CBSE Board Math Sample Papers for Class 9
Mathematics  IX
Time : 3 or 3 ½ hours Maximum Marks: 90
General Instructions:
1. All questions are compulsory.
2. The question paper consists of 34 questions divided into four sections  A, B, C and D.Section  A
contains 8 questions of 1 mark each, Section B is of 6 questions of 2 marks each, Section is of
10 questions of 3 marks each and section D is of 10 questions of4 marks each.
3. In questionon construction, the drawing shouldbe neatand exactly as per the given measurements.
4. Use of calculator is not permitted..
SECTION – A
1. Given a cuboid of dimensions l = 6 cm, b=5 cm and h= 4 cm. How many cubes, each of side 2 cm
can be cut out from it ?
i. 6 ii. 15 iii. 30 iv. None of these
2. Given figure A and figure B such that ar(A) = 20 units 2 and ar ( B ) = 20 units 2 . Then
i. Fig. A and B are congruent iii. Fig. A and B are not congruent
ii. Fig. A and B may be or may not be congruent
3. A data is such that its minimum value is 86 and range is 22. Then the maximum value is:
i. 54 ii. 811 iii. 118 iv. 181
4. The region between a chord and either of the arcs is called:
i. An arc ii. A sector iii. A segment iv. A semicircle.
5. If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then
ABCD is i. Trapezium ii. Rhombus iii. Parallelogram iv. Kite.
6. In an experiment, probability of an event is better approximated, when an experiment is performed :
i. 10 times ii. 20 times iii. Large number of times iv. 30 times.
7. A semi circular sheet of metal of diameter 28 cm is bent into an open conical cup, then radius of
cone is : i. 14 cm ii. 7 cm iii. 12.12 cm iv. None of the above.
8. The equation 2x + 5y = 7 has unique solution, if x and y are :
i. Natural number ii. Positive real number iii. Real number iv. Rational number
SECTION – B
9. Ten observation 6, 14, 15, 17, x + 1, 2x – 13, 30, 32, 34, 43 are written in an ascending order. The
median of the data is 24. Find the value of x.
10. Show that the points A(1,2 ), B(1,16) and C(0,7) lie on the graph of the linear equation y = 9x – 7.
11. Three cubes each of side 6 cm are joined end to end. Find the surface area of the resulting cuboid.
12. If x = 3, y =  2 is a solution of the linear equation 3x – ky = 1, then find the value of k.
13. The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area.
14. In the given, AB is the chord of a circle with centre O.
AB is produced to C such that BC = OB, CO is joined
and produced to meet the circle in D. If ACD = y and
AOD = x, prove that x = 3y.SECTION – C
15. Construct a right
le
in which one side is 3.5 cm and sum of the other side and hypotenuse is 5.5 cm.
16. The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank
contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity. Calculate the
volume of water pumped into the tank.
17. ABC and DBC are on the same base BC with vertices A and D on opposite sides of BC such
that area of ABC = area of DBC. Show that BC bisects AD.
18. Ram is half of his father’s age. Twenty years ago the age of father was six times age of Ram. Find
the age of Ram and his father.
19. Draw a histogram and a frequency polygon from the following data :
Class Interval 21  25 26 – 30 31 – 35 36 – 40 41 – 45 46 – 50 51 – 55 55 60
Frequency 21 22 50 110 87 51 18 23
20. A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus.
21. Two coins are tossed simultaneously 100 times and we get the following outcomes :
i. No head = 30 ii. One head = 20 iii. Two heads = 50
Find the probability of each event.
22. The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to
intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal areas.
23. A conical tent is 10 m high and the radius of its base is 24 m. Calculate its slant height and cost of
canvas required to make it at the rate of Rs. 70 per meter square.
24. In the given figure, O is the centre and AE is the diameter of the semicircle
ABCDE. If AB = BC and AEC = 50, then find
(a) CBE (b) CDE (c) AOB. Prove that BOCE.
SECTION – D
25. Prove that the angle subtended at any point on the arc of a circle is half the angle subtended at the
centre of a circle.
26. Water flows in a tank 150 m X 100 m at the base through a pipe whose cross section is 2 dm by
1.5 dm at the speed of 15 km/hr. In what time will the water be 3 m deep ?
27. The force exerted to pull a cart is directly proportional to the acceleration produced in the body.
Express the statement as a linear equation of two variables and draw the graph of the same by taking
the constant mass equal to 6 kg. Read from the graph, the force required when the acceleration
produced is (a) 5 m/sec 2
(b) 6 m/sec 2
28. How much steel was actually used, if of the steel actually used was wasted in making the closed circular tank whose diameter is 4.2 m and length is 4.5 m.
29. Construct a triangle with perimeter 10 cm and base angles 60 and 45.
30. The mean marks (out of 100) of boys and girls in an examination are 70 and 73, respectively. If the
mean marks of all the students in that examination are 71, find the ratio of the number of boys to the
number of girls.
31. “Two years later a father will be 8 years more than three times the age of the son” taking the present
age of father and son as x and y respectively. Write a linear equation for the above and draw its
graph. From the graph, find the age of the father when the son’s age is 10 years.
32. E and F are respectively the mid – points of the non – parallel sides AD and BC of a trapezium
ABCD. Prove that EFAB and EF = ½ (AB + CD).
33. Prove that, if two triangles are on the same base and between the same parallel lines then their areas
are equal.
CBSE Board Math Sample Papers for Class 9 by Year

