MBOSE Class 9 Sample Question Paper 2026 Maths

Meghalaya Board of School Education

SAMPLE
PAPERS

MATHEMATICS
CLASS IX
Duration : 3 Hours
Full Marks: 80
General Instructions:

 Answer all questions
 Please check that there are Question in the Question Paper.
 Marks for each Question are indicated against the Question.
 The question paper is divided into 4 Section- A, B,C,D
Section A- Question 1 contains 10 questions of objective type question of 1 mark each
Question 2 contains of 5 questions of Fill in the blanks of 1 mark each
Question 3 contain of 5 questions of True or False of 1 mark each
Section B- Question 4 to 11 contains 8 Very Short Answer Type of 2 marks each
Section C- Question 12 to 19 contains 8 Short Answer Type of 3 marks each
Section D- Question 20 to 23 contains 4 Long Answer Type of 5 marks each

SECTION A

1. Multiple Choice Questions: (�� × � = �� marks)
a) Which of the following is an irrational number?
(i) 27
(ii) 144
(iii) 0.3796
(iv) π

b) A polynomial of degree 3 is called a:
(i) Linear polynomial
(ii) Quadratic polynomial
(iii) Cubic polynomial
(iv) Quartic polynomial

c) The degree of the polynomial 4� − �2 is:
(i) 4
(ii) −1
(iii) 2
(iv) −2

d) The cost of a notebook is thrice the cost of a pen. If the cost of a
notebook is ₹ � and the cost of a pen is ₹ �, then its linear equation is
given by:
(i) 3� = �
(ii) 3� + � = 0
(iii) 3� =− �
(iv) � = 3�

28

e) Which of the following angle is a reflex angle?
(i) 360°
(ii) 180°
(iii) 270°
(iv) None of the above

f) Which of the following is not a congruence rule of a triangle?
(i) SAS
(ii) RHS
(iii) AAS
(iv) SSA

g) In the following figure, O is the centre of the
circle and PR = PQ. The measure of ∠PQR is:
(i) 60o
(ii) 45o
(iii) 30o
(iv) 90o

h) The volume of a right circular cone with radius 6 cm and height 7 cm
is:
(i) 264 ��3
(ii) 200 ��3
(iii) 221 ��3
(iv) 246 ��3

i) The radius of a sphere with surface area 154 ��2 is:
(i) 3.5cm
(ii) 7 cm
(iii) 14 cm
(iv) 3 cm

j) In which quadrant does the point 7, − 3 lie?
(i) 1st quadrant
(ii) 2nd quadrant
(iii) 3rd quadrant
(iv) 4th quadrant

2. Fill in the blanks: (� × � = � marks)
a) The degree of a non-zero constant polynomial is _________.
b) The ends of a line are ________.
c) Lines which are parallel to the same line are _________ to each other.
d) Angles in the same segment of a circle are ________.
e) The point of intersection of the Coordinate axes is called _________.

29

3. State whether the following statements are true or false: ( � × � = �
marks)
a) A linear equation in two variables has a unique solution.
b) If equals are subtracted from equals, the remainders are equal.
c) A diagonal of a parallelogram divides it into two equal triangles.
d) The curve surface area of a cone with radius '�' , height 'ℎ' and slant
height '�' is given by the formula ���.
e) The coordinates of any point on the y-axis are of the form (�, 0).

SECTION B

4. Find six rational numbers between 3 and 4.
5. Find �(0) and �(1) for the polynomial � � = �2 − � + 1.

6. Find the zero of the polynomial � � = 3� + 1.
7. ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C .
Show that ABCD is a square.
8. If the sides of a triangle are 8 cm, 5 cm and 5 cm respectively. Find
the area using Heron’s formula.
9. Find the total surface area of a cone, if its slant height is 21 m and
diameter of its base is 24 m.
OR
Find the curved surface area of a right circular cone whose slant
height is 8 cm and radius of its base is 7 cm.

