle c) Rhombus d) none of these Q6. find the value of x

a) 800 b) 200 c) 400 d)6200 Q7. The distance of a chord of length 16 cm from the centre of the circle of radius 10 cm. is

a) 6 cm b) 8 cm. c)10 cm. d)12 cm.

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Q8. In the figure the magnitude of <PQS is

a) 300 b) 600 c) 900 d)1200

Q9.

a) b) c) d)none of these

Q10 the value of

a) b) c) d)

Q11. In a) 700 b) 550 c) 400 d)None of these

Q12. The following observation have been arranged in ascending order 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 if the median of the data is 63, the value of x will be

a) 61 b) 62 c) 63 d)64 SECTION B

Q13. Locate on a number line. Q14. In the given figure AB=AC then find x Q15. AD and BC are perpendiculars to a line segment AB and AD=BC show that AO=OB. Q16. If the opposite angle of a parallelogram are (3x-5)0 and (51-x)0 find the measure of each angle. Q17. In divided into four congruent triangle by joining D, E and F. Q18. Find the radius of a sphere whose surface area is 154 cm2 Q19. Find the mean of first ten whole numbers.

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SECTION C

Q20. Using suitable identity evaluate (99)3

Q21. Factorise: 8x3-y3-12x2y+6xy2 Q22. In an isosceles triangle ABC, AB=AC D and E are points on BC such that BE=CD Show that AD=AE Q23. PQRS and ABRS are parallelograms and X is any point on side BR show that ar(AXS)=1/2ar(PQRS) Q24. In , AD is its median. Prove that ar( = ar( Q25. Show that the median of a triangle divides it into two triangles of equal areas. Q26. There are two concentric circles with centre OAD is a chord of a larger circle intersecting the smaller circle at B and C Prove that AB=CD Q27. The height of a cone is 16cm and its base radius is 12 cm. find the curved surface area and total surface area of a cone. (use =3.14) Q28. The length breadth and height of a room are 5m, 4m and 3m respectively. Find the cost of white washing the walls of the room and ceiling at the rate of Rs. 7.50 per m2 Q29 The following are the points scored by kabaddi team in series of matches 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 Find the mean and mode of the data SECTION D Q30. Draw a Histogram and frequency polygon for the following data

Marks 0-20 20-40 40-60 60-80 80-100 Total

No. of students 10 15 40 45 40 150

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a) How many students got marks more than or equal to 60. b) How many students got marks less than 40.

Q31 Using factor theorem factories: x3+13x2+32x+20 Q32 What length of tarpaulin 3m wide will be required to make a conical tent of height 8m and base radius 6m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20cm. (use =3.14) Q33. prove that parallelograms on the same base and between the same parallel are equal in area. Q34. ABC and ADC are two right triangles with common hypotenuse AC prove that <CAD=<CBD.

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Class IX Summative Assessment II Mathematics Time : 3 Hrs M.Marks : 80 General Instructions :

1) All questions are compulsory. 2) The question paper consist of 34 question divided into four sections A, B, C, D 3) Section A contains 12 multiple choice type question, first 8 (1-8) of which carries mark each, next 4 (9-

12) carries 2 marks each Section B contains 7 questions 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 5 questions of 4 marks each.

SECTION A Q1. Between two Rational numbers

a) There is exactly one rational number. b) There are exactly 2 rational number c) There are infinitely many rational number d) There are only rational number and no irrational number

Q2. The value of 0.9999……in the form of p/q where p, q are integers and q

a) 1/9 b) 2/9 c)9/10 d)None of these Q3. Find x

a) 750 b) 700 c) 800 d)None of these Q4. In a right angled a=900 then

a) BC is longest side b) BC is Shortest Side c) AB is longest side d) d) AC is longest side

Q5. If in quadrilateral ABCD, AB || CD then ABCD is a a) parallelogram b)Rectangle c)Rhombus d)None of these

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Q6. In the given figure, O is the centre of the circle if <BAC=1300 then x is-

a) 1300 b) 1000 c) 1200 d)None of these

Q7 O is the centre of the circle AB is a chord of a circle OM | AB if AB=20 cm. OM=2 cm then radius of the circle is

a) 15 cm. b) 12 cm. c) 10 cm. d) 11 cm.

Q8 If AB || CD, then value of x is-

a) 600 b) 1200 c) 1000 d)None of these

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Q9 After rationalizing the denominator of its value is

a) b) -2+ c)2+ d)2- Q10. The remainder obtained by dividing p(x)=x3 + 1 by x + 1 is

a) 0 b) 1 c) 2 d)-1 Q11. Which of the following is not a congruency rule of triangle?

a) AAA b) ASA c) RHS d)SSS Q12. The following observations have been arranged in ascending order. 11,12,14,16,18,x+2, x+4,30,32,35,41,45 If the median of the data is 22 then the value of x is

a) 17 b) 18 c) 19 d)20

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SECTION B

Q13. Locate on a number line. Q14. In the given figure XY and MN intersect at U If <POY = 900 and b:c =2:3 find the value of a

Q15 In ABC, the bisector of <A is perpendicular to side BC. Show that AB=AC.

Q16 If one angle of a parallelogram is a right angle prove that it is a rectangle. Q17. The angles of a quadrilateral are in the ratio 3:5=9:14 find all the angles. Q18. Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm. Q19. Find the mean of odd natural number less than 11.

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Cbse Class 9 Maths SA II SampleQuestion Paper

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