CBSE sample papers prove to be very useful while revising all the subjects before the exam. They give an idea of the design of examination question paper from which students can understand the format of questions and division of marks to be followed in the exams. This in turn, is quite beneficial to plan a proper strategy for the preparation of exam and writing the exam.

Subject experts at Jagranjosh, bring here the sample paper for CBSE Class 9 Maths. This CBSE sample paper has been exclusively designed to help class 9 students acquaint with the latest format of class 9 Maths question paper and get an idea about the important topics to be tested in the exam. This CBSE Class 9 Maths Sample Paper consists of important questions from the complete syllabus of class 9 Maths. Practicing this sample paper will surely help you make an effective preparation for the class 9 Maths exam 2019.

**Structure of CBSE Class 9 Maths Sample Paper 2019 is as follows:**

- Includes questions asked from the complete syllabus of CBSE class 9 Maths
- Consists of 30 questions divided into four sections A, B, C and D
- Section A contains 6 questions of 1 mark each
- Section B contains 6 questions of 2 marks each
- Section C contains 10 questions of 3 marks each
- Section D contains 8 questions of 4 marks each
- Total marks: 80
- Maximum time : 3 Hours

Solving this Sample Paper will help you fine tune your preparations for the final exam letting you know your weak areas which you may improve with a little more practice and revision.

**Given below is the complete sample paper for CBSE Class 9 Mathematics:**

**Sample Paper 2019**

**CBSE Class 9**

**Mathematics**

**Section – A **

**1.** Write linear equations representing a line which is parallel to y-axis and is at a distance of 2 units on the left side of y-axis.

**2.** Find whether (0, −3) is a solution of linear equation, x – y + 3 =0?

**CBSE Class 9 Mathematics Examination Pattern and Question Paper Design 2019**

**3.** Construct an acute angle and draw its bisector.

**4.** The edge of a solid cube is 6 cm. How many cubes of 6cm edge can be formed from this cube?

**5.** The curved surface area of a right circular cylinder of height 21 cm is 957cm^{2}. Find the diameter of the base of the cylinder.

**6.** Find the radius of largest sphere that is carved out of the cube of side 8 cm.

**Section-B**

**7.** In the given figure, P is any point on the diagonal AC of the parallelogram ABCD. Show that ar(ΔADP) = ar (ΔABP).

**8. **In the given figure, O is the centre of the circle and BA = AC. If ∠ABC = 50^{o}, find ∠BOC and ∠BDC.

**9.** Using ruler and compass, construct ∠XYZ = 105^{o}.

**10.** A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. Find the radius of sphere.

**11.** A die is rolled 150 times and its outcomes are recorded as below:

Find the probability of getting:

(i) An odd number

(ii) A multiple of 4

**12.** Check whether 7/6 can be an emperical probability or not. Give reasons.

**CBSE Class 9 Maths Important Questions with Solutions for Annual Exam 2019**

**Section-C**

**13.** Find two integral solutions of 13x + 17y = 221. Represent this equation by a graph. Does it pass through origin.

**14.** Plot A(3, 0), B(0, 2), C(-3, 0) and D(0, -2) on a graph paper. Join A to B, B to C, C to D and D to A to form a quadrilateral ABCD. Is ABCD is rhombus? Also write the equations of AC and BD.

**15.** PQRS is a quadrilateral. A line through S parallel to PR meets QR produced in X. Show that ar(PQRS) = ar(ΔPXQ).

**16.** Small spherical balls, each of diameter 0.6 cm, are formed by melting a solid sphere of radius 3 cm. Find the number of balls thus obtained.

**17.** Draw a line segment SR of length 10 cm. Divide it into 4 equal parts, using compass and rular.

**18.** There are 100 students in a class. The mean height of the class is 150 cm. If the mean height of 60 boys is 70 cm, find the mean height of the girls in the class.

**19.** If adjacent angles A and B of parallelogram ABCD are in the ratio 7:5, then find all the angles of parallelogram.

**20.** 26. A Room is 30m long, 24 m broad and 18 m high. Find:

(a) Iength of the longest rod that can be placedd in the room.

(b) its total surface area.

(c) its volume.

**21.** Two coins were tossed 20 times simultaneously. Each time the number of heads occurring was noted as follows:

0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2

Prepare a frequency distribution table for the data.

**22.** Weekly wages (in rupees) of workers in a factory are as follow:

Find the probability that a worker chosen at random earns:

(a) Rs. 1800 or more but less than Rs. 1850.

(b) Below Rs. 1825.

(c) at least Rs. 1775.

**CBSE Class 9 Maths Chapter-wise Important Topics and Questions**

**Section-D**

**23.** Draw the graphs of the following equations on the same graph sheet:

x – y = 0, x + y = 0, y + 5 = 0. Also, find the area enclosed between these lines.

**24.** Let the cost of a pen and a pencil be Rs. x and Rs. y respectively. Anuj pays Rs. 34 for 3 pens and 2 pencils. Write the given data in the form of a linear equation in two variables. Also, represent it graphically.

**25.** Construct a ΔABC in which BC = 7.2 cm, ∠B = 45^{0} and AB – AC = 3cm.

**26.** In the given figure, ABCD is a parallelogram in which CB is produced to E such that BC = BE. The line segment DE intersects side AB at F. If ar( ΔADF) = 4cm^{2}, find the area of parallelogram ABCD.

**27.** Prove that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

**28.** A group of 21 school students shared the ice-cream brick in lunch break to celebrate the Independence Day. If each one takes a hemispherical scoop of ice-cream of 3 cm radius, find the volume of ice-cream eaten by them.

(a) If the dimensions of the ice-cream brick are 10cm × 10cm × 12cm, how much volume of cream is left?

(b) Which value is depicted by the students?

(Use π = 22/7)

**29.** A cone, hemisphere and a cylinder stand on the same base and have equal height. Find the ratio of their:

(a) Volumes,

(b) Curved surface areas.

**30.** Without drawing a histogram, construct a frequency polygon for the given frequency distribiution:

**Students may also check the following links to explore more stuff that is important for CBSE Class 9 Annual exam preparations:**