Cbse class 9 maths sample paper model 2 - http://cbse.edurite.com/cbse-maths/maths-cbse-class-9.html

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MATHEMATICS
SAMPLE TEST PAPER
CLASS IX
Class:9 Max Mks:90
Time 3hrs No of pages: 3
General Instructions:
Ò All questions are compulsory.
Ò The question paper consists of 37questions divided into four sections - A, B, C and D.
Ò Section - A contains 10 questions of 1 mark each,
Ò Section B is of 9 questions of 2 marks each, Section C is of 10 questions of 3 marks each and
Ò section D is of 8 questions of 4 marks each.
Ò The drawing should be maintained as per the given measurements.
1. The decimal expression of
7
8 is
a) 0.854 b) 0.875 c) 0.569 d) 0.981
2. Multiply 6√5 by 2√5
a) 3√5 b) 2√5 c) 4√5 d) 6√5
3. by p(x) = 5x2-3x+7 , the value of polynomial p(x) at x =1 is
a) 4 b) 5 c) 9 d) 7
4. curved surface are of cylinder is
a) 2πrh b) 2πr c) 4πrh d) 4πh
5. Three angle of a quadrilateral is 600
, 1100
and 860
. The fourth angle of quadrilateral is
a) 104 b) 124 c) 94 d) 84
6. The factor of (x2
-x-6) are
a) (x+3) (x+2) b) (x+3) (x- 2)c) (x-3) (x+2) d) (x-3) (x-2)
7. The value of x is 2x+1 = x+3
a) 1 b) 2 c) 3 d) 5
8. The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3 ratio ,
the ratio of their volume is
a) 10:17 b) 20:27 c) 17:27 d) 20:37
9. If (x-1) is a factor of 4x3
+3x2
+kx-6 then the value of k is
a) 1 b) 0 c) -1 d) 2
10. The zero of the polynomial x(x-5) (x+1) are
a) 0,5,1 b)5,-1 c) 0,5,-1 d) 0,1
11. Show that 1.343434.... = ̄(1.34) can be expressed in the form
p
q where p and q are integers
and q # 0
12. Find the zero of the polynomial p(x) = 3x-5+6
13. Find the value of k, if x= 2, y= 1 is a solution of the equation 8x + 9y= k.
14. express the equation in ax+by+c = 0 form 5x=-6+7y
15. Find the area of triangle whose two sides are of length 15 cm and 22 cm and perimeter is 62 cm.

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perimeter
16. Find the mode of the following marks obtained (out of 20) by 8 students
15,16,12,18,20,19,14,15
17. Factories the following using factor theorem 14x2
+6x-8
18. construct a n angle of 15
1
2
19. show that a median of a triangle divides it into t triangles of equal area
20. simplify (√9+2) (√6+√3)
21.
Evaluate using proper identity (888)3
22. Draw the graph for the equation x+y = 6
23. In the given figure if x+y = w+z, then prove that AOB is a line.
24. Show that in a right angled triangle, the hypotenuse is the longest side.
25. Find the slant height and base diameter of conical tomb are 25 cm and 16 m respectively . Find
the cost of white- washing its curved surface
26. The capacity of cylindrical vessel of height 2m is 16.5 liters. How many square meters of metal
sheet would be needed to make it ?
27. ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at
O, show that ar(ABC) = ar(ABD)
28. If two equal chords of a circle intersect within the circle, prove that the line joining the point of
intersection to the center makes equal angles with the chords.
29. Prove that equal chords of a circle are equidistant from the center.
30. Factories x3
+12x2
+32x+16
31. find two solution for the equation 4x+6y =10
32. If a transversal intersects two lines such that a pair of corresponding angles is equal, then the
two lines are parallel to each other.
33. Angle opposite to equal sides of an isosceles triangle are equal.

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34. Given below are the sets won by different political parties in the polling outcome of a state
assembly election.
a) D raw a bar graph to represent the polling result
b) which political party won the maximum umber of seats?
35. The pillars of temple has a circular base of radius 25 cm and height 20m, how much concrete
mixture would be required to build 20 such pillars.
36. Construct a triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
37. The frequency distribution table represent the blood group of 50 students of a class. Use this
table to determine the probability that student of this class, selected at a random, has blood
group AB.