CBSE Board Math Sample Papers for Class 9 for year 2011
Sample Paper – 2011 Class – IX Subject – Mathematics Time Allowed  60 min M.M 30 ►GENERAL INSTRUCTIONS (i) All questions are compulsory. Q.1.If volume of a cube is 216cm3 then its edge is (A) 36cm (b) 6cm (c) 12cm (d) 16cm (2) ...Read More

CBSE Board Math Sample Papers for Class 9 for year 2007
Sample Paper – 2007 Class – IX Mathematics Time: 3hours Max Marks: 80 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 25 questions divided into three sectionsA,B&C. Section A contains 7 questions of 2 marks each. Section B is of 12 questions of 3 marks each and section C is of...Read More

CBSE Board Math Sample Papers for Class 9 for year 2005
Sample Paper 2005 Mathematics  IX Time : 3 or 3 ½ hours Maximum Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 34 questions divided into four sections  A, B, C and D.Section  A contains 8 questions of 1 mark each, Section B is of 6 questions of 2 marks each, Sect...Read More

CBSE Board Math Sample Papers for Class 9 for year 2008
Sample Paper – 2008 Class – IX Subject – Mathematics Time: 3 hrs Marks: 80 General Instructions: 1.All questions are compulsory. 2.The question paper is of 34 questions divided into four sections –A, B, C and D. Section A contains 8 questions of 1 marks each. Section B is of 6 questio...Read More

CBSE Board Math Sample Papers for Class 9 for year 2009
Sample Paper – 2009 Class – IX Subject – Mathematics Total time:3hrs M.M=80 SECTIONA 1)Name the point in a triangle that touches all sides of given triangle. Write its symbol of representation. 2)Where is Orthocenter of a right angled triangle () right angled a...Read More

CBSE Board Math Sample Papers for Class 9 for year 2010
Sample Paper – 2010 Class – IX Subject – Maths General Instructions: (i)All questions are compulsory. (ii)The question paper consists of 30 questions divided into four sections – A, B, C and D. Section A contains 10 questions of 1mark each, Section B contains 5 questions of 2 marks each, Section C contains 10 questions of 3 marks e...Read More
Get help on CBSE Board Sample Question Paper for class 9 Now
Related Links
Previous Year Paper
 CBSE Board Class 12 Geography 2010
 CBSE Board Class 12 Math 2005
 CBSE Board Class 11 Geography 2011
 CBSE Board Class 12 Home Science 2010
 CBSE Board Class 12 Functional English 2008
 Andhra Pradesh Board Class 10 Math 2011
 CBSE Board Class 10 English Elective 2008
 CBSE Board Class 11 Biology 2010
 CBSE Board Class 12 Home Science 2007
 CBSE Board Class 12 Functional English 2007
Syllabus
 CBSE Board Class 11 Biology
 Himachal Pradesh Board Class 10 Social Reconstruction
 Madhya Pradesh Board Class 12 Telugu(Special)
 Madhya Pradesh Board Class 11 National, Social Service(NSS)
 Madhya Pradesh Board Class 12 National Cadet Corps (NCC)
 CBSE Board Class 11 Physics
 Madhya Pradesh Board Class 10 Kannada
 CBSE Board 12th Physics Syllabus
 Madhya Pradesh Board Class 12 Malayalam
 Madhya Pradesh Board Class 10 Gujarati (special)