10. What is the name of the horizontal and the vertical lines drawn to
determine the position of any point in the Cartesian plane?

11. In the following figure, AD and BC are equal
perpendiculars to a line segment AB.
Show that CD bisects AB.

OR

In the following figure, ABCD is a quadrilateral
in which AD = BC and ∠DAB = ∠CBA.
Prove that:
a) ∆DAB ≅ ∆BAC
b) BD = AC

30

SECTION C

5
12. Find three different irrational numbers between the rational number
7
9
and .
11
13. Find the value of �, if (2� − 3) is a factor of 2�3 − 9�2 + � + �.
14. Write three solutions for the equation 2� + � = 7.
15. If a point C lies between two points A and B such that AC = BC, then
1
prove that AC = 2 AB. Explain by drawing the figure.
16. In the following figure, line AB and CD
intersect at O. If ∠AOC + ∠BOE = 70o and
∠BOD = 40o , find ∠BOE and reflex ∠COE.

OR

In the following figure, if AB ∥ CD, EF ⊥ CD
and ∠GED = 126°, find ∠AGE and ∠GEF.

17. ABCD is a parallelogram and AP and CQ are
perpendiculars from vertices A and C on
diagonal BD. Show that:
a) ∆APB ≅ ∆CQD
b) AP = CQ

OR

ABCD is a quadrilateral in which P, Q, R and S
are midpoints of the sides AB, BC, CD and DA
respectively. AC is a diagonal. Show that:
1
a) SR ∥ AC and SR = 2 AC
b) PQ = SR

31

18. In the following figure, A, B and C are three
points on a circle with centre O such that
∠BOC = 30o and ∠AOB = 60o . If D is a
point on the circle other than the arc ABC,
find ∠ADC.

19. A traffic signal board, indicating ‘School Ahead’ is an equilateral
triangle with side ‘a’. Find the area of the signal board, using Heron’s
formula if its perimeter is 180cm.
SECTION D

20. In an isosceles triangle ABC with AB = AC, the bisectors of ∠B and ∠C
intersect each other at O. Join A to O. Show that:
a) OB = OC.
b) AO bisects ∠A.

21. If two equal chords of a circle intersect within the circle, prove that the
segments of one chord are equal to corresponding segments of the
other chord.

OR
If diagonals of a cyclic quadrilateral are diameters of the circle through
the vertices of the quadrilateral, prove that it is a rectangle.

22. A hemispherical bowl made of brass has inner diameter 10.5 cm. Find
thecost of tin-plating it on the inside at the rate of ₹ 16 per 100 ��2 .

23. Given below are the seats won by different political parties in the
polling outcome of a state assembly elections:
Political Party A B C D E F
Seats Won 75 55 37 29 10 37
a) Draw a bar graph to represent the polling results.
b) Which political party won the maximum number of seats?

OR

32

The following table gives the life times of 400 neon lamps:
Life time (in Number of
hours) lamps
300 - 400 14
400 - 500 56
500 - 600 60
600 - 700 86
700 - 800 74
800 - 900 62
900 - 1000 48

a) Represent the given information with the help of a histogram.
b) How many lamps have a life time of more than 700 hours?

*************************

33

AglaSem Earn While You Learn Program!

Share your recent question papers with us and get paid!
अपने हाल के न प हम भेज और कमाएँ!

To participate, email us with the following details:
भाग लेने के लए हम न न ववरण के साथ ईमेल कर:

- Your Name
- Your Class
- Your Board
- Details of the Question Papers you have
आपके पास उपल ध न प का ववरण

Our team will reach out to you with the next steps.
हमार ट म आगे क या के लए आपसे संपक करे गी।

Email: support@

Study Materials
Notes

Model Papers Class 6 Notes

Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes

Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats

Maps of India / World Class 12 Notes

Books and Solutions

NCERT Books
NCERT Book Solutions
HC Verma Chapter Wise Solutions
RD Sharma Solutions
CGBSE Solutions